JP2019160260A - Teaching material learning schedule determining device - Google Patents

Teaching material learning schedule determining device Download PDF

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JP2019160260A
JP2019160260A JP2018050297A JP2018050297A JP2019160260A JP 2019160260 A JP2019160260 A JP 2019160260A JP 2018050297 A JP2018050297 A JP 2018050297A JP 2018050297 A JP2018050297 A JP 2018050297A JP 2019160260 A JP2019160260 A JP 2019160260A
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JP7039015B2 (en
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敬介 稲川
Keisuke Inagawa
敬介 稲川
弘信 岡崎
Hironobu Okazaki
弘信 岡崎
和彦 木戸
Kazuhiko Kido
和彦 木戸
橋本 信一
Shinichi Hashimoto
信一 橋本
衣里 福田
Eri Fukuda
衣里 福田
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Akita Prefectural University
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Abstract

To determine a learning schedule of teaching materials to improve your results in private trials.SOLUTION: An information storage units 21 to 23 store the rates of a plurality of types of problems, the measure of learning effect for every study element of a large number of teaching materials for one section of the material, and the index for ordering of at least the study in N top sections defined independently for the teaching-material for every study element of a private sector examination between teaching materials which are different at the same study rank, have the index becoming smaller with more advantageous study in the ranking, and the index becoming large as the rank falls with the same teaching materials. The processing unit 26 searches the N teaching materials with the maximum ordered N combinations of the learning effect degree for each learning element, the learning effect rate for a learner erroneous answer rate, and the value obtained by the N number of teaching materials, which are selected as the maximum ordered N combinations of N teaching materials, using the combination of the learning effect level and the learning effect degree of the learner's erroneous answer rate, using the positive answer rate for each of the learning elements in the preliminary test of the memory units 21 to 23.SELECTED DRAWING: Figure 1

Description

本発明は教材学習スケジュール決定装置に係り、とくに試験での成績アップを図るための教材学習スケジュール決定装置に関する。   The present invention relates to a learning material learning schedule determination device, and more particularly to a learning material learning schedule determination device for improving results in a test.

近年、ビジネス・通信のグローバル化、海外旅行の普及などに伴い、外国語の修得の必要性が益々高くなってきている。学校教育においては限られた授業時間内で個々の学習者の語学力を如何に効率良く向上させるかが重要な課題となっている。学校教育で実施されているコンピュータ支援語学学習システムには、種々の難易度の多数の語学教材を用意しておき、予備テストで個々の学習者の語学力を評価し、多数の語学教材の中から学習者の語学力に見合った語学教材を抽出し学習者に提示するものがある。例えば、文法が弱い学習者に文法の学習効果が高い語学教材を抽出して提示したり、語彙力が弱い学習者に語彙力の学習効果が高い語学教材を抽出して提示したり、リスニングにおける弱音、破裂音、リエゾン(連結)、消える音、短縮形などが弱い学習者には、それぞれの学習効果が高い語学教材を抽出して提示したりすることもできる。   In recent years, with the globalization of business / communications and the spread of overseas travel, the need to learn foreign languages is increasing. In school education, how to improve the language skills of individual learners within a limited class time is an important issue. The computer-aided language learning system implemented in school education prepares a large number of language teaching materials of various difficulty levels, evaluates the language skills of individual learners in preliminary tests, and includes a number of language teaching materials. There are some that extract language teaching materials that match the learner's language skills and present them to the learner. For example, it extracts and presents language teaching materials with high grammar learning effects to learners with weak grammar, extracts and presents language teaching materials with high vocabulary learning effects to learners with weak vocabulary, For learners who are weak in weak sounds, plosives, liaisons (concatenation), disappearing sounds, abbreviations, etc., they can also extract and present language teaching materials with high learning effects.

ところで、企業での人材の採用や海外勤務の選考にあたって、語学力を社会で大規模に実施されている民間の語学試験または公的な語学試験の成績で評価する場合が多くなっている。これらの学校外で実施される語学試験は、実社会で通用する語学力をかなり正確に評価できる内容となっており、学校教育においてこれらの語学試験の成績向上を目標とすることは理にかなった方針と言える。
けれども、従来のコンピュータ支援語学学習システムは、学習者の語学力の弱点部分を強化する学習はできるものの、社会で実施されている語学試験の成績向上を効率的に図るものとはなっていなかった。
By the way, in recruiting human resources in companies and selecting for overseas work, language skills are often evaluated based on the results of private language tests or public language tests conducted on a large scale in society. The language tests conducted outside these schools can be used to assess the language skills that can be used in the real world fairly accurately, and it makes sense to aim to improve the results of these language tests in school education. This is a policy.
However, although the conventional computer-aided language learning system can learn to strengthen the weak points of the learner's language ability, it has not been effective in improving the performance of language tests conducted in society. .

本発明は上記した従来技術の問題に鑑みなされたもので、試験での成績アップを図ることのできる教材学習スケジュール決定装置を提供することを、その目的とする。   The present invention has been made in view of the above-described problems of the prior art, and an object of the present invention is to provide a learning material learning schedule determination apparatus capable of improving results in a test.

請求項1記載の発明では、
学習者が受験予定の或る試験における過去の試験での複数種の学習要素毎の問題出題率を記憶した第1の記憶手段と、
前記或る試験対策用であって各々1学習コマ分の多数の教材について、複数種の学習要素毎に期待される学習効果度を記憶した第2の記憶手段と、
教材別、N個の学習コマの中での学習コマ順位別に定められた順序付け用指数であって、同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きく(小さく)なるように定めた順序付け用指数の情報を記憶した第3の記憶手段と、
第1乃至第3の記憶手段に記憶された情報と、学習者が事前に受けた予備テストでの学習要素毎の正答率または誤答率の情報を用いて、同じ教材はN個の学習コマ数の中で高々一回だけ学習するという制約条件下で、多数の教材の中から種々にN個の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、予め定められた複数種の学習要素についてと選択されたN個の教材について加算した第1の値と、選択された順序付のN個の教材の各選択順位の順序付け用指数をN個の教材について加算した第2の値とを重み付け加算した値が最大となる順序付けのN個の組み合わせを、数理計画法により探索する探索手段と、
を含むことを特徴としている。
請求項2記載の発明では、
第3の記憶手段は、教材別、N個の学習コマの中での学習コマ順位別に定められた順序付け用指数であって、同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が小さく(大きく)なるように定めた順序付け用指数の情報を記憶するようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴としている。
請求項3記載の発明では、
数理計画法により第1の値を求める際の学習要素の種類を学習者または教師が設定する学習要素設定手段を設け、
探索手段は、第1の値を計算する際、多数の教材の中から種々にN個の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、学習要素設定手段で設定された複数種の学習要素についてと選択されたN個の教材について加算するようにしたこと、
を特徴としている。
請求項4記載の発明では、
学習者が受験予定の或る試験における過去の試験での複数種の学習要素毎の問題出題率を記憶した第1の記憶手段と、
前記或る試験対策用の多数の教材について、複数種の学習要素毎に期待される学習効果度と予定学習時間を記憶した第2の記憶手段と、
教材別、N個の学習コマの中での学習コマ順位別に定められた順序付け用指数であって、同じ学習コマ順位で異なる教材間では先順位での学習が有利なほど指数が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きく(小さく)なるように定めた順序付け用指数の情報を記憶した第3の記憶手段と、
第1乃至第3の記憶手段に記憶された情報と、学習者が事前に受けた予備テストでの学習要素毎の正答率または誤答率の情報を用いて、同じ教材はN個の学習コマ数の中で高々一回だけ学習するという制約条件と、1つの学習コマ内で1以上の教材を学習可能であるが教材の予定学習時間の合計は一コマ分の学習時間を超えないという制約条件下で、全教材の中から種々にNコマ分の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、予め定められた範囲の学習要素についてと選択されたNコマ分の教材について加算した第1の値と、選択された順序付のNコマ分の教材の各選択順位の順序付け用指数をNコマ分の教材について加算した第2の値とを重み付け加算した値が最大となるNコマ分の順序付の教材の個の組み合わせを、数理計画法により探索する探索手段と、
を含むことを特徴としている。
請求項5記載の発明では、
第3の記憶手段は、教材別、N個の学習コマの中での学習コマ順位別に定められた順序付け用指数であって、同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が小さく(大きく)なるように定めた順序付け用指数の情報を記憶するようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴としている。
請求項6記載の発明では、
数理計画法により第1の値を求める際の学習要素の種類を学習者または教師が設定する学習要素設定手段を設け、
探索手段は、第1の値を計算する際、多数の教材の中から種々にNコマ分の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、学習要素設定手段で設定された複数種の学習要素についてと選択されたNコマ分の教材について加算するようにしたこと、
を特徴としている。
請求項7記載の発明では、
順序付け用指数は、教材の難易度を指標に定めてあること、
を特徴としている。
請求項8記載の発明では、
順序付け指数は、先順位での学習が有利な特定の1または複数の学習要素を指標に定めてあること、
を特徴としている。
請求項9記載の発明では、
順序付け指数は、後順位での学習が有利な特定の1または複数の学習要素を指標に定めてあること、
を特徴としている。
請求項10記載の発明では、
学習者が受験予定の或る試験における過去の試験での複数種の学習要素毎の問題出題率を記憶した第1の記憶手段と、
前記或る試験対策用であって各々1学習コマ分の多数の教材について、複数種の学習要素毎に期待される学習効果度を記憶した第2の記憶手段と、
複数種の学習要素の中から学習者が優先的な学習コマ順位で学習したい学習要素を指定する指定手段と、
指定手段で指定された学習要素についての各教材の学習効果度から、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど大きく(小さく)なる順序付け用指数を作成するための情報を記憶した第3の記憶手段と、
第1乃至第3の記憶手段に記憶された情報と、学習者が事前に受けた予備テストでの学習要素毎の正答率または誤答率の情報を用いて、同じ教材はN個の学習コマ数の中で高々一回だけ学習するという制約条件下で、多数の教材の中から種々にN個の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、予め定めた複数種の学習要素についてと選択されたN個の教材について加算した第1の値と、選択された順序付のN個の教材の各選択順位の順序付け用指数をN個の教材について加算した第2の値とを重み付け加算した値が最大となる順序付けのN個の組み合わせを、数理計画法により探索する探索手段と、
を含むことを特徴としている。
請求項11記載の発明では、
第3の記憶手段は、指定手段で指定された学習要素についての各教材の学習効果度から、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど小さく(大きく)なる順序付け用指数を作成するための情報を記憶するようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴としている。
請求項12記載の発明では、
第3の記憶手段は、学習要素毎に、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習要素に対応する学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど大きく(小さく)なる順序付け用指数を記憶しておくようにしたこと、
を特徴としている。
請求項13記載の発明では、
第3の記憶手段は、学習要素毎に、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習要素に対応する学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど小さく(大きく)なる順序付け用指数を記憶しておくようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴としている。
請求項14記載の発明では、
数理計画法により第1の値を求める際の学習要素の種類を学習者または教師が設定する学習要素設定手段を設け、
探索手段は、第1の値を計算する際、多数の教材の中から種々にN個の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、学習要素設定手段で設定された複数種の学習要素についてと選択されたN個の教材について加算するようにしたこと、
を特徴としている。
請求項15記載の発明では、
学習者が受験予定の或る試験における過去の試験での複数種の学習要素毎の問題出題率を記憶した第1の記憶手段と、
前記或る試験対策用の多数の教材について、複数種の学習要素毎に期待される学習効果度と予定学習時間を記憶した第2の記憶手段と、
複数種の学習要素の中から学習者が優先的な学習コマ順位で学習したい学習要素を指定する学習要素指定手段と、
指定手段で指定された学習要素についての各教材の学習効果度から、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど大きく(小さく)なる順序付け用指数を作成するための情報を記憶した第3の記憶手段と、
第1乃至第3の記憶手段に記憶された情報と、学習者が事前に受けた予備テストでの学習要素毎の正答率または誤答率の情報を用いて、同じ教材はN個の学習コマ数の中で高々一回だけ学習するという制約条件と、1つの学習コマ内で1以上の教材を学習可能であるが教材の予定学習時間の合計は一コマ分の学習時間を超えないという制約条件下で、全教材の中から種々にNコマ分の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、予め定められた複数種の学習要素についてと選択されたNコマ分の教材について加算した第1の値と、選択された順序付のNコマ分の教材の各選択順位の順序付け用指数をNコマ分の教材について加算した第2の値とを重み付け加算した値が最大となるNコマ分の順序付の教材の個の組み合わせを、数理計画法により探索する探索手段と、
を含むことを特徴としている。
請求項16記載の発明では、
第3の記憶手段は、指定手段で指定された学習要素についての各教材の学習効果度から、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど小さく(大きく)なる順序付け用指数を作成するための情報を記憶するようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴としている。
請求項17記載の発明では、
第3の記憶手段は、学習要素毎に、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習要素に対応する学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど大きく(小さく)なる順序付け用指数を記憶しておくようにしたこと、
を特徴としている。
請求項18記載の発明では、
第3の記憶手段は、学習要素毎に、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習要素に対応する学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど小さく(大きく)なる順序付け用指数を記憶しておくようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴としている。
請求項19記載の発明では、
数理計画法により第1の値を求める際の学習要素の種類を学習者または教師が設定する学習要素設定手段を設け、
探索手段は、第1の値を計算する際、多数の教材の中から種々にNコマ分の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、学習要素設定手段で設定された複数種の学習要素についてと選択されたNコマ分の教材について加算するようにしたこと、
を特徴としている。
請求項20記載の発明では、
学習者が事前に受けた予備テストでの学習要素毎の正答率または誤答率の情報を探索手段に入力する入力手段を設けたこと、
を特徴としている。
請求項21記載の発明では、
探索手段での探索結果を学習者に提示する提示手段を設けたこと、
を特徴としている。
In invention of Claim 1,
A first storage means for storing a question assignment rate for each of a plurality of types of learning elements in a past test in a test that the learner is scheduled to take;
A second storage means for storing a degree of learning effect expected for each of a plurality of types of learning elements for a number of learning materials for each of the learning frames for the certain test measure;
An index for ordering determined by the learning material and the learning frame ranking among the N learning frames. The learning index that has the advantage of learning in the previous ranking between the different learning materials in the same learning frame ranking is smaller (larger) ), A third storage means for storing information on an index for ordering that is determined such that the index increases (decreases) as the rank decreases between different learning frame ranks in the same teaching material;
Using the information stored in the first to third storage means and the information on the correct answer rate or the incorrect answer rate for each learning element in the preliminary test that the learner received in advance, the same teaching material has N learning frames. The learning effectiveness and learning error rate for each learning element when N materials are selected in order from various teaching materials under the constraint of learning only once at most And a first value obtained by adding the product of the question assignment rate in the exam for a plurality of predetermined learning elements and for the selected N teaching materials, and for each of the selected ordered N teaching materials Search means for searching for N combinations of ordering that maximizes a value obtained by weighting and adding a second value obtained by adding the ordering index of selection order for N teaching materials;
It is characterized by including.
In invention of Claim 2,
The third storage means is an index for ordering determined for each learning material and for each learning frame rank among the N learning frames, and it is advantageous to learn in the previous rank between different learning materials with the same learning frame rank. The learning index information is set so that the index is smaller (larger) and the index is smaller (larger) as the ranking is lower between different learning frames in the same teaching material.
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
It is characterized by.
In invention of Claim 3,
A learning element setting means is provided for the learner or teacher to set the type of learning element when the first value is determined by mathematical programming.
When the first value is calculated, the search means determines the learning effect level for each learning element, the error rate of the learner, and the test when various N learning materials are selected from a large number of learning materials in order. The product of the question rate of questions is added for the multiple learning elements set by the learning element setting means and the selected N teaching materials,
It is characterized by.
In invention of Claim 4,
A first storage means for storing a question assignment rate for each of a plurality of types of learning elements in a past test in a test that the learner is scheduled to take;
A second storage means for storing a learning effect level and a planned learning time expected for each of a plurality of types of learning elements for a plurality of teaching materials for a certain test measure;
This is an index for ordering that is determined by the learning material and the learning frame ranking among the N learning frames, and the index is smaller (larger) between different learning materials with the same learning frame ranking, so that learning in the previous ranking is advantageous. A third storage means for storing information on an ordering index that is determined so that the index increases (decreases) as the rank decreases between different learning frame ranks in the same teaching material;
Using the information stored in the first to third storage means and the information on the correct answer rate or the incorrect answer rate for each learning element in the preliminary test that the learner received in advance, the same teaching material has N learning frames. Restriction that only one learning is possible at most, and one or more teaching materials can be learned in one learning frame, but the total learning time of teaching materials does not exceed the learning time for one frame Under the conditions, the product of the learning effectiveness for each learning element, the error rate of the learner, and the question rate in the exam when the materials for N frames are selected from various teaching materials in order. The first value added for the learning elements in the defined range and the selected N-frame learning materials, and the ordering index for each selection order of the selected ordered N-frame learning materials are set for N frames. N values that maximize the weighted addition of the second value added for the learning material The number of combinations of the partial ordering of materials for, and search means for searching by mathematical programming,
It is characterized by including.
In invention of Claim 5,
The third storage means is an index for ordering determined for each learning material and for each learning frame rank among the N learning frames, and it is advantageous to learn in the previous rank between different learning materials with the same learning frame rank. The learning index information is set so that the index is smaller (larger) and the index is smaller (larger) as the ranking is lower between different learning frames in the same teaching material.
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
It is characterized by.
In invention of Claim 6,
A learning element setting means is provided for the learner or teacher to set the type of learning element when the first value is determined by mathematical programming.
When the search means calculates the first value, the learning effect level for each learning element, the learner's error rate, and the test when various N frames of materials are selected in order from among a large number of materials The product of the question rate of questions at is added for the multiple learning elements set by the learning element setting means and for the selected N-frame teaching materials,
It is characterized by.
In invention of Claim 7,
The ordering index is based on the difficulty level of the teaching materials.
It is characterized by.
In invention of Claim 8,
The ordering index is based on one or more specific learning elements that are advantageous for learning in order of precedence,
It is characterized by.
In invention of Claim 9,
The ordering index is based on one or more specific learning elements that are advantageous for learning at a later rank,
It is characterized by.
In invention of Claim 10,
A first storage means for storing a question assignment rate for each of a plurality of types of learning elements in a past test in a test that the learner is scheduled to take;
A second storage means for storing a degree of learning effect expected for each of a plurality of types of learning elements for a number of learning materials for each of the learning frames for the certain test measure;
A designation means for designating a learning element that a learner wants to learn in a preferential learning frame rank from among a plurality of types of learning elements,
From the learning effect level of each learning material for the learning element specified by the designating means, the higher the learning effect level between different learning materials with the same learning frame rank, according to the learning frame rank by learning material and among the learning frame ranks among the N learning frames. Third storage means for storing information for creating an index for ordering that is smaller (larger) and larger (smaller) as the rank decreases between different learning frame ranks in the same teaching material;
Using the information stored in the first to third storage means and the information on the correct answer rate or the incorrect answer rate for each learning element in the preliminary test that the learner received in advance, the same teaching material has N learning frames. The learning effectiveness and learning error rate for each learning element when N materials are selected in order from various teaching materials under the constraint of learning only once at most And a first value obtained by adding the product of the question assignment rate in the exam and a plurality of predetermined learning elements and the selected N teaching materials, and each of the selected ordered N teaching materials A search means for searching for N combinations of ordering by which a value obtained by weighting and adding a second value obtained by adding the ordering index for ranking to N teaching materials is maximized by mathematical programming;
It is characterized by including.
In the invention according to claim 11,
The third storage means is based on the learning effect level of each learning material for the learning element specified by the specifying means, and is based on the learning frame ranking among the learning frames in each of the learning materials and in the N learning frames. Then, the higher the learning effectiveness, the smaller the value (larger), and the information for creating an index for ordering that decreases (larger) as the ranking decreases between different learning frame rankings in the same material,
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
It is characterized by.
In invention of Claim 12,
The third storage means has a larger learning effect level corresponding to a learning element between different learning materials in the same learning frame ranking for each learning element, for each learning material, and for each learning frame ranking among the N learning frames. An index for ordering that is smaller (larger) and larger (smaller) as the rank goes down between different learning frames in the same material,
It is characterized by.
In invention of Claim 13,
The third storage means has a larger learning effect level corresponding to a learning element between different learning materials in the same learning frame ranking for each learning element, for each learning material, and for each learning frame ranking among the N learning frames. Remember that the ordering index is smaller (larger) and smaller (larger) as the rank goes down between different learning frames in the same material,
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
It is characterized by.
In invention of Claim 14,
A learning element setting means is provided for the learner or teacher to set the type of learning element when the first value is determined by mathematical programming.
When the first value is calculated, the search means determines the learning effect level for each learning element, the error rate of the learner, and the test when various N learning materials are selected from a large number of learning materials in order. The product of the question rate of questions is added for the multiple learning elements set by the learning element setting means and the selected N teaching materials,
It is characterized by.
In the invention of claim 15,
A first storage means for storing a question assignment rate for each of a plurality of types of learning elements in a past test in a test that the learner is scheduled to take;
A second storage means for storing a learning effect level and a planned learning time expected for each of a plurality of types of learning elements for a plurality of teaching materials for a certain test measure;
A learning element specifying means for specifying a learning element that a learner wants to learn in a priority learning frame rank from a plurality of types of learning elements,
From the learning effect level of each learning material for the learning element specified by the designating means, the higher the learning effect level between different learning materials with the same learning frame rank, according to the learning frame rank by learning material and among the learning frame ranks among the N learning frames. Third storage means for storing information for creating an index for ordering that is smaller (larger) and larger (smaller) as the rank decreases between different learning frame ranks in the same teaching material;
Using the information stored in the first to third storage means and the information on the correct answer rate or the incorrect answer rate for each learning element in the preliminary test that the learner received in advance, the same teaching material has N learning frames. Restriction that only one learning is possible at most, and one or more teaching materials can be learned in one learning frame, but the total learning time of teaching materials does not exceed the learning time for one frame Under the conditions, the product of the learning effectiveness for each learning element, the error rate of the learner, and the question rate in the exam when the materials for N frames are selected from various teaching materials in order. The first value added for the determined plural kinds of learning elements and the selected N-frame teaching materials, and the ordering index for each selection order of the selected ordered N-frame teaching materials for N frames N is the largest value obtained by weighted addition of the second value added for the teaching materials of The number of combinations of Ma partial ordering of materials for, and search means for searching by mathematical programming,
It is characterized by including.
In the invention of claim 16,
The third storage means is based on the learning effect level of each learning material for the learning element specified by the specifying means, and is based on the learning frame ranking among the learning frames in each of the learning materials and in the N learning frames. Then, the higher the learning effectiveness, the smaller the value (larger), and the information for creating an index for ordering that decreases (larger) as the ranking decreases between different learning frame rankings in the same material,
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
It is characterized by.
In the invention of claim 17,
The third storage means has a larger learning effect level corresponding to a learning element between different learning materials in the same learning frame ranking for each learning element, for each learning material, and for each learning frame ranking among the N learning frames. An index for ordering that is smaller (larger) and larger (smaller) as the rank goes down between different learning frames in the same material,
It is characterized by.
In the invention according to claim 18,
The third storage means has a larger learning effect level corresponding to a learning element between different learning materials in the same learning frame ranking for each learning element, for each learning material, and for each learning frame ranking among the N learning frames. Remember that the ordering index is smaller (larger) and smaller (larger) as the rank goes down between different learning frames in the same material,
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
It is characterized by.
In the invention of claim 19,
A learning element setting means is provided for the learner or teacher to set the type of learning element when the first value is determined by mathematical programming.
When the search means calculates the first value, the learning effect level for each learning element, the learner's error rate, and the test when various N frames of materials are selected in order from among a large number of materials The product of the question rate of questions at is added for the multiple learning elements set by the learning element setting means and for the selected N-frame teaching materials,
It is characterized by.
In the invention of claim 20,
Providing an input means for inputting information on the correct answer rate or the incorrect answer rate for each learning element in the preliminary test that the learner has received in advance to the search means;
It is characterized by.
In the invention of claim 21,
Provided a presentation means for presenting the search results of the search means to the learner;
It is characterized by.

本発明によれば、学習者が受験予定の公的または民間の試験対策用の多数の教材の中から、学習者の受験成績向上に適したNコマ分の教材と学習順序を決定可能となる。   According to the present invention, the learning material for N frames suitable for improving the student's examination results and the learning order can be determined from among a large number of public or private examination preparation materials that the learner plans to take. .

本発明の一実施例に係る英語の教材学習スケジュール決定システムの構成図である(実施例1)。It is a block diagram of the English teaching material learning schedule determination system which concerns on one Example of this invention (Example 1). 順序付け用指数の説明図である。It is explanatory drawing of the index for ordering. 図1中の情報端末の処理部の動作を示すフローチャートである。It is a flowchart which shows operation | movement of the process part of the information terminal in FIG. 図1中のプレテスト用サーバの処理部の動作を示すフローチャートである。It is a flowchart which shows operation | movement of the process part of the server for pretests in FIG. 図1中の教材学習スケジュール決定用サーバの処理部の動作を示すフローチャートである。It is a flowchart which shows operation | movement of the process part of the server for a learning material learning schedule determination in FIG. 図1の変形例に係る英語の教材学習スケジュール決定システムの構成図である。It is a block diagram of the English teaching material learning schedule determination system which concerns on the modification of FIG. 図7の教材学習スケジュール決定システムの順序付け用指数情報記憶部に記憶させる情報の例を示す説明図である。It is explanatory drawing which shows the example of the information memorize | stored in the index information storage part for ordering of the teaching material learning schedule determination system of FIG.

以下、本発明の最良の形態を実施例に基づき説明する。   Hereinafter, the best mode of the present invention will be described based on examples.

図1は本発明の一実施例に係る英語の教材学習スケジュール決定システムの構成を示すブロック図であり、コンピュータシステムにより具現されている。英語の教材学習スケジュール決定システムは学習者が例えば1コマT時間(Tは1時間でも良いし、2時間でも良いし、90分などでも良い)で学習コマ数N=15コマ分の英語学習をする際に、予め準備された多数の英語の教材を対象にして、外部で行なわれる公的または民間の或る特定の英語試験Zの対策に適した英語教材の組合せを決定するものである。決定にあたっては、英語試験Zの過去問における英語の学習要素毎の問題出題率と、学習者の英語の学習要素毎の現在の学力と、各教材の学習要素毎の学習効果度とを加味することにより、英語試験Zの成績向上に最適な英語教材の組合せを決定する。同時に、1コマ目から15コマ目までの教材の学習コマ順序も決定する。   FIG. 1 is a block diagram showing a configuration of an English teaching material learning schedule determination system according to an embodiment of the present invention, which is embodied by a computer system. The learning material decision schedule system for English teaching materials allows the learner to learn English for the number of learning frames N = 15 in one frame T time (T may be 1 hour, 2 hours, 90 minutes, etc.) In this case, a combination of English teaching materials suitable for measures for a specific public or private English test Z performed outside is determined for a large number of English teaching materials prepared in advance. In making the decision, the question assignment rate for each English learning element in the past questions of the English test Z, the current academic ability of each learner's English learning element, and the learning effectiveness for each learning element of each teaching material are taken into account. Thus, the combination of English teaching materials that is most suitable for improving the results of the English test Z is determined. At the same time, the learning frame order of the teaching materials from the first frame to the 15th frame is also determined.

図1において、10はプレテスト用サーバであり、この内、11は学習者の現在の英語力を検査するための多数のプレテストと正解を記憶したプレテスト情報記憶部であり、プレテストは、学習要素Bj (j=1、2、・・。ここでは例えば、文法がB1 、語彙がB2 、リスニングにおける弱音、破裂音、リエゾン(連結)、消える音、短縮形がB3 乃至B7 、・・などとする)の種類毎に類別されており、学習者の学習要素毎の正答率pj を計算可能になっている。なお、正答率pj はここでは100%正答のときに1となる数値で表すものとする(0≦pj ≦1)。12はプレテスト用サーバ10の動作を制御するプログラムを記憶したプログラム記憶部、13は外部との間でデータや命令の入出力を行う入出力部、14は処理部であり、プログラム記憶部12に記憶されたプログラムに基づき、外部から入出力部13を介してプレテストの呼び出し要求を入力すると、プレテスト情報記憶部11から読み出して入出力部13を介して要求元に送信したり、外部からプレテストの解答を含む採点要求を入力すると、正解と照合して採点し、学習要素毎の正答率を計算して要求元に送信したりする。 In FIG. 1, reference numeral 10 denotes a pretest server, of which 11 is a pretest information storage unit that stores a number of pretests and correct answers for examining the learner's current English proficiency. , Learning element B j (j = 1, 2,... Here, for example, grammar is B 1 , vocabulary is B 2 , weak sound in listening, plosives, liaisons (concatenation), disappearing sounds, abbreviations are B 3 to B 7 ,...), And the correct answer rate p j for each learning element of the learner can be calculated. Here, the correct answer rate p j is represented by a numerical value that is 1 when the answer is 100% (0 ≦ p j ≦ 1). Reference numeral 12 denotes a program storage unit that stores a program for controlling the operation of the pretest server 10, reference numeral 13 denotes an input / output unit that inputs and outputs data and instructions to and from the outside, and reference numeral 14 denotes a processing unit. When a pretest call request is input from the outside via the input / output unit 13 based on the program stored in the program, it is read from the pretest information storage unit 11 and transmitted to the request source via the input / output unit 13 or externally. When a scoring request including a pretest answer is input from, a score is compared with the correct answer, and a correct answer rate for each learning element is calculated and transmitted to the request source.

20は教材学習スケジュール決定用サーバであり、この内、21は英語試験Zの過去の全ての試験または最近の或る年数分(10年間分とか、5年間分とか)の試験で出題された問題について、予め教師側で分析した、学習要素Bj 毎の問題出題率rj を記憶した問題出題率情報記憶部であり、ここでは問題出題率rj は100%のとき1となる数値で表すものとする(0≦rj ≦1)。具体的には、過去試験での学習要素Bj の出題数をEj 、j=1、2、・・、Gとすると、問題出題率rj は、
j =Ej /(E1 +E2 +・・+EG
で計算してある。
22は教師側で予め用意した多数の各々1コマ分(T時間分)の英語の教材Si (i=1、2、・・)と、各教材別に、予め教師側で分析した、教材Si を一回学習したときの学習要素Bj 毎の学習効果度vijを記憶した教材情報記憶部である。ここでは学習効果度vijは、高いほど大きくなる正の数値に数値化されているものとする。また教材Si の数は15より遥かに多いものとする。
20 is a server for determining teaching material learning schedules, and 21 of these are questions that have been given in all past exams of the English language test Z or in recent years (10 years or 5 years). Is a question assignment rate information storage unit that stores the question assignment rate r j for each learning element B j analyzed in advance by the teacher side. Here, the question assignment rate r j is expressed by a numerical value that is 1 when the question assignment rate r j is 100%. Assume that 0 ≦ r j ≦ 1. Specifically, E j the number of questions of the learning elements B j of the last test, j = 1,2, ··, when is G, the Question presentation rate r j,
r j = E j / (E 1 + E 2 + ·· + E G )
It is calculated by.
22 are a large number of English teaching materials S i (i = 1, 2,...) Prepared for each teacher (T = 1), and teaching materials S analyzed in advance for each teaching material. This is a learning material information storage unit that stores a learning effect level v ij for each learning element B j when i is learned once. Here, it is assumed that the learning effect level v ij is quantified as a positive value that increases as the learning effect level increases. It is assumed that the number of teaching materials S i is much larger than 15.

英語試験Zの対策としては経験的に、学習者が苦手な学習要素であってかつ問題出題率の高い学習要素についての学習効果度の高い教材を優先的に選択して学習するのが成績向上に有効である。学習要素Bj の誤答率(1−pj )、英語試験Zでの学習要素Bj の問題出題率rj 、教材Si の学習要素Bj の学習効果度vijの積(=D)を考えたとき、多数の教材の中から任意の組み合わせで15コマ分の学習候補の教材を選択したときのDが最大となる組み合わせを学習するのが効果的である。
このような組み合わせは、教材Si を学習するか否かを変数xi で表し(xi の値が1となった教材Si を学習)、数理計画法の一つである混合整数計画法を用いて、
目標関数
Maximize Σi Σj (1−pj )・rj ・vij・xi ・・・(1)
制約条件式
Subject to Σi i = 15 ・・・(2)
i ∈ {0,1},∀i ・・・(3)
のように定式化して解くことで、探索できる。
As a measure of the English test Z, it is empirically selected that learning materials with high learning effectiveness for learning elements that are not good for learners and have high problem-answering ratios are used to improve results. It is effective for. Error rate of the learning elements B j (1-p j) , Question presentation rate r j of the learning elements B j in English test Z, the learning effect of v ij of learning elements B j of materials S i product (= D ), It is effective to learn the combination that maximizes D when 15 candidate learning materials for 15 frames are selected from any number of learning materials.
Such a combination expresses whether or not the learning material S i is to be learned by a variable x i (learns the learning material S i whose value of x i is 1), and is a mixed integer programming method which is one of mathematical programming methods. Using,
Goal function
Maximize Σ i Σ j (1-p j ) · r j · v ij · x i (1)
Constraint expression
Subject to Σ i x i = 15 (2)
x i ∈ {0,1}, ∀i (3)
It can be searched by formulating and solving as follows.

但し、(1)乃至(3)に基づく数理計画法では、15コマ分の教材は抽出できるものの、1コマ目から15コマ目までの各学習コマ順位において、どの教材を学習するのが良いかまでは求められない。
ここで多数の教材S1 、S2 、・・の中には、基礎的である、語彙レベルが低く判りやすい、文法問題が少ないなど、15コマの内、最初の方の学習コマ順位で学習した方が、後から学習する教材の理解に有利なものがある。この点を考慮し、この実施例では、以下に述べるように、教材の学習コマ順位にも着目し、学習者の試験対策に最適な教材の組み合わせを順序付きで決定可能とする構成を備えている。
However, in the mathematical programming method based on (1) to (3), the teaching materials for 15 frames can be extracted, but which learning material should be learned in each learning frame ranking from the first frame to the 15th frame. It is not required until.
Among the many teaching materials S 1 , S 2 ,..., The basic learning, low vocabulary level, easy understanding, few grammatical problems, etc. If you do this, there are things that are advantageous for understanding the learning materials that you will learn later. Considering this point, as described below, this embodiment pays attention to the learning frame ranking of teaching materials, and has a configuration that can determine the optimal combination of teaching materials for the learner's examination measures in order. Yes.

23は教材別、学習コマ順位k(k=1〜15)別に、予め教師側で分析して定めた順序付け用指数wikの情報を記憶した順序付け用指数情報記憶部である。順序付け用指数wikは、多数の教材S1 、S2 ・・中から学習対象の仮候補とされた15個の教材について外部の英語試験Zの成績向上に最も有効な学習コマ順序を決定するために用いられる。順序付け用指数wikは、ここでは同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が小さくなり、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きくなるように定めてある。 An ordering index information storage unit 23 stores information on the ordering index w ik determined in advance by the teacher for each learning material and for each learning frame rank k (k = 1 to 15). The ordering index w ik determines the most effective learning frame order for improving the grade of the external English test Z for 15 teaching materials that are candidates for learning from among a large number of teaching materials S 1 , S 2. Used for. The ordering index w ik is smaller here for the teaching materials that are advantageous in learning in the first rank between different learning materials in the same learning frame ranking, and the index increases as the ranking decreases in different learning frame rankings in the same learning material. It is determined as follows.

この順序付け用指数wikは、例えば教材の難易度(難易度は例えば教材の語彙レベルとすることができる)を指標に定めることができる。これは、学習対象の候補とされる複数の教材の難易度が異なっている場合、経験的に、より難易度の低い教材を先に学習し、より難易度の高い教材を後で学習するのが学力向上に効果的であるからである。順序付け用指数wikは同じ学習コマ順位で異なる教材間では難易度が低いほど指数が小さく、同じ教材では学習コマ順位が下がるほど指数が大きくなるように定めておけば良い。 This ordering index w ik can be determined by using, for example, the difficulty level of the teaching material (the difficulty level can be set, for example, as the vocabulary level of the teaching material). This is because, when the difficulty level of multiple learning materials that are candidates for learning is different, it is empirically learned to learn less difficult materials first and later to learn more difficult materials. This is because it is effective in improving academic ability. The ordering index w ik may be set such that the lower the difficulty level between different learning materials in the same learning frame rank, the smaller the index, and the same learning material the larger the index as the learning frame ranking decreases.

説明の便宜上、仮に全コマ数N’=5とし、学習対象の仮候補とされる5個の教材s1'乃至s5'の組み合わせについて、各々の指数化した難易度m1'乃至m5' が、
1'=2.55 ・・・s1'
2'=2.80 ・・・s2'
3'=1.63 ・・・s3'
4'=1.49 ・・・s4'
5'=2.01 ・・・s5'
但し、数値が大きい程、難易度が高いことを示す
であったとすると、順序付け用指数wi'k'は例えば、図2(1)、(2)に示す如く設定しておく。図2ではwi'k'=k’・mi'(但し、k’=1,2,・・5、i’=1’、2’、・・5’)の関係に有るとした数値例を示す。
ここで、1コマ目に教材s1'を選択し、2コマ目に教材s3'を選択し、3コマ目に教材s5'を選択し、4コマ目に教材s2'を選択し、5コマ目に教材s4'を選択したとき、
U=w1'1'+w3'2'+w5'3'+w2'4'+w4'5'
とするようなUを考える。5つの教材s1'乃至s5'を重複せずに種々の順番で計5コマの学習に割り振るとき、Uが最大となる順番はs4'、s3'、s5'、s1'、s2'であり、難易度の低い順となっている。従って、5つの学習候補の教材s1' 乃至s5'があるとき、Uが最大となる順番が最も成績向上に良い順番である。因みにUが最小となる順番はS2'、S1'、S5'、S3'、S4'である。
For convenience of explanation, it is assumed that the total number of frames N ′ = 5, and the combinations of five teaching materials s 1 ′ to s 5 ′ that are tentative candidates for learning are indexed difficulty levels m 1 ′ to m 5. ' But
m 1 ′ = 2.55 ・ ・ ・ s 1 ′
m 2 ′ = 2.80 ・ ・ ・ s 2 ′
m 3 ′ = 1.63 ・ ・ ・ s 3 ′
m 4 ' = 1.49 ... s 4'
m 5 ′ = 2.01 ・ ・ ・ s 5 '
However, if the larger value indicates that the difficulty level is higher, the ordering index w i′k ′ is set as shown in FIGS. 2 (1) and 2 (2), for example. In FIG. 2, numerical values are assumed to have a relationship of w i′k ′ = k ′ · m i ′ (where k ′ = 1, 2,..., I ′ = 1 ′, 2 ′,... 5 ′). An example is shown.
Here, the learning material s 1 ′ is selected in the first frame, the learning material s 3 ′ is selected in the second frame, the learning material s 5 ′ is selected in the third frame, and the learning material s 2 ′ is selected in the fourth frame. When you select teaching material s 4 ' in frame 5,
U = w 1'1 ' + w 3'2' + w 5'3 ' + w 2'4' + w 4'5 '
Think of U like When five teaching materials s 1 ′ to s 5 ′ are allocated to learning of a total of five frames in various orders without overlapping, the order in which U becomes the maximum is s 4 ′ , s 3 ′ , s 5 ′ , s 1 ′. , S 2 ′ , and in descending order of difficulty. Therefore, when there are five learning candidate teaching materials s 1 ′ to s 5 ′ , the order in which U is the largest is the best order for improving the results. Incidentally, the order in which U becomes the minimum is S 2 ′ , S 1 ′ , S 5 ′ , S 3 ′ , S 4 ′ .

Uが最大となる順番は、k’コマ目に教材Si'を学習するか否かを変数xi'k'で表し(xi'k'=1のとき、教材Si'をk’コマ目に学習)、数理計画法を用いて、
目標関数
Maximize Σi'Σk'i'k'・xi'k' ・・・(4)
制約条件式
Subject to Σk'i'k' = 1 , ∀i’ ・・・(5)
i'k' ∈ {0,1},∀i’・・・(6)
のように定式化して解くことで、探索できる。
但し、本実施例では、後述するようにN=15コマ分の教材の選択と学習コマ順位の決定を一度に行うことができるように工夫している。
なお、ここでは、順序付け用指数情報記憶部23に記憶された情報は、教材別、学習コマ順位別の順序付け用指数wikの数値テーブルであるとする(図2(1)参照)。
The order in which U becomes the maximum is expressed by a variable x i′k ′ whether or not the learning material S i ′ is learned in the k ′ frame (when x i′k ′ = 1, the learning material S i ′ is represented by k ′. Learning on the top), using mathematical programming,
Goal function
Maximize Σ i ' Σ k' w i'k ' x i'k' (4)
Constraint expression
Subject to Σ k ' x i'k' = 1, ∀i '(5)
x i′k ′ ∈ {0, 1}, ∀i ′ (6)
It can be searched by formulating and solving as follows.
However, in the present embodiment, as will be described later, it is devised so that selection of teaching materials for N = 15 frames and determination of learning frame ranking can be performed at a time.
Here, it is assumed that the information stored in the ordering index information storage unit 23 is a numerical table of the ordering index wik for each teaching material and for each learning frame ranking (see FIG. 2 (1)).

24は数理計画法を用いて学習対象の教材の組み合わせを順序付きで探索するプログラム(数理最適化ソルバ(Gorobi)など。このプログラム中に目標関数、制約条件式などが設定されている)などを記憶したプログラム記憶部、25は外部との間でデータ・命令等を授受する入出力部であり、学習者が受けたプレテストの学習要素別の正答率を入力する入力手段として機能とする。26は処理部であり、プログラム記憶部24に記憶されたプログラムに基づき、外部から入出力部25を介して学習要素別の正答率を含む教材学習スケジュール決定要求を入力すると、問題出題率情報記憶部21、教材情報記憶部22、順序付け用指数情報記憶部23に記憶された各種情報を参照しながら最適化計画法を用いて、15コマ分の15個の英語の教材を順序付きで探索して決定し、要求元に送信する。   24 is a program that uses mathematical programming to search for a combination of learning materials in order (such as a mathematical optimization solver (Gorobi), in which a target function, constraint expression, etc. are set). The stored program storage unit 25 is an input / output unit that exchanges data and commands with the outside, and functions as an input means for inputting the correct answer rate for each learning element of the pretest received by the learner. Reference numeral 26 denotes a processing unit. When a teaching material learning schedule determination request including a correct answer rate for each learning element is input from the outside via the input / output unit 25 based on a program stored in the program storage unit 24, a question assignment rate information storage is performed. 15 English teaching materials for 15 frames are searched in order using the optimization planning method while referring to various information stored in the section 21, teaching material information storage section 22, and ordering index information storage section 23. Determined and sent to the requester.

30は学習者が使用する情報端末であり、プレテストを受けたり、15コマ分の学習対象の教材学習スケジュール決定を指示したり、教材学習スケジュールを確認したりする。この内、31はメニュー表示操作、プレテストの受験操作、教材学習スケジュール決定の指示操作等を行う操作部、32はメニュー画面、プレテスト受験画面、教材学習スケジュール表示画面等を表示する表示部、33はリスニング用の音声を出力するスピーカ、34は外部との間でデータ・命令等の授受を行う入出力部、35はメニュー表示、プレテストの呼び出し要求、プレテストの実行、教材学習スケジュール決定要求、教材学習スケジュール表示等を行うための各種プログラムを記憶したプログラム記憶部、36は処理部であり、プログラム記憶部35に記憶したプログラムに基づき、操作部31での操作に従いメニュー表示、プレテストの呼び出し要求、プレテスト、教材学習スケジュール決定要求、教材学習スケジュールの表示等の処理を実行する。
情報端末30と、プレテスト用サーバ10及び教材学習スケジュール決定用サーバ20はネットワーク(ローカルネットワーク、公衆ネットワークなど)を介して通信可能となっている。
Reference numeral 30 denotes an information terminal used by the learner, which receives a pretest, instructs the learning material learning schedule for 15 frames to be learned, and confirms the learning material learning schedule. Of these, 31 is an operation unit for performing menu display operation, pretest test operation, instruction operation for determining teaching material learning schedule, 32 is a display unit for displaying a menu screen, pretest test screen, teaching material learning schedule display screen, etc. 33 is a speaker for outputting listening sound, 34 is an input / output unit for exchanging data / commands with the outside, 35 is a menu display, pre-test call request, pre-test execution, teaching material learning schedule determination A program storage unit 36 for storing various programs for displaying requests, learning material learning schedules, etc., is a processing unit. Based on the program stored in the program storage unit 35, menu display and pretest are performed according to the operation in the operation unit 31. Call request, pretest, teaching material learning schedule decision request, teaching material learning schedule display To perform the processing.
The information terminal 30 can communicate with the pretest server 10 and the learning material learning schedule determination server 20 via a network (local network, public network, etc.).

次に、図3乃至図5を参照して上記した実施例の動作を説明する。図3は図1中の情報端末30の処理部36の動作を示すフローチャート、図4はプレテスト用サーバ10の処理部14の動作を示すフローチャート、図5は教材学習スケジュール決定用サーバ20の処理部26の動作を示すフローチャートである。なお、ここでは多数の教材S1 、S2 、・・の各々はいずれも予定学習時間がTであるとし、N=15コマ分の15個の教材を順序付きで決定するものとする。
(1)プレテスト
学習者が情報端末30の操作部31でメニュー表示操作をすると、処理部36はプログラム記憶部35に記憶されたプログラムに基づき表示部32に「プレテスト」、「教材学習スケジュール決定」、「教材学習スケジュール表示」のメニューを表示し(図3のステップF1)、「プレテスト」の選択操作をすると、処理部36は入出力部34を介してプレテスト呼び出し要求を外部のプレテスト用サーバ10に送信する(ステップF2でYES、F3)。入出力部13を介して該要求を入力した処理部14はプレテスト情報記憶部11からプレテストを読み出し、要求元に返信する(図4のステップF20でYES、F21)。
Next, the operation of the above embodiment will be described with reference to FIGS. 3 is a flowchart showing the operation of the processing unit 36 of the information terminal 30 in FIG. 1, FIG. 4 is a flowchart showing the operation of the processing unit 14 of the pretest server 10, and FIG. 5 is a process of the learning material learning schedule determination server 20 4 is a flowchart showing the operation of a unit 26. Here, it is assumed that each of a large number of teaching materials S 1 , S 2 ,... Has a planned learning time T, and 15 teaching materials for N = 15 frames are determined in order.
(1) Pretest When the learner performs a menu display operation on the operation unit 31 of the information terminal 30, the processing unit 36 displays “pretest” and “teaching material learning schedule” on the display unit 32 based on the program stored in the program storage unit 35. When the “determining” and “learning material learning schedule display” menus are displayed (step F1 in FIG. 3) and the “pretest” selection operation is performed, the processing unit 36 sends a pretest call request to an external device via the input / output unit 34. Transmit to the pretest server 10 (YES in step F2, F3). The processing unit 14 that has input the request via the input / output unit 13 reads the pretest from the pretest information storage unit 11 and returns it to the request source (YES in step F20 in FIG. 4, F21).

情報端末30の処理部36は入出力部34を介して入力したプレテストを内部の記憶部(図示せず)に記憶するとともに、表示部32、スピーカ33からプレテストの出力を行う(図3のステップF4、F5)。学習者はプレテストを解いて操作部31で解答を入力する。プレテストには、種々の学習要素Bj (j=1、2、・・・)の各々について多数の問題が含まれている。
プレテストの全問の解答入力が終わり学習者が終了操作をすると、処理部36は解答を含む採点要求を入出力部34を介してプレテスト用サーバ10に送信する(ステップF6でYES、F7)。該要求を入力したプレテスト用サーバ10の処理部14は解答をプレテスト情報記憶部11の正解と照合し、採点を行い学習要素Bj 毎の問題正答率pj を計算し、学習要素Bj の内容と対応する問題正答率pj を情報端末30へ返信する(図4のステップF22でYES、F23乃至F25)。
情報端末30の処理部36は入出力部34を介して入力した学習要素Bj 毎の問題正答率pj を記憶するとともに、表示部32に学習要素Bj の内容と問題正答率pj を対にして表示させる(図3のステップF8、F9)。これにより、学習者は現在の英語力を把握することができる。
The processing unit 36 of the information terminal 30 stores the pretest input via the input / output unit 34 in an internal storage unit (not shown) and outputs the pretest from the display unit 32 and the speaker 33 (FIG. 3). Steps F4 and F5). The learner solves the pretest and inputs an answer through the operation unit 31. The pretest includes a number of problems for each of the various learning elements B j (j = 1, 2,...).
When the answer input for all the questions in the pretest is completed and the learner performs an end operation, the processing unit 36 transmits a scoring request including the answer to the pretest server 10 via the input / output unit 34 (YES in step F6, F7) ). The processing unit 14 of the pretest server 10 that has input the request collates the answer with the correct answer in the pretest information storage unit 11, performs scoring, calculates the problem correct answer rate p j for each learning element B j , and learns element B The correct answer rate p j corresponding to the contents of j is returned to the information terminal 30 (YES in step F22 in FIG. 4, F23 to F25).
The processing unit 36 of the information terminal 30 stores the question correct answer rate p j for each learning element B j input via the input / output unit 34, and the contents of the learning element B j and the question correct answer rate p j are displayed on the display unit 32. A pair is displayed (steps F8 and F9 in FIG. 3). Thereby, the learner can grasp the current English ability.

(2)教材の決定
プレテストを受けた学習者がメニュー呼び出し操作をし、画面の「教材学習スケジュール決定」を選択すると(ステップF10でYES、F1、F11でYES)、処理部36はプレテストを実施済みなので、入出力部34を介して、学習要素Bj 毎の問題正答率pj を含む教材学習スケジュール決定要求を教材学習スケジュール決定用サーバ20へ送信する(ステップF12でYES、F13)。
入出力部25を介して該要求を入力した処理部26は、プログラム記憶部24に記憶された教材決定用プログラムに基づき、プレテストでの学習要素Bj 毎の問題正解率pj と、問題出題率情報記憶部21に記憶された英語試験Zの過去問題の学習要素Bj 毎の問題出題率rj と、教材情報記憶部22に記憶された各教材Si の学習要素Bj の学習効果度vijと、順序付け用指数情報記憶部23に記憶された順序付け用指数wikなどを用いて最適計画法により学習者が英語試験Zを受験したときに一番成績の上がる15個の教材の組み合わせを順序付きで探索し、決定する(図5のステップF30でYES、F31)。
(2) Determination of teaching materials When a learner who has received a pretest performs a menu call operation and selects “deciding learning material learning schedule” on the screen (YES in step F10, YES in F1 and F11), the processing unit 36 performs pretesting. Has been executed, a teaching material learning schedule determination request including the correct answer rate p j for each learning element B j is transmitted to the learning material learning schedule determination server 20 via the input / output unit 34 (YES in step F12, F13). .
Based on the teaching material determination program stored in the program storage unit 24, the processing unit 26 that has input the request via the input / output unit 25 determines the problem correct answer rate p j for each learning element B j in the pretest, and question presentation rate r j for each of the past problems learning elements B j of stored in the question index information storage unit 21 English test Z, learning of the learning elements B j of each materials S i stored in the learning material information storage section 22 15 teaching materials that achieve the best results when the learner takes the English test Z by the optimal programming method using the effectiveness v ij and the ordering index w ik stored in the ordering index information storage unit 23 Are searched in order and determined (YES in step F30 of FIG. 5, F31).

具体的には、kコマ目に教材Siを学習するか否かを変数xikで表し(xikが1のとき、教材Si をkコマ目に学習)、数理計画法を用いて、
目標関数
Maximize Σi Σj Σk (1−pj )・rj ・vij・xik
+α・Σi Σk ik・xik ・・・(7)
α:重み付け係数
制約条件式
Subject to Σk ik ≦ 1, ∀i ・・・(8)
Σi ik = 1, ∀k ・・・(9)
ik ∈ {0,1},∀i ・・・(10)
のように定式化して解くことで、15コマ分の教材を順序付きで探索する。なお、αはここでは正とする。αは(7)式の第1項の最大値を第2項の最大値が超えないように設定すれば良く、例えばα=0.0001などの小さい値でよい。
Specifically, the variable x ik represents whether or not the learning material Si is to be learned in the k-th frame (when x ik is 1, the learning material S i is learned in the k-th frame), and using mathematical programming,
Goal function
Maximize Σ i Σ j Σ k (1-p j ) ・ r j・ v ij・ x ik
+ Α · Σ i Σ k w ik · x ik (7)
α: Weighting factor constraint expression
Subject to Σ k x ik ≦ 1, ∀i (8)
Σ i x ik = 1, ∀k (9)
x ik ∈ {0,1}, ∀i (10)
By formulating and solving as follows, the teaching materials for 15 frames are searched in order. Α is positive here. α may be set so that the maximum value of the first term of equation (7) does not exceed the maximum value of the second term, and may be a small value such as α = 0.0001.

処理部26は今回、学習対象として決定した15コマ分の順序付きの教材の組み合わせ情報を教材学習スケジュールとして要求元に送信する。入出力部34を介して教材学習スケジュールを入力した情報端末30の処理部36は内蔵の記憶部に記憶するとともに、表示部32に1コマ目から15コマ目までに分けて教材学習スケジュールを表示する(図3のステップF14、F15)。これにより、学習者は15コマ分の教材学習スケジュールを順序付きで把握することができる。
教材学習スケジュール決定用サーバ20から受信した教材学習スケジュールはメニューから「教材学習スケジュール表示」を選択することで、いつでも表示させることができる(ステップF16とF17でYES、F18)。
At this time, the processing unit 26 transmits, to the request source, the learning material combination schedule with the order of the 15 frames determined as learning objects. The processing unit 36 of the information terminal 30 that has input the learning material learning schedule via the input / output unit 34 stores it in the built-in storage unit, and displays the learning material learning schedule on the display unit 32 from the first frame to the 15th frame. (Steps F14 and F15 in FIG. 3). Thereby, the learner can grasp the teaching material learning schedule for 15 frames with an order.
The learning material learning schedule received from the learning material learning schedule determination server 20 can be displayed at any time by selecting “Display learning material learning schedule” from the menu (YES in steps F16 and F17, F18).

この実施例によれば、学習者が受験予定の公的または民間の英語試験対策用の多数の教材S1 、S2 、・・があり、各々の学習予定時間がTであり、1コマの学習時間がTで15コマ分の教材を選択したい場合に、学習者の受験成績向上に最も適した15コマ分の教材と学習順序を決定可能となる。 According to this embodiment, there are a large number of teaching materials S 1 , S 2 ,... For public or private English test preparations that the learner plans to take, each of which is scheduled to be T, If the learning time is T and it is desired to select teaching materials for 15 frames, it is possible to determine the teaching materials for 15 frames and the learning order most suitable for improving the student's examination results.

なお、上記した実施例では学習コマ数Nを15とした例を挙げて説明したが、15に限定されるものではない。また、プレテスト用サーバ10は学習要素毎の正答率pjを計算して情報端末30に返信するようにしたが、誤答率(1−pj )を計算して情報端末30に返信するようにして、情報端末30では学習要素Bj 毎の内容と誤答率(1−pj )を対にして画面表示したり、情報端末30から教材学習スケジュール決定要求を教材学習スケジュール決定用サーバ20に送信する際、学習要素Bj毎の誤答率(1−pj )を含めるようにしても良い。 In the above-described embodiment, an example in which the number of learning frames N is 15 has been described. However, the number is not limited to 15. In addition, the pretest server 10 calculates the correct answer rate pj for each learning element and sends it back to the information terminal 30, but calculates the error rate (1-p j ) and sends it back to the information terminal 30. Thus, the information terminal 30 displays a screen with the content of each learning element B j and the error rate (1-p j ) as a pair, or sends a learning material learning schedule determination request from the information terminal 30 to the learning material learning schedule determination server 20. , The error rate (1-p j ) for each learning element Bj may be included.

また、どの教材も予定学習時間がTである場合について説明したが、若し、各教材Si の予定学習時間ti がTより短かいものとか、長いものとかも混在している場合、1コマ分の学習時間Tで複数の教材を学習可能な場合もある。この場合は、予め、教材情報記憶部に各教材Si の予定学習時間ti も記憶しておき、教材Si をkコマ目で学習するか否かを変数xikで表し(xikの値が1となった教材Si をkコマ目で学習)、数理計画法を用いて、
目標関数
Maximize Σi Σj Σk (1−pj )・rj ・vij・xik
+α・Σi Σk ik・xik ・・・(11)
α:重み付け係数
制約条件式
Subject to Σk ik ≦ 1 ,∀i ・・・(12)
Σi i ik ≦ T ,∀k ・・・(13)
i ∈ {0,1},∀i ・・・(14)
のように定式化し、1コマに複数の教材が選択される場合も許容しながら、Nコマ分の学習対象教材を順序付きで決定することができる。ここではαは正とする。なお、1つのコマに対し複数の教材が選択されたときの当該コマ内での学習順序は問わないものとする。
In addition, if any teaching materials is also scheduled learning time the case has been described where a T, Wakashi, the Toka short shopping than planned learning time t i is T of each teaching materials S i, are also mixed Toka long, 1 In some cases, a plurality of learning materials can be learned with a learning time T corresponding to a frame. In this case, the scheduled learning time t i of each learning material S i is also stored in the learning material information storage unit in advance, and whether or not the learning material S i is learned at the k-th frame is represented by a variable x ik (of x ik learning teaching materials S i the value becomes 1 in the k th frame), using a mathematical programming method,
Goal function
Maximize Σ i Σ j Σ k (1-p j ) ・ r j・ v ij・ x ik
+ Α · Σ i Σ k w ik · x ik (11)
α: Weighting factor constraint expression
Subject to Σ k x ik ≦ 1, ∀i (12)
Σ i t i x ik ≦ T , ∀k ··· (13)
x i ∈ {0,1}, ∀i (14)
The learning target teaching materials for N frames can be determined with an order, while allowing a plurality of teaching materials to be selected for one frame. Here, α is positive. It should be noted that the learning order within a frame when a plurality of teaching materials are selected for one frame is not limited.

また、上記した実施例及び変形例では順序付け用指数wikは、同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が小さくなり、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きくなるように設定したが、逆に、同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が大きくなり、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が小さくなるように設定しても良い。
これと異なり(7)式、(11)式のαを負の係数とし、第1項と第2項の重み付け減算を行うときは、同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が小さくなり、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が小さくなるるように設定するか、または、同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が大きくなり、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きくなるように設定しても良い。
Further, in the above-described embodiments and modifications, the ordering index w ik is smaller in the learning material that is advantageous in learning in the first order between different learning materials in the same learning frame ranking, and between different learning frame rankings in the same learning material. The index was set to increase as the ranking decreased, but conversely, between the different learning materials with the same learning frame ranking, the learning material with the advantage of learning in the previous ranking increased, and between the different learning frame rankings with the same learning material You may set so that an index may become small, so that a rank falls.
On the other hand, when α in Equations (7) and (11) is a negative coefficient and weighted subtraction of the first term and the second term is performed, learning in the previous order is performed between different learning materials with the same learning frame order. Set the index so that the index becomes smaller as the teaching material is advantageous and the index decreases as the ranking decreases between different learning frames in the same teaching material, or learning in the previous ranking is performed between different teaching materials in the same learning frame ranking. An advantageous teaching material may be set such that the index increases and the index increases as the ranking decreases between different learning frame rankings in the same teaching material.

また、上記した実施例及び変形例では、式(7)または式(11)の第1項では、全ての種類の学習要素を加算するようにしたが、次の英語試験Zで出題されない1または複数の学習要素が事前に判っている場合など、教師側が教材学習スケジュール決定用サーバ20の操作部(図示せず)により、第1項で加算する学習要素の種類を任意に設定可能としておき、処理部26は情報端末30からの教材学習スケジュール決定要求を受けて数理計画法によりNコマ分の最適な教材の組み合わせを順序付きで探索する際、(7)式または(11)式の第1項で加算する学習要素の種類を教師により設定された範囲に限定するようにしても良い。
或いは、学習者が情報端末30によるメニュー選択で「教材学習スケジュール決定」を選択すると、処理部36が学習要素の種類を設定するサブメニューを表示することで、学習者が所望の学習要素の種類を任意に設定可能としておき、学習者が操作部31により所望の学習要素の種類を設定したのち教材学習スケジュール決定要求操作を行うと、処理部36が学習者の設定した学習要素の種類を含めた教材学習スケジュール決定要求を教材学習スケジュール決定用サーバ20に送信し、当該要求を受けた処理部26は数理計画法によりNコマ分の最適な教材の組み合わせを順序付きで探索する際、(7)式または(11)式の第1項で加算する学習要素の種類を学習者により設定された範囲に限定するようにしても良い。
Further, in the above-described embodiments and modifications, all kinds of learning elements are added in the first term of the formula (7) or the formula (11). In the case where a plurality of learning elements are known in advance, the teacher side can arbitrarily set the type of learning element to be added in the first term by the operation unit (not shown) of the learning material learning schedule determination server 20, When the processing unit 26 receives the teaching material learning schedule determination request from the information terminal 30 and searches for an optimal teaching material combination for N frames by mathematical programming, the first of the equations (7) or (11) is used. You may make it limit the kind of learning element added by a term to the range set by the teacher.
Alternatively, when the learner selects “study material learning schedule determination” by menu selection by the information terminal 30, the processing unit 36 displays a submenu for setting the type of learning element, so that the learner can select the type of learning element desired. If the learner sets a desired learning element type by the operation unit 31 and then performs a teaching material learning schedule determination request operation, the processing unit 36 includes the learning element type set by the learner. The learning unit learning schedule determination request is transmitted to the learning material learning schedule determination server 20, and the processing unit 26 having received the request searches for an optimal combination of teaching materials for N frames in order by mathematical programming (7). ) Or the type of learning element added in the first term of equation (11) may be limited to the range set by the learner.

また、上記した実施例及び変形例では、教材の難易度を指標にして順序付け用指数を定めた場合につき説明したが、本発明は何らこれに限定されず、例えば学習要素の1つである文法が難しく無い方が教材理解が容易であり、文法の学習効果度が高い教材を後回しにして学習するのが英語試験Zの対策に有効であると考えられることから、各教材の文法の学習効果度(vi1)を指標にして順序付け用指数を定めても良い。
具体的には、順序付け用指数wikは目標関数の重み付け係数αが正の場合、同じ学習コマ順位で異なる教材間では文法の学習効果度が小さい教材ほど指数が小さくなり、同じ教材では学習順位が下がるほど指数が大きくなるように定めるか、または、同じ学習コマ順位で異なる教材間では文法の学習効果度が小さい教材ほど指数が大きくなり、同じ教材では学習順位が下がるほど指数が小さくなるように定める。αが負の場合、同じ学習コマ順位で異なる教材間では文法の学習効果度が小さい教材ほど指数が小さくなり、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が小さくなるように定めるか、または、同じ学習コマ順位で異なる教材間では文法の学習効果度が小さい教材ほど指数が大きくなり、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きくなるように定める。
In the above-described embodiments and modifications, the case where the ordering index is determined using the difficulty level of the teaching material as an index has been described. However, the present invention is not limited to this, and for example, a grammar that is one of learning elements. If you are not difficult, it is easier to understand the teaching materials, and it is considered effective to take the learning materials that have a high grammatical learning effect later as a measure for the English test Z. The ordering index may be determined using the degree (v i1 ) as an index.
Specifically, when the weighting coefficient α of the target function is positive, the ordering index w ik has a smaller index as the learning effect of the grammar less effective between the different learning materials in the same learning frame order, and the learning order in the same learning material Decrease the index so that the index becomes larger, or between the different learning materials in the same learning frame order, the lesser the learning effect of the grammar, the larger the index, the lower the learning rank in the same teaching material, the index becomes smaller Stipulated in Whether α is negative, the lesser the grammar learning effectiveness between different learning materials in the same learning frame ranking, the smaller the index, and the lower the ranking between different learning frame rankings in the same learning material, the smaller the index? Alternatively, the index is set such that the lesser the grammatical learning effect level between different learning materials in the same learning frame ranking, the higher the index, and the lower the ranking between different learning frame rankings in the same learning material, the larger the index.

また、優先的に学習するのが有利な複数種の学習要素Bj1、Bj2、・・がある場合には、複数種の学習要素の学習効果度の和(vij1 +vij2 +・・)を指標にし、順序付け用指数wikは目標関数の重み付け係数αが正の場合、同じ学習コマ順位で異なる教材間では複数種の学習要素の学習効果度の和が大きい教材ほど指数が小さくなり、同じ教材では学習順位が下がるほど指数が大きくなるように定めるか、または、同じ学習コマ順位で異なる教材間では複数種の学習要素の学習効果度の和が大きい教材ほど指数が大きくなり、同じ教材では学習順位が下がるほど指数が小さくなるように定めるようにしても良い。αが負の場合、同じ学習コマ順位で異なる教材間では複数種の学習要素の学習効果度の和が大きい教材ほど指数が小さくなり、同じ教材では学習順位が下がるほど指数が小さくなるように定めるか、または、同じ学習コマ順位で異なる教材間では複数種の学習要素の学習効果度の和が大きい教材ほど指数が大きくなり、同じ教材では学習順位が下がるほど指数が大きくなるように定める。 Further, when there are a plurality of types of learning elements B j1 , B j2 ,... That are advantageous to learn preferentially, the sum of the learning effect levels of the plurality of types of learning elements (v ij1 + v ij2 + .. ) As an index, the ordering index w ik is positive when the weighting coefficient α of the objective function is positive, and the teaching material having a larger sum of the learning effectiveness of multiple types of learning elements between the different learning materials in the same learning frame ranking is smaller, Set the index so that the lower the learning order for the same material, or the higher the index, the more the learning effect of the multiple learning elements between the different learning materials in the same learning frame order, the larger the index. Then, it may be determined so that the index decreases as the learning order decreases. When α is negative, the index is set so that the index becomes smaller as the sum of the learning effectiveness of multiple types of learning elements becomes larger between different learning materials in the same learning frame order, and the index decreases as the learning order decreases in the same learning material. Alternatively, between the different learning materials in the same learning frame ranking, the learning material having a larger sum of the learning effect levels of a plurality of types of learning elements has a larger index, and the same learning material has a larger index as the learning order decreases.

また、後回しにして学習するのが有利な複数種の学習要素Bj1、Bj2、・・がある場合には、複数種の学習要素の学習効果度の和(vij1 +vij2 +・・)を指標にし、順序付け用指数wikは目標関数の重み付け係数αが正の場合、同じ学習コマ順位で異なる教材間では複数種の学習要素の学習効果度の和が小さい教材ほど指数が小さくなり、同じ教材では学習順位が下がるほど指数が大きくなるように定めるか、または、同じ学習コマ順位で異なる教材間では複数種の学習要素の学習効果度の和が小さい教材ほど指数が大きくなり、同じ教材では学習順位が下がるほど指数が小さくなるように定めても良い。αが負の場合、同じ学習コマ順位で異なる教材間では複数種の学習要素の学習効果度の和が小さい教材ほど指数が小さくなり、同じ教材では学習順位が下がるほど指数が小さくなるように定めるか、または、同じ学習コマ順位で異なる教材間では複数種の学習要素の学習効果度の和が小さい教材ほど指数が大きくなり、同じ教材では学習順位が下がるほど指数が大きくなるように定めれば良い。 In addition, when there are a plurality of types of learning elements B j1 , B j2 ,... That are advantageous to learn later, the sum of the learning effect levels of the plurality of types of learning elements (v ij1 + v ij2 + .. ) If the weighting coefficient α of the target function is positive, the ordering index w ik has a smaller index between the different learning materials with the same learning frame rank and the smaller the learning effect level of the multiple learning elements, Set the index so that the lower the learning rank for the same learning material, or the smaller the learning effect level of the multiple learning elements between the different learning materials in the same learning frame ranking, the higher the index, and the same learning material Then, it may be determined so that the index decreases as the learning rank decreases. When α is negative, the index is set to be smaller for different learning materials with the same learning frame ranking, with a smaller learning effect sum of multiple types of learning elements, and with the same learning material the lower the learning ranking, the smaller the index. Or, between different learning materials with the same learning frame order, the index becomes larger as the learning effect of the learning elements of the plurality of learning elements is smaller, and the index becomes larger as the learning order decreases in the same learning material. good.

また、図1の順序付け用指数情報記憶部23には、図2(1)の如く二次元の数値テーブルで定義した順序付け用指数自体を記憶した場合を例に挙げて説明したが、例えば難易度を指標とする場合は、順序付け用指数情報記憶部23には教材Si 別の難易度レベルmi と、難易度レベルmi から順序付け用指数wikを求めるためのwik=k・mi (k=1、2、・・)という数式とを記憶するようにしても良い(αが正の場合)。
この場合、処理部26は、教材学習スケジュールの探索に用いる目標関数の(7)、(11)式を、
Maximize Σi Σj Σk (1−pj )・rj ・vij・xik
+α・Σi Σk k・mi ・xik ・・・(15)
α:重み付け係数。
として探索を行うことができる。
αが負の場合は、例えばwij=mi /kという数式に置き換えれば良い。
Further, the ordering index information storage unit 23 in FIG. 1 has been described by taking as an example the case where the ordering index itself defined by the two-dimensional numerical table as shown in FIG. 2 (1) is stored. If the index is, the materials S i different difficulty levels m i is the ordering for the index information storage unit 23, for determining the index w ik for ordering from difficulty levels m i w ik = k · m i (K = 1, 2,...) May be stored (when α is positive).
In this case, the processing unit 26 obtains the equations (7) and (11) of the target function used for searching the learning material learning schedule,
Maximize Σ i Σ j Σ k (1-p j ) ・ r j・ v ij・ x ik
+ Α · Σ i Σ k k · m i · x ik (15)
α: Weighting coefficient.
The search can be performed as
If α is negative, it can be replaced with, for example, a mathematical formula of w ij = m i / k.

また、後順位で学習するのが有利な特定の学習要素Bj の学習効果度vijを指標とする場合は、αが正の場合、wik=k・vij、αが負の場合、wik=vij/kという数式を記憶しておくようにしても良い。更に、後順位で学習するのが有利な特定の複数の学習要素Bj1、Bj2・・の学習効果度の和(vij1 +vij2 +・・)を指標とする場合は、αが正の場合、wik=k・(vij1 +vij2 +・・)、αが負の場合、wik=(vij1 +vij2 +・・)/kという数式を記憶しておくようにしても良い。 In addition, when the learning effect level v ij of a specific learning element B j that is advantageous to learn in the subsequent order is used as an index, when α is positive, w ik = k · v ij , and α is negative, A mathematical formula of w ik = v ij / k may be stored. Furthermore, when the sum of learning effect levels (v ij1 + v ij2 +...) Of a plurality of specific learning elements B j1 , B j2 . In this case, w ik = k · (v ij1 + v ij2 + ··), and when α is negative, a mathematical formula of w ik = (v ij1 + v ij2 + ··) / k may be stored.

また、学習者が都合で全コマ数を学習できない場合があるので、情報端末30に表示されたメニューから「教材学習スケジュール決定」を選択したとき、処理部36が学習コマ数を設定するサブメニューを表示することで、操作部31の操作で学習者が所望の学習コマ数を任意に設定可能としておき、学習者が操作部31により所望の学習コマ数を設定したのち教材学習スケジュール決定要求操作を行うと、処理部36が学習コマ数を含む教材学習スケジュール決定要求を教材学習スケジュール決定用サーバ20に送信し、処理部26は数理計画法により学習者の設定したコマ数分の最適な教材の組み合わせを順序付きで探索するようにしても良い。   In addition, since the learner may not be able to learn the total number of frames due to circumstances, the sub-menu in which the processing unit 36 sets the number of learning frames when “determine learning material learning schedule” is selected from the menu displayed on the information terminal 30. , The learner can arbitrarily set the desired number of learning frames by operating the operation unit 31, and after the learner sets the desired number of learning frames by the operation unit 31, the learning material learning schedule determination request operation Then, the processing unit 36 transmits a learning material learning schedule determination request including the number of learning frames to the learning material learning schedule determination server 20, and the processing unit 26 uses the mathematical programming method to determine the optimal teaching materials for the number of frames set by the learner. The combinations may be searched in order.

また、上記した実施例及び変形例では公的または民間の英語試験を例に挙げて説明したが、何ら英語試験に限定されず、ドイツ語やフランス語など他の外国語試験、大学入試や入社試験等での数学、物理等の科目、各種資格試験を対象として良いのは勿論である。
例えば、数学の試験対策の場合、学習要素として関数、図形、微分、積分、確率、統計などがあるが、関数を先順位で学習するのが試験対策に有利なので、各教材の関数の学習効果度を指標にして順序用指数を定めても良い。具体的には、順序付け用指数は目標関数の重み付け係数αが正の場合、同じ学習コマ順位で異なる教材間では関数の学習効果度が大きい教材ほど指数が小さくなり、同じ教材では学習順位が下がるほど指数が大きくなるように定めるか、または、同じ学習コマ順位で異なる教材間では関数の学習効果度が大きい教材ほど指数が大きくなり、同じ教材では学習順位が下がるほど指数が小さくなるように定めるようにすれば良い。αが負の場合、同じ学習コマ順位で異なる教材間では関数の学習効果度が大きい教材ほど指数が小さくなり、同じ教材では学習順位が下がるほど指数が小さくなるように定めるか、または、同じ学習コマ順位で異なる教材間では関数の学習要素の学習効果度が大きい教材ほど指数が大きく、同じ教材では学習順位が下がるほど指数が大きくなるように定めれば良い。
Moreover, in the above-mentioned examples and modifications, public or private English exams have been described as examples, but they are not limited to English exams, other foreign language exams such as German and French, university entrance exams and entrance exams Of course, subjects such as mathematics, physics, etc., and various qualification exams may be targeted.
For example, in the case of mathematics test preparation, there are functions, figures, differentiation, integration, probability, statistics, etc. as learning elements, but learning the function in the first order is advantageous for test preparation, so the learning effect of the function of each teaching material The order index may be determined using the degree as an index. Specifically, when the weighting coefficient α of the target function is positive, the index for ordering has a smaller index as the learning effect of the function increases between different learning materials with the same learning frame rank, and the learning rank decreases with the same learning material. Set the index so that the index increases, or between different teaching materials in the same learning frame order, the index increases as the learning effect of the function increases and the index decreases as the learning rank decreases in the same teaching material You can do that. If α is negative, set the index so that the index of the learning material with the higher learning effect of the function between the different learning materials in the same learning frame rank becomes smaller, and the index decreases as the learning rank decreases with the same learning material. It is only necessary to determine that an index with a learning effect of a function learning element having a larger learning effect is larger between teaching materials having different frame ranks, and that the index increases with a decrease in the learning order with the same learning material.

或いは、統計を後順位で学習するのが試験対策に有利なので、各教材の統計の学習効果度を指標にして順序用指数を定めても良い。具体的には、順序付け用指数は、目標関数の重み付け係数αが正の場合、同じ学習コマ順位で異なる教材間では統計の学習効果度が小さいほど指数が小さくなり、同じ教材では学習順位が下がるほど大きくなるように定めるか、または、同じ学習コマ順位で異なる教材間では統計の学習効果度が小さいほど指数が大きくなり、同じ教材では学習順位が下がるほど小さくなるように定めれば良い。αが負の場合、同じ学習コマ順位で異なる教材間では統計の学習効果度が小さい教材ほど指数が小さくなり、同じ教材では学習順位が下がるほど小さくなるように定めるか、または、同じ学習コマ順位で異なる教材間では統計の学習効果度が小さい教材ほど指数が大きくなり、同じ教材では学習順位が下がるほど大きくなるように定めればよい。   Alternatively, since it is advantageous for the examination measures to learn the statistics in the rear rank, the order index may be determined using the learning effect of the statistics of each teaching material as an index. Specifically, when the weighting coefficient α of the objective function is positive, the index for ordering becomes smaller as the learning effect of statistics is smaller between different learning materials with the same learning frame ranking, and the learning ranking decreases with the same learning material. It may be determined so that the index increases as the learning effect level of statistics decreases between different learning materials with the same learning frame ranking, or decreases as the learning ranking decreases with the same learning material. If α is negative, set the index so that the lesser the learning effectiveness of the statistics, the smaller the index between the different learning materials in the same learning frame ranking, the smaller the learning ranking in the same learning material, or the same learning frame ranking Therefore, it is possible to set the index so that the lesser the learning effect of statistics is, the higher the index is between different teaching materials, and the larger the learning order is, the lower the learning order is.

また、上記した実施例及び変形例では順序付け用指数wikは予め定められている場合を例に挙げて説明したが、学習者が優先的な学習コマ順位で学習したい学習要素が有る場合に対応した教材学習スケジュール決定システムに変更することもできる。
具体的には、図1を図6に示す如く変更し、教材学習スケジュール決定用サーバ20Aの順序付け指数情報記憶部23Aには、学習者が任意に指定した学習要素Bj に対応する各教材Si の学習効果度vijを、教材別、N個の学習コマの中での学習コマ順位別に、目標関数の重み付け係数αが正の場合、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど指数が大きく、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が小さくなる順序付け用指数wikに変換する数式、例えばwik=vij/k(k=1、2、・・)を記憶しておく(αが負の場合、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど指数が大きく、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きくなる順序付け用指数wikに変換する数式、例えばwik=k・vij(k=1、2、・・)を記憶しておく)。
Further, in the above-described embodiments and modifications, the ordering index w ik has been described as an example, but it corresponds to the case where there is a learning element that the learner wants to learn in the preferential learning frame ranking. It is also possible to change to a learning material learning schedule determination system.
Specifically, FIG. 1 is changed as shown in FIG. 6, and each learning material S j corresponding to the learning element B j arbitrarily designated by the learner is stored in the ordering index information storage unit 23A of the learning material learning schedule determination server 20A. If the learning effect level v ij of i is determined by the learning material and the learning frame rank among the N learning frames, and the weighting coefficient α of the target function is positive, the learning effect level is different between different learning materials in the same learning frame rank. The larger the index is, the larger the index is, and the lower the ranking is, the lower the index is between the different learning frame rankings in the same teaching material. The formula is converted into an ordering index w ik , for example, w ik = v ij / k (k = 1, 2,... (If α is negative, the index increases as the learning effect increases between different learning materials in the same learning frame ranking, and the index increases as the ranking decreases between different learning frame rankings in the same learning material ranking) For index w ik Formula to be converted, for example, w ik = k · v ij (k = 1, 2,...) Is stored).

学習者が情報端末30Aによるメニュー選択で「教材学習スケジュール決定」を選択すると、処理部36Aが優先的な学習コマ順位で学習したい学習要素の種類を指定するサブメニューを表示することにより、操作部31の操作で学習者が所望の学習要素BJ の種類を指定したのち教材学習スケジュール決定要求操作を行うと、処理部36が指定された学習要素BJ の種類を含む教材学習スケジュール決定要求を教材学習スケジュール決定用サーバ20Aに送信し、当該要求を受けた処理部26Aは数理計画法によりNコマ分の最適な教材の組み合わせを順序付きで探索する際、教材情報記憶部22と順序付け指数情報記憶部23Aを参照して、各教材Si の学習要素BJ の学習効果度viJをkで徐した順序付け用指数wik(αが正の場合)、または学習効果度viJにkを乗した順序付け用指数wik (αが負の場合)を用いて、(7)式または(11)式の計算を行う。これにより、Nコマ分の教材の組み合わせが、学習要素BJ の学習効果度の高い順に順序付けられる。 When the learner selects “determine learning material learning schedule” by menu selection by the information terminal 30A, the processing unit 36A displays a submenu for designating the type of learning element to be learned in the preferential learning frame order, thereby operating the operation unit When the learner designates a desired learning element B J type in the operation 31 and then performs a learning material learning schedule determination request operation, the processing unit 36 issues a learning material learning schedule determination request including the designated learning element B J type. The processing unit 26A, which is transmitted to the learning material learning schedule determination server 20A and receives the request, searches for the optimal combination of teaching materials for N frames by mathematical programming, with the teaching material information storage unit 22 and the ordering index information. by referring to the storage unit 23A, the learning elements (if α is positive) B J learning degree v iJ Xu and ordering for index at k w ik of each materials S i, Others with learning degree v iJ ordering for index was multiplied by k to w ik (if α is negative), the equation (7) or (11) of the calculation. Thereby, the combinations of the teaching materials for N frames are ordered in descending order of the learning effect level of the learning element B J.

図6の教材学習スケジュール決定用サーバ20Aの順序付け指数情報記憶部23Aに、学習者が任意に指定した学習要素Bj に対応する各教材Si の学習効果度vijを順序付け用指数wikに変換する数式を記憶させる代わりに、図7に示す如く、学習要素毎に用意された複数の二次元の数値テーブルTBj (j=1、2、・・)を記憶しておき、学習要素Bj に対応するj番目のテーブルTBj には、学習要素Bj に対応する各教材Si の学習効果度vijを、教材別、N個の学習コマの中での学習コマ順位別に、目標関数の重み付け係数αが正の場合、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど指数が小さく、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きくなるように定めた順序付け用指数wik(αが負の場合、同じ学習コマ順位で異なる教材間では学習効果度が大きい教材ほど指数が大きくなり、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きくなるように定めた順序付け用指数wik)自体を記憶しておくようにしても良い。 The learning effect level v ij of each learning material S i corresponding to the learning element B j arbitrarily specified by the learner is stored in the ordering index w ik in the ordering index information storage unit 23A of the learning material learning schedule determination server 20A of FIG. Instead of storing the mathematical expression to be converted, a plurality of two-dimensional numerical tables TB j (j = 1, 2,...) Prepared for each learning element are stored as shown in FIG. In the j-th table TB j corresponding to j , the learning effect level v ij of each learning material S i corresponding to the learning element B j is set according to the learning frame ranking among the learning frames and the learning frame rank among the N learning frames. When the weighting coefficient α of the function is positive, the index is smaller as the learning effect level is larger between different learning materials in the same learning frame ranking, and the index is larger as the ranking decreases between different learning frame rankings in the same learning material. ordering for the index w ik (α is negative If, in between different materials with the same learning frame rank the greater the index larger materials are learning degree, the ordering for index w ik which defines as index higher rank decreases becomes large between different learning frame rank the same materials) You may make it memorize itself.

また、図6、図7の変形例においても、教師側が教材学習スケジュール決定用サーバ20Aの操作部(図示せず)により、第1項で加算する学習要素の種類を任意に設定可能としておき、処理部26Aは情報端末30Aからの教材学習スケジュール決定要求を受けて数理計画法によりNコマ分の最適な教材の組み合わせを順序付きで探索する際、(7)式または(11)式の第1項で加算する学習要素の種類を教師により設定された範囲に限定するようにしても良い。
或いは、学習者が情報端末30Aによるメニュー選択で「教材学習スケジュール決定」を選択したときのサブメニューで、学習者が優先的な学習コマ順位で学習したい学習要素の種類を指定可能とするのに加えて、(7)式または(11)式の第1項で加算する学習要素の範囲も任意に設定可能としておき、学習者が操作部31により、優先的な学習コマ順位で学習したい学習要素の種類を指定するとともに、(7)式または(11)式の第1項で加算する所望の学習要素の範囲も設定したのち教材学習スケジュール決定要求操作を行うと、処理部36Aが優先的な学習コマ順位で学習したい学習要素の種類と、(7)式または(11)式の第1項で加算する所望の学習要素の範囲とを含めた教材学習スケジュール決定要求を教材学習スケジュール決定用サーバ20Aに送信し、当該要求を受けた処理部26Aは数理計画法によりNコマ分の最適な教材の組み合わせを順序付きで探索する際、(7)式または(11)式の第1項で加算する学習要素の種類を学習者により設定された範囲に限定するようにしても良い。
Also, in the modified examples of FIGS. 6 and 7, the teacher can arbitrarily set the type of learning element to be added in the first term by the operation unit (not shown) of the learning material learning schedule determination server 20A. When the processing unit 26A receives the teaching material learning schedule determination request from the information terminal 30A and searches for the optimal combination of teaching materials for N frames by mathematical programming, the first of the equations (7) or (11) is used. You may make it limit the kind of learning element added by a term to the range set by the teacher.
Alternatively, in the submenu when the learner selects “determine learning material learning schedule” by menu selection by the information terminal 30A, the learner can specify the type of learning element that the learner wants to learn in the preferential learning frame order. In addition, the range of learning elements to be added in the first term of the expression (7) or (11) can be arbitrarily set, and the learning element that the learner wants to learn with the priority learning frame rank by the operation unit 31. When the teaching material learning schedule determination requesting operation is performed after setting the range of the desired learning element to be added in the first term of the expression (7) or (11), the processing unit 36A is given priority. A learning material learning schedule determination request including a learning element type to be learned in the learning frame order and a desired learning element range to be added in the first term of the expression (7) or (11) When the processing unit 26A receives the request and searches for the optimum combination of teaching materials for N frames by mathematical programming, the formula (7) or (11) The type of learning element added in the first term may be limited to a range set by the learner.

本発明は、英語などの語学の試験対策を初めとして大学入試や入社試験、資格試験等の種々の科目の試験対策に適用可能である。   The present invention can be applied to test preparations for various subjects such as university entrance examinations, entrance examinations, and qualification examinations, as well as language examination preparations such as English.

10 プレテスト用サーバ
11 プレテスト情報記憶部
12、24、35 プログラム記憶部
14、26、36 処理部
20 教材学習スケジュール決定用サーバ
21 問題出題率情報記憶部
22 教材情報記憶部
23 順序付け用指数情報記憶部
24 入出力部
25 プログラム記憶部
30 情報端末
DESCRIPTION OF SYMBOLS 10 Pretest server 11 Pretest information storage part 12, 24, 35 Program storage part 14, 26, 36 Processing part 20 Teaching material learning schedule determination server 21 Problem question rate information storage part 22 Teaching material information storage part 23 Indexing information for ordering Storage unit 24 Input / output unit 25 Program storage unit 30 Information terminal

Claims (21)

学習者が受験予定の或る試験における過去の試験での複数種の学習要素毎の問題出題率を記憶した第1の記憶手段と、
前記或る試験対策用であって各々1学習コマ分の多数の教材について、複数種の学習要素毎に期待される学習効果度を記憶した第2の記憶手段と、
教材別、N個の学習コマの中での学習コマ順位別に定められた順序付け用指数であって、同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きく(小さく)なるように定めた順序付け用指数の情報を記憶した第3の記憶手段と、
第1乃至第3の記憶手段に記憶された情報と、学習者が事前に受けた予備テストでの学習要素毎の正答率または誤答率の情報を用いて、同じ教材はN個の学習コマ数の中で高々一回だけ学習するという制約条件下で、多数の教材の中から種々にN個の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、予め定められた複数種の学習要素についてと選択されたN個の教材について加算した第1の値と、選択された順序付のN個の教材の各選択順位の順序付け用指数をN個の教材について加算した第2の値とを重み付け加算した値が最大となる順序付けのN個の組み合わせを、数理計画法により探索する探索手段と、
を含むことを特徴とする教材学習スケジュール決定装置。
A first storage means for storing a question assignment rate for each of a plurality of types of learning elements in a past test in a test that the learner is scheduled to take;
A second storage means for storing a degree of learning effect expected for each of a plurality of types of learning elements for a number of learning materials for each of the learning frames for the certain test measure;
An index for ordering determined by the learning material and the learning frame ranking among the N learning frames. The learning index that has the advantage of learning in the previous ranking between the different learning materials in the same learning frame ranking is smaller (larger) ), A third storage means for storing information on an index for ordering that is determined such that the index increases (decreases) as the rank decreases between different learning frame ranks in the same teaching material;
Using the information stored in the first to third storage means and the information on the correct answer rate or the incorrect answer rate for each learning element in the preliminary test that the learner received in advance, the same teaching material has N learning frames. The learning effectiveness and learning error rate for each learning element when N materials are selected in order from various teaching materials under the constraint of learning only once at most And a first value obtained by adding the product of the question assignment rate in the exam for a plurality of predetermined learning elements and for the selected N teaching materials, and for each of the selected ordered N teaching materials Search means for searching for N combinations of ordering that maximizes a value obtained by weighting and adding a second value obtained by adding the ordering index of selection order for N teaching materials;
A learning material learning schedule determination device including:
第3の記憶手段は、教材別、N個の学習コマの中での学習コマ順位別に定められた順序付け用指数であって、同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が小さく(大きく)なるように定めた順序付け用指数の情報を記憶するようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴とする請求項1記載の教材学習スケジュール決定装置。
The third storage means is an index for ordering determined for each learning material and for each learning frame rank among the N learning frames, and it is advantageous to learn in the previous rank between different learning materials with the same learning frame rank. The learning index information is set so that the index is smaller (larger) and the index is smaller (larger) as the ranking is lower between different learning frames in the same teaching material.
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
The learning material learning schedule determination device according to claim 1.
数理計画法により第1の値を求める際の学習要素の種類を学習者または教師が設定する学習要素設定手段を設け、
探索手段は、第1の値を計算する際、多数の教材の中から種々にN個の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、学習要素設定手段で設定された複数種の学習要素についてと選択されたN個の教材について加算するようにしたこと、
を特徴とする請求項1または2記載の教材学習スケジュール決定装置。
A learning element setting means is provided for the learner or teacher to set the type of learning element when the first value is determined by mathematical programming.
When the first value is calculated, the search means determines the learning effect level for each learning element, the error rate of the learner, and the test when various N learning materials are selected from a large number of learning materials in order. The product of the question rate of questions is added for the multiple learning elements set by the learning element setting means and the selected N teaching materials,
The learning material learning schedule determination device according to claim 1 or 2, characterized in that:
学習者が受験予定の或る試験における過去の試験での複数種の学習要素毎の問題出題率を記憶した第1の記憶手段と、
前記或る試験対策用の多数の教材について、複数種の学習要素毎に期待される学習効果度と予定学習時間を記憶した第2の記憶手段と、
教材別、N個の学習コマの中での学習コマ順位別に定められた順序付け用指数であって、同じ学習コマ順位で異なる教材間では先順位での学習が有利なほど指数が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が大きく(小さく)なるように定めた順序付け用指数の情報を記憶した第3の記憶手段と、
第1乃至第3の記憶手段に記憶された情報と、学習者が事前に受けた予備テストでの学習要素毎の正答率または誤答率の情報を用いて、同じ教材はN個の学習コマ数の中で高々一回だけ学習するという制約条件と、1つの学習コマ内で1以上の教材を学習可能であるが教材の予定学習時間の合計は一コマ分の学習時間を超えないという制約条件下で、全教材の中から種々にNコマ分の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、予め定められた範囲の学習要素についてと選択されたNコマ分の教材について加算した第1の値と、選択された順序付のNコマ分の教材の各選択順位の順序付け用指数をNコマ分の教材について加算した第2の値とを重み付け加算した値が最大となるNコマ分の順序付の教材の個の組み合わせを、数理計画法により探索する探索手段と、
を含むことを特徴とする教材学習スケジュール決定装置。
A first storage means for storing a question assignment rate for each of a plurality of types of learning elements in a past test in a test that the learner is scheduled to take;
A second storage means for storing a learning effect level and a planned learning time expected for each of a plurality of types of learning elements for a plurality of teaching materials for a certain test measure;
This is an index for ordering that is determined by the learning material and the learning frame ranking among the N learning frames, and the index is smaller (larger) between different learning materials with the same learning frame ranking, so that learning in the previous ranking is advantageous. A third storage means for storing information on an ordering index that is determined so that the index increases (decreases) as the rank decreases between different learning frame ranks in the same teaching material;
Using the information stored in the first to third storage means and the information on the correct answer rate or the incorrect answer rate for each learning element in the preliminary test that the learner received in advance, the same teaching material has N learning frames. Restriction that only one learning is possible at most, and one or more teaching materials can be learned in one learning frame, but the total learning time of teaching materials does not exceed the learning time for one frame Under the conditions, the product of the learning effectiveness for each learning element, the error rate of the learner, and the question rate in the exam when the materials for N frames are selected from various teaching materials in order. The first value added for the learning elements in the defined range and the selected N-frame learning materials, and the ordering index for each selection order of the selected ordered N-frame learning materials are set for N frames. N values that maximize the weighted addition of the second value added for the learning material The number of combinations of the partial ordering of materials for, and search means for searching by mathematical programming,
A learning material learning schedule determination device including:
第3の記憶手段は、教材別、N個の学習コマの中での学習コマ順位別に定められた順序付け用指数であって、同じ学習コマ順位で異なる教材間では先順位での学習が有利な教材ほど指数が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど指数が小さく(大きく)なるように定めた順序付け用指数の情報を記憶するようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴とする請求項4記載の教材学習スケジュール決定装置。
The third storage means is an index for ordering determined for each learning material and for each learning frame rank among the N learning frames, and it is advantageous to learn in the previous rank between different learning materials with the same learning frame rank. The learning index information is set so that the index is smaller (larger) and the index is smaller (larger) as the ranking is lower between different learning frames in the same teaching material.
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
The learning material learning schedule determination device according to claim 4.
数理計画法により第1の値を求める際の学習要素の種類を学習者または教師が設定する学習要素設定手段を設け、
探索手段は、第1の値を計算する際、多数の教材の中から種々にNコマ分の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、学習要素設定手段で設定された複数種の学習要素についてと選択されたNコマ分の教材について加算するようにしたこと、
を特徴とする請求項4または5記載の教材学習スケジュール決定装置。
A learning element setting means is provided for the learner or teacher to set the type of learning element when the first value is determined by mathematical programming.
When the search means calculates the first value, the learning effect level for each learning element, the learner's error rate, and the test when various N frames of materials are selected in order from among a large number of materials The product of the question rate of questions at is added for the multiple learning elements set by the learning element setting means and for the selected N-frame teaching materials,
The learning material learning schedule determination device according to claim 4 or 5, characterized in that:
順序付け用指数は、教材の難易度を指標に定めてあること、
を特徴とする請求項1乃至6の内のいずれか一項記載の教材学習スケジュール決定装置。
The ordering index is based on the difficulty level of the teaching materials.
The teaching material learning schedule determination device according to any one of claims 1 to 6, wherein
順序付け指数は、先順位での学習が有利な特定の1または複数の学習要素を指標に定めてあること、
を特徴とする請求項1乃至6内のいずれか一項記載の教材学習スケジュール決定装置。
The ordering index is based on one or more specific learning elements that are advantageous for learning in order of precedence,
The learning material learning schedule determination device according to any one of claims 1 to 6, wherein
順序付け指数は、後順位での学習が有利な特定の1または複数の学習要素を指標に定めてあること、
を特徴とする請求項1乃至6内のいずれか一項記載の教材学習スケジュール決定装置。
The ordering index is based on one or more specific learning elements that are advantageous for learning at a later rank,
The learning material learning schedule determination device according to any one of claims 1 to 6, wherein
学習者が受験予定の或る試験における過去の試験での複数種の学習要素毎の問題出題率を記憶した第1の記憶手段と、
前記或る試験対策用であって各々1学習コマ分の多数の教材について、複数種の学習要素毎に期待される学習効果度を記憶した第2の記憶手段と、
複数種の学習要素の中から学習者が優先的な学習コマ順位で学習したい学習要素を指定する指定手段と、
指定手段で指定された学習要素についての各教材の学習効果度から、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど大きく(小さく)なる順序付け用指数を作成するための情報を記憶した第3の記憶手段と、
第1乃至第3の記憶手段に記憶された情報と、学習者が事前に受けた予備テストでの学習要素毎の正答率または誤答率の情報を用いて、同じ教材はN個の学習コマ数の中で高々一回だけ学習するという制約条件下で、多数の教材の中から種々にN個の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、予め定めた複数種の学習要素についてと選択されたN個の教材について加算した第1の値と、選択された順序付のN個の教材の各選択順位の順序付け用指数をN個の教材について加算した第2の値とを重み付け加算した値が最大となる順序付けのN個の組み合わせを、数理計画法により探索する探索手段と、
を含むことを特徴とする教材学習スケジュール決定装置。
A first storage means for storing a question assignment rate for each of a plurality of types of learning elements in a past test in a test that the learner is scheduled to take;
A second storage means for storing a degree of learning effect expected for each of a plurality of types of learning elements for a number of learning materials for each of the learning frames for the certain test measure;
A designation means for designating a learning element that a learner wants to learn in a preferential learning frame rank from among a plurality of types of learning elements,
From the learning effect level of each learning material for the learning element specified by the designating means, the higher the learning effect level between different learning materials with the same learning frame rank, according to the learning frame rank by learning material and among the learning frame ranks among the N learning frames. Third storage means for storing information for creating an index for ordering that is smaller (larger) and larger (smaller) as the rank decreases between different learning frame ranks in the same teaching material;
Using the information stored in the first to third storage means and the information on the correct answer rate or the incorrect answer rate for each learning element in the preliminary test that the learner received in advance, the same teaching material has N learning frames. The learning effectiveness and learning error rate for each learning element when N materials are selected in order from various teaching materials under the constraint of learning only once at most And a first value obtained by adding the product of the question assignment rate in the exam and a plurality of predetermined learning elements and the selected N teaching materials, and each of the selected ordered N teaching materials A search means for searching for N combinations of ordering by which a value obtained by weighting and adding a second value obtained by adding the ordering index for ranking to N teaching materials is maximized by mathematical programming;
A learning material learning schedule determination device including:
第3の記憶手段は、指定手段で指定された学習要素についての各教材の学習効果度から、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど小さく(大きく)なる順序付け用指数を作成するための情報を記憶するようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴とする請求項10記載の教材学習スケジュール決定装置。
The third storage means is based on the learning effect level of each learning material for the learning element specified by the specifying means, and is based on the learning frame ranking among the learning frames in each of the learning materials and in the N learning frames. Then, the higher the learning effectiveness, the smaller the value (larger), and the information for creating an index for ordering that decreases (larger) as the ranking decreases between different learning frame rankings in the same material,
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
The learning material learning schedule determination device according to claim 10.
第3の記憶手段は、学習要素毎に、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習要素に対応する学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど大きく(小さく)なる順序付け用指数を記憶しておくようにしたこと、
を特徴とする請求項10記載の教材学習スケジュール決定装置。
The third storage means has a larger learning effect level corresponding to a learning element between different learning materials in the same learning frame ranking for each learning element, for each learning material, and for each learning frame ranking among the N learning frames. An index for ordering that is smaller (larger) and larger (smaller) as the rank goes down between different learning frames in the same material,
The learning material learning schedule determination device according to claim 10.
第3の記憶手段は、学習要素毎に、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習要素に対応する学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど小さく(大きく)なる順序付け用指数を記憶しておくようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴とする請求項10記載の教材学習スケジュール決定装置。
The third storage means has a larger learning effect level corresponding to a learning element between different learning materials in the same learning frame ranking for each learning element, for each learning material, and for each learning frame ranking among the N learning frames. Remember that the ordering index is smaller (larger) and smaller (larger) as the rank goes down between different learning frames in the same material,
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
The learning material learning schedule determination device according to claim 10.
数理計画法により第1の値を求める際の学習要素の種類を学習者または教師が設定する学習要素設定手段を設け、
探索手段は、第1の値を計算する際、多数の教材の中から種々にN個の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、学習要素設定手段で設定された複数種の学習要素についてと選択されたN個の教材について加算するようにしたこと、
を特徴とする請求項10乃至13の内のいずれか一項記載の教材学習スケジュール決定装置。
A learning element setting means is provided for the learner or teacher to set the type of learning element when the first value is determined by mathematical programming.
When the first value is calculated, the search means determines the learning effect level for each learning element, the error rate of the learner, and the test when various N learning materials are selected from a large number of learning materials in order. The product of the question rate of questions is added for the multiple learning elements set by the learning element setting means and the selected N teaching materials,
The learning material learning schedule determination device according to any one of claims 10 to 13, characterized in that:
学習者が受験予定の或る試験における過去の試験での複数種の学習要素毎の問題出題率を記憶した第1の記憶手段と、
前記或る試験対策用の多数の教材について、複数種の学習要素毎に期待される学習効果度と予定学習時間を記憶した第2の記憶手段と、
複数種の学習要素の中から学習者が優先的な学習コマ順位で学習したい学習要素を指定する学習要素指定手段と、
指定手段で指定された学習要素についての各教材の学習効果度から、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど大きく(小さく)なる順序付け用指数を作成するための情報を記憶した第3の記憶手段と、
第1乃至第3の記憶手段に記憶された情報と、学習者が事前に受けた予備テストでの学習要素毎の正答率または誤答率の情報を用いて、同じ教材はN個の学習コマ数の中で高々一回だけ学習するという制約条件と、1つの学習コマ内で1以上の教材を学習可能であるが教材の予定学習時間の合計は一コマ分の学習時間を超えないという制約条件下で、全教材の中から種々にNコマ分の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、予め定められた複数種の学習要素についてと選択されたNコマ分の教材について加算した第1の値と、選択された順序付のNコマ分の教材の各選択順位の順序付け用指数をNコマ分の教材について加算した第2の値とを重み付け加算した値が最大となるNコマ分の順序付の教材の個の組み合わせを、数理計画法により探索する探索手段と、
を含むことを特徴とする教材学習スケジュール決定装置。
A first storage means for storing a question assignment rate for each of a plurality of types of learning elements in a past test in a test that the learner is scheduled to take;
A second storage means for storing a learning effect level and a planned learning time expected for each of a plurality of types of learning elements for a plurality of teaching materials for a certain test measure;
A learning element specifying means for specifying a learning element that a learner wants to learn in a priority learning frame rank from a plurality of types of learning elements,
From the learning effect level of each learning material for the learning element specified by the designating means, the higher the learning effect level between different learning materials with the same learning frame rank, according to the learning frame rank by learning material and among the learning frame ranks among the N learning frames. Third storage means for storing information for creating an index for ordering that is smaller (larger) and larger (smaller) as the rank decreases between different learning frame ranks in the same teaching material;
Using the information stored in the first to third storage means and the information on the correct answer rate or the incorrect answer rate for each learning element in the preliminary test that the learner received in advance, the same teaching material has N learning frames. Restriction that only one learning is possible at most, and one or more teaching materials can be learned in one learning frame, but the total learning time of teaching materials does not exceed the learning time for one frame Under the conditions, the product of the learning effectiveness for each learning element, the error rate of the learner, and the question rate in the exam when the materials for N frames are selected from various teaching materials in order. The first value added for the determined plural kinds of learning elements and the selected N-frame teaching materials, and the ordering index for each selection order of the selected ordered N-frame teaching materials for N frames N is the largest value obtained by weighted addition of the second value added for the teaching materials of The number of combinations of Ma partial ordering of materials for, and search means for searching by mathematical programming,
A learning material learning schedule determination device including:
第3の記憶手段は、指定手段で指定された学習要素についての各教材の学習効果度から、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど小さく(大きく)なる順序付け用指数を作成するための情報を記憶するようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴とする請求項15記載の教材学習スケジュール決定装置。
The third storage means is based on the learning effect level of each learning material for the learning element specified by the specifying means, and is based on the learning frame ranking among the learning frames in each of the learning materials and in the N learning frames. Then, the higher the learning effectiveness, the smaller the value (larger), and the information for creating an index for ordering that decreases (larger) as the ranking decreases between different learning frame rankings in the same material,
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
The learning material learning schedule determination device according to claim 15, wherein:
第3の記憶手段は、学習要素毎に、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習要素に対応する学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど大きく(小さく)なる順序付け用指数を記憶しておくようにしたこと、
を特徴とする請求項15記載の教材学習スケジュール決定装置。
The third storage means has a larger learning effect level corresponding to a learning element between different learning materials in the same learning frame ranking for each learning element, for each learning material, and for each learning frame ranking among the N learning frames. An index for ordering that is smaller (larger) and larger (smaller) as the rank goes down between different learning frames in the same material,
The learning material learning schedule determination device according to claim 15, wherein:
第3の記憶手段は、学習要素毎に、教材別、N個の学習コマの中での学習コマ順位別に、同じ学習コマ順位で異なる教材間では学習要素に対応する学習効果度が大きいほど値が小さく(大きく)、同じ教材で異なる学習コマ順位間では順位が下がるほど小さく(大きく)なる順序付け用指数を記憶しておくようにし、
探索手段は、数理計画法により探索する際、第1の値と第2の値の重み付け減算をするようにしたこと、
を特徴とする請求項15記載の教材学習スケジュール決定装置。
The third storage means has a larger learning effect level corresponding to a learning element between different learning materials in the same learning frame ranking for each learning element, for each learning material, and for each learning frame ranking among the N learning frames. Remember that the ordering index is smaller (larger) and smaller (larger) as the rank goes down between different learning frames in the same material,
The searching means performs weighted subtraction between the first value and the second value when searching by mathematical programming.
The learning material learning schedule determination device according to claim 15, wherein:
数理計画法により第1の値を求める際の学習要素の種類を学習者または教師が設定する学習要素設定手段を設け、
探索手段は、第1の値を計算する際、多数の教材の中から種々にNコマ分の教材を順序付で選択したときの学習要素毎の学習効果度と学習者の誤答率と試験での問題出題率の積を、学習要素設定手段で設定された複数種の学習要素についてと選択されたNコマ分の教材について加算するようにしたこと、
を特徴とする請求項10乃至18の内のいずれか一項記載の教材学習スケジュール決定装置。
A learning element setting means is provided for the learner or teacher to set the type of learning element when the first value is determined by mathematical programming.
When the search means calculates the first value, the learning effect level for each learning element, the learner's error rate, and the test when various N frames of materials are selected in order from among a large number of materials The product of the question rate of questions at is added for the multiple learning elements set by the learning element setting means and for the selected N-frame teaching materials,
The learning material learning schedule determination device according to any one of claims 10 to 18, wherein
学習者が事前に受けた予備テストでの学習要素毎の正答率または誤答率の情報を探索手段に入力する入力手段を設けたこと、
を特徴とする請求項1乃至19の内のいずれか一項記載の教材学習スケジュール決定装置。
Providing an input means for inputting information on the correct answer rate or the incorrect answer rate for each learning element in the preliminary test that the learner has received in advance to the search means;
The learning material learning schedule determination device according to any one of claims 1 to 19, wherein
探索手段での探索結果を学習者に提示する提示手段を設けたこと、
を特徴とする請求項1乃至20の内のいずれか一項記載の教材学習スケジュール決定装置。
Provided a presentation means for presenting the search results of the search means to the learner;
The learning material learning schedule determination device according to any one of claims 1 to 20, wherein
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