CN105654402A - Learning ability determining method and learning ability determining system based on time dimension and homogeneous comparison dimension - Google Patents

Abstract

The present invention discloses a learning ability judging method and system based on time dimension and similar comparison dimension. The method includes: S1: Acquiring the score, total score and difficulty of each test question with the first knowledge point in the Nth test Coefficient; S2: Calculate the first ratio of the score of each test question to the total score, and the second ratio of the first ratio to the difficulty coefficient; S3: Calculate the score of the first knowledge point of the N-1 exam The sum of the ratio and all the second ratios is used as the score rate of the first knowledge point of the Nth test; S4: Calculate the ideal score rate of the first knowledge point of the N-1th test and the reciprocal of the difficulty coefficient of each test question and as the ideal scoring rate of the first knowledge point of the Nth examination; S5: calculate the ratio between the first knowledge point scoring rate of the Nth examination and the ideal scoring rate of the first knowledge point of the Nth examination , as the judgment result of the first knowledge point of the Nth test; wherein, N is a natural number greater than or equal to 1.

Description

Method and system for judging learning ability based on time dimension and similar comparison dimension

technical field

The invention belongs to the field of teaching evaluation, and in particular relates to a learning ability judging method and system based on time dimension and similar comparison dimension.

Background technique

Educational evaluation has always been an important topic in educational research. Using scientific and objective methods to evaluate students' learning ability is an important aspect of educational evaluation research. At present, there are many models and methods for educational institutions to comprehensively judge students' learning ability. It can be seen that these methods use mathematical statistics methods to establish relevant mathematical models to evaluate and analyze students' learning ability and quality, and these methods It can judge the learning ability of students from a certain angle and aspect.

However, student learning is a step-by-step process. Through a student's test, the results obtained by judging students will inevitably be one-sided and formulaic, and the results obtained are often difficult to fully cover the students' true abilities. At present, most of the judgment models and methods adopted by educational institutions are not able to combine the time dimension or compare with the same kind to make a comprehensive judgment.

Contents of the invention

The technical problem to be solved by the present invention is how to evaluate the students' learning ability in combination with the examination and time before the examination.

In view of the above technical problems, the present invention provides a method for judging learning ability based on the time dimension and similar comparison dimension, including:

S1: Obtain the score, total score and difficulty coefficient of each test question with the first knowledge point in the Nth test;

S2: Calculating a first ratio between the score of each test question and the total score, and a second ratio between the first ratio and the difficulty coefficient;

S3: Calculate the sum of the scoring rate of the first knowledge point of the N-1th test and all second ratios as the scoring rate of the first knowledge point of the Nth test;

S4: Calculate the sum of the ideal score rate of the first knowledge point of the N-1th test and the reciprocal of the difficulty coefficient of each test question as the ideal score rate of the first knowledge point of the Nth test;

S5: Calculate the ratio between the score rate of the first knowledge point of the Nth test and the ideal score rate of the first knowledge point of the Nth test as the judgment result of the first knowledge point of the Nth test ;

Wherein, N is a natural number greater than or equal to 1.

Preferably, said step S3 includes:

S31: Calculate the product of the score rate of the first knowledge point of the N-1th test and the correction factor of the N-th test, as the corrected score rate of the first knowledge point of the N-1th test, wherein, the N-th test - the longer the time between the first test and the Nth test, the smaller the value of the correction factor for the Nth test;

S32: The sum of the corrected score rate of the first knowledge point of the N-1th test and all second ratios is used as the score rate of the first knowledge point of the Nth test.

Preferably, said step S4 includes:

S41: Obtain the product of the ideal score rate of the first knowledge point of the N-1th test and the correction factor of the N-th test, as the corrected ideal score rate of the first knowledge point of the N-1th test;

S42: The sum of the corrected ideal score rate of the first knowledge point of the N-1th test and the reciprocal of the difficulty coefficient of each test question is used as the ideal score rate of the first knowledge point of the Nth test.

Preferably, the calculation formula of the Nth correction factor is as follows:

${\mathrm{<span\; class="notranslate">\; m</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; =</span>{\mathrm{<span\; class="notranslate">\; m</span>}}^{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}}$

Among them, M _n is the correction factor for the Nth time, m is the preset factor, T _n is the time of the Nth test, and T _n-1 is the time for the N-1th test.

Preferably, include:

S6: Calculate the expectation of the determination results of all knowledge points in the Nth test as the determination result of the Nth test.

On the other hand, the present invention provides a learning ability judging system based on time dimension and similar comparison dimension, including:

The first obtaining module is used to obtain the score, total score and difficulty coefficient of each test question with the first knowledge point in the Nth test;

The first calculation module is used to calculate the first ratio of the score of each test question to the total score, and the second ratio of the first ratio to the difficulty coefficient;

The second calculation module is used to calculate the first knowledge point score rate of the N-1th test and the sum of all second ratios as the first knowledge point score rate of the Nth test;

The third calculation module is used to calculate the ideal score rate of the first knowledge point of the N-1 test and the sum of the reciprocal of the difficulty coefficient of each test question as the ideal score rate of the first knowledge point of the N-th test;

The fourth calculation module is used to calculate the ratio between the score rate of the first knowledge point of the N test and the ideal score rate of the first knowledge point of the N test, as the first score of the N test. Judgment results of knowledge points;

Wherein, N is a natural number greater than or equal to 1.

Preferably, the second computing module further includes:

The first calculation unit is used to calculate the product of the score rate of the first knowledge point of the N-1th test and the correction factor of the N-th test as the corrected score rate of the first knowledge point of the N-1 test , wherein, the longer the time between the N-1th exam and the Nth exam, the smaller the value of the correction factor for the Nth exam;

The second calculation unit is configured to use the sum of the corrected score rate of the first knowledge point of the N-1th test and all second ratios as the score rate of the first knowledge point of the Nth test.

Preferably, the third computing module further includes:

The third calculation unit is used to obtain the product of the ideal score rate of the first knowledge point of the N-1th test and the correction factor of the Nth time, as the corrected ideal of the first knowledge point of the N-1th test scoring rate;

The fourth calculation unit is used to use the sum of the corrected ideal score rate of the first knowledge point of the N-1th test and the reciprocal of the difficulty coefficient of each test question as the ideal score rate of the first knowledge point of the Nth test .

Preferably, the calculation formula of the Nth correction factor is as follows:

${\mathrm{<span\; class="notranslate">\; m</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; =</span>{\mathrm{<span\; class="notranslate">\; m</span>}}^{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}}$

Among them, M _n is the correction factor for the Nth time, m is the preset factor, T _n is the time of the Nth test, and T _n-1 is the time for the N-1th test.

Preferably, the learning effect determination system also includes:

The fifth calculation module is used to calculate the expectation of the determination results of all knowledge points in the Nth test as the determination result of the Nth test.

The learning ability judging method and system based on the time dimension and similar comparison dimension provided by the present invention aim at the students' learning effect on a knowledge point, comprehensively considering the student's mastery of the knowledge point in the exam before this exam and the time factor The impact of the knowledge point is more accurate and comprehensive for students to judge the learning ability of the knowledge point. In addition, by comparing the judgment results of multiple students on the knowledge point, the learning ability of the students in the group can be judged.

Description of drawings

In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description These are some embodiments of the present invention. Those skilled in the art can also obtain other drawings based on these drawings without creative work.

Fig. 1 is a flow chart of a learning ability judging method based on time dimension and similar comparison dimension provided by one embodiment of the present invention;

Fig. 2 is a structural block diagram of a learning ability judging system based on time dimension and similar comparison dimension provided by an embodiment of the present invention.

detailed description

In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments It is a part of embodiments of the present invention, but not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

Example 1:

Fig. 1 is a flow chart of the learning ability determination method based on the time dimension and similar comparison dimension provided by this embodiment, see Fig. 1, the method includes:

S1: Obtain the score, total score and difficulty coefficient (N≥1) of each test question with the first knowledge point in the Nth test;

S2: Calculating a first ratio between the score of each test question and the total score, and a second ratio between the first ratio and the difficulty coefficient;

S3: Calculate the sum of the scoring rate of the first knowledge point of the N-1th test and all second ratios as the scoring rate of the first knowledge point of the Nth test;

S4: Calculate the sum of the ideal score rate of the first knowledge point of the N-1th test and the reciprocal of the difficulty coefficient of each test question as the ideal score rate of the first knowledge point of the Nth test;

S5: Calculate the ratio between the score rate of the first knowledge point of the Nth test and the ideal score rate of the first knowledge point of the Nth test as the judgment result of the first knowledge point of the Nth test ;

It should be noted that: the Nth exam and the N-1th exam are both exams within a preset time, for example: exams within two years. If the time between the previous test and the current test is too long, the results of the previous test will have little or no influence on the judgment of learning ability in this test.

The knowledge points of the test questions in the exam are determined according to the content of the test questions, and one test question is associated with one or more knowledge points. The score of each test question is the actual score of the test question, and the total score is the total score of the test question. Difficulty coefficients are generally given by teaching institutions, specifically, based on the scores of those who have answered the question before or estimated based on the experience of teachers, reflecting the scores of the student group in answering the test question.

The first ratio reflects the scoring rate of the test item, and the second ratio is the quotient obtained by dividing the first ratio by the degree of difficulty.

If the Nth test is the first test within the preset time, the sum of all the second ratios of the test questions with the knowledge point in the first test is taken as the first knowledge point score rate of the first test.

If the Nth exam is not the first exam within the preset time, the sum of the score rate of the first knowledge point of the N-1th exam and all the second ratios of the Nth exam will be taken as the first score of the Nth exam. Knowledge point scoring rate.

If the Nth test is the first test within the preset time, the sum of the reciprocals of the difficulty coefficients of each test question associated with the first knowledge point is calculated as the ideal score rate of the first test.

If the Nth exam is not the first exam within the preset time, calculate the sum of the reciprocal sum of the difficulty coefficient of each test question associated with the Nth exam and the first knowledge point and the ideal score rate of the N-1th exam and as the ideal scoring rate for the Nth exam.

Calculate the ratio between the score rate of the first knowledge point of the Nth test and the ideal score rate of the Nth test as the judgment result of the first knowledge point of the Nth test.

Similarly, the learning ability determination method can be equivalently replaced with the following steps:

Obtain the score, total score and target difficulty coefficient of each test question with the first knowledge point in the Nth test; wherein the target difficulty coefficient is equal to 1 minus the difficulty coefficient of the test question;

Calculating the first ratio of the score of each test question to the total score, and the product of the target difficulty coefficient and the first ratio;

Calculate the score rate of the first knowledge point of the N-1th test and the sum of all products as the score rate of the first knowledge point of the Nth test;

Calculate the sum of the target difficulty coefficient of each test question and the ideal score rate of the N-1th test as the ideal score rate of the Nth test;

calculating the ratio between the score rate of the first knowledge point of the Nth test and the ideal score rate of the Nth test, as the judgment result of the first knowledge point of the Nth test;

Wherein, N is a natural number greater than or equal to 1.

In the learning ability judging method based on time dimension and similar comparison dimension, the reciprocal of the difficulty coefficient in the original judging method is replaced by the target difficulty coefficient. Since the reciprocal of the difficulty coefficient decreases with the increase of the difficulty coefficient, the target difficulty coefficient also decreases with the increase of the difficulty coefficient, so this method, like the original judgment method, can be used to judge the learning ability .

Comparing the judgment results of all the examinations of the students within a period of time reflects the learning ability of the students during this period. Comparing the judgment results of all examinations of a student group within a period of time reflects the learning ability of the student during this period. Comparing the judgment results of different students in the same test reflects the learning ability of different students in the same time period.

The learning ability judging method provided by the present invention aims at the students' learning effect on a certain knowledge point, and comprehensively considers the students' mastery of the knowledge point before and during the exam and the influence of time factors, so that the evaluation result is more accurate and comprehensive.

Example 2:

In this embodiment, on the basis of Embodiment 1, step S3 includes:

S31: Calculate the product of the score rate of the first knowledge point of the N-1th test and the correction factor of the N-th test, as the corrected score rate of the first knowledge point of the N-1th test, wherein, the N-th test - the longer the time between the first test and the Nth test, the smaller the value of the correction factor for the Nth test;

S32: The sum of the corrected score rate of the first knowledge point of the N-1th test and all second ratios is used as the score rate of the first knowledge point of the Nth test.

Step S4, including:

S41: Obtain the product of the ideal score rate of the first knowledge point of the N-1th test and the correction factor of the N-th test, as the corrected ideal score rate of the first knowledge point of the N-1th test;

S42: The sum of the corrected ideal score rate of the first knowledge point of the N-1th test and the reciprocal of the difficulty coefficient of each test question is used as the ideal score rate of the first knowledge point of the Nth test.

It should be noted that: the longer the time between the N-1th exam and the Nth exam, the smaller the impact on the Nth exam, and the smaller the correction factor for the Nth exam;

The calculation formula of the Nth correction factor in the above steps is as follows:

${\mathrm{<span\; class="notranslate">\; m</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; =</span>{\mathrm{<span\; class="notranslate">\; m</span>}}^{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}}$

Among them, M _n is the correction factor for the Nth time, m is the preset factor, T _n is the time of the Nth test, and T _n-1 is the time for the N-1th test.

It can be understood that the formula for calculating the first ratio of a test question with the first knowledge point in the Nth test is as follows:

${\mathrm{<span\; class="notranslate">\; d</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}}{{\mathrm{<span\; class="notranslate">\; the\; y</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}}$

Among them, x _n is the score of the test question in the Nth test, y _n is the full score of the test question, and d _n is the first ratio of the test question, indicating the actual score rate of the test question in the Nth test.

The formula for calculating the second ratio of a test question with the first knowledge point in the Nth test is as follows:

${\mathrm{<span\; class="notranslate">\; z</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; d</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}}{{\mathrm{<span\; class="notranslate">\; p</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}}$

Among them, d _n is the first ratio of the test question with the first knowledge point in the Nth test, p _n is the difficulty coefficient corresponding to the test question in the Nth test, and z _n is the second ratio of the test question.

The formula for calculating the scoring rate of the first knowledge point in the Nth test is as follows:

${\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; =</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; \&times;</span>{\mathrm{<span\; class="notranslate">\; m</span>}}^{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}}<span\; class="notranslate">\; +</span>\underset{\mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; j</span>}}{<span\; class="notranslate">\; \&Sigma;</span>}}{\mathrm{<span\; class="notranslate">\; z</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; i</span>}}$

Among them, S _n is the scoring rate of the first knowledge point of the Nth test, and S _n-1 is the scoring rate of the first knowledge point of the N-1th test; is the Nth correction factor, T _n is the time of the Nth exam, T _n-1 is the time of the N-1th exam, T _n -T _n-1 means that the Nth exam is far from the N-1th exam In the calculation, as long as the time units of T _n and T _n-1 are unified, it is generally calculated in days; j is the total number of test questions with the first knowledge point in the Nth exam, and i is the Nth exam In the exam, the i-th of the total number of j test questions with the first knowledge point, i≥1, j≥1, is the sum of the second ratios of all j items with the first knowledge point in the Nth test.

The default factor m is a number in the interval [0, 1], which can be determined by This formula is OK. Wherein, t represents a preset time, and in the preset time, the judgment result of the Nth test is related to the previous N-1 tests within the preset time t. The time of t is generally taken as a unit of year, for example, when t=2, the preset time is 2 years. When t=2, then (rounding).

The formula for calculating the ideal score rate of the Nth test is as follows:

${\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; =</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; \&times;</span>{\mathrm{<span\; class="notranslate">\; m</span>}}^{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}}<span\; class="notranslate">\; +</span>\underset{\mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; j</span>}}{<span\; class="notranslate">\; \&Sigma;</span>}}\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{\mathrm{<span\; class="notranslate">\; p</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; i</span>}}}$

Among them, L _n is the ideal score rate of a test question with the first knowledge point in the Nth test, and L _n-1 is a test question with the first knowledge point in the N-1 test ideal scoring rate, Indicates the sum of the reciprocals of the difficulty coefficients of all test questions with the first knowledge point in the Nth test.

The calculation formula for the judgment result of the first knowledge point of the Nth exam is:

${\mathrm{<span\; class="notranslate">\; f</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}}{{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}}$

Wherein, F _n represents the determination result of the first knowledge point of the Nth test. The larger the value of _Fn , the better the students' mastery of the knowledge point and the stronger their learning ability.

The point-based learning ability determination method provided in this embodiment comprehensively considers the student's mastery of the knowledge point in the test before the test and the influence of time factors, so that the evaluation result is more accurate and comprehensive. In addition, this method can also be used to determine the comprehensive learning ability of students on multiple knowledge points.

Example 3:

On the basis of embodiment 1 or embodiment 2, the learning ability determination method also includes:

S6: Calculate the expectation of the determination results of all knowledge points in the Nth test as the determination result of the Nth test.

Calculate the expectation of a student's judgment results of all knowledge points in an exam, and obtain the judgment result of the Nth exam, which reflects the student's comprehensive learning situation of all knowledge points.

This embodiment provides a method for judging a student's learning ability through all knowledge points contained in a test paper. Similarly, the method of calculating knowledge points is used to calculate the judgment results of all test questions in the Nth exam, and then find Expectation can also be used as the judgment result of the student's current exam, or the judgment result of the entire exam paper can be calculated by using the score of the entire test paper, the degree of difficulty and the total score as the judgment result of the Nth exam.

Specifically, obtain the score, total score and difficulty coefficient of each test question in the Nth test;

calculating a first ratio of the score of each test question to the total score, and a second ratio of the first ratio to the difficulty factor of the test question;

In the N-1th test, the sum of the score rate of the test question most similar to the test question and the second ratio of the test question is used as the test question score rate of the Nth test;

Calculate the sum of the ideal score rate of the test question most similar to the test question and the reciprocal of the difficulty coefficient of the test question in the N-1th time as the ideal score rate of the test question in the Nth test;

Calculate the ratio between the score rate of the test question in the Nth test and the ideal score rate of the test question in the N test, as the judgment result of the test question in the N test;

Calculate the expected value of the judgment results of all the test questions in the Nth exam, and take it as the judgment result of the Nth exam.

Wherein, N is a natural number greater than or equal to 1.

Or, obtain the average score, total score and average difficulty coefficient of the entire test paper in the Nth test;

calculating a first ratio of the average score of the bottom N tests to the total score, and a second ratio of the first ratio to the average difficulty coefficient;

Calculate the sum of the score rate of the N-1th test and the second ratio as the score rate of the Nth test;

Calculate the ideal score rate of the N-1th test and the reciprocal of the average difficulty coefficient of the Nth test as the ideal score rate of the Nth test;

Calculate the ratio between the score rate of the Nth test and the ideal score rate of the Nth test as the judgment result of the Nth test;

Wherein, N is a natural number greater than or equal to 1.

These three judgment methods all take into account the test results before the Nth test and the impact of time, and make a comprehensive judgment on the test results of the Nth test.

Similarly, all students in a group, such as a class or a grade, can also be expected to judge the first knowledge point to obtain the judgment result of the group's learning ability. By comparing the judgment results of the group's learning ability at different time points, the change of the group's learning ability during this period is reflected. By comparing the judgment results of the learning abilities of different groups at the same time point, the differences in the learning abilities of different groups can be obtained.

The learning ability determination method provided in this embodiment can be used to comprehensively determine the learning ability of multiple students. It can not only determine the learning ability of one or more students from the time dimension, but also can determine the learning ability of one or more students within the same time dimension. Compare and judge the learning effects of different students or groups.

Example 4:

This embodiment provides a process of judging the learning effects of two knowledge points in three exams for students, and Table 1 shows the scores of students in three exams.

Under the condition that the preset time is 2 years, 3 exams within the 2 years are selected, and the learning effects of the first knowledge point and the second knowledge point are judged for a single student in these 3 exams.

Calculate the test result F ₁ of the first knowledge point in the first test on June 20, 2015.

Calculate the first ratio of the test question A1 with the first knowledge point in the first test, using the formula The first ratio for question A1 is The first ratio of test item A3 is 1.

Calculate the second ratio of the test question A1 with the first knowledge point in the first test, using the formula The second ratio for question A1 is The second ratio for test item A3 is 1.67.

Table 1

Calculation formula for calculating the scoring rate of the first knowledge point based on the test questions with the first knowledge point in the first exam The obtained score rate S _n of the first knowledge point of the test item is equal to the sum of the second ratios of the test item A1 and the test item A3. In the test questions of the first test, the scoring rate of the first knowledge point is S ₁ =1.6+1.67=3.27.

Calculate the ideal score rate of the test questions with the first knowledge point in the first test, according to the formula The ideal scoring rate of the test questions with the first knowledge point is the sum of the reciprocals of the difficulty coefficients of test question A1 and test question A3,

The judgment result of the first knowledge point of the first exam, according to the calculation formula is The judgment result of the first knowledge point in the first test is

Calculate the test result F ₂ of the first knowledge point in the second test on June 21, 2015.

Calculate the first ratio and the second ratio of the test questions of the second knowledge point in the second exam according to the method of calculating the first ratio and the second ratio in the first exam.

In the second exam, the first ratios of the test questions B1 and B3 with the first knowledge point were 0.7 and 0.67 respectively, and the second ratios of the test questions B1 and B3 were 1.167 and 0.957 respectively.

Calculation formula for calculating the score rate of the first knowledge point of the test questions with the first knowledge point in the second exam According to the formula for calculating the scoring rate of the first knowledge point with the first knowledge point in the second exam In the second test, the scoring rate of the first knowledge point S ₂ =3.27×0.998+1.167+0.957, and in the second test, the scoring rate of the first knowledge point S ₂ =5.39. Wherein, among the correction factors, the default factor is 0.998. Time is calculated in days.

Calculate the ideal score rate of the test questions with the first knowledge point in the second test, according to the formula The ideal score rate of the test questions with the first knowledge point is the sum of the product of the ideal score rate of the first test and the second correction factor and the reciprocal of the difficulty coefficients of test questions B1 and test question B3, which is Therefore, in the second test, the ideal score rate L ₂ for the test questions with the first knowledge point is 6.76.

The judgment result of the first knowledge point in the second exam, according to the calculation formula is The judgment result of the first knowledge point in the first test is

Calculate the test result F ₃ of the first knowledge point in the third test on June 23, 2015.

In the third test, the first ratios of test item C2 and test item C3 with the first knowledge point are 0.25 and 0.294 respectively, and the second ratios of test item C2 and test item C3 are 0.83 and 0.735 respectively.

In the third test, the score rate of the first knowledge point of the test questions with the first knowledge point S ₃ =5.39×0.998 ² +0.83+0.735, in the third test, the scoring rate of the first knowledge point S ₃ =6.93.

In the third test, the ideal score rate of the test questions with the first knowledge point $L_3=L_2\&times;{0.998}^2+\underset{i=1}{\overset{j}{\&Sigma;}}\frac{1}{p_{3,i}},$ which is $L_3=6.76\&times;{0.998}^2+\frac{1}{0.3}+\frac{1}{0.4},$ Therefore, in the third test, the ideal score rate L ₃ for the test questions with the first knowledge point is 12.56.

The judgment result of the first knowledge point of the third test, according to the calculation formula is The judgment result of the first knowledge point in the first test is

The calculated test time is July 23, 2015 in the fourth test, the judgment result of the first knowledge point F ₄ .

In the fourth test, the first ratios of test questions D1 and test questions D2 with the first knowledge point were 0.25 and 0.294 respectively, and the second ratios of test question D1 and test question D2 were 0.83 and 0.735 respectively.

In the 4th exam, the score rate of the first knowledge point of the test questions with the first knowledge point S ₄ =6.93×0.998 ³⁰ +0.83+0.735. In the fourth test, the scoring rate of the first knowledge point S ₄ =8.09.

Ideal scoring rate for questions with the first knowledge point in the 4th exam $L_4=L_3\&times;{0.998}^{30}+\underset{i=1}{\overset{j}{\&Sigma;}}\frac{1}{p_{4,i}},$ which is $L_4=12.56\&times;{0.998}^{30}+\frac{1}{0.3}+\frac{1}{0.4},$ Therefore, in the fourth test, the ideal score rate L ₄ of the test questions with the first knowledge point is 17.66.

The judgment result of the first knowledge point of the 4th exam, according to the calculation formula is The judgment result of the first knowledge point in the first test is

Comparing the judgment results F ₁ , F ₂ and F ₃ of the first knowledge point in the previous three exams, it can be seen that the learning ability of the individual on the first knowledge point decreases in turn. The ability to learn is getting weaker and weaker.

Comparing the judgment results of the first knowledge point in the third exam and the judgment results of the first knowledge point in the fourth exam, we can see that the total scores of the questions with the first knowledge point are the same in the third exam and the fourth exam , the students scored the same. However, the evaluation result of the fourth test is smaller than that of the third test, mainly because the time interval between the third test and the second test is short, and students forget less about the knowledge point, which is manifested as a lack of awareness of the knowledge point. A good degree of mastery or a strong learning ability. The time interval between the 4th exam and the 3rd exam is long, and students forget more about the knowledge points, which is manifested as poor learning ability of the knowledge points.

In this judgment result, a larger value of the judgment result indicates that the learning ability of the student is stronger. It can be understood that, in the calculation process, if the time interval between two exams is longer and the value of the correction factor is smaller, the influence of the last exam in the obtained determination result will be smaller. This is mainly to consider that the longer the time interval, the more students forget the knowledge points in the previous exam, and the corresponding last exam will have less impact on the judgment result of this exam.

Example 5:

Fig. 2 is a structural block diagram of the learning ability judging system provided in this embodiment, referring to Fig. 2, the learning ability judging system includes:

A1 The first acquisition module is used to acquire the score, total score and difficulty coefficient of each test question with the first knowledge point in the Nth test;

A2 The first calculation module is used to calculate the first ratio of the score of each test question to the total score, and the second ratio of the first ratio to the difficulty coefficient;

A3 The second calculation module is used to calculate the sum of the scoring rate of the first knowledge point of the N-1 exam and all second ratios as the scoring rate of the first knowledge point of the Nth exam;

A4 The third calculation module is used to calculate the ideal score rate of the first knowledge point of the N-1 test and the sum of the reciprocal of the difficulty coefficient of each test question as the ideal score rate of the first knowledge point of the N test;

A5 The fourth calculation module is used to calculate the ratio between the first knowledge point scoring rate of the Nth examination and the ideal scoring rate of the first knowledge point of the Nth examination, as the Nth examination The judgment result of a knowledge point;

Wherein, N is a natural number greater than or equal to 1.

The learning ability judging method provided by the present invention aims at the learning effect of a student on a certain knowledge point, and comprehensively considers the influence of the student's mastery of the knowledge point and the time factor in the test before the test, so that the evaluation result is more accurate and accurate. comprehensive.

The learning ability judging method provided by the present invention aims at the learning effect of a student on a certain knowledge point, and comprehensively considers the influence of the student's mastery of the knowledge point and the time factor in the test before the test, so that the evaluation result is more accurate and accurate. comprehensive.

The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and changes. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included within the protection scope of the present invention.

Claims (10)

1. one kind based on time dimension degree and the similar learning capacity decision method comparing dimension degree, it is characterised in that, comprising:

S1: obtain in the N time examination, there is the score of each examination question of the first knowledge point, total score and degree-of-difficulty factor;

S2: calculate the score of described each examination question and the first ratio of total score, and the 2nd ratio of described first ratio and described degree-of-difficulty factor;

S3: calculate the N-1 time knowledge point number one in the examination scoring rate and all 2nd ratio sums the first knowledge point scoring rate as the N time examination;

S4: the first knowledge point desirable scoring rate of sum reciprocal as the N time examination calculating the desirable scoring rate in the first knowledge point of the N-1 time examination and the degree-of-difficulty factor of described each examination question;

S5: calculate the ratio between the first knowledge point scoring rate of described the N time examination and the desirable scoring rate in the first knowledge point of described the N time examination, using the result of determination of the first knowledge point as the N time examination;

Wherein, N be more than or equal to 1 natural number.

2. according to claim 1 based on time dimension degree and the similar learning capacity decision method comparing dimension degree, it is characterised in that, described step S3, comprising:

S31: the first knowledge point scoring rate calculating described the N-1 time examination and the modifying factor taken an examination for the N time are long-pending, scoring rate is revised using the first knowledge point as the N-1 time examination, wherein, the N-1 time examination is more long apart from the time of described the N time examination, and the value of the modifying factor of described the N time examination is more little;

S32: scoring rate and all 2nd ratio sums are revised in the first knowledge point of described the N-1 time examination, as the first knowledge point scoring rate of the N time examination.

3. according to claim 2 based on time dimension degree and the similar learning capacity decision method comparing dimension degree, it is characterised in that, described step S4, comprising:

S41: the desirable scoring rate in the first knowledge point obtaining described the N-1 time examination and the modifying factor taken an examination for described the N time are long-pending, revise desirable scoring rate using the first knowledge point as the N-1 time examination;

S42: the sum reciprocal of degree-of-difficulty factor that the first knowledge point of described the N-1 time examination is revised desirable scoring rate and described each examination question is as the N time desirable scoring rate in knowledge point number one in the examination.

4. according to Claims 2 or 3 based on time dimension degree and the similar learning capacity decision method comparing dimension degree, it is characterised in that, the calculation formula of described the N time modifying factor is as follows:

$M_n=m^{T_n-T_{n-1}}$

Wherein, M_nBeing the N time modifying factor, m is setting factor beforehand, T_nIt is the time of the N time examination, T_n-1It it is the time of the N-1 time examination.

5. according to claim 1 based on time dimension degree and the similar learning capacity decision method comparing dimension degree, it is characterised in that, comprising:

S6: the result of determination of expectation as the N time examination calculating the result of determination of all knowledge points in described the N time examination.

6. a study judges system based on time dimension degree and the similar learning capacity comparing dimension degree, it is characterised in that, comprising:

First acquisition module, for obtaining in the N time examination, has the score of each examination question of the first knowledge point, total score and degree-of-difficulty factor;

First calculating module, for the first ratio of the score and total score that calculate described each examination question, and the 2nd ratio of described first ratio and described degree-of-difficulty factor;

2nd calculating module, for calculating the first knowledge point scoring rate that the N-1 time knowledge point number one in the examination scoring rate and all 2nd ratio sums are taken an examination as the N time;

3rd calculating module, for calculating the first knowledge point desirable scoring rate of sum reciprocal as the N time examination of the degree-of-difficulty factor of the desirable scoring rate in the first knowledge point and the described each examination question taken an examination for the N-1 time;

4th calculating module, for the ratio calculated between the first knowledge point scoring rate of described the N time examination and the desirable scoring rate in the first knowledge point of described the N time examination, using the result of determination of the first knowledge point as the N time examination;

Wherein, N be more than or equal to 1 natural number.

7. according to claim 6 based on time dimension degree and the similar learning capacity judgement system comparing dimension degree, it is characterised in that, described 2nd calculating module also comprises:

First calculating unit, modifying factor for the first knowledge point scoring rate and the N time examination that calculate described the N-1 time examination is long-pending, scoring rate is revised using the first knowledge point as the N-1 time examination, wherein, the N-1 time examination is more long apart from the time of described the N time examination, and the value of the modifying factor of described the N time examination is more little;

2nd calculating unit, for revising scoring rate and all 2nd ratio sums by the first knowledge point of described the N-1 time examination, using the first knowledge point scoring rate as the N time examination.

8. according to claim 7 based on time dimension degree and the similar learning capacity judgement system comparing dimension degree, it is characterised in that, described 3rd calculating module also comprises:

3rd calculating unit, long-pending for the desirable scoring rate in the first knowledge point and described the N time modifying factor obtaining described the N-1 time examination, revise desirable scoring rate using the first knowledge point as the N-1 time examination;

4th calculating unit, for the first knowledge point of described the N-1 time examination is revised the degree-of-difficulty factor of desirable scoring rate and described each examination question sum reciprocal as the N time knowledge point number one in the examination ideal scoring rate.

9. according to claim 7 or 8, judge system based on time dimension degree and the similar learning capacity comparing dimension degree, it is characterised in that, the calculation formula of described the N time modifying factor is as follows:

$M_n=m^{T_n-T_{n-1}}$

Wherein, M_nBeing the N time modifying factor, m is setting factor beforehand, T_nIt is the time of the N time examination, T_n-1It it is the time of the N-1 time examination.

10. according to claim 6 based on time dimension degree and the similar learning capacity judgement system comparing dimension degree, it is characterised in that, also comprise:

5th calculating module, for calculating the result of determination of expectation as the N time examination of the result of determination of all knowledge points in described the N time examination.