JP3161853U - Math learning notebook paper - Google Patents

Math learning notebook paper Download PDF

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JP3161853U
JP3161853U JP2010003677U JP2010003677U JP3161853U JP 3161853 U JP3161853 U JP 3161853U JP 2010003677 U JP2010003677 U JP 2010003677U JP 2010003677 U JP2010003677 U JP 2010003677U JP 3161853 U JP3161853 U JP 3161853U
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ruled line
calculation
horizontal ruled
horizontal
paper
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晃 纐纈
晃 纐纈
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晃 纐纈
晃 纐纈
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Abstract

【課題】使用者(主に中学・高校生)が、数学等の理数系科目の合理的な学習のため、計算のプロセスを確認しながら数式を記述することができ、さらに、2次元グラフを描く場合の作業の軽減化を同時に満たす用紙を提供する。【解決手段】用紙は、横罫線ノートにおいて、縦罫線3によって数式記述欄と計算欄に左右分割される。また、2次元グラフの描画の目安となる座標として使用するため、横罫線の目盛り2を横罫線上に設けることを特徴とする。【選択図】図1[PROBLEMS] A user (mainly junior high school / high school student) can describe mathematical formulas while checking the calculation process for rational learning of mathematics and other mathematical subjects, and draw a two-dimensional graph. Providing paper that satisfies the reduction of work at the same time. In a horizontal ruled line note, a sheet is divided into left and right by a vertical ruled line into a formula description field and a calculation field. Further, in order to use it as a coordinate for drawing a two-dimensional graph, the horizontal ruled line scale 2 is provided on the horizontal ruled line. [Selection] Figure 1

Description

本考案は、使用者(主に中学・高校生)が数学等の理数系科目の合理的な学習を容易にするためのノート用紙のデザインに関する。       The present invention relates to a notebook paper design that facilitates rational learning of mathematics and other mathematical subjects by users (mainly junior and senior high school students).

一般に、冊子状に綴じられたノートやルーズリーフのリフィルなどに使用される用紙(ノート用紙)として、従来より非特許文献1で知られているような横罫線が印刷されているものが知られている。
URL;http://www.kokuyo-st.co.jp/stationery/campus/(商品カタログ)
In general, as paper (note paper) used for booklet-like notebooks or loose-leaf refills, a sheet with horizontal ruled lines as conventionally known in Non-Patent Document 1 is known. Yes.
URL; http: //www.kokuyo-st.co.jp/stationery/campus/ (product catalog)

数学の問題を解くために数式をノートに書く際、計算を別の計算用紙で行うケースが多く、その場合は計算用紙の計算結果の値をノートの数式に転記しなければならなかった。       When writing mathematical formulas in notebooks to solve mathematical problems, the calculation is often performed on a separate calculation sheet, and in that case, the value of the calculation result on the calculation sheet must be transferred to the notebook formula.

このため、数式を立てるまでに至る計算の過程が分かりにくく、解答を間違えたときには、どこで計算を誤ったのかを見つける事が難しかった。又、計算用紙と数式の書かれたノートが別々のため、数式の立て方が理解しにくい面があった。       For this reason, the calculation process leading to formulating is difficult to understand, and it was difficult to find where the calculation was wrong when the answer was wrong. In addition, since the calculation sheet and the notebook on which the mathematical formula is written are different, it is difficult to understand how to formulate the mathematical formula.

本考案は、上記の事情に基づいてなされたものであり、使用者が計算のプロセスを確認しながら数式を記述する用紙を提供することを目的とする。       The present invention has been made based on the above circumstances, and an object of the present invention is to provide a sheet on which a user can write a mathematical expression while confirming a calculation process.

また数式と一緒に放物線等の2次元グラフを書く際、X軸Y軸及び頂点の座標を書き込む煩雑さがあり、これらの作業の軽減化を同時に満たすものとする。       Further, when writing a two-dimensional graph such as a parabola together with a mathematical formula, there is a trouble of writing the coordinates of the X axis, the Y axis, and the vertex, and the reduction of these operations is satisfied at the same time.

前記目的を達成するため、本考案のノート用紙は、通常の横罫線のノート用紙の右端から横罫線全体の100分の30以上かつ100分の35以下(概ね右から3分の1)の位置に縦罫線を1本印刷するものとする。       In order to achieve the above object, the notebook paper of the present invention is located at a position that is 30/100 and 35/100 or less (generally 1/3 from the right) of the entire horizontal ruled line from the right edge of the normal horizontal ruled note paper. A single vertical ruled line shall be printed.

さらに横罫線には横罫線の間隔と同一幅の目盛りを設ける。この時、上記縦罫線はその目盛りのうちひとつと交差する位置にあるものとする。数式筆記の際の視認性確保ため、目盛りの垂直方向への高さは横罫線の間隔の8分の1以下とする。       Further, the horizontal ruled line is provided with a scale having the same width as the interval of the horizontal ruled line. At this time, the vertical ruled line is assumed to be at a position intersecting with one of the scales. In order to ensure visibility when writing mathematical formulas, the vertical height of the scale is set to 1/8 or less of the interval between the horizontal ruled lines.

本ノート用紙を使用する場合に、縦罫線の左側を数式記述欄とし、右側を計算欄とする。すなわち、上記の縦罫線の左側(横幅全体の概ね3分の2)の箇所に数式を書き、縦罫線の右側(横幅全体の概ね3分の1)の箇所を計算用紙として使用する。中学・高校生が行う数学の学習においては、上記の数式記述欄と計算欄のバランス(概ね2対1)が最良なためである。       When this notebook paper is used, the left side of the vertical ruled line is used as an expression description field, and the right side is used as a calculation field. That is, a mathematical expression is written at the left side of the vertical ruled line (approximately two thirds of the entire horizontal width), and the right side of the vertical ruled line (approximately one third of the entire horizontal width) is used as calculation paper. This is because the balance between the mathematical expression description column and the calculation column (approximately 2 to 1) is the best in mathematics learning performed by junior high and high school students.

放物線等の2次元グラフを描く場合、縦罫線と横罫線の交点のいずれか適当な位置あるものをグラフの原点とし、他の交点及び横罫線の目盛りをグラフの座標として使用する。       When a two-dimensional graph such as a parabola is drawn, the intersection of the vertical ruled line and the horizontal ruled line at an appropriate position is used as the origin of the graph, and the other intersection and the scale of the horizontal ruled line are used as the coordinates of the graph.

本考案の用紙によれば、数式を記述する際、別の計算用紙を用いることなく、縦罫線右側の計算欄で計算を行うため、その数式を立てる基となった計算の経過が分かりやすく、数式の意味が理解しやすい。       According to the paper of the present invention, when describing a mathematical formula, calculation is performed in the calculation field on the right side of the vertical ruled line without using another calculation paper, so that the progress of the calculation on which the mathematical formula is based is easy to understand, The meaning of the formula is easy to understand.

解答を間違えた場合でも、計算過程が残るため、どこで計算を誤ったのかが分りやすく、数式の訂正が容易である。       Even if the answer is wrong, the calculation process remains, so it is easy to know where the calculation was wrong, and it is easy to correct the mathematical expression.

さらに、右側の計算欄には計算以外にも解法の糸口となるポイントを書き込むこともできるため、解法に至るまでの考え方や数式の立て方を理解しやすくなり、それを記憶する点においても有効となる。       In addition to the calculation, you can write points that will be the starting point of the solution in the calculation column on the right side, which makes it easier to understand the concept and formulating method up to the solution, and is also effective in memorizing it. It becomes.

グラフ描画時に、縦罫線と横罫線の交点を原点とし、他の交点及び横罫線の目盛りを頂点の座標として使用する事で、グラフの描画を容易に行うことができる。       When the graph is drawn, the intersection of the vertical ruled line and the horizontal ruled line is used as the origin, and the scale of the other intersection and the horizontal ruled line is used as the coordinates of the vertex, so that the graph can be drawn easily.

本考案に係わるノート用紙の実施形態を以下に示す。図2(a)は、数式を記述する際、別の計算用紙を用いることなく、縦罫線右側の計算欄で計算を行った一例を示す図である。計算の過程が一目瞭然であり、解答が誤っている場合でも、計算を誤った箇所を見つけやすく、訂正が容易である。       Embodiments of notebook paper according to the present invention are shown below. FIG. 2A is a diagram illustrating an example in which the calculation is performed in the calculation column on the right side of the vertical ruled line without using another calculation sheet when describing the mathematical expression. The calculation process is self-explanatory, and even if the answer is wrong, it is easy to find the wrong place in the calculation and correction is easy.

図2(b)は、数式を記述する際、縦罫線右側の計算欄に解法のポイントを書き込こみながら計算を行い、解答した一例を示す図である。解答を導くまでの数式の立て方が理解しやすく、それを記憶する点においても有効である。       FIG. 2B is a diagram showing an example in which the calculation is performed while writing the points of the solution in the calculation column on the right side of the vertical ruled line when the mathematical expression is described. It is easy to understand how to formulate the formula until the answer is derived, and it is also effective in memorizing it.

図2(c)は、グラフを描画しながら解答する際、縦罫線と横罫線の交点を原点とし、他の交点及び横罫線の目盛りを座標として使用した一例を示す図である。       FIG. 2C is a diagram showing an example in which the answer is made while drawing the graph, using the intersection of the vertical ruled line and the horizontal ruled line as the origin, and using the other intersection and the scale of the horizontal ruled line as the coordinates.

さらに図2(d)では、グラフを描画しながら解答をする他に、右側の計算欄に横罫線の目盛りを利用して増減表を作成した一例を示す図である。グラフだけでなく、その描画のもととなる増減表の値についても、罫線の目盛りを活用することで容易に記述することができる。       Further, FIG. 2D is a diagram showing an example in which an increase / decrease table is created using a scale of a horizontal ruled line in the calculation column on the right side in addition to answering while drawing a graph. Not only the graph, but also the value of the increase / decrease table that is the basis of the drawing can be easily described by using the ruled line scale.

本考案によるノート用紙を示す図である。It is a figure which shows the note paper by this invention. (a)、(b)、(c)、(d)は図1の使用例を示す図である。(A), (b), (c), (d) is a figure which shows the usage example of FIG. 本考案によるノート用紙の縦罫線部分の拡大図である。It is an enlarged view of the vertical ruled line part of the notebook paper by this invention.

1,横罫線
2,横罫線の目盛り
3,縦罫線
1, horizontal ruled line 2, scale of horizontal ruled line 3, vertical ruled line

Claims (2)

通常の横罫線のノート用紙の右端から横罫線全体の100分の30以上かつ100分の35以下(概ね右から3分の1)の位置に縦罫線を1本印刷したノート用紙。       A notebook paper on which one vertical ruled line is printed at a position of 30/100 or more and 35/100 or less (generally 1/3 from the right) of the entire horizontal ruled line from the right edge of the normal horizontal ruled line notebook paper. 横罫線には横罫線の間隔と同一幅の目盛りを設け、請求項1の縦罫線はその目盛りのうちひとつと交差する位置にあるノート用紙。       2. The notebook paper in which the horizontal ruled line is provided with a scale having the same width as the interval of the horizontal ruled line, and the vertical ruled line of claim 1 is located at a position intersecting one of the scales.
JP2010003677U 2010-05-31 2010-05-31 Math learning notebook paper Expired - Fee Related JP3161853U (en)

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