小学校算数科における一次式の乗法の素地指導に関する研究 : 帯分数同士の乗法と図的表現との関連付けを通して

A Study on the Teaching of the Multiplication of Linear Expressions in Elementary School Mathematics: The Association between Multiplication of Mixed Fractions and Graphical Representation

IWAMOTO Takahiro

Matsuura Taketo

教職開発研究

Journal of Professional Development for Teachers and School Leaders

[PISSN] 2433-8664

[NCID] AA12860624

The purpose of this study is to design, practice, and verify a lesson that will lead to the foundation of multiplication between linear expressions in the learning of multiplication between mixed fractions in the sixth grade of elementary school, and to obtain suggestions for learning instruction. For this purpose, this paper organizes and examines relevant literature and previous studies, and conceives a lesson that encourages students to relate the four-square area diagram to equations, numbers, and words. The performance of the children before and after the class was evaluated using a rubric. A significant difference was found in the test of the difference in the percentage of children who achieved the pre- and post-assessment criteria, indicating that the conceived lesson was effective in preparing students for the multiplication of linear expressions.

Linear expression

Multiplication between mixed fractions

Distributive law

Graphical representation

一次式の乗法

帯分数同士の乗法

分配法則

図的表現

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広島大学大学院人間社会科学研究科教職開発専攻

Copyright (c) 2022 教職開発専攻

[ISSN] 2433-8664

[NCID] AA12860624