A Teaching Method of “even/odd, multiple” Based on the Connection with “the proof of character Expression” in Elementary School Arithmetic: From the Perspective of Developing “the ability to transform a mathematical formula according to purpose”

Abstract

The purpose of this paper is to improve understanding of “the proof of character expression”, which is a problem in junior high school mathematics departments through the training of “the ability to transform the formula according to its purpose” in elementary school arithmetic. As a method for that purpose, we will show how to develop that ability in the “even/odd, multiple” learning guidance.

In order to achieve this purpose, we have developed and conducted a survey to understand the actual conditions of children regarding their “the ability to transform a mathematical formula according to its purpose”. Then, based on the childrens’ actual situation obtained, we proposed five points regarding “even/odd, multiple” learning guidance that develops “the ability to transform the mathematical formula according to its purpose”.