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Article

전자저널 논문

2018; 28(3): 345-365

Published online August 31, 2018 https://doi.org/10.29275/jerm.2018.08.28.3.345

Copyright © Korea Society of Education Studies in Mathematics.

A Case Study on the Changes in the Levels of Arithmetical Thinking and Transition to Algebraic Thinking of a 7th Grader who was an Underachiever in Number and Operation

수와 연산 영역에서 부진을 경험한 중학생의 산술적 사고 수준 변화 및 대수적 사고로의 이행에 관한 사례 연구

임미인, 장혜원

Abstract

Arithmetic and algebra are considered to be the most basic and core contents in school mathematics. However, many students in elementary and middle school have difficulties in arithmetic and algebra learning, and immense studies have been carried out in the field of mathematics education to solve these problems. The present study is a follow-up study which was conducted following the previous study conducted on a student who had difficulties in number and operation domain. This study investigated the manner in which the level of arithmetical thinking changed and how the transition from arithmetical thinking to algebraic thinking occurred after that student spent a year studying mathematics in middle school. Based on the results of the analysis, we suggest several implications for teaching and learning of number and operation domain at elementary and middle school in terms of the development of arithmetical thinking.

Keywords산술적 사고,산술적 사고 수준,대수적 사고,수와 연산,부진 학생,arithmetical thinking,the levels of arithmetical thinking,algebraic thinking,number and operation,underachiever