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## 전자저널 논문

2020; 30(2): 307-328

Published online May 31, 2020 https://doi.org/10.29275/jerm.2020.05.30.2.307

## (두 자리 수)×(두 자리 수)의 계산 원리에 대한 초등학교 3학년 학생들의 이해 분석: 직사각형 배열 모델을 중심으로

Sunwoo Jin

*Teacher, YoungDuk Elementary School, South Korea, camy17@naver.com

*영덕초등학교 교사

Correspondence to:1) 본 연구 결과의 일부는 2019 수학교육관련학회 연합국제학술대회(2019.12.13.~12.15.)에서 발표하였음.

Received: April 7, 2020; Revised: May 7, 2020; Accepted: May 13, 2020

### Abstract

Along with the significance of distributive property playing a fundamental role in providing explanations for multi-digit multiplication of whole numbers, the array model has been widely used to teach distributive property effectively. Given this, the purpose of this study was to investigate how third graders could understand multiplication in (two digits) × (two digits) and how their understanding could be expanded and applied to algebraic ideas after being taught reconstructed units of multiplication using the array model. The results of this study showed that most students represented the principle of computation between two-digit number and two-digit number using the array model as well as reasoned which picture represented the product of two numbers. Also, the participating students successfully applied the principle to the computation between three-digit number and two-digit number, and some students represented the product of two numbers by using variables (e.g., □, △). This paper concludes with some implications on how to teach multiplication of whole numbers in elementary mathematics.

Keywordscomputation between two-digit and two-digit number, distributive property, array model, generalization

### Vol.32 No.2 2020-05-31

pISSN 2288-7733
eISSN 2288-8357

Frequency : Quarterly