NGHIÊN CỨU SAI LẦM CỦA HỌC SINH KHI GIẢI BÀI TOÁN CHIA HẾT VÀ CHIA ĐA THỨC TỪ CÁCH TIẾP CẬN CỦA “HỢP ĐỒNG DẠY HỌC”

Abstract

In this article, we use the concept of “didactic contract” introduced by Guy Brousseau in 1980 as a tool to analyse students’ mistakes.

From the analysis of Math textbooks and exercises for Grade 8 volumes 1, this article proposes two rules of “didactic contract” related to solving division and polynomial division problems: design situations to verify “didactic contract” and conduct an experiment.

The research results show that many students commit mistake of solving these problems, which derived from the “didactic contract” approach:  

“When students solve problems proving that A(n) (n is a natural number or an integer) is divisible by a natural number other than 0 and 1, students commit a mistake by not considering the condition of variable n depends on new variables” and “Students’ mistake in thinking that the quotient of a polynomial division of a variable with an integer coefficient is a polynomial with an integer coefficient”.