A Model for Teaching Mathematical Argument at the Elementary Grades

• 발행기관: 대한수학교육학회
• 저자명: Deborah Schifter Susan Jo Russell
• 간행물 정보: 『수학교육학연구』제30권 특별호, 15~28쪽, 전체 14쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2020.08.31

영문 초록

Over years of collaborating with elementary-school teachers to research students’ thinking about the “big ideas” of K-6 mathematics, particular attention was given to generalizations about the operations—addition, subtraction, multiplication, and division—and arguments that explain why these generalizations are true. Through this work, we created a model of five phases that separate different points of focus in the complex process of formulating and proving such generalizations: 1) noticing patterns, 2) articulating conjectures, 3) representing with specific examples, 4) creating representation-based arguments, and 5) comparing and contrasting operations. In this paper, we illustrate the phases with classroom examples as students investigate a set of generalizations. We then present assessment results from classrooms of project teachers who engaged their students in this content.

키워드

Argument Generalization Conjecture Representation Operations