학술논문
Proof in Mathematics Education, 1980-2020: An Overview
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- 영문명
- 발행기관
- 대한수학교육학회
- 저자명
- Gila Hanna Christine Knipping
- 간행물 정보
- 『수학교육학연구』제30권 특별호, 1~13쪽, 전체 13쪽
- 주제분류
- 사회과학 > 교육학
- 파일형태
- 발행일자
- 2020.08.31
4,360원
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국문 초록
영문 초록
This paper looks at the evolution of ideas on the role of proof in mathematics education from 1980 to 2020, examining in particular the contributions of both theoretical and empirical research to the teaching of mathematical proof. In so doing, it describes some of the major epistemological themes that emerged in the last forty years, primarily in the philosophy of mathematics and in mathematical education, and informed both the mathematics curriculum and research in mathematics education. The paper also discusses selected research studies that shed light on the opportunities and limitations students face when they engage in proof. Finally, it describes briefly a number of developments in proof technology and the potential of automated theorem provers for enhancing the teaching of proof.
목차
해당간행물 수록 논문
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- Demystifying Proofs Through Structured Interaction: A Case Study of One Instructor’s Teaching in an Undergraduate Analysis Course
- Supporting Students’ Argumentation Structure Construction using Indeterminacy of Diagram
- Teaching to Listen, Question, and Ponder: An Investigation into Promoting an Enquiring Atmosphere in a Mathematics Classroom
- Proof in Mathematics Education, 1980-2020: An Overview
- Middle-Grade Teachers’ Reasoning with Fraction Division Tasks
- Are Teachers Amenable to Increasing Students’ Scope of Work in Doing Proofs? Estimating Teachers’ Decision-Making Using a Diagnostic Classification Model
- Teachers’ Views about the Role of Examples in Proving-related Activities
- An Analysis of Fifth and Sixth Graders’ Algebraic Thinking about Reverse Fraction Problems
- Learning to Solve Counting Problems: Challenges and Opportunities for Non-Math Majors
- A Model for Teaching Mathematical Argument at the Elementary Grades
- Introduction
- Exploring Mathematical Reasoning of Elementary Preservice Teachers
- Korean Teachers’ Mathematical Knowledge for Teaching in Algebraic Reasoning
참고문헌
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