NotesFAQContact Us
Collection
Advanced
Search Tips
Showing all 3 results Save | Export
How Mathematicians Determine if an Argument Is a Valid Proof
Peer reviewed Peer reviewed
Direct linkDirect link
Weber, Keith – Journal for Research in Mathematics Education, 2008
The purpose of this article is to investigate the mathematical practice of proof validation--that is, the act of determining whether an argument constitutes a valid proof. The results of a study with 8 mathematicians are reported. The mathematicians were observed as they read purported mathematical proofs and made judgments about their validity;…
Descriptors: Mathematical Logic, Validity, Mathematics, Professional Personnel
Key Ideas and Insights in the Context of Three High School Geometry Proofs
Peer reviewed Peer reviewed
Direct linkDirect link
Raman, Manya; Weber, Keith – Mathematics Teacher, 2006
This article describes how the concept of "key idea" can be used in high school geometry to connect students' informal explorations with rigorous mathematical proof. (Contains 6 figures.)
Descriptors: Geometry, Mathematical Logic, Validity, Mathematics Instruction
A Framework for Describing the Processes that Undergraduates Use to Construct Proofs
PDF on ERIC Download full text
Weber, Keith – International Group for the Psychology of Mathematics Education, 2004
The purpose of this paper is to offer a framework for categorizing and describing the different types of processes that undergraduates use to construct proofs. Based on 176 observations of undergraduates constructing proofs collected over several studies, I describe three qualitatively different ways that undergraduates use to construct proofs. In…
Descriptors: Undergraduate Students, Cognitive Processes, Mathematics Skills, College Mathematics