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Panorkou, Nicole; Germia, Erell – For the Learning of Mathematics, 2023
In this article, we address a call by Thompson and Carlson to directly contribute to defining the variation of students' reasoning about varying quantities. We show that students as young as in sixth grade can engage in complex forms of reasoning about multiple quantities in contexts that involve exploring science phenomena using interactive…
Descriptors: Elementary School Students, Grade 6, Mathematics Skills, Thinking Skills
Resnick, Ilyse; Newcombe, Nora; Goldwater, Micah – Journal of Numerical Cognition, 2023
There is strong evidence from research conducted in the United States that fraction magnitude understanding supports mathematics achievement. Unfortunately, there has been little research that examines if this relation is present across educational contexts with different approaches to teaching fractions. The current study compared fourth and…
Descriptors: Elementary School Students, Grade 4, Grade 6, Mathematics Skills
Buchbinder, Orly; McCrone, Sharon – ZDM: Mathematics Education, 2023
Mathematics teacher education programs in the United States are charged with preparing prospective secondary teachers (PSTs) to teach reasoning and proving across grade levels and mathematical topics. Although most programs require a course on proof, PSTs often perceive it as disconnected from their future classroom practice. Our design research…
Descriptors: Preservice Teachers, Secondary Education, Mathematics Instruction, Thinking Skills
Gifford, Julian D.; Finkelstein, Noah D. – Physical Review Physics Education Research, 2020
We present a framework designed to help categorize various sense making moves, allowing for greater specificity in describing and understanding student reasoning and also in the development of curriculum to support this reasoning. The framework disaggregates between the mechanisms of student reasoning (the cognitive "tool" that they are…
Descriptors: Mathematics Skills, Problem Solving, Physics, Thinking Skills
Ozmantar, Mehmet Fatih; Monaghan, John – Mathematics Education Research Journal, 2007
This paper is structured in two sections. The first examines views of mathematical abstraction in two broad categories: empiricist and dialectical accounts. It documents the difficulties involved in and explores the potentialities of both accounts. Then it outlines a recent model which takes a dialectical materialist approach to abstraction in…
Descriptors: Tutors, Abstract Reasoning, Student Development, Models
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
This document is the fourth volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 42 research reports by presenters with last names beginning between Mul and Wu:…
Descriptors: Conference Papers, Motion, Mathematics Teachers, Self Efficacy