Algebra Structure Sense Development amongst Diverse Learners
Theoretical and Empirical Insights to Support In-Person and Remote Learning
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Book Description
This volume emphasizes the role of effective curriculum design, teaching materials, and pedagogy to foster algebra structure sense at different educational levels.
Positing algebra structure sense as fundamental to developing students’ broader mathematical maturity and advanced thinking, this text reviews conceptual, historical, cognitive, and semiotic factors, which influence the acquisition of algebra structure sense. It provides empirical evidence to demonstrate the feasibility of linking algebra structure sense to technological tools and promoting it amongst diverse learners. Didactic approaches include the use of adaptive digital environments, gamification, diagnostic and monitoring tools, as well as exercises and algebraic sequences of varied complexity.
Advocating for a focus on both intuitive and formal knowledge, this volume will be of interest to students, scholars, and researchers with an interest in educational research, as well as mathematics education and numeracy.
Table of Contents
List of Contributors
Foreword
David Kirshner
Chapter 1
Algebra Structure Sense: Conceptual Approaches and Elements for Its Development
Teresa Rojano
Chapter 2
Ideas of Structure in the History of Algebra and Its Teaching
Luis Puig
Chapter 3
Structure Sense at Early Ages: The Case of Equivalence of Numerical Expressions and Equalities
Carolyn Kieran & César Martínez-Hernández
Chapter 4
Developing Structure Sense with Digital Technologies: Introducing the MEx Platform
Valentina Muñoz-Porras & Ulises Xolocotzin
Chapter 5
Transformational Algebra, Structure Sense, and Notes on a Semiotic Interpretation
Armando Solares-Rojas & Teresa Rojano
Chapter 6
Students’ Justification Strategies on the Correctness and Equivalence of Computer-Based Algebraic Expressions
Eirini Geraniou & Manolis Mavrikis
Chapter 7
The Importance of Algebra Structure Sense for the Teaching and Learning of Mathematics
Teresa Rojano & Santiago Palmas
Chapter 8
On the Connection of Structure Sense in Mathematics and Who Sees and Transforms It: Internal Structure, Visual Salience, and Transformative Algebra.
Teresa Rojano
Editor(s)
Biography
Teresa Rojano is Professor in the Department of Mathematics Education, Center of Research and Advanced Studies (Cinvestav) of the National Polytechnic Institute, Mexico.