1st Edition

Algebra Structure Sense Development amongst Diverse Learners Theoretical and Empirical Insights to Support In-Person and Remote Learning

Edited By Teresa Rojano Copyright 2022
    198 Pages 34 B/W Illustrations
    by Routledge

    198 Pages 34 B/W Illustrations
    by Routledge

    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.

    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

    Biography

    Teresa Rojano is Professor in the Department of Mathematics Education, Center of Research and Advanced Studies (Cinvestav) of the National Polytechnic Institute, Mexico.