Researching and using progressions (trajectories) in mathematics education / edited by Dianne Siemon, Tasos Barkatsas, and Rebecca Seah.

Format:

Book

Contributor:

Siemon, Dianne, editor.

Barkatsas, Anastasios, editor.

Seah, Rebecca, editor.

Series:

Global Education in the 21st Century 3.

Global education in the 21st century, 2542-9728 ; volume 3

Language:

English

Subjects (All):

Mathematics--Study and teaching (Middle school).

Mathematics.

Mathematics--Study and teaching (Secondary).

Physical Description:

1 online resource (xvi, 239 pages) : illustrations (some colour).

Place of Publication:

Boston : Brill Sense, [2019]

Summary:

The relationship between research and practice has long been an area of interest for researchers, policy makers, and practitioners alike. One obvious arena where mathematics education research can contribute to practice is the design and implementation of school mathematics curricula. This observation holds whether we are talking about curriculum as a set of broad, measurable competencies (i.e., standards) or as a comprehensive set of resources for teaching and learning mathematics. Impacting practice in this way requires fine-grained research that is focused on individual student learning trajectories and intimate analyses of classroom pedagogical practices as well as large-scale research that explores how student populations typically engage with the big ideas of mathematics over time. Both types of research provide an empirical basis for identifying what aspects of mathematics are important and how they develop over time. This book has its origins in independent but parallel work in Australia and the United States over the last 10 to 15 years. It was prompted by a research seminar at the 2017 PME Conference in Singapore that brought the contributors to this volume together to consider the development and use of evidence-based learning progressions/trajectories in mathematics education, their basis in theory, their focus and scale, and the methods used to identify and validate them. In this volume they elaborate on their work to consider what is meant by learning progressions/trajectories and explore a range of issues associated with their development, implementation, evaluation, and on-going review. Implications for curriculum design and future research in this field are also considered. Contributors are: Michael Askew, Tasos Barkatsas, Michael Belcher, Rosemary Callingham, Doug Clements, Jere Confrey, Lorraine Day, Margaret Hennessey, Marj Horne, Alan Maloney, William McGowan, Greg Oates, Claudia Orellana, Julie Sarama, Rebecca Seah, Meetal Shah, Dianne Siemon, Max Stephens, Ron Tzur, and Jane Watson.

Contents:

Front Matter

Copyright page

Acknowledgements

Figures and Tables

Notes on Contributors

Introduction / Dianne Siemon , Tasos Barkatsas and Rebecca Seah

Knowing and Building on What Students Know: The Case of Multiplicative Thinking / Dianne Siemon

Learning Trajectories in Early Mathematics Education / Julie Sarama and Douglas H. Clements

Hypothetical Learning Trajectory (HLT): A Lens on Conceptual Transition between Mathematical “Markers” / Ron Tzur

Using Digital Diagnostic Classroom Assessments Based on Learning Trajectories to Drive Instruction / Jere Confrey , William McGowan , Meetal Shah , Michael Belcher , Margaret Hennessey and Alan Maloney

Researching Mathematical Reasoning: Building Evidence-Based Resources to Support Targeted Teaching in the Middle Years / Dianne Siemon and Rosemary Callingham

Reframing Mathematical Futures II: Developing Students’ Algebraic Reasoning in the Middle Years / Lorraine Day , Marj Horne and Max Stephens

A Learning Progression for Geometric Reasoning / Rebecca Seah and Marj Horne

Statistics and Probability: From Research to the Classroom / Rosemary Callingham , Jane Watson and Greg Oates

Investigating Mathematics Students’ Motivations and Perceptions / Tasos Barkatsas and Claudia Orellana

Secondary Students’ Mathematics Education Goal Orientations / Tasos Barkatsas and Claudia Orellana

Epilogue / Mike Askew.

Notes:

Includes bibliographical references.

ISBN:

90-04-39644-6

OCLC:

1082295936

Publisher Number:

10.1163/9789004396449 DOI