Mathematics Matters in Education Essays in Honor of Roger E. Howe

This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and inv

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Yeping Li W. James Lewis James J. Madden Editors

Mathematics Matters in Education Essays in Honor of Roger E. Howe

Advances in STEM Education Series editor Yeping Li, Texas A&M University, College Station, Texas, USA International Advisory Board Spencer A. Benson, University of Macau, Macau, China Richard A. Duschl, Pennsylvania State University, USA Dirk Ifenthaler, University of Mannheim, Germany Kenneth Ruthven, University of Cambridge, UK Karan L. Watson, Texas A&M University, USA

Advances in STEM Education is a new book series with a focus on cutting-edge research and knowledge development in science, technology, engineering and mathematics (STEM) education from pre-college through continuing education around the world. It is open to all topics in STEM education, both in and outside of classrooms, including innovative approaches and perspectives in promoting and improving STEM education, and the processes of STEM instruction and teacher education. This series values original contributions that view STEM education either in terms of traditionally defined subject-based education or as an educational undertaking involving inter-connected STEM fields. The series is open to new topics identified and proposed by researchers internationally, and also features volumes from invited contributors and editors. It works closely with the International Journal of STEM Education and Journal for STEM Education Research to publish volumes on topics of interest identified from the journal publications that call for extensive and in-depth scholarly pursuit. Researchers interested in submitting a book proposal should contact the Series Editor: Yeping Li ([email protected]) or the Publishing Editor: Melissa James ([email protected]) for further information.

More information about this series at http://www.springer.com/series/13546

Yeping Li • W. James Lewis • James J. Madden Editors

Mathematics Matters in Education Essays in Honor of Roger E. Howe

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Editors Yeping Li Department of Teaching, Learning and Culture Texas A&M University College Station, TX, USA

W. James Lewis Department of Mathematics University of Nebraska – Lincoln Lincoln, NE, USA

Shanghai Normal University Shanghai, China James J. Madden Department of Mathematics Louisiana State University Baton Rouge, LA, USA

ISSN 2520-8616 Advances in STEM Education ISBN 978-3-319-61433-5 DOI 10.1007/978-3-319-61434-2

ISSN 2520-8624 (electronic) ISBN 978-3-319-61434-2 (eBook)

Library of Congress Control Number: 2017949175 © Springer International Publishing AG 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive nam