Use of Concept Maps in Classroom Research

Concept map approach is a highly effective tool for the development and assessment of student conceptual understanding of mathematics and as such it belongs to the category of Stenhouse TR acts (Chapter 1.1). Teaching-research expands the utility of conce

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The Creative Enterprise of Mathematics Teaching Research Elements of Methodology and Practice – From Teachers to Teachers

Edited by Bronislaw Czarnocha Eugenio Maria de Hostos Community College, City University of New York, USA William Baker Eugenio Maria de Hostos Community College, City University of New York, USA Olen Dias Eugenio Maria de Hostos Community College, City University of New York, USA and Vrunda Prabhu Bronx Community College, City University of New York, USA

A C.I.P. record for this book is available from the Library of Congress.

ISBN: 978-94-6300-547-0 (paperback) ISBN: 978-94-6300-548-7 (hardback) ISBN: 978-94-6300-549-4 (e-book)

Published by: Sense Publishers, P.O. Box 21858, 3001 AW Rotterdam, The Netherlands https://www.sensepublishers.com/

All chapters in this book have undergone peer review.

Printed on acid-free paper

All Rights Reserved © 2016 Sense Publishers No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.

We dedicate this book to Vrunda Prabhu One of the founders of the Teaching-Research Team of the Bronx In gratitude for leaving behind The Universal Signpost: Creativity is the way out!

TABLE OF CONTENTS

Foreword  Barbara Jaworski

xi

Acknowledgementsxiii Introductionxv Unit 1: The Main Themes of the Book1 1.1 Teaching-Research New York City Model (TR/NY City) Bronislaw Czarnocha

3

1.2. Creativity Research and Koestler: An Overview Bronislaw Czarnocha, Vrunda Prabhu, Olen Dias and William Baker

23

1.3. Underserved Students and Creativity William Baker

43

Unit 2: Creative Learning Environment57 2.1. The Didactic Contract, a Handshake and a Compromise: A Teaching-Action-Research Project Vrunda Prabhu, Bronislaw Czarnocha and Howard Pflanzer

63

2.2. Focus on Creativity – Literacy – Numeracy Vrunda Prabhu and James Watson

75

2.3. The Poznan Theatre Problem Vrunda Prabhu, Peter Barbatis and Howard Pflanzer

95

2.4. The Creative Learning Environment Vrunda Prabhu

107

2.5. The Reflections of the Teacher-Researcher upon the Creativity Principle Vrunda Prabhu

127

2.6. Reflection and Case Study of Creative Learning Environment Olen Dias

133

Unit 3: Tools of Teaching-Research145 3.1. How to Arrive at a Teaching-Research Question? Vrunda Prabhu, William Baker and Bronislaw Czarnocha vii

149

TABLE OF CONTENTS

3.2. How to Approach a Teaching Experiment? Bronislaw Czarnocha

163

3.3. Qualitative and Quantitative Analysis William Baker

171

3.4. Teaching Research Interviews Eric Fuchs and Bronislaw Czarnocha

179

3.5. Use of Concept Maps in Classroom Research Vrunda Prabhu, Haiyue Jin and Roberto Catanuto

199

3.6. Pictorial Scaffolding in the Schema Construction of Concepts203 Vrunda Prab