The Creative Enterprise of Mathematics Teaching Research : Elements of Methodology and Practice – From Teachers to Teachers / / edited by Bronislaw Czarnocha, William Baker, Olen Dias, Vrunda Prabhu.

• HerausgeberIn: Czarnocha, Bronislaw.; Baker, William.; Dias, Olen.; Prabhu, Vrunda.
• Place / Publishing House: Rotterdam : : SensePublishers :, Imprint: SensePublishers,, 2016.
• Year of Publication: 2016
• Edition: 1st ed. 2016.
• Language: English
• Physical Description: 1 online resource (XX, 536 p.)

The Creative Enterprise of Mathematics Teaching Research presents the results and methodology of work of the teaching-research community of practice of the Bronx (TR Team of the Bronx). It has a twofold aim of impacting both teachers of Mathematics and researchers in Mathematics Education. This volume can be used by teachers of mathematics who want to use research to reflect upon and to improve their teaching craft, as well as by researchers who are interested in uncovering riches of classroom learning/teaching for research investigations. This book represents the results of a collaboration of instructors discussing their own instruction research, analyzed through a conceptual framework obtained via the synthesis of creativity research and educational learning theories, based upon the work of Piaget and Vygotsky. The editors see an urgent need for creative synthesis of research and teaching, an example of which is presented in the book. Two central themes of the book are the methodology of TR/NYCity model and creativity, more precisely, creativity of the Aha moment formulated by Arthur Koestler (1964) in a very profound but little known theory of bisociation exposed in his work “The Act of Creation”. Incorporation of the theory of bisociation into classroom teaching of mathematics provides the key to enable students who may struggle with mathematics to engage their own creativity, become involved in their learning process and thus reach their full potential of excellence. Creativity in teaching remedial mathematics is teaching gifted students how to access their own giftedness.

Table of Contents

Preliminary Material / Bronislaw Czarnocha , William Baker , Olen Dias and Vrunda Prabhu -- The Main Themes of the Book / Bronislaw Czarnocha , William Baker , Olen Dias and Vrunda Prabhu -- Teaching-Research New York City Model (TR/NY City) / Bronislaw Czarnocha -- Creativity Research and Koestler / Bronislaw Czarnocha , Vrunda Prabhu , Olen Dias and William Baker -- Underserved Students and Creativity / William Baker -- Creative Learning Environment / Bronislaw Czarnocha , William Baker , Olen Dias and Vrunda Prabhu -- The Didactic Contract, a Handshake and a Compromise / Vrunda Prabhu , Bronislaw Czarnocha and Howard Pflanzer -- Focus on Creativity – Literacy – Numeracy / Vrunda Prabhu and James Watson -- The Poznan Theatre Problem / Vrunda Prabhu , Peter Barbatis and Howard Pflanzer -- The Creative Learning Environment / Vrunda Prabhu -- The Reflections of the Teacher-Researcher upon the Creativity Principle / Vrunda Prabhu -- Reflection and Case Study of Creative Learning Environment / Olen Dias -- Tools of Teaching-Research / Bronislaw Czarnocha , William Baker , Olen Dias and Vrunda Prabhu -- How to Arrive at a Teaching-Research Question? / Vrunda Prabhu , William Baker and Bronislaw Czarnocha -- How to Approach a Teaching Experiment? / Bronislaw Czarnocha -- Qualitative and Quantitative Analysis / William Baker -- Teaching Research Interviews / Eric Fuchs and Bronislaw Czarnocha -- Use of Concept Maps in Classroom Research / Vrunda Prabhu , Haiyue Jin and Roberto Catanuto -- Pictorial Scaffolding in the Schema Construction of Concepts / Vrunda Prabhu -- Concept Maps / Haiyue Jin -- The Method Learning Routes / Robert Catanuto -- Discovery Method and Teaching-Research / William Baker -- Teacher as the Designer of Instruction / Bronislaw Czarnocha , William Baker , Olen Dias and Vrunda Prabhu -- Koestler’s Theory as a Foundation for Problem-Solving / William Baker -- Comparative Study of Three Approaches to Teaching Rates / Olen Dias , William Baker and Bronislaw Czarnocha -- Rate and Proportion Teaching Sequence / Olen Dias -- Proportional Reasoning and Percent / William Baker -- Rate Teaching Sequence / Bronislaw Czarnocha -- Two Learning Trajectories / William Baker and Bronislaw Czarnocha -- Learning Trajectory / William Baker -- Learning Trajectory / Bronislaw Czarnocha -- Calculus / Hannes Stoppel -- From Arithmetic to Algebra / William Baker and Bronislaw Czarnocha -- Teaching Research Communities / Bronislaw Czarnocha , William Baker , Olen Dias and Vrunda Prabhu -- Algebra/English as a Second Language (ESL) Teaching Experiment / Bronislaw Czarnocha -- “Just Tell Us the Formula!” Co-Constructing the Relevance of Education in Freshman Learning Communities / Ted Ingram , Vrunda Prabhu and H. Elizabeth Smith -- Professional Development of Teacher-Researchers (PDTR) in Tamil Nadu, India / Vrunda Prabhu and Bronislaw Czarnocha -- PDTR: The Development of a Teacher-Researcher / Bronislaw Czarnocha , Maria Mellone and Roberto Tortora -- Epilogue / Bronislaw Czarnocha , William Baker and Olen Dias -- About the Contributors / Bronislaw Czarnocha , William Baker , Olen Dias and Vrunda Prabhu -- Index / Bronislaw Czarnocha , William Baker , Olen Dias and Vrunda Prabhu.