Interdisciplinarity, creativity, and learning : mathematics with literature, paradoxes, history, technology, and modeling / edited by Bharath Sriraman, Viktor Freiman, Nicole Lirette-Pitre.

Format:

Book

Contributor:

Sriraman, Bharath, editor.

Freiman, Viktor, editor.

Lirette-Pitre, Nicole, editor.

Series:

Montana mathematics enthusiast ; monograph 7.

The Montana mathematics enthusiast, monograph series in mathematics education ; monograph 7

Language:

English

Subjects (All):

Mathematics--Study and teaching.

Mathematics.

Interdisciplinary approach in education.

Physical Description:

1 online resource (261 p.)

Place of Publication:

Charlotte, N.C. : Information Age Pub., 2009.

Language Note:

English

Summary:

Interdisciplinarity is increasingly viewed as a necessary ingredient in the training of future oriented 21st century disciplines that rely on both analytic and synthetic abilities across disciplines. Nearly every curricular document or vision statement of schools and universities include a call for promoting creativity in students. Yet the construct of creativity and giftedness across disciplines remains elusive in the sense that the prototypical examples of such work come from eminent scientists, artists and mathematicians, and little if any work has been conducted with non-eminent individuals. This monograph is an attempt to fill this gap by putting forth the view that interdisciplinarity and creativity are related constructs, and that the cultivation of domain general creativity is possible. Mathematics has historically been anchored to numerous disciplines like theology, natural philosophy, culture and art, allowing for a flexibility of thought that is difficult to cultivate in other disciplines. In this monograph, the numerous chapters from Australia, U.S.A., Canada, Cyprus, Denmark and Japan provide a compelling illustration of the intricate connection of mathematics with literature, paradoxes, history, technology and modeling, thus serving as a conduit for interdisciplinarity, creativity and learning to occur.

Contents:

Section I. Interdisciplinarity in mathematics and literature

Chapter 1. The interdisciplinary nature of inductive processes in forming generalizations / Bharath Sriraman and Harry Adrian

Chapter 1. The existential void in learning: Juxtaposing mathematics and literature / Bharath Sriraman and Harry Adrian

Chapter 2. Mathematics and literature: Synonyms, antonyms or the perfect amalgam? / Bharath Sriraman

Chapter 3. Mathematics and literature (the sequel): Imagination as a pathway to advanced mathematical ideas and philosophy / Bharath Sriraman

Section II. Mathematics and paradoxes

Chapter 4. 1 or 0?: Cantorian conundrums in the contemporary classroom / Bharath Sriraman and Libby Knott

Chapter 5. Understanding mathematics through resolution of paradoxes / Margo Kondratieva

Chapter 6. Mathematical paradoxes as pathways into beliefs and polymathy / Bharath Sriraman

Section III. Geometry and history

Chapter 7. Voronoi diagrams / Michael Mumm

Chapter 8. An in-depth investigation of the divine ratio / Birch Fett

Chapter 9. Cyclide manipulation / Akihiro Matsuura

Section IV. Interdisciplinarity and modeling

Chapter 10. Modeling interdisciplinary activities involving mathematics and philosophy / Steffen M. Iversen

Chapter 11. Integrating engineering education within the elementary and middle school mathematics curriculum / Lyn D. English and Nicholas G. Mousoulides

Chapter 12. Mathematical modelling in the early school years / Lyn D. English and James J. Watters

Section V. Technology and the net generation

Chapter 13. Connected giftedness: Mathematical problem solving by means of a web technology: Case of the casmi project / Viktor Freiman and Nicole Lirette-Pitre

Chapter 14. Teaching and learning for the net generation: A robotic-based learning approach / Samuel Blanchard

Chapter 15. Does technology help building more creative mathematical environments? / Dominic Manuel.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Print version record.

ISBN:

9786612186738

9781282186736

1282186736

9781607521884

1607521881