Fostering Collateral Creativity in School Mathematics: Paying Attention to Students' Emerging Ideas in the Age of Technology

Abramovich, Sergei, Freiman, Viktor

  • 出版商: Springer
  • 出版日期: 2024-10-05
  • 售價: $5,040
  • 貴賓價: 9.5$4,788
  • 語言: 英文
  • 頁數: 130
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031406419
  • ISBN-13: 9783031406416
  • 海外代購書籍(需單獨結帳)

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商品描述

This book explores the topic of using technology, both physical and digital, to motivate creative mathematical thinking among students who are not considered 'mathematically advanced.' The book reflects the authors' experience of teaching mathematics to Canadian and American teacher candidates and supervising several field-based activities by the candidates. It consists of eight chapters and an Appendix which includes details of constructing computational learning environments.

Specifically, the book demonstrates how the appropriate use of technology in the teaching of mathematics can create conditions for the emergence of what may be called 'collateral creativity, ' a notion similar to Dewey's notion of collateral learning. Just as collateral learning does not result from the immediate goal of the traditional curriculum, collateral creativity does not result from the immediate goal of traditional problem solving. Rather, mathematical creativity emerges as a collateral outcomeof thinking afforded by the use of technology. Furthermore, collateral creativity is an educative outcome of one's learning experience with pedagogy that motivates students to ask questions about computer-generated or tactile-derived information and assists them in finding answers to their own or the teacher's questions. This book intends to provide guidance to teachers for fostering collateral creativity in their classrooms.

商品描述(中文翻譯)

本書探討了使用科技(包括實體和數位科技)來激發那些不被視為「數學高級」的學生的創造性數學思維的主題。書中反映了作者在教導加拿大和美國的教師候選人數學以及監督候選人進行多項實地活動的經驗。全書共分為八章,並附有一個附錄,詳細說明了如何構建計算學習環境。

具體而言,本書展示了在數學教學中適當使用科技如何創造出所謂的「附帶創造力」的條件,這一概念類似於杜威所提出的附帶學習。正如附帶學習並非源自傳統課程的直接目標,附帶創造力也並非源自傳統問題解決的直接目標。相反,數學創造力作為使用科技所促成的思考的附帶結果而出現。此外,附帶創造力是個人在學習經驗中與教學法的教育性結果,這種教學法能激勵學生對電腦生成或觸覺衍生的信息提出問題,並幫助他們找到自己或教師問題的答案。本書旨在為教師提供指導,以促進他們課堂中的附帶創造力。

作者簡介

Sergei Abramovich is a professor at the State University of New York School of Education and Professional Studies. He is an author/co-author/editor of eleven books and 240 articles on mathematics education, differential equations, and control theory. His service to educational community includes two founding editor-in-chief appointments (Open Mathematical Education Notes, Advances in Educational Research and Evaluation) and membership on editorial boards of another six professional journals.
Viktor Freiman, Ph.D., is a full professor at Université de Moncton, NB, Canada, and teaches courses in elementary mathematics education, new trends in education, and talent development. His research interests are in challenging mathematics, creativity, interdisciplinary connections (STEAM), ICT literacy, computational thinking, and history of mathematics education. He is a co-editor of the Springer Series Mathematics Education in the Digital Era. He is the director of the Partnership Network CompeTI.CA (ICT competencies in the Atlantic Canada) and president of the International Group on Mathematical Creativity and Giftedness.

作者簡介(中文翻譯)

謝爾蓋·阿布拉莫維奇(Sergei Abramovich)是紐約州立大學教育與專業研究學院的教授。他是十一部書籍和240篇有關數學教育、微分方程及控制理論的文章的作者、合著者或編輯。他對教育界的貢獻包括兩個創始主編職位(《開放數學教育筆記》(Open Mathematical Education Notes)、《教育研究與評估進展》(Advances in Educational Research and Evaluation))以及擔任另外六本專業期刊的編輯委員會成員。

維克多·弗雷曼(Viktor Freiman)博士是加拿大新不倫瑞克省蒙克頓大學的全職教授,教授基礎數學教育、新興教育趨勢和人才發展的課程。他的研究興趣包括挑戰性數學、創造力、跨學科連結(STEAM)、資訊與通信技術素養、計算思維以及數學教育的歷史。他是施普林格系列《數位時代的數學教育》(Mathematics Education in the Digital Era)的共同編輯,也是夥伴網絡CompeTI.CA(大西洋加拿大的ICT能力)的主任,以及國際數學創造力與天賦小組的主席。