| 书目名称 | Change and Invariance |
| 副标题 | A Textbook on Algebr |
| 编辑 | Ilya Sinitsky,Bat-Sheva Ilany |
| 视频video | http://file.papertrans.cn/224/223718/223718.mp4 |
| 概述 | This book offers a unique perspective of mathematical phenomena through the concept of invariance and change.The activities in this book – as they are presented with their theoretical background, math |
| 图书封面 |  |
| 描述 | "What is the connection between finding the amount of acid needed to reach the desired concentration of a chemical solution, checking divisibility by a two-digit prime number, and maintaining the perimeter of a polygon while reducing its area? The simple answer is the title of this book..The world is an interplay of variation and constancy – a medley of differences and similarities – and this change and invariance is, largely, a language of science and mathematics. This book proposes a unique approach for developing mathematical insight through the perspective of change and invariance as it applies to the properties of numbers and shapes..After a short introductory chapter, each of the following chapters presents a series of evolving activities for students that focus on a specific aspect of interplay between change and invariance. Each activity is accompanied by detailed mathematical explanations and a didactic discussion. The assignments start with tasks familiar from the school curriculum, but progress beyond the menial to lead to sophisticated generalizations. Further activities are suggested to augment the chapter’s theme. Some examples: “How to represent all the integers from |
| 出版日期 | Book 2016 |
| 关键词 | Change and invariance; Algebraic reasoning; Teaching mathematics; Pre-service math teachers education; E |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-6300-699-6 |
| isbn_ebook | 978-94-6300-699-6 |
| copyright | SensePublishers-Rotterdam, The Netherlands 2016 |
|Archiver|手机版|小黑屋|
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