The Joy of Mathematics: Marvels, Novelties, and Neglected Gems That Are Rarely Taught in Math Class
暫譯: 數學的樂趣:在數學課中鮮少教授的奇觀、新奇事物與被忽視的瑰寶

Posamentier, Alfred S., Geretschlager, Robert, Li, Charles

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商品描述

Wouldn't it be great if all school teachers (from kindergarten through high school) would share the joy of mathematics with their students, rather than focus only on the prescribed curriculum that will subsequently be tested? This book promises to help teachers and all readers do just that by revealing some wonders of mathematics often missing from classrooms. Here's your chance to catch up with the math gems you may have missed in your school years.Using jargon-free language and many illustrations, the authors--all veteran math educators--explore five areas--arithmetic, algebra, geometry, probability, and the ways in which mathematics can reinforce common sense. Among other things, you'll learn "the rule of 72," which enables you to quickly determine how long it will take your bank account to double its value at a specific interest rate. Other handy techniques include an automatic algorithm for multiplying numbers mentally and a clever application that will allow you to convert from miles to kilometers (or the reverse) mentally. A delightful presentation of geometric novelties reveals relationships that could have made your study of geometry more fun and enlightening. In the area of probability there is a host of interesting examples: from the famous Monty-Hall problem to the counterintuitive probability of two people having the same birthday in a crowded room.Finally, the authors demonstrate how math will make you a better thinker by improving your organizing abilities and providing useful and surprising solutions to common mathematics problems. You'll come away with a grasp of math you never thought possible and a true appreciation for this "queen of the sciences."

商品描述(中文翻譯)

如果所有的學校教師(從幼稚園到高中)都能與學生分享數學的樂趣,而不僅僅專注於後續會進行考試的規定課程,那該有多好!這本書承諾幫助教師和所有讀者做到這一點,揭示一些在課堂上常常缺失的數學奇觀。這是你彌補在學校時期可能錯過的數學瑰寶的機會。作者們都是資深的數學教育工作者,使用無行話的語言和許多插圖,探索五個領域——算術、代數、幾何、機率,以及數學如何增強常識。在這些內容中,你將學到「72法則」,這使你能夠快速確定在特定利率下,銀行帳戶的價值需要多長時間才能翻倍。其他實用的技巧包括一種自動算法,用於心算乘法,以及一個巧妙的應用,讓你能夠在心中將英里轉換為公里(或反向轉換)。一個令人愉快的幾何新奇展示揭示了關係,這些關係本可以讓你的幾何學習變得更加有趣和啟發性。在機率方面,有許多有趣的例子:從著名的蒙提霍爾問題到在擁擠的房間中兩個人擁有相同生日的反直覺機率。最後,作者展示了數學如何使你成為更好的思考者,通過改善你的組織能力並提供有用且驚人的解決方案來解決常見的數學問題。你將對數學有一種你從未想過的理解,並真正欣賞這門「科學之母」。

作者簡介

Alfred S. Posamentier has published over sixty books in the area of mathematics and mathematics education, including, most recently, The Circle: A Mathematical Exploration beyond the Line (with Robert Geretschläger). After having been on the faculty of the City College of the City University of New York for forty years, where he was a professor of mathematics education and dean of the School of Education, he subsequently held the same positions at Mercy College, New York, for five years. He is currently executive director for internationalization and funded programs at Long Island University.

Robert Geretschläger is a mathematics teacher at Bundesrealgymnasium Keplerstrasse in Graz, Austria. He is the coauthor of The Circle (with Alfred S. Posamentier), Geometric Origami, and other works.

Charles Li
is an Assistant Professor of Mathematics at Mercy College. He earned his Ph.D. in Mathematics from the CUNY Graduate Center, and his B.Eng. in Electrical Engineering from Cooper Union.

Christian Spreitzer teaches mathematics and physics at the University College of Teacher Education in Lower Austria.

作者簡介(中文翻譯)

阿爾弗雷德·S·波薩門提爾在數學及數學教育領域出版了超過六十本書籍,其中最近的作品是與羅伯特·格雷茨施萊格共同撰寫的圓:超越直線的數學探索。他在紐約市立大學的城市學院任教四十年,擔任數學教育教授及教育學院院長,隨後在紐約的梅西學院擔任相同職位五年。目前,他是長島大學國際化及資助計畫的執行董事。

羅伯特·格雷茨施萊格是奧地利格拉茨的Bundesrealgymnasium Keplerstrasse的數學教師。他是(與阿爾弗雷德·S·波薩門提爾共同撰寫)、幾何摺紙及其他作品的合著者。

查爾斯·李
是梅西學院的數學助理教授。他在CUNY研究生中心獲得數學博士學位,並在庫珀聯盟獲得電機工程學士學位。

克里斯蒂安·斯普賴策在下奧地利的教師教育大學教授數學和物理。