Electronic String Art: Rhythmic Mathematics
Erfle, Stephen
- 出版商: A K Peters
- 出版日期: 2024-02-20
- 售價: $1,960
- 貴賓價: 9.5 折 $1,862
- 語言: 英文
- 頁數: 336
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1032512733
- ISBN-13: 9781032512730
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相關主題
商品描述
String art is a well-known and popular activity that uses string, a board, and nails to produce artistic images (although there are variations that use different modalities). This activity is beloved because simple counting rules are used to create beautiful images that can both adorn walls and excite young minds. The downside of this highly tactile activity is that it is quite time-consuming and rigid. By contrast, electronic string art offers much more flexibility to set up or change nail locations and counting rules, and the images created from those changes change instantaneously.
Electronic String Art: Rhythmic Mathematics invites readers to use the author's digital resources available on the ESA website to play with the parameters inherent in string art models while offering concise, accessible explanations of the underlying mathematical principles regarding how the images were created and how they change. Readers will have the opportunity to create visually beautiful works of art while learning concepts from geometry, number theory, and modular arithmetic from approximately 200 short-interdependent sections.
Features
- Readers are able to drill-down on images in order to understand why they work using short (1 to 2 page) stand-alone sections
- Sections are lessons that were created so that they could be digested in a single sitting
- These sections are stand-alone in the sense that they need not be read sequentially but can be referred to based on images that the reader finds interesting
- An open-ended, inherently flexible teaching resource for elementary, middle, and high school-level mathematics
- The most mathematically challenging sections (or portions of a section) are designated MA and may not be accessible to elementary and middle school readers
- Will be appreciated by anyone interested in recreational mathematics or mathematical artworks even if the users are not interested in the underlying mathematics
- Includes exercises, solutions, and many online digital resources
- These QR codes take you to these digital resources. One takes you directly to the web version of the string art model (used as a starting point for teaching the parameters of the model in Section 25.5). The other takes you to the ESA web page with additional links to a variety of resources.
商品描述(中文翻譯)
線條藝術是一種著名且受歡迎的活動，使用線、木板和釘子來製作藝術圖像（雖然也有使用不同方式的變體）。這項活動受到喜愛，因為它使用簡單的計數規則來創造美麗的圖像，既可以裝飾牆壁，也可以激發年輕人的思維。這種高度觸感的活動的缺點是非常耗時且僵化。相比之下，電子線條藝術提供了更多靈活性，可以設置或更改釘子位置和計數規則，並且從這些變化中創建的圖像可以即時變化。
《電子線條藝術：律動數學》邀請讀者使用作者在ESA網站上提供的數位資源，玩弄線條藝術模型中固有的參數，同時提供簡明易懂的解釋，闡述了創建圖像和變化的基本數學原理。讀者將有機會在學習幾何學、數論和模數算術等概念的同時，創作出視覺上美麗的藝術作品，該書約有200個短而相互依賴的章節。
特點：
- 讀者可以深入研究圖像，以便理解它們的運作原理，使用短小（1至2頁）的獨立章節。
- 這些章節是為了能夠在一次閱讀中消化而創建的課程。
- 這些章節是獨立的，不需要按順序閱讀，可以根據讀者感興趣的圖像進行參考。
- 一個開放且靈活的教學資源，適用於小學、中學和高中數學。
- 最具挑戰性的數學部分（或部分章節）被標記為MA，可能不適合小學和中學讀者。
- 即使使用者對底層數學不感興趣，任何對休閒數學或數學藝術感興趣的人都會喜歡這本書。
- 包括練習題、解答和許多線上數位資源。
- 這些QR碼將帶您前往這些數位資源。其中一個直接帶您到線條藝術模型的網頁版本（用於教授模型參數的起點，位於第25.5節）。另一個則帶您到ESA網頁，其中包含其他各種資源的連結。
作者簡介
Stephen Erfle is a professor at Dickinson College. Although he was trained as a microeconomic theorist specializing in industrial organization and regulation, he has spent much of his academic life working at the borders of traditional economics. He has used his economist's toolkit to examine topics in a wide variety of fields including public health, exercise psychology, political geography, mathematics education, and communications theory in addition to economics.
He has consulted for a variety of organizations including the Seagram Classics Wine Company, the Forum on Education Abroad, and the Pennsylvania Department of Health. His Seagram Classics sabbatical reoriented the direction of his teaching and research as it turned his former analytical focus (theorem and proof) into a more empirical focus (what does the data tell us). It also led him to cofound the international business and management major at Dickinson College. One of the core courses in that major, Managerial Decision Making, teaches students to analyze the kinds of decisions he was asked to answer during his time working for Seagram Classics.
He has spent much of his time in the past couple of decades devoted to pedagogical issues revolving around providing geometric interpretations and explanations for a variety of topics. The books and papers in these topic areas seek to explain economic and mathematical concepts in intuitive terms, often to students with limited mathematical backgrounds.
He received his BS in Mathematics and BA in Economics from University of California, Davis, and Ph.D. in Economics from Harvard University.
作者簡介(中文翻譯)
Stephen Erfle 是迪金森學院的教授。儘管他接受了微觀經濟學的訓練，專攻產業組織和監管，但他在學術生涯中大部分時間都在傳統經濟學的邊界上工作。除了經濟學之外，他還使用經濟學家的工具箱研究了公共衛生、運動心理學、政治地理學、數學教育和通信理論等各個領域的主題。
他曾為多個組織提供咨詢服務，包括Seagram Classics Wine Company、Forum on Education Abroad和賓夕法尼亞州衛生部。他在Seagram Classics的休假期間，重新調整了他的教學和研究方向，將以前的分析焦點（定理和證明）轉變為更多的實證焦點（數據告訴我們什麼）。這也促使他共同創辦了迪金森學院的國際商業和管理專業。該專業的核心課程之一，管理決策，教授學生分析他在Seagram Classics工作期間所面臨的決策類型。
在過去的幾十年裡，他花了大部分時間致力於教學問題，提供各種主題的幾何解釋和解釋。這些主題領域的書籍和論文旨在以直觀的術語解釋經濟和數學概念，通常針對數學基礎有限的學生。
他在加州大學戴維斯分校獲得數學學士學位和經濟學學士學位，並在哈佛大學獲得經濟學博士學位。
