Problem Solving in Mathematics and Beyond – Volume 37: Mathematics in Architecture, Art, Nature, and Beyond
Author: Alfred S Posamentier , Günter J Maresch
Publisher finelybook 出版社: World Scientific Publishing
Edition 版本: N/A
Publication Date 出版日期: 2025-04-17
Language 语言: English
Print Length 页数: 208 pages
ISBN-10: 9811296987
ISBN-13: 9789811296987
Book Description
There is little opportunity in classrooms today for teachers to explore the amazing applications of mathematics outside the curriculum. This book is intended to show how mathematics manifests itself in areas that most people are unaware of. One can even revel in the history of how our number system evolved and how that has enabled us to define the beauty in mathematics as well as in art, architecture, nature, and beyond. The first two chapters of this book introduce the Fibonacci numbers and investigate their amazing relationships and applications in our general environment. The following four chapters focus on the Golden Ratio and the Golden Rectangle, exploring how they manifest all around us, often hiding in plain sight: in everything from architectural wonders such as the Taj Mahal to coin design, and from Greek vases to petal formation. We conclude our enjoyable journey through these mathematical wonders by considering conic sections and how they explain many aspects of everyday life, such as radar dishes, headlight reflectors, and whispering halls. This exposure to aspects of mathematics that are usually bypassed in the school curriculum will provide high school students, teachers, and general readers with an opportunity to truly appreciate the power and beauty of mathematics.
About the Author
Günter J Maresch is currently an Associate Professor of Mathematics Education and Vice-Dean of the Faculty of Digital and Analytical Sciences at the University of Salzburg, Austria. Following his Master’s degree in 1994, he became a teacher of mathematics, descriptive geometry, and information and communication technology (ICT) at secondary schools in the province of Salzburg, Austria, and was a lecturer at the University of Salzburg from 1998 to 2014. From 1998 to 2007, Dr Maresch was the Teachers’ Mentor for teachers of descriptive geometry, mathematics, and ICT in the province of Salzburg. He completed his PhD studies at the University of Salzburg in 2004. From 2007 to 2012, Dr Maresch was a member of the local education management board and the head of the institute for lifelong learning for upper secondary schools at the Salzburg University College of Teacher Education. Since 2002, he has been a member of the curriculum board of the Austrian Ministry of Education. From 2014 to 2016, he was an Assistant Professor for Mathematics Education and Geometry at the University of Salzburg. He continues to provide professional programs in many countries and has published more than 100 research papers and 20 books for students, researchers and teachers of mathematics, and books on geometry for the general readership.
