From the Golden Rectangle to the Fibonacci Sequences

1. Auflage 2023
ISBN: 978-3-030-97599-9
Verlag: Springer

Buch, Englisch, 160 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 285 g

Reihe: Springer Texts in Education

The book takes us on a fascinating journey through one of the most beautiful and fascinating topics of mathematics. It presents a wealth of information about the golden ratio and the Fibonacci sequence.  The book introduces the reader to novel perspectives to classic mathematical concepts and problems.  The book’s structure engages with the reader actively, leading to more profound understanding, satisfaction and deep insights in learning mathematics.  The book strengthens and expands the readers' mathematical knowledge, allowing them a glimpse of several advanced academic concepts. It demonstrates and instils the essence of mathematical research, along the lines of George Polya: observation, conjecture, proof, implementation, generalization and raising new questions.

Zielgruppe

Graduate

Autoren/Hrsg.

Liba, Opher

Ilany, Bat-Sheva

Weitere Mitwirkende

Nativ, Isaac

Fachgebiete

• Sozialwissenschaften Pädagogik Pädagogik Pädagogische Psychologie
• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
• Sozialwissenschaften Psychologie Allgemeine Psychologie Entwicklungspsychologie Pädagogische Psychologie
• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Lehrerausbildung

Inhaltsverzeichnis

Chapter 1 Introduction.- 2 The Golden Rectangle and the Golden Ratio.- 3 Introducing Golden Triangles.- 4 The Fibonacci Sequence.- 5 The Lucas Sequence.- 6 The General Fibonacci-like Sequences.- 7 List of Formulas, Theorems, and Definitions.

Über Autor(innen)

Opher Liba The late Opher Liba was a distinguished teacher of mathematics at all levels. Opher organised and convened several mathematics conferences and wrote numerous books and papers for both teachers and students of mathematics. Opher was particularly interested in the Fibonacci sequences. He conducted original research on this topic and wrote extensively about it for students at various levels. Dr Bat-Sheva Ilany is a distinguished mathematics educator. She has published many books, papers and teaching material for primary, secondary and tertiary levels. Bat-Sheva has been teaching at various universities and teacher training colleges, and has supervised many PhD and MSc students.  Bat Sheva consults to the Ministry of Education and to organisations that develop books, games and teaching materials. Isaac Nativ studied mathematics and mathematics education at Monash University as well as at Melbourne University. He has been teaching gifted students for many years