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Mathematical Stories II - Recursion, Divisibility and Proofs

For Gifted Students in Primary School

  • Book
  • © 2023

Overview

  • Targeted support for the gifted in the subject of primary school mathematics
  • Learning units in stories with detailed sample solutions
  • Sample solutions designed for non-mathematicians

Part of the book series: essentials (ESSENT)

Part of the book sub series: Springer essentials (SE)

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Table of contents (13 chapters)

  1. Part I

  2. Part II

Keywords

About this book

Using field-tested, carefully crafted units of study, the authors in this essential teach fundamental mathematical techniques that are relevant well beyond the elementary school years. In this Volume II, the Gaussian summation formula and a recursion formula are derived and applied. Tasks on divisibility, prime factors and divisors follow. For calculating with remainders, the modulo calculation is introduced and applied. Students learn to perform proofs in a variety of contexts. As in Volume I, "Graphs, Games, and Proofs," the tasks encourage mathematical thinking skills, imagination, and creativity. The detailed sample solutions are designed for non-mathematicians.

This book is a translation of the original German 1st edition Mathematische Geschichten II – Rekursion, Teilbarkeit und Beweise by Susanne Schindler-Tschirner and Werner Schindler, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2019. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors. 

Authors and Affiliations

  • Sinzig, Germany

    Susanne Schindler-Tschirner, Werner Schindler

About the authors

Susanne Schindler-Tschirner is a philologist and was project manager in a science publishing house after her teacher training. She is active in student support and author of didactics-oriented publications. Werner Schindler has a doctorate in mathematics. He is head of department at the Federal Office for Information Security (BSI) and adjunct professor at the Department of Mathematics at TU Darmstadt.

Bibliographic Information

  • Book Title: Mathematical Stories II - Recursion, Divisibility and Proofs

  • Book Subtitle: For Gifted Students in Primary School

  • Authors: Susanne Schindler-Tschirner, Werner Schindler

  • Series Title: essentials

  • DOI: https://doi.org/10.1007/978-3-658-38611-5

  • Publisher: Springer Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2023

  • Softcover ISBN: 978-3-658-38610-8Published: 15 April 2023

  • eBook ISBN: 978-3-658-38611-5Published: 13 April 2023

  • Series ISSN: 2197-6708

  • Series E-ISSN: 2197-6716

  • Edition Number: 1

  • Number of Pages: X, 67

  • Number of Illustrations: 7 b/w illustrations

  • Topics: Mathematics, general, Mathematics Education

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