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Mathematical Stories I – Graphs, Games and Proofs

For Gifted Students in Primary School

  • Book
  • © 2021

Overview

  • Targeted support for gifted students in the subject of mathematics at primary school
  • Learning units in stories with detailed sample solutions
  • Model 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. Tasks

  2. Sample Solutions

Keywords

About this book

With the help of tried and tested, carefully elaborated learning units, the authors convey fundamental mathematical techniques in this essential, which are important far beyond primary school. In the present volume I, path problems and word puzzles are modeled and solved using undirected and directed graphs. Simple math games are systematically analyzed and the optimal strategies are determined. Students learn to gradually reduce difficult problems to simpler ones and to provide evidence in different contexts. The tasks encourage mathematical thinking, 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 I – Graphen, Spiele 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.

Reviews

“This delightful book is the first of a two-part series intended for use with gifted students in third and fourth grades. Teachers who differentiate mathematics lessons, leaders of mathematics study groups, parents, and anyone who enjoys mathematics games and puzzles would find this book interesting. … Each problem chapter ends with a listing of ‘What I Learned in this Chapter’ which highlights for the students the mathematical skills they used.” (Mary Beth Rollick, MAA Reviews, October 17, 2021)

Authors and Affiliations

  • Sinzig, Germany

    Susanne Schindler-Tschirner, Werner Schindler

About the authors

Susanne Schindler-Tschirner is a philologist and after studying to become a teacher, she was a project manager at a science publisher. She works in the field of student development and is the author of didactic-oriented publications.

Werner Schindler has a PhD in mathematics. He is head of section at the Federal Office for Information Security (BSI) and an adjunct professor in the mathematics department at TU Darmstadt.

Bibliographic Information

  • Book Title: Mathematical Stories I – Graphs, Games and Proofs

  • Book Subtitle: For Gifted Students in Primary School

  • Authors: Susanne Schindler-Tschirner, Werner Schindler

  • Series Title: essentials

  • DOI: https://doi.org/10.1007/978-3-658-32733-0

  • Publisher: Springer Wiesbaden

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

  • Copyright Information: Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2021

  • Softcover ISBN: 978-3-658-32732-3Published: 05 June 2021

  • eBook ISBN: 978-3-658-32733-0Published: 04 June 2021

  • Series ISSN: 2197-6708

  • Series E-ISSN: 2197-6716

  • Edition Number: 1

  • Number of Pages: IX, 61

  • Number of Illustrations: 29 b/w illustrations, 3 illustrations in colour

  • Topics: Mathematics, general, Mathematics Education

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