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.