Susanne Schindler-Tschirner - For Gifted Students in Primary School
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Available in electronic and printed format, the books present expert knowledge from Springer specialist authors in a compact form. They are particularly suitable for use as eBooks on tablet PCs, eBook readers and smartphones. Springer essentials form modules of knowledge from the areas economics, social sciences and humanities, technology and natural sciences, as well as from medicine, psychology and health professions, written by renowned Springer-authors across many disciplines.
More information about this subseries at http://www.springer.com/series/16761
This book is a translation of the original German edition Mathematische Geschichten I Graphen, Spiele und Beweise by Schindler-Tschirner, Susanne, published by Springer Fachmedien Wiesbaden GmbH 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.
Responsible Editor: Iris Ruhmann
This Springer imprint is published by the registered company Springer Fachmedien Wiesbaden GmbH part of Springer Nature.
The registered company address is: Abraham-Lincoln-Str. 46, 65189 Wiesbaden, Germany
The conception and design of this essential and of Volume II of the Mathematical Stories (Schindler-Tschirner and Schindler 2019) are the result of the experience gained from a mathematics study group for gifted students, which the second author led at the primary school in Oberwinter (Rhineland-Palatinate). Twelve students from grades 3 and 4 took part. This was 10% of all students in these two grades. Of these, at least three students were later able to win prizes in national mathematics competitions.
Of course the authors do not assume that these successes were only made possible by participation in this mathematics study group. Rather, with the two essentials, we would like to make a contribution to awakening interest in and enjoyment of mathematics and promoting mathematical talent.
Learning units in stories
Graphs
Mathematical games
Proofs
Sample solutions
The authors are no longer in contact with all participants of the mathematics study group.
Apart from the introduction, this essential consists of two parts, each with six chapters. Part I contains tasks and Part II the sample solutions discussed in detail with didactic suggestions, mathematical goals and outlooks. This book and the follow-up volume (Schindler-Tschirner and Schindler 2019) are aimed at leaders of study groups (SGs) and support courses for mathematically gifted students in grades 3 and 4, at teachers who practice differentiated mathematics lessons, and also at committed parents for extracurricular support. The sample solutions are tailored to the leadership of SGs; modified accordingly, they can also serve as a guide for parents who work through this book together with their children.
This essential is intended to convey the joy of mathematics as well as the insight that mathematics does not only consist of learning more or less complicated formulas. It differs fundamentally from some pure task collections, which contain interesting and by no means trivial mathematical tasks to puzzle with, but in which, in our view, the targeted learning and application of mathematical techniques is not considered enough.
The mathematical talent of primary school children and its promotion has played an important role in primary school pedagogy for several decades. This book does not go into general didactic considerations and theories on the promotion of gifted children in detail, although the bibliography contains a selection of relevant publications for the interested reader. This
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