Geometry Snacks

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Geometry Snacks

J’ai co-écrit avec Ed Southall (@solvemymaths sur Twitter) un livre de problèmes de géométrie grand public. Voir ci-dessous pour le commander en ligne et lire une description (en anglais).
L’idée est de proposer des problèmes avec une figure simple et engageante et proposer dans les solutions différentes approches pour résoudre le problème. Depuis quelques années je pratique avec les élèves de lycée en section euro ou internationale (où je ne suis pas trop contraint par les programmes) un enseignement basé sur la résolution de problèmes « complexes » en groupe. Un temps de recherche, puis un temps d’exposition des solutions ou approches au tableau, suivi de discussions avec les élèves. Cette technique pédagogique m’est apparue efficace en particulier pour travailler la communication ce qui est particulièrement recherché en DNL. Pour que cela fonctionne, il faut que le problème soit riche et motivant. La géométrie est particulièrement adaptée car les élèves sont familiers avec les techniques, ils ne restent pas secs. Ce sont des problèmes de ce type que nous avons recherché avec Ed. Une version française est prévue.

Pour voir des exemples, on pourra consulter le site d’Ed Southall
- Commander ici chez Tarquin. pour seulement 10 €

I wrote with Ed Southall a geometry puzzle book : "Geometry Snacks" edited by Tarquin. See link below for description and order it online.
Geometry Snacks is a mathematical puzzle book filled with geometrical figures and questions designed to challenge, confuse and ultimately enlighten enthusiasts of all ages. Each puzzle is carefully designed to draw out interesting phenomena and relationships between the areas and dimensions of various shapes. Furthermore, unlike most puzzle books, the authors offer multiple approaches to solutions so that once a puzzle is solved, there are further surprises, insights and challenges to be had.

As a teaching tool, Geometry Snacks enables teachers to promote deep thinking and debate over how to solve geometry puzzles. Each figure is simple, but often deceptively tricky to solve – allowing for great classroom discussions about ways in which to approach them. By offering numerous solution approaches, the book also acts as a tool to help encourage creativity and develop a variety of strategies to chip away at problems that often seem to have no obvious way in.

- Pre-order here at Tarquin. for only £ 8.


Contents :

- What fraction is shaded ?

- Find the missing angle

- What is the area ?

- Prove it

- Sangaku

The Authors

- Ed Southall is a teacher trainer at Huddersfield University in the UK, and the author of “Yes But Why ? Teaching for Understanding in Mathematics”. Ed has taught mathematics for 14 years in secondary schools both in the UK and the Middle East. He has developed a large following online as @solvemymaths on twitter where he regularly posts mathematical puzzles.

- Vincent Pantaloni is a French mathematics high school teacher since 2000. He teaches in Orléans in French but also in English to the European and International Sections. With these students he has developed a teaching based on cooperative problem solving. He believes that searching and sharing strategies for complex problems in teamwork helps students in building a stronger mathematical knowledge. He is also a teacher trainer specialised in the use of new technologies and flipped classroom and a member of different research groups. He posts about mathematics on twitter @panlepan and in French on his website Mathzani.


A review of the book by the mathematician Colin Beveridge (@icecolbeveridge) in the aperiodical can be found here.

The top Christmas gift for maths teachers this year, as picked by (@mathsjem)

The Guardian ! Alex Bellos wrote a review of our book including three of our puzzles and their solutions for his "Monday Puzzle". Dec. 2017.

- Can you solve it ?
- Did you solve it ? Solutions