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Math Made Visual
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  • Cited by 15
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Treeby, David 2017. A Moment's Thought: Centers of Mass and Combinatorial Identities. Mathematics Magazine, Vol. 90, Issue. 1, p. 19.

    Lloyd, Elisabeth A. 2017. Springer Handbook of Model-Based Science. p. 913.

    Coutat, Sylvia Laborde, Colette and Richard, Philippe R. 2016. L’apprentissage instrumenté de propriétés en géométrie : propédeutique à l’acquisition d’une compétence de démonstration. Educational Studies in Mathematics, Vol. 93, Issue. 2, p. 195.

    Richard, Philippe R. Oller Marcén, Antonio Miguel and Meavilla Seguí, Vicente 2016. The concept of proof in the light of mathematical work. ZDM, Vol. 48, Issue. 6, p. 843.

    Sinclair, Nathalie Bartolini Bussi, Maria G. de Villiers, Michael Jones, Keith Kortenkamp, Ulrich Leung, Allen and Owens, Kay 2016. Recent research on geometry education: an ICME-13 survey team report. ZDM, Vol. 48, Issue. 5, p. 691.

    Sevcikova, Andrea and Milkova, Eva 2016. Multimedia applications: Graph algorithms visualization. p. 000231.

    Natsheh, Intisar and Karsenty, Ronnie 2014. Exploring the potential role of visual reasoning tasks among inexperienced solvers. ZDM, Vol. 46, Issue. 1, p. 109.

    Grossfield, Andrew 2014. Visual differential calculus. p. 1.

    Franklin, James 2014. An Aristotelian Realist Philosophy of Mathematics. p. 180.

    R. Richard, Philippe Gagnon, Michel Maria Fortuny, Josep Leduc, Nicolas and Tessier-Baillargeon, Michèle 2013. Means of Choice for Interactive Management of Dynamic Geometry Problems Based on Instrumented Behaviour. American Journal of Computational Mathematics, Vol. 03, Issue. 03, p. 41.

    Parames Laosinchai and Bhinyo Panijpan 2012. A Geometric Interpretation of Pascal’s Formula for Sums of Powers of Integers. The American Mathematical Monthly, Vol. 119, Issue. 1, p. 58.

    Richard, Philippe R. Fortuny, Josep Maria Gagnon, Michel Leduc, Nicolas Puertas, Eloi and Tessier-Baillargeon, Michèle 2011. Didactic and theoretical-based perspectives in the experimental development of an intelligent tutorial system for the learning of geometry. ZDM, Vol. 43, Issue. 3, p. 425.

    Konyalioğlu, Alper Cihan Aksu, Zeki and Şenel, Esma Özge 2011. The preference of visualization in teaching and learning absolute value. International Journal of Mathematical Education in Science and Technology, p. 1.

    Mabry, Rick 2011. Crosscut Convex Quadrilaterals. Mathematics Magazine, Vol. 84, Issue. 1, p. 16.

    Ye, Zheng Chou, Shang-Ching and Gao, Xiao-Shan 2010. Visually Dynamic Presentation of Proofs in Plane Geometry. Journal of Automated Reasoning, Vol. 45, Issue. 3, p. 213.


Book description

Is it possible to make mathematical drawings that help to understand mathematical ideas, proofs and arguments? The authors of this book are convinced that the answer is yes and the objective of this book is to show how some visualization techniques may be employed to produce pictures that have both mathematical and pedagogical interest. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words'. Hundreds of these have been publised in Mathematics Magazine and The College Mathematics Journal, as well as in other journals, books, and on the Internet. Often times, a person encountering a 'proof without words' may have the feeling that the pictures involved are the result of a serendipitous discovery or the consequence of an exceptional ingenuity on the part of the picture's creator. In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. As the reader shall see, a given mathematical idea or relation may have many different images that justify it, so that depending on the teaching level or the objectives for producing the pictures, one can choose the best alternative.


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