Mathematics and Beauty: Aesthetic Approaches to Teaching ChildrenIn this innovative book, Nathalie Sinclair makes a compelling case for the inclusion of the aesthetic in the teaching and learning of mathematics. Using a provocative set of philosophical, psychological, mathematical, technological, and educational insights, she illuminates how the materials and approaches we use in the mathematics classroom can be enriched for the benefit of all learners. While ranging in scope from the young learner to the professional mathematician, there is a particular focus on middle school, where negative feelings toward mathematics frequently begin. Offering specific recommendations to help teachers evoke and nurture their students’ aesthetic abilities, this book:
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Contents
Plan for the Book | 9 |
BEAUTY AND PLEASURE IN HUMAN EXPERIENCE | 15 |
Wired for Beauty and Pleasure | 29 |
Copyright | |
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Common terms and phrases
abductive reasoning aesthetic dimension aesthetic lens aesthetic response aesthetic sensibilities Aleah appeal argues asked beauty bicycle gears Casey Chapter Christine cognitive colors compass and straightedge construct context decimal described develop Dewey dragon curve elegant ematicians ematics enculturation engage equation evoke example experience exploration feelings Figure four color theorem fraction frogs function G. H. Hardy Geometer's Sketchpad geometry goal human inscribed angle involved kissing angle kissing triangles learners Lionnais math mathematical activity mathematical aesthetic mathematical beauty mathematical community mathematical ideas mathematical inquiry mathematical values mathematics classroom mathematics culture mathematics educator mathematics learning Meeting Lulu middle school motivational role movement rule Napoleon's theorem pattern pedagogical perceive perceptions perhaps pleasure polygon prime numbers problem professional mathematicians proof qualitative unity reasoning school mathematics sense of order sequence shapes Sketchpad solutions solving square surprise symmetry teachers teaching thetic thinking tion understanding visual Wolfgang Krull wonder