New PDF release: Creative Mathematics

By William Higginson, Eileen Phillips, Rena Upitis, David Pimm

ISBN-10: 0203445570

ISBN-13: 9780203445570

ISBN-10: 0415164621

ISBN-13: 9780415164627

ISBN-10: 041516463X

ISBN-13: 9780415164634

ISBN-10: 0585452091

ISBN-13: 9780585452098

This publication exhibits how inventive maths can really paintings. Exploring the ways that maths abilities could be realized via cross-curricular actions according to visible arts and tune, the e-book provides maths as a significant and intriguing topic which holds no fears for kids. The authors recognize that whereas maths-phobia prevails in our more and more mathematicised international, attitudes and techniques to educating the topic have to be reviewed, and matters akin to gender stereotyping, which motivate maths-apathy, must be tackled at an early degree. inside of this number of classroom-based tales are precise examples of integrative mathematic initiatives; those will supply lecturers the boldness to attempt out cross-curricular actions of their sessions. The publication additionally offers help with tricky components resembling overview, making plans and improvement. interesting to learn in its personal correct this booklet will attract the expert and non-specialist alike.

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Extra info for Creative Mathematics

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In just two classes, she not only teased out the Grade 3 pupils’ knowledge of tessellations, but helped them articulate it to the Grade 4 pupils, related it to work that the class had done a month earlier on tangrams, taught a quick lesson on colour mixing (we had only the primary colours for silk painting), and had all of the pupils creating several rough sketches of tessellating patterns they might use on their cards. By the end of the first day, the Grade 3 and 4 pupils had established these characteristics and ‘rules’ about tessellations: Tessellations 35 • • • • they make a pattern with shapes, with no space or overlapping; they use shapes like triangles and quadrilaterals; all triangles, quadrilaterals, and even some hexagons tessellate; other shapes can tessellate if you combine them with squares and triangles, like an octagon with a diamond; • you can make patterns on a shape that tessellates (with the corollary that ‘if you make a pattern or design with shapes on a hexagon, it is not a tessellation unless the whole hexagon tessellates too’); • you have to use shapes with straight sides.

In our discussions about the approach we wanted to take to this work, there was a strong consensus that we wished to write in a style that was personal and direct. In choosing to write invitationally, and in attempting to avoid the pomposity and jargon that characterises far too much of the literature of education, our ambition was to make something that interests, stimulates and supports those individuals attracted to a certain type of teaching and learning. This book is intended, therefore, for teachers, parents, and other educators, who are caring, seeking, imaginative, open and intelligent; individuals who might well feel, in some imprecise way, that more might be made of the teaching of mathematics.

And that, at least with respect to mathematics, is supposed to be my stock in trade. As a mathematics educator —among 12 Chapter 1 other things, a teacher of teachers—I occupy that somewhat lonely and hazardous ground between mathematics teacher and research mathematician. Half-caste, hybrid, neither finned nor feathered, easily and frequently incurring the ire and indignation of both sides of the family tree. Perhaps that is where the difficulty arises. Removed from day-to-day contact with challenging adolescents, I am considered by mathematics teachers as out of touch with the realities of the classroom.

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Creative Mathematics by William Higginson, Eileen Phillips, Rena Upitis, David Pimm

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