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Yes, but why? Teaching for understanding in mathematics

by Ed Southall SAGE Publications Ltd
Pub Date:
03/2017
ISBN:
9781473948969
Format:
Pbk 336 pages
Price:
AU$62.00 NZ$64.35
Product Status: In Stock Now
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Available as eBook
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Getting the right answers in maths is only half the problem. Understanding why what you’re doing works is the part that often stumps students and teachers alike. Does maths feels like a collection of random rules and steps that somehow lead you to an answer? Don’t worry you’re not alone.


 


Ask yourself: why do we have odd and even numbers? Why do two negative numbers multiply to make a positive? Why do fraction operations work? What is cosine and where does it come from? Yes, but why? answers all of your questions, and sheds light on the hidden connections between everything in mathematics at school. Maths makes sense. It always has, but until now maybe no-one ever showed you.


A must-read for those training to teach primary or secondary mathematics via university-based (PGCE, BEd, BA w/QTS) or school-based (School Direct, SCITT, Teach First) routes and current teachers wishing to deepen their mathematical understanding.

Introduction
Chapter 1: Types of Numbers (Part 1)
Chapter 2: The Four Operations
Chapter 3: Angles and Shapes
Chapter 4: Types of Numbers (Part 2)
Chapter 5: Fractions and Proportionality
Chapter 6: Measurement
Chapter 7: Algebra
Chapter 8: Statistics and Probability
Chapter 9: Functions and Linear Graphs
Chapter 10: The Pythagorean Theorem and Trigonometry

For the curious learner inside and in front of every maths teacher asking “Yes but why?”, Ed has compiled an accessible and comprehensive compendium of “well, becauses”. He offers straightforward explanations and diagrams in a thorough breakdown of maths topics from grade 1 to 9. The text is peppered with much-needed derivations of technical vocab, algebraic proofs, and historical origins of maths, not to mention mathematical oddities like the meaning of ‘degenerate polygons’, the ‘obelus’ and ‘sexy prime triplets’! This book has made me a more informed maths teacher and it’s now my go-to repository of mathematical explanations to guide my lesson planning and delivery.
Ed Southall - University of Huddersfield