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Reflect, Expect, Check, Explain: Sequences and behaviour to enable mathematical thinking in the classroom
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Some students think mathematically. They have the curiosity to notice relationships, the confidence to ask why, and the knowledge to understand the answer. They are the lucky ones. Many others just “do” maths. They look at a question, think about how to answer it, answer it, and then move on.
In this book, Craig Barton, maths teacher and best-selling author of How I wish I’d taught maths, offers an approach to help all our students think mathematically. It requires the careful sequencing of questions and examples, the role of the teacher, and the mathematical behaviour of our students. It has transformed his teaching.
Drawing upon research into the Self-Explanation Effect, the Hypercorrection Effect and Variation Theory, together with two years of developing this approach with teachers and students around the world, Craig describes exactly what this looks like in the classroom. But be warned: not everyone agrees. Indeed, it is this very approach that led to Craig being labelled as “the most dangerous and clueless man in maths education.”
If that is not a recommendation to keep reading, we don’t know what is.
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About the Author
Craig Barton has been teaching maths for 15 years. He is the Head of Education at Eedi, the TES Maths Adviser, the author of the best-selling How I wish I’d taught maths, the host of the Mr. Barton Maths Podcast, and the creator of mrbartonmaths.com, diagnosticquestions.com, variationtheory.com, ssddproblems.com and mathsvenns.com. His two proudest achievements are convincing Kate to marry him, and being the father to their wonderful baby boy, Isaac.
- Publisher : John Catt Educational (February 28, 2020)
- Language : English
- Paperback : 300 pages
- ISBN-10 : 1912906341
- ISBN-13 : 978-1912906345
- Item Weight : 1.5 pounds
- Dimensions : 5.83 x 1.13 x 8.27 inches
- Best Sellers Rank: #1,556,008 in Books (See Top 100 in Books)
- Customer Reviews:
About the author
Top reviews from the United States
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If a simple focus on the sequences were the entire book, that would be enough for me, to be honest. But Mr Barton spends an exemplary amount of effort addressing possible questions and misconceptions about such sequences (the FAQ chapter is really good) and explaining how these sequences can both fit into larger learning episodes and can function in different ways from practice. All the while, the sequences remain the stars of the show.
I highly recommend (again) Mr Barton's book, especially to math teachers. This sequel is even better than his first book.
Top reviews from other countries
The only downside: there are a lot of typos in this book which took the shine off it for me.
Thank you, Craig.