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"Making Every Maths Lesson Count is underpinned by six pedagogical principles - challenge, explanation, modelling, practice, feedback and questioning - and presents 52 high-impact strategies designed to streamline teacher workload and ramp up the level of challenge in the maths classroom. Throughout this book, Emma McCrea (through extensive research and practice) explores how to manage mathematical misconceptions with practical ideas on many areas of the required curriculum. The six pedagogical principles mentioned above form the heart of the book, with metacognitive questioning given space in developing cognitive strategies with pupils. "

Review of 1999 book on cosmology demonstrating universal phenomena contingent on six numbers. "Forget those 1,000 things you need to do before you die, the 10 commandments and seven deadly sins. Concentrate instead on six impossible things that, as the White Queen advised Alice, you must try to believe before breakfast. Without them there would be no galaxies of stars, no chemistry, no people, no books and no breakfast."

Review of a children's book published in 2013

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A review of Paul Lockhart's new book with a focus on mathematical reasoning and geometry, with a video of the author.

Review of Conway's Mathematical Connections, written for undergraduate mathematics courses, with the aim that instructors help students find connections across branches of math. Two similar books for undergraduates, recently published, are mentioned as well.

2013 memoir by Edward Frenkel chronicling his journey from the Soviet Union (where he was prevented from studying at Moscow State University) to teaching at Harvard and University of California, and the role and centrality of mathematics in his life. Subtitled the Heart of Hidden Reality

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"Usually, being able to visualise mathematical concepts to students is an important step in helping them understand techniques to illustrate connections with previous learning, helping them master maths notions to progress their skills. The importance of visualising concepts is clearly integral for Peter Mattock who has collected together a valued resource of mathematical activities that can be used with manipulative across the age and ability range."

Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children.

An explanation of mathematical exmples in everyday life and a review of the author's mathematical journey from primary school throughout his career. (Published in the US as Here's Looking at Euclid)