Do you understand the difference between a square and a rhombus well enough to explain it to a child? Could you weigh out 12 grams of sand if you were given weights of 3 grams, 7 grams and 16 grams? Can you spot common errors in subtraction calculations and identify the likely misconceptions behind them? This Student Workbook reinforces and applies concepts introduced in Derek Haylock's Mathematics Explained for Primary Teachers. With over 700 tested questions endorsed by primary PGCE trainees, along with detailed solutions and explanatory notes, the Student Workbook helps you gain the confidence you need to understand, apply and teach the primary maths curriculum. Checking Understanding questions are designed to help you check your own knowledge of terminology, understanding of key concepts and principles, and your mastery of important skills. Reasoning and Problem-solving questions encourage you to use and apply mathematical concepts in solving mathematical puzzles or problems in real life situations. Learning and Teaching solutions include responses to children's errors and misunderstandings, development of teaching ideas, evaluation of teaching approaches, and consideration of objectives to promote understanding. Visit the companion website for Mathematics Explained for Primary Teachers at study.sagepub.com/haylock5e to take advantage of even more learning resources, such as step-by-step solution videos, additional practice questions, activities to include in lesson plans and access to Derek Haylock's blog. Derek Haylock is an education consultant and writer with a background in mathematics teaching, teacher education and classroom-based research in mathematics education.

Author Biography

Derek Haylock is an education writer, with an extensive list of publications in the field of mathematics education. He worked for over 30 years in teacher education, both initial and in-service, and was Co-Director of Primary Initial Teacher Training and responsible for the mathematics components of the primary programmes at the University of East Anglia (UEA) in Norwich. He has considerable practical experience of teaching and researching in primary classrooms. His work in mathematics education has taken him to Germany, Belgium, Lesotho, Kenya, Brunei, India and Sweden. As well as his publications in the field of education, he has written seven books of Christian drama for young people and a Christmas musical (published by Church House/National Society). For 15 years after his time at UEA, he was in great demand as a consultant and professional speaker. His work as a writer continues. Ralph Manning is an independent consultant in primary education. He has worked as a primary teacher and as a lecturer in primary teacher education for 18 years, following an earlier career in the IT industry. Ralph led the mathematics and physical education programmes for the Primary PGCE at the University of East Anglia until 2013. His other specific interests are in developing children's higher thinking skills, assessment for learning and planning for teaching effectively. He was a former founding member of the General Teaching Council for England and is engaged in supporting developing education projects in India.