Covering the key principles and concepts in the teaching and learning of mathematics in primary schools, this text provides trainee and practising teachers with a quick and easy reference to what they need to know for their course, and in the classroom. The entries are arranged alphabetically, and each contains a brief definition, followed by an explanation and discussion, practical examples and annotated suggestions for further reading.
Examples of the wide-ranging material include: Anxiety about mathematics; Assessment for Learning; Cognitive conflict; Concept learning; Creativity in mathematics; Differentiation; Equivalence; Explanation; Investigation; Low attainment; Making connections; Meaningful context; Mental calculation; Numeracy; Play as a context for learning mathematics; Problem-solving; Questioning; Talk.
Derek Haylock is an education consultant and writer in the field of mathematics education. He is a Senior Fellow in Education at the University of East Anglia, Norwich, where he worked for over 30 years in primary teacher training and in education research. He is a major author in education, with a large number of published books and chapters in books. His best-selling Mathematics Explained for Primary Teachers (Sage) has been the leader in the field for many years, with a fourth edition published in 2010. Derek's work is characterized by a commitment to explain mathematics in simple and accessible ways and to enable the subject to be taught and learnt with understanding and confidence. He is married, with two grown-up daughters and three grandsons. Outside of mathematics, he is a Free Church elder, plays the trumpet, and is passionate about classical music, cricket, walking (quickly) and cycling (slowly). Derek Haylock has a website at: http://derek-haylock.blogspot.com/
Introduction Aims of mathematics teaching Algorithm Anxiety about mathematics Assessment for learning Assessment for teaching Cognitive conflict Concept learning Conservation of quantity Constructivism Creativity in mathematics Cross-cultural mathematics Cross-curricular mathematics Deductive and inductive reasoning Differentiation Equivalence Errors Explanation Gender and mathematics Generalization Giftedness in mathematics Home as a context for numeracy Informal calculation method Investigation (enquiry) Language difficulties in mathematics Low attainment Making connections Match and mismatch Meaningful context Meaningful learning Mental calculation Modelling process (representing) Numeracy Play as a context for learning mathematics Principle learning Problem solving Purposeful activity Questioning Rote learning Skill learning Talk Transformation Transitivity Using and applying mathematics References