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/
IntroductionAims of mathematics teachingAlgorithmAnxiety about mathematicsAssessment for learningAssessment for teachingCognitive conflictConcept learningConservation of quantityConstructivismCreativity in mathematicsCross-cultural mathematicsCross-curricular mathematicsDeductive and inductive reasoningDifferentiationEquivalenceErrorsExplanationGender and mathematicsGeneralizationGiftedness in mathematicsHome as a context for numeracyInformal calculation methodInvestigation (enquiry)Language difficulties in mathematicsLow attainmentMaking connectionsMatch and mismatchMeaningful contextMeaningful learningMental calculationModelling process (representing)NumeracyPlay as a context for learning mathematicsPrinciple learningProblem solvingPurposeful activityQuestioningRote learningSkill learningTalkTransformationTransitivityUsing and applying mathematicsReferences
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