Mathematics Explained for Primary Teachers

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.

• SECTION A: MATHEMATICAL UNDERSTANDINGChapter 1: Primary Teachers’ Insecurity about MathematicsChapter 2: Mathematics in the Primary CurriculumChapter 3: Learning How to Learn MathematicsSECTION B: MATHEMATICAL REASONING AND PROBLEM SOLVINGChapter 4: Key Processes in Mathematical ReasoningChapter 5: Modelling and Problem SolvingSECTION C: NUMBERS AND CALCULATIONSChapter 6: Numbers and Place ValueChapter 7: Addition and Subtraction StructuresChapter 8: Mental Strategies for Addition and SubtractionChapter 9: Written Methods for Addition and SubtractionChapter 10: Multiplication and Division StructuresChapter 11: Mental Strategies for Multiplication and DivisionChapter 12: Written Methods for Multiplication and DivisionSECTION D: FURTHER NUMBER CONCEPTS AND SKILLSChapter 13: Natural Numbers: Some Key ConceptsChapter 14: Integers: Positive and NegativeChapter 15: Fractions and RatiosChapter 16: Decimal Numbers and RoundingChapter 17: Calculations with DecimalsChapter 18: Proportionality and PercentagesSECTION E: ALGEBRAChapter 19: Algebraic ReasoningChapter 20: Coordinates and Linear RelationshipsSECTION F: MEASUREMENTChapter 21: Concepts and Principles of MeasurementChapter 22: Perimeter, Area and VolumeSECTION G: GEOMETRYChapter 23: AngleChapter 24: Transformations and SymmetryChapter 25: Classifying ShapesSECTION H: STATISTICS AND PROBABILITYChapter 26: Handling DataChapter 27: Comparing Sets of DataChapter 28: Probability