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Mathematics Explained for Primary Teachers.

Sixth Edition
by Derek Haylock and Ralph Manning

Student Resources

  • Curriculum Links
  • Section Introduction Videos
    • Section A: Mathematical Understanding
    • Section B: Mathematical Reasoning and Problem Solving
    • Section C: Numbers and Calculations
    • Section D: Further Number Concepts and Skills
    • Section E: Algebra
    • Section F: Measurement
    • Section G: Geometry
    • Section H: Statistics and Probability
  • Problem Solved! Videos
    • Chapter 6: Numbers and Place Value
    • Chapter 8: Mental Strategies for Addition and Subtraction
    • Chapter 9: Written Methods for Addition and Subtraction
    • Chapter 11: Mental Strategies for Multiplication and Division
    • Chapter 12: Written Methods for Multiplication and Division
    • Chapter 13: Natural numbers: Some key concepts
    • Chapter 14: Integers: Positive and Negative
    • Chapter 15: Fractions and Ratios
    • Chapter 16: Decimal Numbers and Rounding
    • Chapter 17: Calculations with Decimals
    • Chapter 18: Proportionality and Percentages
    • Chapter 19: Algebraic Reasoning
    • Chapter 21: Concepts and Principles of Measurement
    • Chapter 23: Angle
    • Chapter 27: Comparing Sets of Data
  • Self-Assessment Questions
    • Chapter 3: Learning How to Learn Mathematics
    • Chapter 4: Key Processes in Mathematical Reasoning
    • Chapter 5: Modelling and Problem Solving
    • Chapter 6: Numbers and Place Value
    • Chapter 7: Addition and Subtraction Structures
    • Chapter 8: Mental Strategies for Addition and Subtraction
    • Chapter 9: Written Methods for Addition and Subtraction
    • Chapter 10: Multiplication and Division Structures
    • Chapter 11: Mental Strategies for Multiplication and Division
    • Chapter 12: Written Methods for Multiplication and Division
    • Chapter 13: Natural Numbers: Some Key Concepts
    • Chapter 14: Integers: Positive and Negative
    • Chapter 15: Fractions and Ratios
    • Chapter 16: Decimal Numbers and Rounding
    • Chapter 17: Calculations with Decimals
    • Chapter 18: Proportionality and Percentages
    • Chapter 19: Algebraic Reasoning
    • Chapter 20: Coordinates and Linear Relationships
    • Chapter 21: Concepts and Principles of Measurement
    • Chapter 22: Perimeter, Area and Volume
    • Chapter 23: Angle
    • Chapter 24: Transformations and Symmetry
    • Chapter 25: Classifying Shapes
    • Chapter 26: Handling Data
    • Chapter 27: Comparing Sets of Data
    • Chapter 28: Probability
  • Lesson Plans & Worksheets
    • Chapter 6: Numbers and Place Value
    • Chapter 7: Addition and Subtraction Structures
    • Chapter 8: Mental Strategies for Addition and Subtraction
    • Chapter 9: Written Methods for Addition and Subtraction
    • Chapter 10: Multiplication and Division Structures
    • Chapter 11: Mental Strategies for Multiplication and Division
    • Chapter 12: Written Methods for Multiplication and Division
    • Chapter 13: Natural numbers: Some key concepts
    • Chapter 14: Integers: Positive and Negative
    • Chapter 15: Fractions and Ratios
    • Chapter 16: Decimal Numbers and Rounding
    • Chapter 17: Calculations with Decimals
    • Chapter 18: Proportionality and Percentages
    • Chapter 19: Algebraic Reasoning
    • Chapter 20: Coordinates and Linear Relationships
    • Chapter 21: Concepts and Principles of Measurement
    • Chapter 22: Perimeter, Area and Volume
    • Chapter 23: Angle
    • Chapter 23: Angle
    • Chapter 24: Transformations and Symmetry
    • Chapter 25: Classifying Shapes
    • Chapter 26: Handling Data
    • Chapter 27: Comparing Sets of Data
    • Chapter 28: Probability
  • Knowledge Checks
  • SAGE Journal Articles
    • Section A: Mathematical Understanding
    • Section B: Mathematical Reasoning and Problem Solving
    • Section C: Numbers and Calculations
    • Section D: Further Number Concepts and Skills
    • Section E: Algebra
    • Section F: Measurement
    • Section G: Geometry
    • Section H: Statistics and Probability
  • Study Skills

Section E: Algebra

Click on the following links. Please note these will open in a new window.

  • Banerjee, R. (2011) ‘Is arithmetic useful for the teaching and learning of algebra?’ Contemporary Education Dialogue, 8(2): 137–159. July 2011.
  • Foegen, A. and Morrison, C. (2010) ‘Putting algebra progress monitoring into practice: insights from the field’, Intervention in School and Clinic, 46(2): 95–103. November 2010.
  • Franke, M. et al. ‘Teacher questioning to elicit students’ mathematical thinking in elementary school classrooms’, Journal of Teacher Education, 60(4): 380–392. September/October 2009. 
  • Marks, R. (1990) ‘Pedagogical content knowledge: from a mathematical case to a modified conception’, Journal of Teacher Education, 41(3): 3–11. May 1990. 

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