Helping Children Learn Mathematics 2nd Australian Edition By Robert Reys, Mary Lindquist
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Helping Children Learn Mathematics 2nd Australian Edition By Robert Reys, Mary Lindquist

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717
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19.1 MB
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Digital PDF
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eBook[PDF]
About this ebook
The Helping Children Learn Mathematics (2nd Australian Edition) by Robert Reys, Mary Lindquist, and their Australian co-authors is a comprehensive guide structured into two foundational parts. [1, 2]
The text covers everything from pedagogical theory and curriculum alignment to highly specific teaching strategies across the primary math curriculum.
The complete breakdown of the topics covered in this edition is organized by chapter below:
Part 1: Foundations of Mathematics Teaching and Learning
  • Chapter 1: School mathematics in a changing world – An overview of the role of the teacher, what determines the mathematics curriculum, and navigating the Australian Curriculum: Mathematics. [1, 2]
  • Chapter 2: Helping children learn mathematics with understanding – How children construct mathematical meaning, addressing diverse learners, and balancing procedural vs. conceptual knowledge. [1, 2]
  • Chapter 3: Planning and teaching – Strategies for lesson planning, defining learning objectives, and structuring effective classroom instruction. [1]
  • Chapter 4: Enhancing learning and teaching through assessment and feedback – Using formative and summative assessments to target student misconceptions and guide lesson adjustments. [1, 2]
  • Chapter 5: Processes of doing mathematics – Cultivating mathematical proficiencies such as reasoning, understanding, problem-solving, and fluency. [1, 2]
  • Chapter 6: Helping children with problem solving – Strategies to build students' critical thinking through open-ended questions and active problem-solving frameworks. [1, 2]
Part 2: Specific Mathematical Topics and Content Areas
  • Chapter 7: Counting and number sense in early childhood and primary years – Early number proficiencies, subitising, and teaching core sequential counting skills.
  • Chapter 8: Extending number sense: place value – Using base-ten structures and concrete manipulatives (like MAB blocks) to conceptualise larger numbers.
  • Chapter 9: Operations: meanings and basic facts – Introducing the foundational concepts and applications of addition, subtraction, multiplication, and division.
  • Chapter 10: Mental computation, calculators and estimation – Teaching computational alternatives, mental math tricks, and integrating Information and Communications Technology (ICT) tools.
  • Chapter 11: Solving problems with written strategies – Transitioning from informal student strategies to standard written algorithms.
  • Chapter 12: Fractions and decimals: meanings and operations – Building conceptual clarity around parts of a whole, fractional logic, and decimals.
  • Chapter 13: Ratio, proportion and percentages: meanings and applications – Exploring proportional reasoning and real-world percentage problem-solving.
  • Chapter 14: Extending students with number theory – Deepening mathematical exploration through concepts like factors, multiples, and prime numbers.
  • Chapter 15: Pattern and algebraic thinking – Identifying visual patterns, sequencing, and introducing early algebraic concepts.
  • Chapter 16: Geometry – Understanding lines, shapes, angles, and spatial reasoning.
  • Chapter 17: Measurement – Introducing units of length, area, volume, mass, time, and money.
  • Chapter 18: Data analysis, statistics and probability – Collecting data, creating visual graphs, reading charts, and evaluating chance or likelihood. [1, 2, 3, 4, 5, 6, 7]

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Topics

calculators and estimation Teaching computational alternatives Counting and number sense in early childhood and primary years Early number proficiencies Data analysis statistics and probability Enhancing learning and teaching through assessment and feedback Using formative and summative assessments to target student Extending number sense place value Using base-ten structures and concrete manipulatives Operations meanings and basic facts Introducing the foundational concepts and applications of addition Extending students with number theory Deepening mathematical exploration through concepts like factors Foundations of Mathematics Teaching and Learning Fractions and decimals: meanings and operations Building conceptual clarity around parts of a whole Geometry Understanding lines Helping children learn mathematics with understanding construct mathematical meaning Helping children with problem solving Strategies to build students' critical thinking integrating Information and Communications Technology (ICT) tools Measurement Introducing units of length Mental computation misconceptions and guide lesson adjustments Pattern and algebraic thinking Identifying visual patterns Planning and teaching Strategies for lesson planning Processes of doing mathematics Cultivating mathematical proficiencies such as reasoning Ratio proportion and percentages meanings and applications Exploring proportional reasoning and real-world percentage problem-solving School mathematics in a changing world navigating the Australian Curriculum: Mathematics Solving problems with written strategies Transitioning from informal student strategies to standard written algorithms Specific Mathematical Topics and Content Areas
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