Children as Mathematical Learners
Immerse yourself in the number and algebra strand of the Australian mathematics curriculum. Explore how children learn maths through a constructivist teaching approach, and identify knowledge using assessment strategies and diagnostic assessment.
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- 31 Aug 2020
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At the completion of this subject students will be able to:
- demonstrate a deep understanding of the Number and Algebra strand of the Australian Curriculum: Mathematics and appropriate teaching strategies to develop understanding in children
- interpret children’s demonstration of their knowledge of number and algebra
- develop and apply diagnostic mathematics assessment strategies
- appraise social constructivist approaches to planning for mathematical learning and the development of numeracy
- demonstrate increased personal numeracy skills in mathematical relationships, expressions, and applications, with a higher focus on number and algebra
integrate effective, research based, teaching and assessment strategies and methods appropriate for learners from diverse cultural backgrounds including Aboriginal and Torres Strait Islanders.
- Understanding and diagnosing children’s learning
- Pre-number and early number experiences
- Place Value
- Understanding the Base Ten Numeration System
- Multiplicative thinking
- Understanding fraction concepts
- Understanding decimals and linking to fractions
- Percentages, ratio and proportional reasoning
- Algebraic thinking
This subject explores the Australian Mathematics Curriculum and its relation to curricula from other countries with particular reference to the proficiency strands. The subject focuses on the development of deep understanding of the Number and Algebra strand and emphasises the identification of children’s knowledge using assessment strategies including diagnostic assessment. Topics covered include number sense, early number knowledge, counting to place value, numeration, fractions, decimals and percentages, operations, algebraic thinking, number patterns and relationships, and making decisions about appropriate use of mental/written/electronic calculation strategies.
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Find out more about the Academic Integrity module.
- Report (50%)
- Portfolio and Mathematics Content Knowledge Test (50%)
Helping Children Learn Mathematics, 3rd ed.
Reys, R., et al.