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- Developing the Fraction Concept
The handouts and resources below outline and illustrate content from a NumberSense Mathematics Programme workshop which covered the following:
- Issues that underpin a deep and meaningful understanding of fractions.
- The developmentally-appropriate sequence for teaching fractions from Grade 2 to Grade 7 as used in the NumberSense Workbooks.
- Assumptions and misconceptions about the teaching of fractions.
- The role of problems in learning about fractions and experiencing mathematics as a meaningful, sense-making activity.
Developing the Fraction Concept in the Foundation PhaseDeveloping the Fraction Concept in the Intermediate PhaseThe Development of the Fraction Concept Trajectory - Developing Pre-Algebraic Thinking
The handouts and resources below outline and illustrate content from a NumberSense Mathematics Programme workshop which covered the following:
- The role of patterning in developing number sense in particular and mathematical proficiency in general.
- An appropriate sequence (trajectory) of teaching and learning activities to support the development of patterning.
- Patterns, representations and interrelationships.
- Patterns and pre-algebra in the NumberSense classroom.
Developing the Function Concept (Patterns and Patterning) in the Primary SchoolThe Development of Algebraic Thinking Trajectory - Developing Geometric Thinking
The handouts and resources below outline and illustrate the content from a NumberSense Mathematics Programme workshop which covered the following:
- Developing geometric thinking in a NumberSense classroom with the focus on understanding, application and reasoning.
- Van Hiele’s levels of geometric thinking and phases of learning.
- An exciting and innovative range of interactive and grade-appropriate NumberSense geometry activities.
Developing Geometric Thinking in the Primary SchoolLearning through Play (Pierre Van Hiele) - The Foundation Phase Numeracy Handbook
Numeracy is an essential building block for young children to make a confident start to mathematics. The Foundation Phase Numeracy Handbook Handbook provides ideas to guide and support the teaching of Numeracy in Grades R to 3, and to plan numeracy activities that:
- Start with real problems that present children with mathematics that is presented in meaningful contexts.
- Encourage children to represent their mathematical thinking and understanding verbally and graphically.
- Involve children in a variety of dialogues which encourages them to reflect on their mathematical thinking.
Foundation Phase Numeracy Handbook - Adding it Up: Helping Children Learn Mathematics (Kilpatrick, Swafford, Findell)
An article that details and supports the development mathematical proficiency as the outcome for teaching mathematics and as a measure of mathematical success.
Adding it Up - Stop teaching calculating and start teaching maths: Thinking versus Calculating (Conrad Wolfram)
A TED talk and supporting transcript that details and supports the importance of developing understanding, application and reasoning skills as part of mathematics teaching and learning.
