• 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 Phase
Developing the Fraction Concept in the Intermediate Phase
The 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 School
The 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 School
Learning 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.