PDF Foundations of Differential Calculus

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This entails students being able to interpret the graphs of functions such as simple polynomials, but also knowing about rational functions, trigonometric functions, and the relationship between powers and logarithms. Students who are taught the calculus beginning with the epsilon—delta definition of limits can encounter difficulties, and this has led to other teaching approaches being developed. This raises the question of whether students younger than 16, given appropriate technologies, might be able to engage with the mathematics of change and variation that is the focus of the calculus.

This could lead to a new strand of the mathematics curriculum that is neither a simplified version of symbolic calculus, nor an exploration of linear functions and related notions of rate and ratio. About us Contacts News.

Differential calculus

Improving social well-being through education, research and innovation. Key ideas in teaching mathematics. Research-based guidance and classroom activities for teachers of mathematics. Search Key ideas in teaching mathematics. Introduction Quantities and algebraic expressions Ratio and proportional reasoning Connecting measurement and decimals Spatial and geometrical reasoning Reasoning about data Reasoning about uncertainty Functional relations between variables Mathematics beyond age 16 Trigonometric functions Calculus and analysis Statistical inference About the activities and resources.

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