Proof in mathematics challenges students to extend their prior learning through precise mathematical reasoning. This is often achieved through the use of algebraic notation to generalise nonspecific cases.
An example of differentiating with proof could be:
One of the things that I like most about mathematics is its continuous nature. Linking various aspects together often serves to consolidate the student’s understanding of each topic while adding depth to the learning objective
An example of differentiation by working the problem in reverse could be:
Applying a simple concept to a series of more challenging questions can increase the pace and challenge of a lesson. Students can use the success criteria of a lesson to create a series of questions for their peers to attempt. The person who created the questions would later mark and feedback to their partner who attempted to solve them.
Whether its angle geometry, ratio or algebra mathematics is full of patterns. Learning to look for them and understanding their origins is key to a deeper level of understanding. They illustrate how all of mathematics is connected and can be generalised.
Some examples could be:
How do you differentiate in a maths lesson?
Comments and ideas are very welcome.
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