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.
Students should be able to represent the solutions to an inequality on a number line, using set notation or as a list of integer values. Here’s how I teach using the balance method for solving inequalities using a number line. Matching inequalities, Number sets and Number Lines At the start of the lesson students recap […]
In this blog I will share some practical tips for using mini-whiteboards in a mathematics lesson. I use mini-whiteboards nearly every lesson because they help the students show me the progress they are making. When I understand what the misconceptions are I am able to address them in subsequent examples as part of my feedback. […]
Demonstrating student progression during a mathematics lesson is about understanding the learning objective and breaking that down into explicit success criteria. Using Success Criteria Take, for example, a lesson on calculating the area of compound rectilinear shapes. The intended learning objective was written on the main whiteboard. Success criteria were used to break down the individual […]