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Margaret
M1 Channelling students' ideas
In this clip, Margaret uses a grid of numbers to get students to think about multiplicative relationships. The ultimate aim is to look at relationships between different sequences. She does this by asking for a range of contributions from students and adjusts the direction of the exposition according to what they offer. She then asks them to shift from looking at 'any' relationships, such as those between terms, to relationships between sequences specifically. This process could be described as gathering the various strands of students' ideas and then indicating the new, sharper, focus she wants them to have away from term-to-term relationships.
M2 Pushing for harder stuff
Margaret makes it clear that although different ways of seeing mathematical relationships are true and valid, she wants them to focus on multiplicative relationships. Having established this with one relationship, she then expects the next answer to reflect this new awareness.
M3 Real-life examples
In order to motivate an understanding of proportionality, Margaret generates discussion by asking students to think about real-life situations in which an increase in one variable is associated with an increase in another variable
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