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Teach Dispositions For Maths
* This includes teaching what the School Values look like in maths learning (we care, we get there together, we love challenge)
* This includes teaching what the Key Competencies look like in maths learning
* This includes that maths needs fast thinking (e.g. basic facts) but also a lot of slow thinking (place value on this when discussing with students), like maths inquiry
Represent maths concepts in familiar and unfamiliar ways
e.g. using mixed fractions, using a wide vocabulary
Inquiry Maths
* provides multiple solutions and pathways
* provide extension, i.e. an extra challenge, organising and setting out all the answers you can find, join two groups/students with different answers and ask them to talk, compare, contrast, justify etc
* enable students to solve or attempt to solve independently (do this by pre-teaching some content, reduce the number of steps, change the way it is represented, simplify the numbers, provide a material aid e.g. number line)
* is open to discussion, justification and query
* can be individual or group based
* let students make choices and undertake sustained learning
* can utilise resources, e.g. NZ Maths Rich Tasks
Useful Teaching & Learning Strategies
* Move & prove e.g. One quarter of 8 is (a) 4 (b) 1 (c) 2 (d) 7 - students move to a corner of room and then discuss/justify answers as a group. Children can listen to another's answer and choose to change their response (and move to a different corner/number)
* Show what you know e.g. show everything you know about 305, using think boards etc
* Give students several worked through answers to a problem (i.e. work samples from a previous problem) and ask them to rate in order (i.e. what shows the most maths thinking)
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