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A hands-on approach to Higher Maths

First presented at the Mathematical Association conference in Stirling on 3/9/16

Stuart Welsh

on 18 June 2017

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Transcript of A hands-on approach to Higher Maths

A hands-on approach to Higher
Getting started
Re-arrange the furniture

Mini whiteboards

Card matching

Posters to stimulate thinking
Core principles
Build on prior knowledge

Create connections

Expose and discuss common misconceptions

Emphasize methods, not answers

Develop effective questioning

Use cooperative small group work

Use rich collaborative tasks
Rich collaborative tasks
Low floor, high ceiling

Allow decision making

Learners test, prove, explain, reflect and interpret

Promote discussion and communication

Encourage originality and invention

Enjoyable and may contain "surprises"
Culture shift
Learning: "passive" to "active"

Teaching: "transmit" to "challenge"
Use Technology in Appropriate Ways
Creating Problems
Go for it!
Classifying mathematical objects

Interpreting multiple representations

Evaluating mathematical statements

Creating problems

Analyzing reasoning and solutions
Malcolm Swan
Improving Learning in Mathematics

Standards Unit
Stuart Welsh

Classifying Mathematical Objects

Odd one out
Interpreting Multiple Representations
Mathematical Statements
True / False

Always, sometimes, never true

Explain, convince, prove
Analyzing Reasoning and Solutions
Comparing different solution strategies

Putting reasoning in order

Correcting mistakes in reasoning
Connecting perpendicular lines A10
Exploring Trig Graphs A12
Factorising Cubics A11
Challenging but must be solved by writer

"doing" and "undoing" problems

Variations of existing questions
Card matching

Simplifying Logs A13
Matching Functions C3


Full transcript