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Module 9 - Supportive Learning Environment (Strategies (Trivia,…
Module 9 - Supportive Learning Environment
Improving Maths appreciation
Creating a warm-demanding classroom env
Focus on promoting good class relationships - "Have a go"
Sense of equity
Attend to physical env
Use productive Pedagogy - Intellectual quality through higher order thinking, deep knowledge, deep understanding, and substantive conversation. Ensure Relevance (Connectedness) by injecting real life examples, problem solving and integration of knowledge.
Insist on quality work (Tidy)
Avoid destructive competition
Celebrate acheivements
Strategies
Trivia
Children's Literature
Mathemagic
Physical and virtual manipulatives
Contextualising Maths
Games and Puzzles
Cross-curricular links
Flipping the classroom
Provide interesting problems
Contextualising
When am I going to use this? Sometimes obscure ie. the knot theory used in fighting viruses
Problem Solving and Reasoning
Four criteria for math problems
Perplexing situation that student understands
Student is interested in finding solution
Student unable to proceed directly to solution
Solution requires use of mathematical ideas
Students must do more than follow a previously learned procedure
Tasks have relevance to real world
Dev proficiency with content strands
Open vs closed questions - ie what is 8+7 vs what numbers add to make 15?
Strategies
Understanding the Problem
Devising a plan
Guess and check
Simplify the problem
List all possibilities
Act it out
Draw a diagram
Make a model
Construct a table
Look for a pattern
Consider a similar problem
Work Backwards
Apply strategies
Verify that answers are reasonable
Content vs Proficiencies
Concepts - identifies triangles
Facts: Knows triangles have 3 sides
Skills: Can find perimeter of triangle
Reasoning and Logic
"What would happen if.."
Sorting & Classifying
Investigations
Strategy games
Reasoning mathematically
Explain thinking
Deduce and justify strategies
Adapt the known to the unknown
Transfer learning from contexts
Prove something true or false
Compare and contrast related ideas and explain choices