Week 11 - Problem Solving

Question 1

Routine problem

Answer 1

Algorithm translated into language requiring an obvious solution

Question 2

Non routine problem

Answer 2

Open task - a problem without an obvious solution

Question 3

What is the polya framework

Answer 3

1. Understand the problem
2. Devise a plan
3. Carry out the plan
4. Reflect on your workies

Question 4

Problem solving strategies

Answer 4

Guess and check

Draw a diagram

Make a table

Use easier numbers

Work backwards

Use materials

Question 5

Role as teacher in problem solving

Answer 5

Teach students various strategies

Present scenarios where they can use different strategies

Model problem solving behaviours in maths and in classroom in general

Question 6

Why teach problem solving skills

Answer 6

Purpose of mathematics

Philosophical/educational view

Life skills

Educational psychology

Question 7

Definition of problem solving

Answer 7

Finding the unknown means to an end and thinking about how to do it

Question 8

Polya framework

Answer 8

• see, plan, do, check

Understand problem

Devise a plan

Carry out the plan

Reflect on your work

Question 9

Types of way to pose problem solving

Answer 9

Word problems

Application problems

Routine problems

Non routine problems

Multi step problems

Question 10

Van de walle phases

Answer 10

1. Before - understand what is required - mental preparation
2. During - let go, listen, hints, teacher scaffolding and peer work
3. After - discussion, evaluate and summarise

Question 11

Problem solving resources

Answer 11

Puzzle books and games

Think tanks

Apps

Thinking exercises