1. Chapter 2: Problem Solving1 Chapter 2 Problem Solving

2. Chapter 2Problem Solving2 How To Solve It

3. Chapter 2Problem Solving Process3 qPhase 1: Understanding the problem qPhase 2: Devising a plan qPhase 3: Carrying out the plan qPhase 4: Looking back

4. Chapter 2Phase 1: Understanding the problem 4 1: Understanding the problem qWhat is the unknown? What are the data? qWhat is the condition? Is it possible to satisfy the condition? Is the condition sufficient to determine the unknown? qDraw a figure. Introduce suitable notation.

5. Chapter 2Phase 2: Devising a plan5 2: Devising a plan qHow you seen the problem before? Do you know a related problem? qLook at the unknown. Think of a problem having the same or similar unknown. qSplit the problem into smaller sub-problems. qIf you can’t solve it, solve a more general version, or a special case, or part of it.

6. Chapter 2Phase 3: Carrying out the plan6 3: Carrying out the plan qCarry out your plan of the solution. Check each step. qCan you see clearly that the step is correct? qCan you prove that it is correct?

7. Chapter 2Phase 4: Looking back7 4: Looking back qCan you check the result? qCan you derive the result differently? qCan you use the result, or the method, for some other problem?

8. Chapter 2Area of circle8 qWhat is the data? Side of square = 2a qWhat is the unknown? Area of circle, C. qWhat is the condition? If radius r is known, C can be calculated. qHow to obtain r? 2a2a

9. Chapter 2Area of circle9 qPythagoras’ theorem r 2 = 2 * a 2 qArea of circle C =  * r 2 =  * 2 * a 2 a a r

10. Chapter 2Pascal's triangle10 Pascal’s triangle 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 n C k = n! / (k! * (n-k)!)

11. Chapter 2NE-paths11 NE-paths qTo find number of NE-paths between any two points. C A

12. Chapter 2Creative thinking12 Creative thinking Most new discoveries are suddenly-seen things that were always there. A new idea is a light that illuminates presences while simply had no form for us before the light fell on them. Susan Langer

13. Chapter 2Creative thinking13 Creative thinking Myths qCreativity requires genius qYou have to be odd qCreative thinking isn’t rigorous, but uses simple processes

14. Chapter 2Homework14 Homework Try exercises behind chapter 2.