4. Exercise vs Problem
Exercise Problem
Complex
Simple, straightforward
Novel
Familiar
Do not have routine
Use routine procedures
procedures
5. Problem Solving Approach
Does not always have to come after teaching of basic
concepts and skills
Can take place at the beginning of a topic to teach basic
concepts
Teaching through problem solving
6. Teaching through Problem Solving
Problem 1
Find different ways to represent halves and quarters?
7. Who is correct?
Problem 2
Allen thinks that ¼ of the rectangle is shaded. Sherlyn
thinks that Allen is wrong because the triangles are different?
8. Learning Points
Allen is correct.
Each equal part can be identical (same size and shape)
Each equal part can also be of the same size but different
shape
9. Example
4 parts are in equal size when the shapes are different.
10. Who is correct
Problem 3:
From the previous task, Allen concludes that ½ is bigger than
¼. Sherlyn thinks Allen is wrong again.
11. Learning Points
Allen is wrong.
½ may not be bigger than ¼.
It depends on the quantity of the whole used.
12. Equivalent Fractions
Fold a piece of paper into 4 equal parts
Show 3 fourths
Fold the same strip into 8 equal parts.
How many eighths are equal to 3 fourths?
How many twelfths are equal to 3 fourths?
13. Mixed Numbers
Share 1 cake equally among 4 children
Share 3 cakes equally among 4 children
Share 5 cakes equally among 4 children
Hinweis der Redaktion
Which is your favourite answer? How do you know they are halves? They are of the same size and shape (identical)
Give paper strips But the equivalent fractions together Multiplying and dividing the numerator and denominator by the same number