Date post: | 30-Nov-2014 |
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Education |
Upload: | jimmy-keng |
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Teaching Fractions
Using Visuals
Peggy FooMarshall Cavendish Institute
Theories
• Concrete-Pictorial-Abstract Approach pedagogical model
• Enable students to visualize the concepts
• Build conceptual understanding before we teach the skill of computation (procedural understanding)
Fractions
• Represent a part-whole relationship
• Need to provide ample opportunities to make sense of fractions using concrete, pictorial representation so that they can understand the abstract concept of fractions
• Concrete materials– real objects, fraction discs, paper strips (folding)
• Pictorial representations– model bars
• Abstract - symbols and notions
Mixed Numbers and Improper Fractions
• Watch a video
Multiplication of Fractions (Concrete)
• Find the value of 1/2 x 2/3
• Find the value of ¾ x 2/3
Word Problem (Pictorial)
• Tom spent 2/5 of his money on a shirt and ½ of the remainder on a pair of pants. What fraction of his money had he left?
Division by a whole number (concrete)
• Share ¾ of a cake equally among 4 persons
• What fraction of the cake does each person get?
Question?
• Fraction ÷ Whole number = answer (smaller)
• Fraction ÷ Fraction = answer (bigger or smaller?)
Division by a fraction(concrete)
• Andrea wants to share 2/3 tub of ice-cream with his friends. She wants to give her friends 1/6 of a tub. How many friends can Andrea share the ice-cream with?
Challenging Word Problem
Summary
• Using visuals to teach fractions to enhance conceptual understanding
• Concrete (fraction discs, stripes)
• Pictorial (bar model)
• Abstract (symbols and notions)