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Teaching
 Fractions
Using Visuals
        Peggy Foo
Marshall 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)

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Teaching Fractions using Visuals

  • 1. Teaching Fractions Using Visuals Peggy Foo Marshall Cavendish Institute
  • 2. 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)
  • 3. 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
  • 4. Mixed Numbers and Improper Fractions • Watch a video
  • 5. Multiplication of Fractions (Concrete) • Find the value of 1/2 x 2/3 • Find the value of ¾ x 2/3
  • 6. 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?
  • 7. Division by a whole number (concrete) • Share ¾ of a cake equally among 4 persons • What fraction of the cake does each person get?
  • 8. Question? • Fraction ÷ Whole number = answer (smaller) • Fraction ÷ Fraction = answer (bigger or smaller?)
  • 9. 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?
  • 10. Challenging Word Problem
  • 11. Summary • Using visuals to teach fractions to enhance conceptual understanding • Concrete (fraction discs, stripes) • Pictorial (bar model) • Abstract (symbols and notions)