The "Math Lab Approach" in mathematics EDUCATION
- 1. MATH LAB APPROACH IN PRIMARY MATHEMATICS
- 2. LEARNING BY DOING • • Promotes active engagement and hands-on exploration • • Based on Piaget’s theory of constructivism • • Encourages deep understanding through doing • • CRA Model: Concrete → Representational → Abstract
- 3. CRA EXAMPLE: PLACE VALUE •• Concrete: Base-ten blocks to show 123 •• Representational: Draw blocks (100 + 20 + 3) •• Abstract: Write number symbolically as 123
- 4. UNDERSTANDING THE CRA SEQUENCE • Concrete: Hands-on manipulation (e.g. blocks, paper shapes) • Representation: Drawings, diagrams • Abstract: Symbols, numbers, equations
- 5. EXAMPLES OF TOOLS FOR CRA •Base-10 blocks, fraction kits, tangrams, geoboards •Visual models: bar diagrams, number lines •Abstract representation: equations, symbols
- 6. ACTIVITY + DISCUSSION • Watch video of CRA in action (students working) • Group discussion: Why do students struggle with abstract math?
- 7. WHAT IS A MATH LAB? • • A space or setup for learning math through activities • • Can be mobile or classroom-based • • Focuses on learning by doing with manipulatives
- 9. STEPS TO PLAN A MATH LAB ACTIVITY • 1. Identify learning objective • 2. Choose manipulatives/tools • 3. Plan student interaction & scaffolding • 4. Predict possible misconceptions • 5. Include assessment/reflection
- 10. EXAMPLE TOPICS FOR ACTIVITIES • Fractions with paper folding • Area using grid paper • Patterns with coloured beads or shapes
- 12. LEARNING FRACTIONS WITH CRA •Goal: Experience math as a student •Focus: Understanding fractions conceptually
- 13. STEP 1 – CONCRETE STAGE • Activity: Create 1/2, 1/4, 1/3 using paper plates or fraction circles • Discuss: What do you observe when comparing sizes?
- 14. STEP 2 – REPRESENTATION STAGE • Activity: Draw visual models for fractions • Use bar models, circle models • Pair share: How does the drawing reinforce your understanding?
- 15. STEP 3 – ABSTRACT STAGE • Solve problems using symbols only: • 1/2 + 1/4 = ? • 3/4 of 8 = ? • Order: 1/2, 1/4, 1/3
- 16. MERITS VS DEMERITS • Merits: • ✓ Engages learners actively • ✓ Supports conceptual understanding • ✓ Joyful & collaborative learning • Demerits: • ✗ Time-consuming • ✗ Requires preparation and materials • ✗ Classroom management challenges
- 17. COMMON QUESTIONS & TIPS • What if I have no lab room? → Use corners or mobile kits • How to manage large classes? → Small group rotations • How to assess? → Observe, discuss, check outcomes
- 18. REFLECTION & APPLICATION • • Plan one Math Lab activity for your future classroom • • Share your idea with peers • • Reflect on how it supports learning by doing