Mathematics · Mathematics Pedagogy
A middle school mathematics teacher poses the following question to her class: 'In Class 1, the ratio of girls to boys is 4:3. In Class 2, the ratio is 8:6. Suppose each class has 28 students. Are these ratios equivalent?' She gets two responses: Student 1 uses a visual diagram grouping GGGG and BBB together repeatedly to show equivalence. Student 2 writes 86 = 4 × 23 × 2 = 43. The teacher should:
- 1give full marks to both the students but ask student 1 to discuss the formal strategy with student 2 for future use.
- 2give zero marks to student 1 as mathematical problems should be represented by numerical symbols only.
- 3give full marks to both the students but advise student 1 not to use this method in a written examination.
- 4give full marks to both the students as both the methods are different but correct to solve the problem.✓
Correct answer
give full marks to both the students as both the methods are different but correct to solve the problem.
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