Mathematics · Pedagogy of Mathematics
A middle school mathematics teacher wants to assess student learning on 'geometrical shapes' based on the Van Hiele levels of geometric reasoning. Match the levels in Column A with the corresponding geometric reasoning in Column B. Column AColumn B(a) Level 1 (Analysis)(i) The student is able to understand formal deduction and theorems.(b) Level 2 (Informal Deduction)(ii) The student is able to explore relationships between various figures based on their properties.(c) Level 3 (Deduction)(iii) The student is able to identify a figure based on its properties rather than just physical appearance.(d) Level 4 (Rigor)(iv) The student recognizes a figure based on its overall physical appearance.
- 1(a) - (iv), (b) - (ii), (c) - (iii), (d) - (i)
- 2(a) - (iii), (b) - (iv), (c) - (i), (d) - (ii)
- 3(a) - (ii), (b) - (i), (c) - (iii), (d) - (iv)
- 4(a) - (iii), (b) - (ii), (c) - (i), (d) - (iv)✓
Correct answer
(a) - (iii), (b) - (ii), (c) - (i), (d) - (iv)
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