Answer to Question #206252 in Discrete Mathematics for Rebaona

Question

12

Question 3: Mathematical proficiency and the construction of mathematics ideas.

To answer this question, you need to complete the table below, and also study paragraphs 

2.7-2.13 in the study guide: the most important is that you understand what are

• constructivism and behaviourism; 

• inductive and deductive thinking; 

• instrumental and relational understanding; 

• conceptual and procedural knowledge; and 

• elements of mathematics proficiency.

Complete the table below:

a) How would a constructivist teacher explain (2)

b) Label the following two statements: inductive reasoning or deductive reasoning:

• 17 and 5 are prime numbers, so all odd numbers are prime numbers 

• The interior angles of any triangle add up to 180˚, so a right triangle’s two other 

angles are both acute, because they add up to 90˚

Answer 1

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