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Which of the following is an indicator o...

Which of the following is an indicator of mathematical reasoning?

A

Ability to provide definitions of mathematical concepts

B

Ability to provide a justification for a mathematical procedure

C

Ability to calculate efficiently

D

Ability to recall the correct formulae in different situations

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following is an indicator of mathematical reasoning, we will analyze each option step by step. ### Step 1: Understand the Options We have four options to consider: 1. The ability to provide definitions of mathematical concepts. 2. The ability to provide justification for mathematical procedures. 3. The ability to calculate efficiently. 4. The ability to calculate the correct formula in different situations. ### Step 2: Analyze Each Option - **Option 1: The ability to provide definitions of mathematical concepts** - While defining concepts is important, it does not necessarily indicate reasoning. It shows understanding but not the ability to reason mathematically. - **Option 2: The ability to provide justification for mathematical procedures** - This option reflects a deeper understanding of mathematics. Justifying procedures involves explaining why a method works, which is a key aspect of mathematical reasoning. - **Option 3: The ability to calculate efficiently** - Efficiency in calculation is a skill, but it does not imply reasoning. One can calculate quickly without understanding the underlying principles. - **Option 4: The ability to calculate the correct formula in different situations** - This indicates adaptability but does not necessarily involve reasoning. Knowing when to apply a formula is different from understanding why it works. ### Step 3: Identify the Correct Option Based on the analysis, the best indicator of mathematical reasoning is **Option 2: The ability to provide justification for mathematical procedures**. This involves critical thinking and understanding the rationale behind mathematical methods. ### Conclusion Thus, the correct answer is **Option 2**. ---
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