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In teaching mathematics, an "axiomatic m...

In teaching mathematics, an "axiomatic methods" does not include

A

euclidean method

B

non-euclidean method

C

genetic method

D

formal axiomatic method

Text Solution

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The correct Answer is:
To solve the question, we need to understand the concept of "axiomatic methods" in teaching mathematics and identify which option does not fit within this framework. ### Step-by-Step Solution: 1. **Understanding Axiomatic Methods**: - The axiomatic method is a logical framework where a system is built based on a set of axioms or postulates. These are fundamental statements assumed to be true without proof. - The entire mathematical structure is derived from these basic propositions through logical deductions. **Hint**: Remember that axiomatic methods rely on foundational truths (axioms) to build further knowledge. 2. **Identifying Components of Axiomatic Methods**: - Axiomatic methods typically involve two types: - **Occluded Method**: This includes both axioms and postulates. - **Non-Occluded Method**: This does not include any axioms or postulates. **Hint**: Distinguish between the types of methods based on the presence or absence of axioms and postulates. 3. **Determining What is Not Included**: - Since the question asks for what does not belong to the axiomatic methods, we focus on the non-occluded method, which explicitly lacks axioms or postulates. - Therefore, the non-occluded method is the correct answer as it does not fit within the axiomatic framework. **Hint**: Look for the option that explicitly states the absence of foundational truths, as that will be the answer. ### Final Answer: The "axiomatic methods" in teaching mathematics does not include the **non-occluded method**.
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