To establish, which type of correlation a mathematics teacher must have versatile knowledge of basic elements of different subjects?

Options

A. Incidental Correlation
B. Systematic Correlation
C. Both A and B
D. None of these

Answer

To establish which type of correlation a mathematics teacher must have versatile knowledge of basic elements of different subjects, we need to analyze the options provided and understand the concepts of incidental and systematic correlation.

### Step-by-Step Solution:

1. **Understanding Correlation Types**:
- **Incidental Correlation**: This type of correlation occurs when a teacher relates concepts from different subjects in a casual or unplanned manner. For example, a mathematics teacher might use a concept from science to explain a mathematical idea, but this connection is not structured or systematic.
- **Systematic Correlation**: This type involves a structured approach where the teacher deliberately integrates knowledge from various subjects in a coherent and organized way. For instance, a mathematics teacher might systematically incorporate principles from physics or economics to enhance the understanding of mathematical concepts.

2. **Analyzing the Question**:
The question asks for the type of correlation that requires a mathematics teacher to have versatile knowledge of basic elements from different subjects. This implies that the teacher needs to make connections that are not only incidental but also systematic.

3. **Evaluating the Options**:
- **Option A: Incidental Correlation** - This suggests a casual relationship, which may not require extensive knowledge of other subjects.
- **Option B: Systematic Correlation** - This requires a deeper understanding and the ability to connect concepts in a structured way.
- **Option C: Both** - This implies that both types of correlation are necessary.
- **Option D: None of them** - This suggests that neither type is relevant.

4. **Conclusion**:
Given that the question emphasizes the need for versatile knowledge, the best answer is **Option C: Both**. A mathematics teacher should be able to utilize both incidental and systematic correlations to effectively teach and relate mathematical concepts to other subjects.

### Final Answer:
The type of correlation a mathematics teacher must have versatile knowledge of basic elements of different subjects is **Both (Option C)**.