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When an odd number is multiplied with an odd number, the result is an odd number. To teach this fact, what method will you follow?
- a)Inductive
- b)Deductive
- c)Analytic
- d)Synthetic
Correct answer is option 'A'. Can you explain this answer?
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When an odd number is multiplied with an odd number, the result is an ...
Inductive instruction makes use of student noticing. Instead of explaining a given concept and following this explanation with examples, the teacher presents students with many examples showing how the concept is used. The intent is for students to notice, by way of the examples, how the concept works.
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When an odd number is multiplied with an odd number, the result is an ...
Inductive Reasoning
Inductive reasoning is a method of teaching that involves observing patterns or examples and drawing conclusions based on those observations. It is often used to teach general principles or facts by providing specific examples. In this case, the fact that when an odd number is multiplied with an odd number, the result is an odd number can be taught using inductive reasoning.
Explanation:
Observation: Start by providing a few examples to the students to observe and analyze:
- Example 1: 3 x 3 = 9 (odd x odd = odd)
- Example 2: 5 x 5 = 25 (odd x odd = odd)
- Example 3: 7 x 7 = 49 (odd x odd = odd)
Pattern: Ask the students to analyze the examples and identify any patterns or similarities. They should notice that in each example, when an odd number is multiplied by an odd number, the result is always an odd number.
Generalization: Based on the observed pattern, guide the students to make a generalization or conclusion. In this case, the generalization is that when any odd number is multiplied by another odd number, the result will always be an odd number.
Verification: To further reinforce the concept, provide additional examples for the students to test the generalization:
- Example 4: 9 x 9 = 81 (odd x odd = odd)
- Example 5: 11 x 11 = 121 (odd x odd = odd)
- Example 6: 13 x 13 = 169 (odd x odd = odd)
By using inductive reasoning, the students can observe specific examples, identify patterns, make generalizations, and verify their conclusions through additional examples. This method allows students to actively engage in the learning process and develop a deeper understanding of the concept.
Inductive reasoning is a method of teaching that involves observing patterns or examples and drawing conclusions based on those observations. It is often used to teach general principles or facts by providing specific examples. In this case, the fact that when an odd number is multiplied with an odd number, the result is an odd number can be taught using inductive reasoning.
Explanation:
Observation: Start by providing a few examples to the students to observe and analyze:
- Example 1: 3 x 3 = 9 (odd x odd = odd)
- Example 2: 5 x 5 = 25 (odd x odd = odd)
- Example 3: 7 x 7 = 49 (odd x odd = odd)
Pattern: Ask the students to analyze the examples and identify any patterns or similarities. They should notice that in each example, when an odd number is multiplied by an odd number, the result is always an odd number.
Generalization: Based on the observed pattern, guide the students to make a generalization or conclusion. In this case, the generalization is that when any odd number is multiplied by another odd number, the result will always be an odd number.
Verification: To further reinforce the concept, provide additional examples for the students to test the generalization:
- Example 4: 9 x 9 = 81 (odd x odd = odd)
- Example 5: 11 x 11 = 121 (odd x odd = odd)
- Example 6: 13 x 13 = 169 (odd x odd = odd)
By using inductive reasoning, the students can observe specific examples, identify patterns, make generalizations, and verify their conclusions through additional examples. This method allows students to actively engage in the learning process and develop a deeper understanding of the concept.
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When an odd number is multiplied with an odd number, the result is an odd number. To teach this fact, what method will you follow?a)Inductiveb)Deductivec)Analyticd)SyntheticCorrect answer is option 'A'. Can you explain this answer?
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