What is the method of mathematics teaching in which the move is from unknown to known and in which the tendency to search is encouraged?

Correct option is B

S. Ans. (b)

Solution:
The analytic method of mathematics teaching emphasizes moving from the unknown to the known. It encourages students to search for solutions through reasoning, exploration, and logical deductions. The key features of this method include:

1. Breaking down the problem into smaller parts and analyzing each aspect.
2. Encouraging students to connect concepts by exploring possibilities and deriving conclusions logically.
3. Allowing learners to develop problem-solving skills independently, thus fostering curiosity and a tendency to search for answers.

Hence, the correct answer is (b) Analytic method.

Information Booster:

1. Analytic method is student-centered and develops critical thinking.
2. This approach aligns with constructivist learning theories, emphasizing exploration and discovery.
3. It involves questioning, hypothesizing, and testing ideas to reach conclusions.
4. Examples include solving equations step-by-step or proving theorems by deducing results from known facts.
5. Encourages logical reasoning and enhances cognitive abilities.
6. Frequently used in secondary and higher-level mathematics to build conceptual clarity.

Additional Information:

• (a) Synthetic method: Moves from known to unknown, combining parts to form a whole. Commonly used for presenting already established facts or theorems.
• (b) Analytic method: Starts with the unknown, encouraging exploration and logical deduction, ideal for problem-solving.
• (c) Project method: Involves hands-on, real-world tasks where students integrate multiple concepts to complete a project.
• (d) Laboratory method: Relies on using concrete materials or tools to explore mathematical concepts, focusing on experimental learning.