Which among the following is/are part of the key processes required for developing creative thinking in mathematics ?
A. Recognising patterns and relationships
B. Formulating hypotheses
C. Using a given formula to solve problems

Correct option is A

Creative thinking in mathematics involves the ability to recognize patterns, relationships, and make conjectures. It also involves formulating hypotheses and testing their validity. Using a given formula to solve problems is a mechanical skill and does not necessarily involve creative thinking.

Creative thinking in mathematics involves processes that encourage exploration, discovery, and innovative problem-solving.

• (A) Recognising patterns and relationships: Recognizing patterns is foundational to mathematical creativity, as it helps in forming connections and deriving new insights.
• (B) Formulating hypotheses: Hypothesis formulation fosters creative thinking by encouraging students to predict outcomes and test their ideas.
• (C) Using a given formula to solve problems: While important, this process emphasizes application rather than creativity, as it involves following prescribed steps rather than exploring new methods.

Hence, the correct answer is (a) A and B.

Explanation

1. Recognising patterns and relationships: This is crucial for identifying trends, developing conjectures, and creating new strategies in problem-solving.
2. Formulating hypotheses: This involves logical reasoning and innovation, helping students to explore "what if" scenarios and experiment with ideas.
3. Using a given formula: This is more procedural than creative, as it focuses on applying existing knowledge rather than generating new ideas.

Information Booster

• Key Processes in Developing Creative Thinking in Mathematics:

  1. Observing and identifying patterns.
  2. Exploring relationships and structures.
  3. Experimenting with numbers, shapes, and concepts.
  4. Formulating and testing hypotheses.
  5. Inventing new strategies or methods.

• Benefits of Creative Thinking in Mathematics:

  • Enhances problem-solving skills.
  • Encourages out-of-the-box thinking.
  • Builds deeper understanding and enjoyment of mathematics.

Additional Information

• Recognising patterns (A): Builds the foundation for algebra, geometry, and number theory.
• Formulating hypotheses (B): Encourages exploration and discovery.
• Using a given formula (C): While essential for efficiency, it lacks the exploratory nature of creative thinking.