While divergent thinking
(1) encourages multiple answers; is fixed on one correct solution
(2) is fixed on one correct solution; encourages multiple answers
(3) Promotes mathematical abilities; promotes verbal abilities
(4) Promotes verbal abilities; promotes mathematical abilities

Question

Accepted Answer

Option 1 is the correct answer: "encourages multiple answers; is fixed on one correct solution." This option accurately describes the nature of divergent thinking and its contrast with convergent thinking.

1. **Explanation for Option 1:**
   - **Divergent Thinking:** This is a thought process used to generate creative ideas by exploring many possible solutions. It encourages multiple answers and is characterized by the ability to see various perspectives and possibilities. Divergent thinking is often used in brainstorming sessions where the goal is to generate a wide range of ideas or solutions.
   - **Convergent Thinking:** In contrast, convergent thinking is focused on finding a single, correct solution to a problem. It involves logical reasoning and is often used in situations where there is a clear, correct answer, such as in mathematical problems or standardized tests.

2. **Explanation for why other options are incorrect:**

- **Option 2: "is fixed on one correct solution; encourages multiple answers"**
     - This option incorrectly reverses the characteristics of divergent and convergent thinking. Divergent thinking is not about being fixed on one correct solution; rather, it is about exploring multiple possibilities. Conversely, convergent thinking is the one that focuses on finding a single correct answer.

- **Option 3: "Promotes mathematical abilities; promotes verbal abilities"**
     - This option does not accurately describe the nature of divergent thinking. While mathematical abilities can involve both divergent and convergent thinking, divergent thinking is not specifically about promoting mathematical abilities. It is more about creativity and generating multiple ideas, which can apply to various fields, not just mathematics.

- **Option 4: "Promotes verbal abilities; promotes mathematical abilities"**
     - Similar to Option 3, this option does not capture the essence of divergent thinking. Divergent thinking is not limited to promoting verbal abilities; it is a broader cognitive process that encourages creativity and the generation of multiple ideas across different domains, not specifically tied to verbal or mathematical abilities.

In summary, Option 1 correctly identifies the essence of divergent thinking as encouraging multiple answers, contrasting with convergent thinking, which is fixed on one correct solution. The other options fail to accurately describe this distinction.