What sequence of the following instructions should be followed in development of a mathematical concept in elementary classes?
I. Drawing pictures
II. Using symbolic represtation
III. Providing experience
IV. Explaining through language

Question

Accepted Answer

Option 2, which follows the sequence III, IV, I, II, is the correct approach for developing a mathematical concept in elementary classes. Here's a detailed explanation of why this sequence is appropriate:

1. **Providing Experience (III):** The first step in developing a mathematical concept is to provide students with concrete experiences. This involves engaging students in hands-on activities that allow them to explore and interact with the concept in a tangible way. By doing so, students can build a foundational understanding based on real-world experiences, which is crucial for grasping abstract mathematical ideas.

2. **Explaining through Language (IV):** Once students have had the opportunity to experience the concept, the next step is to explain it through language. This involves discussing the concept, using appropriate vocabulary, and helping students articulate their understanding. Language serves as a bridge between concrete experiences and abstract thinking, allowing students to make sense of what they have observed and experienced.

3. **Drawing Pictures (I):** After students have a basic understanding through experience and language, they can begin to represent the concept visually by drawing pictures. Visual representations help students to organize their thoughts and see the relationships between different elements of the concept. This step is crucial for reinforcing understanding and aiding memory retention.

4. **Using Symbolic Representation (II):** The final step is to introduce symbolic representation, such as numbers and mathematical symbols. This is where students learn to express the concept in the formal language of mathematics. By this stage, students have a solid understanding of the concept through experience, language, and visual representation, making it easier for them to grasp the abstract symbols and operations.

Now, let's explain why the other options are incorrect:

- **Option 1 (IV, III, I, II):** This sequence starts with explaining through language, which may not be effective if students haven't had any concrete experiences to relate to. Without a foundational experience, students might find it difficult to understand the explanations. Starting with experience (as in Option 2) is more effective.

- **Option 3 (IV, III, II, I):** This option suggests moving from language to experience, then directly to symbolic representation, and finally to drawing pictures. Introducing symbols before visual representations can be challenging for students, as they may not have a clear mental image of the concept yet.

- **Option 4 (III, I, II, IV):** This sequence suggests moving from experience to drawing pictures, then to symbolic representation, and finally to language. Introducing symbols before language can be confusing, as students need the language to understand and communicate the meaning of the symbols effectively.

In conclusion, Option 2 is the most logical and effective sequence for developing a mathematical concept in elementary classes, as it builds understanding progressively from concrete experiences to abstract symbolic representation.