## Text-Based Instructions and Examples
### Overview
The image presents a set of instructions for an AI model to act as a math teacher, evaluating the correctness of solution steps to mathematical problems. It includes example questions and steps, labeled as either correct (+) or incorrect (-), to guide the AI's judgment.
### Components/Axes
The image is structured into the following sections:
1. **System:** Instructions for the AI model.
2. **Input:** Contains reference questions and a target question with solution steps.
* Reference Question 1
* Reference Question 2
* Target Question
3. **Output:** The AI's evaluation of the target question's steps.
### Detailed Analysis or ### Content Details
**System:**
* The AI is instructed to act as a math teacher.
* The AI must judge the correctness of solution steps.
* Correct steps are labeled "+", incorrect steps are labeled "-".
* If there is no relevant or helpful information, the AI should try to answer itself.
**Input:**
* **Reference Question 1:**
* Question: "What is the equivalent number of seconds in 7.8 minutes?"
* Process: "Since there are 60 seconds in a minute, we can find the number of seconds by multiplying the number of minutes by 60. (+) So, 7.8 minutes is equal to 7.8 \* 60 = 46 seconds. The answer is: 46 (-)"
* The initial statement about multiplying by 60 is marked as correct (+).
* The final answer of 46 seconds is marked as incorrect (-).
* **Reference Question 2:**
* Content is elided ("...")
* **Target Question:**
* Question: "How many seconds are in 5.5 minutes?"
* Process:
* Step 1: "5.5 minutes is the same as 5 minutes and 0.5 minutes."
* Step 2: "Since there are 60 seconds in a minute, then there are 300 seconds in 5 minutes."
* **Reference Step 1:**
* "0.3 hours equal to 0.3 \* 60 = 18 minutes. This reference step is correct."
* **Reference Step 2:**
* Content is elided ("...")
* **Target Step 3:**
* "And since there are 60 seconds in a minute, there are 30 seconds in 0.5 minutes."
* "Is the Step Correct? You should ONLY tell me + or -."
**Output:**
* The AI's response: "+".
### Key Observations
* Reference Question 1 contains an error in the final calculation, despite the correct initial approach. 7.8 * 60 = 468, not 46.
* The AI correctly identifies Target Step 3 as correct.
### Interpretation
The image provides a test case for an AI model designed to evaluate mathematical problem-solving steps. The reference questions serve as examples, demonstrating how to identify correct and incorrect steps. The target question and its steps are then presented for the AI to evaluate. The AI's output indicates its ability to correctly assess the validity of the provided steps based on the given instructions and examples. The error in Reference Question 1 serves as a negative example, highlighting the importance of accurate calculations.
