| """
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| Explanation Generation
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| Generates natural language explanations for errors found
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| Provides educational context and learning suggestions
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| """
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|
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| from typing import Dict, Any
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| def generate_explanation(error: Dict[str, Any]) -> str:
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| """
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| Generate human-readable explanation for an error.
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|
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| Args:
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| error: Error dictionary with type, found, correct, step_number, etc.
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|
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| Returns:
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| Natural language explanation string (2-3 sentences)
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| """
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| error_type = error.get("type", "unknown")
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| found = error.get("found", "")
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| correct = error.get("correct", "")
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| operation = error.get("operation", "")
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| step_number = error.get("step_number", 0)
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| import re
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| found_nums = re.findall(r'\d+\.?\d*', found)
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| correct_nums = re.findall(r'\d+\.?\d*', correct)
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| if error_type == "calculation_error":
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| explanation = _explain_arithmetic_error(found, correct, operation, found_nums, correct_nums)
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| elif error_type == "logical_error":
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| explanation = _explain_logical_error(error, step_number)
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| elif error_type == "operation_mismatch":
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| explanation = _explain_operation_mismatch(error, found, correct)
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| elif error_type == "semantic_error":
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| explanation = _explain_semantic_error(error, found, correct)
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| else:
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| explanation = _explain_generic_error(found, correct)
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| learning_tip = _get_learning_tip(error_type, operation)
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| if learning_tip:
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| explanation += f" {learning_tip}"
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|
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| return explanation
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| def _explain_arithmetic_error(found: str, correct: str, operation: str, found_nums: list, correct_nums: list) -> str:
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| """Explain arithmetic calculation errors."""
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| if not found_nums or not correct_nums:
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| return f"You wrote '{found}', but the correct answer is '{correct}'."
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| try:
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| found_result = float(found_nums[-1]) if found_nums else 0
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| correct_result = float(correct_nums[-1]) if correct_nums else 0
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|
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| if len(found_nums) >= 2:
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| operand1 = float(found_nums[0])
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| operand2 = float(found_nums[1])
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|
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| op_names = {
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| '+': 'add',
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| '-': 'subtract',
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| '*': 'multiply',
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| '/': 'divide'
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| }
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| op_name = op_names.get(operation, 'calculate')
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|
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| explanation = f"You wrote {found_result}, but {operand1} {operation} {operand2} actually equals {correct_result}. "
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| if operation == '+':
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| explanation += f"When you add {operand2} to {operand1}, you get {correct_result}, not {found_result}."
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| elif operation == '-':
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| explanation += f"When you subtract {operand2} from {operand1}, you count down: {operand1}, {correct_result}. So {operand1} - {operand2} = {correct_result}, not {found_result}."
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| elif operation == '*':
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| explanation += f"When you multiply {operand1} by {operand2}, you get {correct_result}, not {found_result}."
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| elif operation == '/':
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| explanation += f"When you divide {operand1} by {operand2}, you get {correct_result}, not {found_result}."
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| else:
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| explanation += f"The correct calculation gives {correct_result}, not {found_result}."
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|
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| return explanation
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| except:
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| pass
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|
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| return f"You wrote '{found}', but the correct answer is '{correct}'."
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| def _explain_logical_error(error: Dict[str, Any], step_number: int) -> str:
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| """Explain logical consistency errors."""
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| description = error.get("description", "There is a logical inconsistency in your reasoning.")
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|
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| explanation = f"In step {step_number}, {description.lower()} "
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| explanation += "This contradicts your earlier statements or creates circular reasoning."
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| return explanation
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| def _explain_operation_mismatch(error: Dict[str, Any], found: str, correct: str) -> str:
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| """Explain operation mismatch errors."""
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| description = error.get("description", "The operation doesn't match what you described.")
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|
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| explanation = f"{description} "
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| explanation += "Make sure the mathematical operation matches what you're trying to do in the problem."
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| return explanation
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| def _explain_semantic_error(error: Dict[str, Any], found: str, correct: str) -> str:
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| """Explain semantic inconsistency errors."""
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| description = error.get("description", "The meaning doesn't match the mathematical expression.")
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|
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| explanation = f"{description} "
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| explanation += "Review the step to ensure it follows logically from the previous steps."
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| return explanation
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| def _explain_generic_error(found: str, correct: str) -> str:
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| """Generic error explanation."""
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| return f"You wrote '{found}', but the correct answer should be '{correct}'. Please review your calculation."
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| def _get_learning_tip(error_type: str, operation: str) -> str:
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| """Get learning tip based on error type."""
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| tips = {
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| "calculation_error": "Try double-checking your arithmetic by working through the problem step by step.",
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| "logical_error": "Make sure each step follows logically from the previous one and doesn't contradict earlier statements.",
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| "operation_mismatch": "Before writing the math, think about which operation matches what you're trying to do.",
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| "semantic_error": "Review how this step connects to the overall problem and previous steps."
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| }
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| return tips.get(error_type, "Practice similar problems to improve your understanding.")
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|