| {"qid": "5000794", "scenario": "3", "question": "Bruno wants to buy two and one-half dozens of pens. How many pens will he have?", "ground_truth": "Since a dozen is equal to 12, then two dozens are equal to 12 x 2= 24.\\nOne-half dozen is equal to 12/2 = 6.\\nThus, Bruno will have a total of 24 + 6 = 30 pens.\\n 30", "student_incorrect_solution": "One dozen is equal to 12, so two dozens is equal to 2 x 12 = 24 pens.\\nHalf of a dozen is equal to 6, so half of 12 is equal to 6 and half of a dozen is equal to 6.\\nTherefore, one and a half dozen is equal to 1 x 12 + 6 = 18 pens.\\nThus, two and one-half dozens of pens is equal to 24 + 18 = 42 pens.\\n 42", "student_profile": "Steven is a 7th grade student. He has problem with understanding of underlying ideas and principles and a recognition of when to apply them.", "teacher_described_confusion": "student calculated the number of units in 2 dozens and half dozens correctly. but then kept fixated on the fact there were 42 pens", "self-correctness": "No", "self-typical-confusion": "1", "self-typical-interactions": "1", "conversation": "Teacher: (generic)Hi , could you please walk me through your solution?|EOM|Student: Sure! I started by figuring out that one dozen is equal to 12, so two dozens is equal to 2 x 12 = 24 pens. Then, I figured out that half of a dozen is equal to 6, so half of 12 is equal to 6 and half of a dozen is equal to 6. After that, I calculated that one and a half dozen is equal to 1 x 12 + 6 = 18 pens. Finally, I added 24 + 18 to get the total of two and a half dozens of pens, which is equal to 42 pens.|EOM|Teacher: (telling)steven in the first two sentences of your solution, you have correctly calculated that 2 dozens is 24 and half dozen is 6. so one and a half dozen would simply mean adding these two. |EOM|Student: Oh, that makes sense. So one and a half dozen is equal to 24 + 6 = 30 pens. Then, two and a half dozen is equal to 24 + 18 = 42 pens.|EOM|Teacher: (telling)two and a half dozen is equal to 30. |EOM|Student: No, two and a half dozen is equal to 24 + 18 = 42 pens.|EOM|Teacher: (focus)add one dozen + one dozen + half dozen and tell me how much do you get/|EOM|Student: One dozen is equal to 12, so two dozens is equal to 2 x 12 = 24 pens. Half of a dozen is equal to 6, so one and a half dozen is equal to 1 x 12 + 6 = 18 pens. Therefore, two and a half dozen is equal to 24 + 18 = 42 pens.|EOM|Teacher: (telling)the calculation should be either 24+6=30 or (12x2)+(12x 0.5)= 24+6=30. |EOM|Student: Yes, you're right. One and a half dozen is equal to 24 + 6 = 30 pens. Then, two and a half dozen is equal to 24 + 18 = 42 pens."} | |
| {"qid": "5000195", "scenario": "4", "question": "A local restaurant is offering an 8 piece fried chicken bucket and 2 sides for $12.00 that will feed 6 people. If Monty was having a family reunion for 36 family members, how much will it cost him to buy enough chicken and sides to feed everyone one serving?", "ground_truth": "Monty needs to feed 36 family members and each chicken/meal combo feeds 6 people so he needs 36/6 = 6 combos\\nEach chicken/meal combo costs $12.00 and he needs 6 so it will cost him 12*6 = $72.00 to feed everyone\\n 72", "student_incorrect_solution": "If the 8 piece fried chicken bucket and 2 sides feed 6 people, then each serving feeds 6/8 = 0.75 people.\\nTo feed 36 people, Monty will need 36/0.75 = 48 servings.\\nTo buy 48 servings, Monty will need to buy 48/6 = 8 sets of the chicken bucket and sides.\\nThe cost of buying 8 sets of the chicken bucket and sides will be 8 x $12 = $96.\\n 96", "student_profile": "Luca is a 7th grade student. He struggle most with understanding what the problem is asking them to do.", "teacher_described_confusion": "The student was making the unit of measure more complicated than necessary.", "self-correctness": "Yes", "self-typical-confusion": "5", "self-typical-interactions": "5", "conversation": "Teacher: (generic)Can you walk me through your solution?|EOM|Student: Sure. I started by figuring out how many people each serving would feed. I knew that the 8 piece fried chicken bucket and 2 sides feed 6 people, so I divided 6 by 8 to get 0.75 people per serving. Then, I figured out how many servings I would need to feed 36 people. I divided 36 by 0.75 to get 48 servings. Finally, I figured out how many sets of the chicken bucket and sides I would need to buy in order to feed everyone. I divided 48 by 6 to get 8 sets. Then, I multiplied 8 by $12 to get the total cost of $96.|EOM|Teacher: (focus)I think you're overcomplicating the problem. Think about the $12 meal as one unit. How many people does it feed?|EOM|Student: Oh, right. The $12 meal feeds 6 people. So, if I want to feed 36 people, I would need to buy 36/6 = 6 units. The total cost would be 6 x $12 = $72.|EOM|Teacher: (focus)What was your error?|EOM|Student: My error was that I didn't think of the $12 meal as one unit. I was trying to calculate the cost of individual servings instead of the cost of the meal as a whole."} | |
Xet Storage Details
- Size:
- 5.02 kB
- Xet hash:
- b688fd486f8fc2075cc92b9d1e74e33301f54f35c6d4f922e3cadf92be789509
·
Xet efficiently stores files, intelligently splitting them into unique chunks and accelerating uploads and downloads. More info.