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ErrEx Interface in MathTutor
Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L.  Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer.    When you think you know why Glady’s answer is incorrect press the button.  No, 45 L is greater than 5 L Show correct answer
Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L.  Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer.    Correct Answer No, 45 L is greater than 5 L Yes, .45 L is less than .5 L Why is Gladys’ answer incorrect? When you think you have the correct explanation, press the button I'm done She sees the decimals ---------------------     and thinks -------------------------------- -------------------------------- -------------------- as whole numbersas decimals  as fractions
Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L.  Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer.    Correct Answer No, 45 L is greater than 5 L Yes, .45 L is less than .5 L Why is Gladys’ answer incorrect? When you think you have the correct explanation, press the button I'm done She sees the decimals as whole numbers and thinks  the longer one is smaller the longer one is smaller as whole numbers
Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L.  Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer.    Correct Answer No, 45 L is greater than 5 L	  Yes, .45 L is less than .5 L  Why is Gladys’ answer incorrect? When you think you have the correct explanation, press the button I'm done She sees the decimals as whole numbers and thinks  the longer one is smaller the longer one is smaller as whole numbers The student’s answer is only partially correct: the second half contains a mistake. We have two alternative ways to report the mistake to the student…
Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L.  Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer.    Correct Answer No, 45 L is greater than 5 L Yes, .45 L is less than .5 L  Why is Gladys’ answer incorrect? When you think you have the correct explanation, press the button Try again She sees the decimals as whole numbers and thinks the longer one is smaller Option 1: Highlight the entire sentence to indicate there is an error in the answer. Give an example type 3: by putting the mouse cursor over the selected sentence, the example appear
Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L.  Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer.    Correct Answer No, 45 L is greater than 5 L Yes, .45 L is less than .5 L  Why is Gladys’ answer incorrect? When you think you have the correct explanation, press the button Try again She sees the decimals as whole numbers and thinks the longer one is smaller Option 2: Highlight in red only the incorrect choices to indicate there is an error, and any correct answers will be green. Give an example type 3: by putting the mouse cursor over the selected sentence, the example appear
Please vote on which version you think will help students learn better: Option 1: She sees the decimals as whole numbers and thinks the longer one is smaller Option 2: She sees the decimals as whole numbers and thinks the longer one is smaller

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Mockup ErrEx

  • 1. ErrEx Interface in MathTutor
  • 2. Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L. Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer. When you think you know why Glady’s answer is incorrect press the button. No, 45 L is greater than 5 L Show correct answer
  • 3. Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L. Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer. Correct Answer No, 45 L is greater than 5 L Yes, .45 L is less than .5 L Why is Gladys’ answer incorrect? When you think you have the correct explanation, press the button I'm done She sees the decimals --------------------- and thinks -------------------------------- -------------------------------- -------------------- as whole numbersas decimals as fractions
  • 4. Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L. Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer. Correct Answer No, 45 L is greater than 5 L Yes, .45 L is less than .5 L Why is Gladys’ answer incorrect? When you think you have the correct explanation, press the button I'm done She sees the decimals as whole numbers and thinks the longer one is smaller the longer one is smaller as whole numbers
  • 5. Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L. Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer. Correct Answer No, 45 L is greater than 5 L Yes, .45 L is less than .5 L Why is Gladys’ answer incorrect? When you think you have the correct explanation, press the button I'm done She sees the decimals as whole numbers and thinks the longer one is smaller the longer one is smaller as whole numbers The student’s answer is only partially correct: the second half contains a mistake. We have two alternative ways to report the mistake to the student…
  • 6. Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L. Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer. Correct Answer No, 45 L is greater than 5 L Yes, .45 L is less than .5 L Why is Gladys’ answer incorrect? When you think you have the correct explanation, press the button Try again She sees the decimals as whole numbers and thinks the longer one is smaller Option 1: Highlight the entire sentence to indicate there is an error in the answer. Give an example type 3: by putting the mouse cursor over the selected sentence, the example appear
  • 7. Bruce has a bottle containing .45 L of water. He also has a pan that can hold .5 L. Is there enough room in the pan for Bruce to pour his bottle of water into it? Here is Gladys’ incorrect answer. Correct Answer No, 45 L is greater than 5 L Yes, .45 L is less than .5 L Why is Gladys’ answer incorrect? When you think you have the correct explanation, press the button Try again She sees the decimals as whole numbers and thinks the longer one is smaller Option 2: Highlight in red only the incorrect choices to indicate there is an error, and any correct answers will be green. Give an example type 3: by putting the mouse cursor over the selected sentence, the example appear
  • 8. Please vote on which version you think will help students learn better: Option 1: She sees the decimals as whole numbers and thinks the longer one is smaller Option 2: She sees the decimals as whole numbers and thinks the longer one is smaller

Editor's Notes

  1. We are designing a cognitive tutor to help students learn about decimal math through erroneous examples and self-explanations. We would like your input about how we present feedback for incorrect answers to students, so please watch the remainder of this video and then vote below.
  2. The student is presented with a word problem about the relative sizes of .45 L and .5 L, and shown another student’s incorrect answer to the question. The student will be shown the correct answer, and will then have to choose explanations for what was wrong with the other student’s idea.
  3. The student selects an answer from the drop-down menu.
  4. Now the student has chosen answers for both parts of the question and clicks “I’m done”
  5. But this student’s answer is only partially correct: the first half is fine, but the second half contains a mistake. We have two options on how we can indicate that there is a mistake to the student.
  6. In the first option, we highlight the entire statement in red. Because the student has selected one or more incorrect answer choices, the entire answer is marked as incorrect. The student must go back and try the question again.
  7. In the second option, only the portions of the answer that were selected by the student are highlighted – the correct ones in green, and the incorrect choices in red. Here, the student knows to try a different answer for the second part of the question only.
  8. Please vote below for which option you think will help students learn better. Thanks!