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Errors of Pre-service Elementary Teachers in Mathematics Content Courses: Number & Operations
  • Dr. Michael Matthews ; University of Nebraska@Omaha
  • michaelmatthews@unomaha.edu
  • Dr. Meixia Ding; University of Nebraska@Lincoln
  • mding2@unlnotes.unl.edu


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Purpose of Study
  • To analyze and report common errors found in homework of pre-service elementary teachers on their content courses.
  • To provide material for professional development of the teachers of the course
  • To provide material for students of the course to investigate and learn from typical errors
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About the database
  • Where are the questions from? Beckmann, S. (2008). Mathematics for Elementary Teachers. Pearson Education, ISBN: 0321447174
  • Who are the participants? Pre-service elementary majors from a large urban university in the mid-West. Predominantly Caucasian, under 25, and female.
  • How the results obtained? You can read details of the data analysis here, when it’s active.



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About the database (2)
  • What are included?
    • Each topic has several problems from the which we collected our data.
    • Categories of common errors found, correct responses, some brief commentary, and unique answers are included for each problem.  More description of these are on the next page.
    • Some of the errors are very general in nature (not following directions for example). We report these not for mathematical reasons, but pedagogical. For instance, in some cases, we reworded questions to help students focus better on what we want.
  • What are not included? We do not necessarily describe how to counteract the errors found when teaching.


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About the database (3)
  • Percentage Calculation: For the correct answers, we use % of the total. For the errors , we report % of those who made errors, and call this the Incorrect response Rate (or IR). Since some responses include multiple errors, the total % is often over 100.
  • Strong Errors: Highlighted in bold italics; Appeared across both campuses and in every classroom (7 different instructors). Other errors appeared at only one of the two campuses but in multiple classrooms.
  • Unique Answers: Responses that are interesting. But not representative.


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Topics