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A Review of the Literature on Computational Errors With Whole Numbers. Mathematics Education Diagnostic and Instructional Centre (MEDIC).

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Title: A Review of the Literature on Computational Errors With Whole Numbers. Mathematics Education Diagnostic and Instructional Centre (MEDIC).
Authors: Burrows, J. K., British Columbia Univ., Vancouver. Faculty of Education.
Availability: Mathematics Education Diagnostic and Instructional Centre (MEDIC), Faculty of Education, University of British Columbia, 2075 Wesbrook Place, Vancouver, B.C. V6T 1W5 Canada
Peer Reviewed: N
Page Count: 55
Publication Date: 1976
Document Type: Reference Materials - Bibliographies
Descriptors: Algorithms, Basic Skills, Computation, Elementary School Mathematics, Elementary Secondary Education, Error Patterns, Mathematics Education, Research, Research Reviews (Publications), Whole Numbers
Abstract: Research on error patterns associated with whole number computation is reviewed. Details of the results of some of the individual studies cited are given in the appendices. In Appendix A, 33 addition errors, 27 subtraction errors, 41 multiplication errors, and 41 division errors are identified, and the frequency of these errors made by 352 children in grades three through six is tabulated. Appendix B records the 68 errors in multiplication made by 2100 students in grades four through six. Appendix C lists 57 errors in long division with a one-digit divisor made by 453 children in grades five through eight. In Appendix D, the twelve difficulties most often noted for each of the four operations are identified and responses of 516 children from grades four through eight are tabulated. Appendix E gives examples of six types of errors for addition, subtraction, and multiplication, and four types of errors for division. Appendix F records the persistence of errors made by a group of 221 fourth graders learning division when the divisor was a 2-digit number. Appendix G gives examples of 46 common computation errors which children make in computing with whole numbers. (DT)
Entry Date: 1977
Accession Number: ED134468
Database: ERIC
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  Availability: 0
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  Data: A Review of the Literature on Computational Errors With Whole Numbers. Mathematics Education Diagnostic and Instructional Centre (MEDIC).
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  Data: <searchLink fieldCode="AR" term="%22Burrows%2C+J%2E+K%2E%22">Burrows, J. K.</searchLink><br /><searchLink fieldCode="AR" term="%22British+Columbia+Univ%2E%2C+Vancouver%2E+Faculty+of+Education%2E%22">British Columbia Univ., Vancouver. Faculty of Education.</searchLink>
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  Data: Mathematics Education Diagnostic and Instructional Centre (MEDIC), Faculty of Education, University of British Columbia, 2075 Wesbrook Place, Vancouver, B.C. V6T 1W5 Canada
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  Data: N
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  Data: 55
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  Data: 1976
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  Data: Reference Materials - Bibliographies
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  Data: <searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Basic+Skills%22">Basic Skills</searchLink><br /><searchLink fieldCode="DE" term="%22Computation%22">Computation</searchLink><br /><searchLink fieldCode="DE" term="%22Elementary+School+Mathematics%22">Elementary School Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Elementary+Secondary+Education%22">Elementary Secondary Education</searchLink><br /><searchLink fieldCode="DE" term="%22Error+Patterns%22">Error Patterns</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Education%22">Mathematics Education</searchLink><br /><searchLink fieldCode="DE" term="%22Research%22">Research</searchLink><br /><searchLink fieldCode="DE" term="%22Research+Reviews+%28Publications%29%22">Research Reviews (Publications)</searchLink><br /><searchLink fieldCode="DE" term="%22Whole+Numbers%22">Whole Numbers</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Research on error patterns associated with whole number computation is reviewed. Details of the results of some of the individual studies cited are given in the appendices. In Appendix A, 33 addition errors, 27 subtraction errors, 41 multiplication errors, and 41 division errors are identified, and the frequency of these errors made by 352 children in grades three through six is tabulated. Appendix B records the 68 errors in multiplication made by 2100 students in grades four through six. Appendix C lists 57 errors in long division with a one-digit divisor made by 453 children in grades five through eight. In Appendix D, the twelve difficulties most often noted for each of the four operations are identified and responses of 516 children from grades four through eight are tabulated. Appendix E gives examples of six types of errors for addition, subtraction, and multiplication, and four types of errors for division. Appendix F records the persistence of errors made by a group of 221 fourth graders learning division when the divisor was a 2-digit number. Appendix G gives examples of 46 common computation errors which children make in computing with whole numbers. (DT)
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        PageCount: 55
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      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Basic Skills
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      – SubjectFull: Computation
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      – SubjectFull: Elementary School Mathematics
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      – SubjectFull: Elementary Secondary Education
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      – SubjectFull: Error Patterns
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      – SubjectFull: Research
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      – SubjectFull: Research Reviews (Publications)
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      – SubjectFull: Whole Numbers
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      – TitleFull: A Review of the Literature on Computational Errors With Whole Numbers. Mathematics Education Diagnostic and Instructional Centre (MEDIC).
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