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Diagnostic Models for Procedural Bugs in Basic Mathematics Skills.

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Title: Diagnostic Models for Procedural Bugs in Basic Mathematics Skills.
Language: English
Authors: Brown, John Seely, Burton, Richard R., Bolt, Beranek and Newman, Inc., Cambridge, MA.
Peer Reviewed: N
Page Count: 66
Publication Date: 1977
Sponsoring Agency: Advanced Research Projects Agency (DOD), Washington, DC.
Navy Personnel Research and Development Center, San Diego, CA.
Document Type: Reports - Research
Descriptors: Arithmetic, Basic Skills, Computation, Computer Assisted Instruction, Diagnostic Tests, Educational Diagnosis, Educational Games, Error Patterns, Learning, Mathematics Education, Remedial Mathematics, Teacher Education, Testing
Abstract: A new diagnostic modeling system for automatically synthesizing a deep structure model of a student's misconceptions or bugs in his/her basic mathematics skills provides a mechanism for explaining why a student is making a mistake as opposed to simply identifying the mistake. This report consists of four sections. The first provides examples of the problems that must be handled by a diagnostic model. It then introduces procedural networks as a general framework for representing the knowledge underlying a skill. The second section discusses some of the pedagogical issues that have emerged from the use of diagnostic models within an instructional system. This discussion is framed in the context of a computer-based tutoring/gaming system developed to teach students and student teachers how to diagnose bugs strategically as well as how to provide a better understanding of the underlying structure of arithmetic skills. The third section describes our uses of an executable network as a tool for automatically diagnosing student behavior, for automatically generating "diagnostic" tests, and for judging the diagnostic quality of a given exam. Included in this section is a discussion of the success of this system in diagnosing 1300 school students from a data base of 20,000 test items. The last section discusses some future research directions. (Author/MN)
Entry Date: 1979
Accession Number: ED159036
Database: ERIC
FullText Text:
  Availability: 0
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  – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=ED159036
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PubType: Report
PubTypeId: report
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  Label: Title
  Group: Ti
  Data: Diagnostic Models for Procedural Bugs in Basic Mathematics Skills.
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  Label: Language
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  Data: English
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Brown%2C+John+Seely%22">Brown, John Seely</searchLink><br /><searchLink fieldCode="AR" term="%22Burton%2C+Richard+R%2E%22">Burton, Richard R.</searchLink><br /><searchLink fieldCode="AR" term="%22Bolt%2C+Beranek+and+Newman%2C+Inc%2E%2C+Cambridge%2C+MA%2E%22">Bolt, Beranek and Newman, Inc., Cambridge, MA.</searchLink>
– Name: PeerReviewed
  Label: Peer Reviewed
  Group: SrcInfo
  Data: N
– Name: Pages
  Label: Page Count
  Group: Src
  Data: 66
– Name: DatePubCY
  Label: Publication Date
  Group: Date
  Data: 1977
– Name: SourceSuprt
  Label: Sponsoring Agency
  Group: SrcSuprt
  Data: Advanced Research Projects Agency (DOD), Washington, DC.<br />Navy Personnel Research and Development Center, San Diego, CA.
– Name: TypeDocument
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  Data: Reports - Research
– Name: Subject
  Label: Descriptors
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  Data: <searchLink fieldCode="DE" term="%22Arithmetic%22">Arithmetic</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="%22Computer+Assisted+Instruction%22">Computer Assisted Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Diagnostic+Tests%22">Diagnostic Tests</searchLink><br /><searchLink fieldCode="DE" term="%22Educational+Diagnosis%22">Educational Diagnosis</searchLink><br /><searchLink fieldCode="DE" term="%22Educational+Games%22">Educational Games</searchLink><br /><searchLink fieldCode="DE" term="%22Error+Patterns%22">Error Patterns</searchLink><br /><searchLink fieldCode="DE" term="%22Learning%22">Learning</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Education%22">Mathematics Education</searchLink><br /><searchLink fieldCode="DE" term="%22Remedial+Mathematics%22">Remedial Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Teacher+Education%22">Teacher Education</searchLink><br /><searchLink fieldCode="DE" term="%22Testing%22">Testing</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: A new diagnostic modeling system for automatically synthesizing a deep structure model of a student's misconceptions or bugs in his/her basic mathematics skills provides a mechanism for explaining why a student is making a mistake as opposed to simply identifying the mistake. This report consists of four sections. The first provides examples of the problems that must be handled by a diagnostic model. It then introduces procedural networks as a general framework for representing the knowledge underlying a skill. The second section discusses some of the pedagogical issues that have emerged from the use of diagnostic models within an instructional system. This discussion is framed in the context of a computer-based tutoring/gaming system developed to teach students and student teachers how to diagnose bugs strategically as well as how to provide a better understanding of the underlying structure of arithmetic skills. The third section describes our uses of an executable network as a tool for automatically diagnosing student behavior, for automatically generating "diagnostic" tests, and for judging the diagnostic quality of a given exam. Included in this section is a discussion of the success of this system in diagnosing 1300 school students from a data base of 20,000 test items. The last section discusses some future research directions. (Author/MN)
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  Label: Entry Date
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  Data: 1979
– Name: AN
  Label: Accession Number
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  Data: ED159036
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RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 66
    Subjects:
      – SubjectFull: Arithmetic
        Type: general
      – SubjectFull: Basic Skills
        Type: general
      – SubjectFull: Computation
        Type: general
      – SubjectFull: Computer Assisted Instruction
        Type: general
      – SubjectFull: Diagnostic Tests
        Type: general
      – SubjectFull: Educational Diagnosis
        Type: general
      – SubjectFull: Educational Games
        Type: general
      – SubjectFull: Error Patterns
        Type: general
      – SubjectFull: Learning
        Type: general
      – SubjectFull: Mathematics Education
        Type: general
      – SubjectFull: Remedial Mathematics
        Type: general
      – SubjectFull: Teacher Education
        Type: general
      – SubjectFull: Testing
        Type: general
    Titles:
      – TitleFull: Diagnostic Models for Procedural Bugs in Basic Mathematics Skills.
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Bolt, Beranek and Newman, Inc., Cambridge, MA.
      – PersonEntity:
          Name:
            NameFull: Brown, John Seely
      – PersonEntity:
          Name:
            NameFull: Burton, Richard R.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 12
              Type: published
              Y: 1977
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