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Cognitive Map: Diagnosing and Exploring Students' Misconceptions in Algebra

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Title: Cognitive Map: Diagnosing and Exploring Students' Misconceptions in Algebra
Language: English
Authors: Analisa Fitria, Subanji, Susiswo, Hery Susanto
Source: Mathematics Teaching Research Journal. 2023 15(5):49-75.
Availability: City University of New York. Creative Commons. 205 East 42 Street, New York, NY 10017. Web site: https://commons.hostos.cuny.edu/mtrj
Peer Reviewed: Y
Page Count: 27
Publication Date: 2023
Document Type: Journal Articles
Reports - Research
Education Level: Elementary Education
Grade 8
Junior High Schools
Middle Schools
Secondary Education
Descriptors: Cognitive Mapping, Misconceptions, Algebra, Mathematical Concepts, Mathematics Instruction, Grade 8, Error Patterns, Knowledge Level, Foreign Countries, Junior High School Students
Geographic Terms: Indonesia
ISSN: 2573-4377
Abstract: This study diagnoses and explores year eight students' misconceptions and mistakes in algebra. An in-depth exploration of students' misconceptions were carried out by conducting interviews based on the students' work as outlined in a cognitive map. Based on the cognitive maps, it can be seen that the students emphasize procedural knowledge rather than a comprehensive understanding of the concept. The students had misconceptions about the variable, which is the core of algebra. The students misinterpreted variables, though they sometimes succeeded in determining variable values from algebraic expressions or equations. The students made mistakes in translating literal sentences into algebraic forms, but they succeeded in completing an algebraic expression. In general, the students were able to operate algebraic forms procedurally. The exploration found that these misconceptions or errors were likely caused by their incomplete knowledge of arithmetic. This problem had an impact when they work on the transition from arithmetic to algebra concepts.
Abstractor: As Provided
Entry Date: 2024
Accession Number: EJ1412238
Database: ERIC
FullText Text:
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  Data: Cognitive Map: Diagnosing and Exploring Students' Misconceptions in Algebra
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  Data: City University of New York. Creative Commons. 205 East 42 Street, New York, NY 10017. Web site: https://commons.hostos.cuny.edu/mtrj
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  Data: This study diagnoses and explores year eight students' misconceptions and mistakes in algebra. An in-depth exploration of students' misconceptions were carried out by conducting interviews based on the students' work as outlined in a cognitive map. Based on the cognitive maps, it can be seen that the students emphasize procedural knowledge rather than a comprehensive understanding of the concept. The students had misconceptions about the variable, which is the core of algebra. The students misinterpreted variables, though they sometimes succeeded in determining variable values from algebraic expressions or equations. The students made mistakes in translating literal sentences into algebraic forms, but they succeeded in completing an algebraic expression. In general, the students were able to operate algebraic forms procedurally. The exploration found that these misconceptions or errors were likely caused by their incomplete knowledge of arithmetic. This problem had an impact when they work on the transition from arithmetic to algebra concepts.
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RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 27
        StartPage: 49
    Subjects:
      – SubjectFull: Cognitive Mapping
        Type: general
      – SubjectFull: Misconceptions
        Type: general
      – SubjectFull: Algebra
        Type: general
      – SubjectFull: Mathematical Concepts
        Type: general
      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Grade 8
        Type: general
      – SubjectFull: Error Patterns
        Type: general
      – SubjectFull: Knowledge Level
        Type: general
      – SubjectFull: Foreign Countries
        Type: general
      – SubjectFull: Junior High School Students
        Type: general
      – SubjectFull: Indonesia
        Type: general
    Titles:
      – TitleFull: Cognitive Map: Diagnosing and Exploring Students' Misconceptions in Algebra
        Type: main
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          Name:
            NameFull: Analisa Fitria
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            NameFull: Subanji
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            NameFull: Susiswo
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            NameFull: Hery Susanto
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            – D: 01
              M: 01
              Type: published
              Y: 2023
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              Value: 2573-4377
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              Value: 15
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              Value: 5
          Titles:
            – TitleFull: Mathematics Teaching Research Journal
              Type: main
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