Creative Conjecture: Abductive Reasoning to Generate Some Ideas in Algebra

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Title: Creative Conjecture: Abductive Reasoning to Generate Some Ideas in Algebra
Language: English
Authors: Hidayah, Indriati Nurul, Irawati, Santi, Agung, Mohammad, Sa'dijah, Cholis, Subanji, Sudirman
Source: Mathematics Teaching Research Journal. Spr 2023 15(1):108-126.
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: 19
Publication Date: 2023
Document Type: Journal Articles
Reports - Research
Education Level: Higher Education
Postsecondary Education
Descriptors: Logical Thinking, Thinking Skills, Mathematics Skills, Concept Formation, Algebra, Problem Solving, College Mathematics, Undergraduate Students, Creativity, Creative Thinking, Foreign Countries, Mathematical Concepts
Geographic Terms: Indonesia
ISSN: 2573-4377
Abstract: Most students practice abductive reasoning in solving mathematical problems that encourage creativity. This study analyses the process of making conjectures based on abductive reasoning. This study used a qualitative design and involved 106 undergraduate mathematics students enrolled in the mathematics course Introduction to Ring. We analyzed the students' conjectures on two mathematics problems. The study was completed by grouping the types of conjectures made by students and then investigating each student's explanation of each conjecture. The results suggested two types of conjectures practised by students, namely creativity in investigating the converse of the proposition and creativity in dividing into cases.
Abstractor: As Provided
Entry Date: 2023
Accession Number: EJ1391463
Database: ERIC
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  Data: Creative Conjecture: Abductive Reasoning to Generate Some Ideas in Algebra
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  Data: <searchLink fieldCode="SO" term="%22Mathematics+Teaching+Research+Journal%22"><i>Mathematics Teaching Research Journal</i></searchLink>. Spr 2023 15(1):108-126.
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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: Most students practice abductive reasoning in solving mathematical problems that encourage creativity. This study analyses the process of making conjectures based on abductive reasoning. This study used a qualitative design and involved 106 undergraduate mathematics students enrolled in the mathematics course Introduction to Ring. We analyzed the students' conjectures on two mathematics problems. The study was completed by grouping the types of conjectures made by students and then investigating each student's explanation of each conjecture. The results suggested two types of conjectures practised by students, namely creativity in investigating the converse of the proposition and creativity in dividing into cases.
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    Languages:
      – Text: English
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      Pagination:
        PageCount: 19
        StartPage: 108
    Subjects:
      – SubjectFull: Logical Thinking
        Type: general
      – SubjectFull: Thinking Skills
        Type: general
      – SubjectFull: Mathematics Skills
        Type: general
      – SubjectFull: Concept Formation
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