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 |
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| 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 |
| 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. |
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| ISSN: | 2573-4377 |