Characteristics of Students' Abductive Reasoning in Solving Algebra Problems
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| Title: | Characteristics of Students' Abductive Reasoning in Solving Algebra Problems |
|---|---|
| Language: | English |
| Authors: | Hidayah, Indriati Nurul, Sa'dijah, Cholis, Subanji, Sudirman |
| Source: | Journal on Mathematics Education. Sep 2020 11(3):347-362. |
| Availability: | Indonesian Mathematical Society. Jl. Padang Selasa 524, Palembang, South Sumatra 30139, Indonesia. Tel: +618-127-106777; Fax: +627-113-20310; Web site: https://ejournal.unsri.ac.id/index.php/jme |
| Peer Reviewed: | Y |
| Page Count: | 16 |
| Publication Date: | 2020 |
| Document Type: | Journal Articles Reports - Research |
| Education Level: | Higher Education Postsecondary Education |
| Descriptors: | Logical Thinking, Problem Solving, Mathematical Logic, Mathematics Education, Algebra, Undergraduate Students, Public Colleges, Foreign Countries |
| Geographic Terms: | Indonesia |
| ISSN: | 2087-8885 |
| Abstract: | When students solve an algebra problem, students try to deduce the facts in the problem. This step is imperative, students can draw conclusions from the facts and devise a plan to solve the problem. Drawing conclusions from facts is called reasoning. Some kinds of reasoning are deductive, inductive, and abductive. This article explores the characteristics of some types of abductive reasoning used by mathematics education students in problem-solving related to using facts on the problems. Fifty-eight students were asked to solve an algebra problem. It was found that the student's solutions could be grouped into four types of abductive reasoning. From each group, one student was interviewed to have more details on the types. First, the creative conjectures type, the students can solve the problems and develop new ideas related to the problems; second, fact optimization type, the students make conjecture of the answer, then confirm it by deductive reasoning; third, factual error type, students use facts outside of the problems to solve it, but the facts are wrong; and fourth, mistaken fact type, the students assume the questionable thing as a given fact. Therefore, teachers should encourage the students to use creative conjectures and fact optimization when learning mathematics. |
| Abstractor: | As Provided |
| Entry Date: | 2021 |
| Accession Number: | EJ1294576 |
| Database: | ERIC |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=EJ1294576 Name: ERIC Full Text Category: fullText Text: Full Text from ERIC |
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| Items | – Name: Title Label: Title Group: Ti Data: Characteristics of Students' Abductive Reasoning in Solving Algebra Problems – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Hidayah%2C+Indriati+Nurul%22">Hidayah, Indriati Nurul</searchLink><br /><searchLink fieldCode="AR" term="%22Sa'dijah%2C+Cholis%22">Sa'dijah, Cholis</searchLink><br /><searchLink fieldCode="AR" term="%22Subanji%22">Subanji</searchLink><br /><searchLink fieldCode="AR" term="%22Sudirman%22">Sudirman</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="SO" term="%22Journal+on+Mathematics+Education%22"><i>Journal on Mathematics Education</i></searchLink>. Sep 2020 11(3):347-362. – Name: Avail Label: Availability Group: Avail Data: Indonesian Mathematical Society. Jl. Padang Selasa 524, Palembang, South Sumatra 30139, Indonesia. Tel: +618-127-106777; Fax: +627-113-20310; Web site: https://ejournal.unsri.ac.id/index.php/jme – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: Y – Name: Pages Label: Page Count Group: Src Data: 16 – Name: DatePubCY Label: Publication Date Group: Date Data: 2020 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Journal Articles<br />Reports - Research – Name: Audience Label: Education Level Group: Audnce Data: <searchLink fieldCode="EL" term="%22Higher+Education%22">Higher Education</searchLink><br /><searchLink fieldCode="EL" term="%22Postsecondary+Education%22">Postsecondary Education</searchLink> – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Logical+Thinking%22">Logical Thinking</searchLink><br /><searchLink fieldCode="DE" term="%22Problem+Solving%22">Problem Solving</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Logic%22">Mathematical Logic</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Education%22">Mathematics Education</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Undergraduate+Students%22">Undergraduate Students</searchLink><br /><searchLink fieldCode="DE" term="%22Public+Colleges%22">Public Colleges</searchLink><br /><searchLink fieldCode="DE" term="%22Foreign+Countries%22">Foreign Countries</searchLink> – Name: Subject Label: Geographic Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Indonesia%22">Indonesia</searchLink> – Name: ISSN Label: ISSN Group: ISSN Data: 2087-8885 – Name: Abstract Label: Abstract Group: Ab Data: When students solve an algebra problem, students try to deduce the facts in the problem. This step is imperative, students can draw conclusions from the facts and devise a plan to solve the problem. Drawing conclusions from facts is called reasoning. Some kinds of reasoning are deductive, inductive, and abductive. This article explores the characteristics of some types of abductive reasoning used by mathematics education students in problem-solving related to using facts on the problems. Fifty-eight students were asked to solve an algebra problem. It was found that the student's solutions could be grouped into four types of abductive reasoning. From each group, one student was interviewed to have more details on the types. First, the creative conjectures type, the students can solve the problems and develop new ideas related to the problems; second, fact optimization type, the students make conjecture of the answer, then confirm it by deductive reasoning; third, factual error type, students use facts outside of the problems to solve it, but the facts are wrong; and fourth, mistaken fact type, the students assume the questionable thing as a given fact. Therefore, teachers should encourage the students to use creative conjectures and fact optimization when learning mathematics. – Name: AbstractInfo Label: Abstractor Group: Ab Data: As Provided – Name: DateEntry Label: Entry Date Group: Date Data: 2021 – Name: AN Label: Accession Number Group: ID Data: EJ1294576 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ1294576 |
| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 347 Subjects: – SubjectFull: Logical Thinking Type: general – SubjectFull: Problem Solving Type: general – SubjectFull: Mathematical Logic Type: general – SubjectFull: Mathematics Education Type: general – SubjectFull: Algebra Type: general – SubjectFull: Undergraduate Students Type: general – SubjectFull: Public Colleges Type: general – SubjectFull: Foreign Countries Type: general – SubjectFull: Indonesia Type: general Titles: – TitleFull: Characteristics of Students' Abductive Reasoning in Solving Algebra Problems Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Hidayah, Indriati Nurul – PersonEntity: Name: NameFull: Sa'dijah, Cholis – PersonEntity: Name: NameFull: Subanji – PersonEntity: Name: NameFull: Sudirman IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Type: published Y: 2020 Identifiers: – Type: issn-print Value: 2087-8885 Numbering: – Type: volume Value: 11 – Type: issue Value: 3 Titles: – TitleFull: Journal on Mathematics Education Type: main |
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