Exploring Student's Representation Process in Solving Ill-Structured Problems Geometry
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| Title: | Exploring Student's Representation Process in Solving Ill-Structured Problems Geometry |
|---|---|
| Language: | English |
| Authors: | Prayitno, Lydia Lia (ORCID |
| Source: | Participatory Educational Research. Aug 2020 7(2):183-202. |
| Availability: | Participatory Education Research. Amasya University, Technology Faculty, Yagmurkoy Orad, Amasya 05100, Turkey. Web site: https://www.perjournal.com/ |
| Peer Reviewed: | Y |
| Page Count: | 20 |
| Publication Date: | 2020 |
| Document Type: | Journal Articles Reports - Research |
| Education Level: | High Schools Secondary Education |
| Descriptors: | High School Students, Problem Solving, Secondary School Mathematics, Geometry, Geometric Concepts, Foreign Countries, Mathematics Skills, Mathematical Concepts, Mathematical Logic, Visual Aids, Symbols (Mathematics) |
| Geographic Terms: | Indonesia |
| ISSN: | 2148-6123 |
| Abstract: | This study is to reveal the construction process of student representation in solving of ill-structured geometry problems. The three phases involved in the construction process are interpreting the problem, giving opinions, and concluding. A total of four high school students participated in Surabaya and Sidoarjo in this qualitative study. They used visual and symbolic representations to solve the ill-structured problems. The research data were obtained from the sheets of ill-structured geometry problems (ISGP), video recordings, and interviews. The data analysis through three stages, data identification, data presentation, and conclusion. The results of data analysis show that the process of constructing the visual and symbolic representations was carried out by the students when interpreting the problem. The subjects provide data to support problem-solving process, such as initial length and width. The construction process through the visual representation began with the process of giving meaning. They drew rectangle with a length and width. Likewise, when giving an opinion, they referred to the drawings they made with length and width of different sizes. They used symbolic representation as a length and width for the initial situation in the process of giving meaning. Through the use of variables, they could perform calculations so as to determine the proposals used as a solution. Two patterns that the students did during the process of the representation construction, are deductive and inductive. It is important for teachers to know the process of representation of students when solving ill-structured problems. It needs to be enlarged and in line with the criteria to obtain the general description of the representation of the construction process when solving the problem. Then, teachers should design meaningful learning so they can connect concepts that their students can use to solve problems. |
| Abstractor: | As Provided |
| Entry Date: | 2020 |
| Accession Number: | EJ1255570 |
| Database: | ERIC |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=EJ1255570 Name: ERIC Full Text Category: fullText Text: Full Text from ERIC |
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| Header | DbId: eric DbLabel: ERIC An: EJ1255570 AccessLevel: 3 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Exploring Student's Representation Process in Solving Ill-Structured Problems Geometry – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Prayitno%2C+Lydia+Lia%22">Prayitno, Lydia Lia</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-5416-8787">0000-0002-5416-8787</externalLink>)<br /><searchLink fieldCode="AR" term="%22Purwanto%2C+Purwanto%22">Purwanto, Purwanto</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0003-0974-4068">0000-0003-0974-4068</externalLink>)<br /><searchLink fieldCode="AR" term="%22Subanji%2C+Subanji%22">Subanji, Subanji</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-4281-1923">0000-0002-4281-1923</externalLink>)<br /><searchLink fieldCode="AR" term="%22Susiswo%2C+Susiswo%22">Susiswo, Susiswo</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0001-6461-6283">0000-0001-6461-6283</externalLink>)<br /><searchLink fieldCode="AR" term="%22As'ari%2C+Abdur+Rahman%22">As'ari, Abdur Rahman</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-4959-0043">0000-0002-4959-0043</externalLink>) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="SO" term="%22Participatory+Educational+Research%22"><i>Participatory Educational Research</i></searchLink>. Aug 2020 7(2):183-202. – Name: Avail Label: Availability Group: Avail Data: Participatory Education Research. Amasya University, Technology Faculty, Yagmurkoy Orad, Amasya 05100, Turkey. Web site: https://www.perjournal.com/ – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: Y – Name: Pages Label: Page Count Group: Src Data: 20 – 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="%22High+Schools%22">High Schools</searchLink><br /><searchLink fieldCode="EL" term="%22Secondary+Education%22">Secondary Education</searchLink> – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22High+School+Students%22">High School Students</searchLink><br /><searchLink fieldCode="DE" term="%22Problem+Solving%22">Problem Solving</searchLink><br /><searchLink fieldCode="DE" term="%22Secondary+School+Mathematics%22">Secondary School Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%22">Geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+Concepts%22">Geometric Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Foreign+Countries%22">Foreign Countries</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Skills%22">Mathematics Skills</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Concepts%22">Mathematical Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Logic%22">Mathematical Logic</searchLink><br /><searchLink fieldCode="DE" term="%22Visual+Aids%22">Visual Aids</searchLink><br /><searchLink fieldCode="DE" term="%22Symbols+%28Mathematics%29%22">Symbols (Mathematics)</searchLink> – Name: Subject Label: Geographic Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Indonesia%22">Indonesia</searchLink> – Name: ISSN Label: ISSN Group: ISSN Data: 2148-6123 – Name: Abstract Label: Abstract Group: Ab Data: This study is to reveal the construction process of student representation in solving of ill-structured geometry problems. The three phases involved in the construction process are interpreting the problem, giving opinions, and concluding. A total of four high school students participated in Surabaya and Sidoarjo in this qualitative study. They used visual and symbolic representations to solve the ill-structured problems. The research data were obtained from the sheets of ill-structured geometry problems (ISGP), video recordings, and interviews. The data analysis through three stages, data identification, data presentation, and conclusion. The results of data analysis show that the process of constructing the visual and symbolic representations was carried out by the students when interpreting the problem. The subjects provide data to support problem-solving process, such as initial length and width. The construction process through the visual representation began with the process of giving meaning. They drew rectangle with a length and width. Likewise, when giving an opinion, they referred to the drawings they made with length and width of different sizes. They used symbolic representation as a length and width for the initial situation in the process of giving meaning. Through the use of variables, they could perform calculations so as to determine the proposals used as a solution. Two patterns that the students did during the process of the representation construction, are deductive and inductive. It is important for teachers to know the process of representation of students when solving ill-structured problems. It needs to be enlarged and in line with the criteria to obtain the general description of the representation of the construction process when solving the problem. Then, teachers should design meaningful learning so they can connect concepts that their students can use to solve problems. – Name: AbstractInfo Label: Abstractor Group: Ab Data: As Provided – Name: DateEntry Label: Entry Date Group: Date Data: 2020 – Name: AN Label: Accession Number Group: ID Data: EJ1255570 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ1255570 |
| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 183 Subjects: – SubjectFull: High School Students Type: general – SubjectFull: Problem Solving Type: general – SubjectFull: Secondary School Mathematics Type: general – SubjectFull: Geometry Type: general – SubjectFull: Geometric Concepts Type: general – SubjectFull: Foreign Countries Type: general – SubjectFull: Mathematics Skills Type: general – SubjectFull: Mathematical Concepts Type: general – SubjectFull: Mathematical Logic Type: general – SubjectFull: Visual Aids Type: general – SubjectFull: Symbols (Mathematics) Type: general – SubjectFull: Indonesia Type: general Titles: – TitleFull: Exploring Student's Representation Process in Solving Ill-Structured Problems Geometry Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Prayitno, Lydia Lia – PersonEntity: Name: NameFull: Purwanto, Purwanto – PersonEntity: Name: NameFull: Subanji, Subanji – PersonEntity: Name: NameFull: Susiswo, Susiswo – PersonEntity: Name: NameFull: As'ari, Abdur Rahman IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Type: published Y: 2020 Identifiers: – Type: issn-electronic Value: 2148-6123 Numbering: – Type: volume Value: 7 – Type: issue Value: 2 Titles: – TitleFull: Participatory Educational Research Type: main |
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