Ways to Teach Modelling--A 50 Year Study
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| Title: | Ways to Teach Modelling--A 50 Year Study |
|---|---|
| Language: | English |
| Authors: | Burkhardt, Hugh (ORCID |
| Source: | ZDM: The International Journal on Mathematics Education. Apr 2018 50(1-2):61-75. |
| Availability: | Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com |
| Peer Reviewed: | Y |
| Page Count: | 15 |
| Publication Date: | 2018 |
| Document Type: | Journal Articles Reports - Research |
| Education Level: | Secondary Education |
| Descriptors: | Mathematics Instruction, Teaching Methods, Mathematical Models, Research Projects, Foreign Countries, Secondary School Mathematics, College Mathematics, Workshops, Secondary School Teachers, Undergraduate Students, High School Students, Numeracy, Heuristics, Formative Evaluation, Longitudinal Studies |
| Geographic Terms: | United Kingdom |
| DOI: | 10.1007/s11858-017-0899-8 |
| ISSN: | 1863-9690 |
| Abstract: | This article describes a sequence of design research projects, some exploratory others more formal, on the teaching of modelling and the analysis of modelling skills. The initial motivation was the author's observation that the teaching of applied mathematics in UK high schools and universities involved no active modelling by students, but was entirely focused on their learning standards models of a restricted range of phenomena, largely from Newtonian mechanics. This did not develop the numeracy/mathematical literacy that was so clearly important for future citizens. Early explorations started with modelling workshops with high school teachers and mathematics undergraduates, observed and analysed--in some case using video. The theoretical basis of this work has been essentially heuristic, though the Shell Centre studies included, for example, a detailed analysis of formulation processes that has not, as so often, been directly replicated. Recent work has focused on developing a formative assessment approach to teaching modelling that has proved both successful and popular. Finally, the system-level challenges in trying to establish modelling as an integral part of mathematics curricula are briefly discussed. |
| Abstractor: | As Provided |
| Number of References: | 29 |
| Entry Date: | 2018 |
| Accession Number: | EJ1177138 |
| Database: | ERIC |
| FullText | Text: Availability: 0 |
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| Header | DbId: eric DbLabel: ERIC An: EJ1177138 AccessLevel: 3 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Ways to Teach Modelling--A 50 Year Study – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Burkhardt%2C+Hugh%22">Burkhardt, Hugh</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0001-9635-0520">0000-0001-9635-0520</externalLink>) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="SO" term="%22ZDM%3A+The+International+Journal+on+Mathematics+Education%22"><i>ZDM: The International Journal on Mathematics Education</i></searchLink>. Apr 2018 50(1-2):61-75. – Name: Avail Label: Availability Group: Avail Data: Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: Y – Name: Pages Label: Page Count Group: Src Data: 15 – Name: DatePubCY Label: Publication Date Group: Date Data: 2018 – 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="%22Secondary+Education%22">Secondary Education</searchLink> – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Teaching+Methods%22">Teaching Methods</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Models%22">Mathematical Models</searchLink><br /><searchLink fieldCode="DE" term="%22Research+Projects%22">Research Projects</searchLink><br /><searchLink fieldCode="DE" term="%22Foreign+Countries%22">Foreign Countries</searchLink><br /><searchLink fieldCode="DE" term="%22Secondary+School+Mathematics%22">Secondary School Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22College+Mathematics%22">College Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Workshops%22">Workshops</searchLink><br /><searchLink fieldCode="DE" term="%22Secondary+School+Teachers%22">Secondary School Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Undergraduate+Students%22">Undergraduate Students</searchLink><br /><searchLink fieldCode="DE" term="%22High+School+Students%22">High School Students</searchLink><br /><searchLink fieldCode="DE" term="%22Numeracy%22">Numeracy</searchLink><br /><searchLink fieldCode="DE" term="%22Heuristics%22">Heuristics</searchLink><br /><searchLink fieldCode="DE" term="%22Formative+Evaluation%22">Formative Evaluation</searchLink><br /><searchLink fieldCode="DE" term="%22Longitudinal+Studies%22">Longitudinal Studies</searchLink> – Name: Subject Label: Geographic Terms Group: Su Data: <searchLink fieldCode="DE" term="%22United+Kingdom%22">United Kingdom</searchLink> – Name: DOI Label: DOI Group: ID Data: 10.1007/s11858-017-0899-8 – Name: ISSN Label: ISSN Group: ISSN Data: 1863-9690 – Name: Abstract Label: Abstract Group: Ab Data: This article describes a sequence of design research projects, some exploratory others more formal, on the teaching of modelling and the analysis of modelling skills. The initial motivation was the author's observation that the teaching of applied mathematics in UK high schools and universities involved no active modelling by students, but was entirely focused on their learning standards models of a restricted range of phenomena, largely from Newtonian mechanics. This did not develop the numeracy/mathematical literacy that was so clearly important for future citizens. Early explorations started with modelling workshops with high school teachers and mathematics undergraduates, observed and analysed--in some case using video. The theoretical basis of this work has been essentially heuristic, though the Shell Centre studies included, for example, a detailed analysis of formulation processes that has not, as so often, been directly replicated. Recent work has focused on developing a formative assessment approach to teaching modelling that has proved both successful and popular. Finally, the system-level challenges in trying to establish modelling as an integral part of mathematics curricula are briefly discussed. – Name: AbstractInfo Label: Abstractor Group: Ab Data: As Provided – Name: Ref Label: Number of References Group: RefInfo Data: 29 – Name: DateEntry Label: Entry Date Group: Date Data: 2018 – Name: AN Label: Accession Number Group: ID Data: EJ1177138 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ1177138 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s11858-017-0899-8 Languages: – Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 61 Subjects: – SubjectFull: Mathematics Instruction Type: general – SubjectFull: Teaching Methods Type: general – SubjectFull: Mathematical Models Type: general – SubjectFull: Research Projects Type: general – SubjectFull: Foreign Countries Type: general – SubjectFull: Secondary School Mathematics Type: general – SubjectFull: College Mathematics Type: general – SubjectFull: Workshops Type: general – SubjectFull: Secondary School Teachers Type: general – SubjectFull: Undergraduate Students Type: general – SubjectFull: High School Students Type: general – SubjectFull: Numeracy Type: general – SubjectFull: Heuristics Type: general – SubjectFull: Formative Evaluation Type: general – SubjectFull: Longitudinal Studies Type: general – SubjectFull: United Kingdom Type: general Titles: – TitleFull: Ways to Teach Modelling--A 50 Year Study Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Burkhardt, Hugh IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Type: published Y: 2018 Identifiers: – Type: issn-print Value: 1863-9690 Numbering: – Type: volume Value: 50 – Type: issue Value: 1-2 Titles: – TitleFull: ZDM: The International Journal on Mathematics Education Type: main |
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