Designing To See And Share Structure In Number Sequences.
Saved in:
| Title: | Designing To See And Share Structure In Number Sequences. |
|---|---|
| Authors: | Yishay Mor1 yishaym@gmail.com, Noss, Richard1 r.noss@ioe.ac.uk, Hoyles, Celia1 c.hoyles@ioe.ac.uk, Kahn, Ken1 k.kahn@ioe.ac.uk, Simpson, Gordon1 g.simpson@ioe.ac.uk |
| Source: | International Journal for Technology in Mathematics Education. 2006, Vol. 13 Issue 2, p65-78. 14p. |
| Subject Terms: | *Mathematics education, *Activity programs in education, *Algebra, *Education, Number theory |
| Abstract: | This paper reports on a design experiment in the domain of number sequences conducted in the course of the WebLabs project. We iteratively designed and tested a set of activities and tools in which 10-14 year old students used the ToonTalk programming environment to construct models of sequences and series, and then shared their models and their observations about them utilising a web-based collaboration system. We report on the evolution of a design pattern (or programming method) called 'streams' which enables students to engage in the process of summing and 'holding the series in their hand', and consequently make sophisticated arguments regarding the mathematical structures of the sequences without requiring the use of algebra. While the focus of this paper is mainly on the design of activities, and in particular their epistemological foundations, some illustrative examples from the work of one group of students indicate the potential of the activities and tools for expressing and reflecting on deep mathematical ideas. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal for Technology in Mathematics Education is the property of Research Information Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Education Research Complete |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: ehh DbLabel: Education Research Complete An: 22034992 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Designing To See And Share Structure In Number Sequences. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yishay+Mor%22">Yishay Mor</searchLink><relatesTo>1</relatesTo><i> yishaym@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Noss%2C+Richard%22">Noss, Richard</searchLink><relatesTo>1</relatesTo><i> r.noss@ioe.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Hoyles%2C+Celia%22">Hoyles, Celia</searchLink><relatesTo>1</relatesTo><i> c.hoyles@ioe.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Kahn%2C+Ken%22">Kahn, Ken</searchLink><relatesTo>1</relatesTo><i> k.kahn@ioe.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Simpson%2C+Gordon%22">Simpson, Gordon</searchLink><relatesTo>1</relatesTo><i> g.simpson@ioe.ac.uk</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+for+Technology+in+Mathematics+Education%22">International Journal for Technology in Mathematics Education</searchLink>. 2006, Vol. 13 Issue 2, p65-78. 14p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Mathematics+education%22">Mathematics education</searchLink><br />*<searchLink fieldCode="DE" term="%22Activity+programs+in+education%22">Activity programs in education</searchLink><br />*<searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink><br />*<searchLink fieldCode="DE" term="%22Education%22">Education</searchLink><br /><searchLink fieldCode="DE" term="%22Number+theory%22">Number theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper reports on a design experiment in the domain of number sequences conducted in the course of the WebLabs project. We iteratively designed and tested a set of activities and tools in which 10-14 year old students used the ToonTalk programming environment to construct models of sequences and series, and then shared their models and their observations about them utilising a web-based collaboration system. We report on the evolution of a design pattern (or programming method) called 'streams' which enables students to engage in the process of summing and 'holding the series in their hand', and consequently make sophisticated arguments regarding the mathematical structures of the sequences without requiring the use of algebra. While the focus of this paper is mainly on the design of activities, and in particular their epistemological foundations, some illustrative examples from the work of one group of students indicate the potential of the activities and tools for expressing and reflecting on deep mathematical ideas. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal for Technology in Mathematics Education is the property of Research Information Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=22034992 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 65 Subjects: – SubjectFull: Mathematics education Type: general – SubjectFull: Activity programs in education Type: general – SubjectFull: Algebra Type: general – SubjectFull: Education Type: general – SubjectFull: Number theory Type: general Titles: – TitleFull: Designing To See And Share Structure In Number Sequences. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yishay Mor – PersonEntity: Name: NameFull: Noss, Richard – PersonEntity: Name: NameFull: Hoyles, Celia – PersonEntity: Name: NameFull: Kahn, Ken – PersonEntity: Name: NameFull: Simpson, Gordon IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: 2006 Type: published Y: 2006 Identifiers: – Type: issn-print Value: 17442710 Numbering: – Type: volume Value: 13 – Type: issue Value: 2 Titles: – TitleFull: International Journal for Technology in Mathematics Education Type: main |
| ResultId | 1 |
