Using CAS to Solve Classical Mathematics Problems
Saved in:
| Title: | Using CAS to Solve Classical Mathematics Problems |
|---|---|
| Language: | English |
| Authors: | Burke, Maurice J., Burroughs, Elizabeth A. |
| Source: | Mathematics Teacher. May 2009 102(9):672-679. |
| Availability: | National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/ |
| Peer Reviewed: | Y |
| Physical Description: | |
| Page Count: | 8 |
| Publication Date: | 2009 |
| Intended Audience: | Teachers |
| Document Type: | Journal Articles Reports - Descriptive |
| Education Level: | High Schools |
| Descriptors: | Calculus, Algebra, Computer Uses in Education, Teaching Methods, High School Students, Mathematics Instruction, Problem Solving, Educational Technology, History, Secondary School Mathematics |
| ISSN: | 0025-5769 |
| Abstract: | Historically, calculus has displaced many algebraic methods for solving classical problems. This article illustrates an algebraic method for finding the zeros of polynomial functions that is closely related to Newton's method (devised in 1669, published in 1711), which is encountered in calculus. By exploring this problem, precalculus students are introduced to the notable mathematicians Newton, Raphson, Lagrange, and Euler--mathematicians whose work is usually beyond the scope of precalculus courses in school mathematics. With the aid of CAS, students can explore some of the same problems that these historical figures did, thereby combining the history of mathematics with modern tools for analyzing functions. (Contains 8 figures and 1 table.) |
| Abstractor: | ERIC |
| Number of References: | 8 |
| Entry Date: | 2009 |
| Access URL: | https://my.nctm.org/eresources/article_summary.asp?URI=MT2009-05-672a&from=B |
| Accession Number: | EJ838954 |
| Database: | ERIC |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: eric DbLabel: ERIC An: EJ838954 AccessLevel: 3 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Using CAS to Solve Classical Mathematics Problems – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Burke%2C+Maurice+J%2E%22">Burke, Maurice J.</searchLink><br /><searchLink fieldCode="AR" term="%22Burroughs%2C+Elizabeth+A%2E%22">Burroughs, Elizabeth A.</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="SO" term="%22Mathematics+Teacher%22"><i>Mathematics Teacher</i></searchLink>. May 2009 102(9):672-679. – Name: Avail Label: Availability Group: Avail Data: National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/ – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: Y – Name: PhysDesc Label: Physical Description Group: PhysDesc Data: PDF – Name: Pages Label: Page Count Group: Src Data: 8 – Name: DatePubCY Label: Publication Date Group: Date Data: 2009 – Name: Audience Label: Intended Audience Group: Audnce Data: Teachers – Name: TypeDocument Label: Document Type Group: TypDoc Data: Journal Articles<br />Reports - Descriptive – Name: Audience Label: Education Level Group: Audnce Data: <searchLink fieldCode="EL" term="%22High+Schools%22">High Schools</searchLink> – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Calculus%22">Calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+Uses+in+Education%22">Computer Uses in Education</searchLink><br /><searchLink fieldCode="DE" term="%22Teaching+Methods%22">Teaching Methods</searchLink><br /><searchLink fieldCode="DE" term="%22High+School+Students%22">High School Students</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Problem+Solving%22">Problem Solving</searchLink><br /><searchLink fieldCode="DE" term="%22Educational+Technology%22">Educational Technology</searchLink><br /><searchLink fieldCode="DE" term="%22History%22">History</searchLink><br /><searchLink fieldCode="DE" term="%22Secondary+School+Mathematics%22">Secondary School Mathematics</searchLink> – Name: ISSN Label: ISSN Group: ISSN Data: 0025-5769 – Name: Abstract Label: Abstract Group: Ab Data: Historically, calculus has displaced many algebraic methods for solving classical problems. This article illustrates an algebraic method for finding the zeros of polynomial functions that is closely related to Newton's method (devised in 1669, published in 1711), which is encountered in calculus. By exploring this problem, precalculus students are introduced to the notable mathematicians Newton, Raphson, Lagrange, and Euler--mathematicians whose work is usually beyond the scope of precalculus courses in school mathematics. With the aid of CAS, students can explore some of the same problems that these historical figures did, thereby combining the history of mathematics with modern tools for analyzing functions. (Contains 8 figures and 1 table.) – Name: AbstractInfo Label: Abstractor Group: Ab Data: ERIC – Name: Ref Label: Number of References Group: RefInfo Data: 8 – Name: DateEntry Label: Entry Date Group: Date Data: 2009 – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="https://my.nctm.org/eresources/article_summary.asp?URI=MT2009-05-672a&from=B" linkWindow="_blank">http://my.nctm.org/eresources/article_summary.asp?URI=MT2009-05-672a&from=B</link> – Name: AN Label: Accession Number Group: ID Data: EJ838954 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ838954 |
| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 672 Subjects: – SubjectFull: Calculus Type: general – SubjectFull: Algebra Type: general – SubjectFull: Computer Uses in Education Type: general – SubjectFull: Teaching Methods Type: general – SubjectFull: High School Students Type: general – SubjectFull: Mathematics Instruction Type: general – SubjectFull: Problem Solving Type: general – SubjectFull: Educational Technology Type: general – SubjectFull: History Type: general – SubjectFull: Secondary School Mathematics Type: general Titles: – TitleFull: Using CAS to Solve Classical Mathematics Problems Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Burke, Maurice J. – PersonEntity: Name: NameFull: Burroughs, Elizabeth A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Type: published Y: 2009 Identifiers: – Type: issn-print Value: 0025-5769 Numbering: – Type: volume Value: 102 – Type: issue Value: 9 Titles: – TitleFull: Mathematics Teacher Type: main |
| ResultId | 1 |
