Trigonometric Functions and the Sensations of Tone.
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| Title: | Trigonometric Functions and the Sensations of Tone. |
|---|---|
| Authors: | Todd, Philip1 philt@saltire.com, Aley, Danny1 dannya@saltire.com |
| Source: | International Journal for Technology in Mathematics Education. 2023, Vol. 30 Issue 3, p155-161. 7p. |
| Subject Terms: | *Calculus education, *Educational technology, *Interactive learning, Trigonometric functions, Algebra software |
| Abstract: | Music provides an excellent setting for students to explore trigonometric functions in a setting which is independent of their utility iii resolving triangles. In this paper, we present several investigations using trigonometric functions to model musical phenomena, From a mathematical technology point of view, most examples require only function graphing and can be explored using a modern interactive graphing application. One example, however, is an excellent application of trigonometric simplification, for which a Computer Algebra System is a useful tool. A final application is suitable for calculus students and provides an exercise in integration by parts. This can be done by hand, or with the aid of an algebra system. [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 |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 173353037 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Trigonometric Functions and the Sensations of Tone. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Todd%2C+Philip%22">Todd, Philip</searchLink><relatesTo>1</relatesTo><i> philt@saltire.com</i><br /><searchLink fieldCode="AR" term="%22Aley%2C+Danny%22">Aley, Danny</searchLink><relatesTo>1</relatesTo><i> dannya@saltire.com</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>. 2023, Vol. 30 Issue 3, p155-161. 7p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Calculus+education%22">Calculus education</searchLink><br />*<searchLink fieldCode="DE" term="%22Educational+technology%22">Educational technology</searchLink><br />*<searchLink fieldCode="DE" term="%22Interactive+learning%22">Interactive learning</searchLink><br /><searchLink fieldCode="DE" term="%22Trigonometric+functions%22">Trigonometric functions</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra+software%22">Algebra software</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Music provides an excellent setting for students to explore trigonometric functions in a setting which is independent of their utility iii resolving triangles. In this paper, we present several investigations using trigonometric functions to model musical phenomena, From a mathematical technology point of view, most examples require only function graphing and can be explored using a modern interactive graphing application. One example, however, is an excellent application of trigonometric simplification, for which a Computer Algebra System is a useful tool. A final application is suitable for calculus students and provides an exercise in integration by parts. This can be done by hand, or with the aid of an algebra system. [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=173353037 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1564/tme_v30.3.6 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 155 Subjects: – SubjectFull: Calculus education Type: general – SubjectFull: Educational technology Type: general – SubjectFull: Interactive learning Type: general – SubjectFull: Trigonometric functions Type: general – SubjectFull: Algebra software Type: general Titles: – TitleFull: Trigonometric Functions and the Sensations of Tone. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Todd, Philip – PersonEntity: Name: NameFull: Aley, Danny IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: 2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 17442710 Numbering: – Type: volume Value: 30 – Type: issue Value: 3 Titles: – TitleFull: International Journal for Technology in Mathematics Education Type: main |
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