Students' Conceptions of Sine and Cosine Functions When Representing Periodic Motion in a Visual Programming Environment
In support of efforts to foreground functions as central objects of study in algebra, this study provides evidence of how secondary students use trigonometric functions in contextual tasks. The author examined secondary students' work on a problem involving modeling the periodic motion of a Fer...
Gespeichert in:
| Veröffentlicht in: | Journal for research in mathematics education 2018-07, Vol.49 (4), p.390-423 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 423 |
|---|---|
| container_issue | 4 |
| container_start_page | 390 |
| container_title | Journal for research in mathematics education |
| container_volume | 49 |
| creator | DeJarnette, Anna F |
| description | In support of efforts to foreground functions as central objects of study in algebra, this study provides evidence of how secondary students use trigonometric functions in contextual tasks. The author examined secondary students' work on a problem involving modeling the periodic motion of a Ferris wheel through the use of a visual programming environment. This study illustrates the range of prior knowledge and resources that students may draw on in their use of trigonometric functions as well as how the goals of students' work inform their reasoning about trigonometric functions. |
| doi_str_mv | 10.5951/jresematheduc.49.4.0390 |
| format | Article |
| fullrecord | <record><control><sourceid>jstor_proqu</sourceid><recordid>TN_cdi_proquest_journals_2090265125</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ericid>EJ1183659</ericid><jstor_id>10.5951/jresematheduc.49.4.0390</jstor_id><sourcerecordid>10.5951/jresematheduc.49.4.0390</sourcerecordid><originalsourceid>FETCH-LOGICAL-c344t-bd12e207088c3d3cb6fbede6e452d4de4a9e1e70b73bbe1cc533944dfd4f32603</originalsourceid><addsrcrecordid>eNp1kE9P3DAQxS1UJLbAR0BY4sCl2Y7_JesjWi1tERUI2nK0EnsCXhF7sRPUfvsmCkLqoacZzfu9edIj5JTBUmnFPm8TZuzq_gndYJdSL-UShIY9smBaqoILKD-QBQBnxYordkA-5rwFgIpBuSC_7_vBYejzOV3HYHHX-xgyjS299wFpHdx4z9N6OQQ7iw9PGOgd7qbg0PvwSG8x-ei8pd_jhFAfaE1_-TzUz_Q2xcdUd93EbcKrTzF0o-2I7Lf1c8bjt3lIfl5ufqy_Ftc3X76tL64LK6Tsi8YxjhwqWK2scMI2ZdugwxKl4k46lLVGhhU0lWgaZNYqIbSUrnWyFbwEcUjO5r-7FF8GzL3ZxiGFMdJw0MBLxbgaqWqmbIo5J2zNLvmuTn8MAzPVbP6p2UhtpJlqHp0ns3OswL67NleMrUSp9Kh_mvVt7mN6B_737i-RKpEB</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2090265125</pqid></control><display><type>article</type><title>Students' Conceptions of Sine and Cosine Functions When Representing Periodic Motion in a Visual Programming Environment</title><source>JSTOR Mathematics & Statistics</source><source>JSTOR Archive Collection A-Z Listing</source><source>Alma/SFX Local Collection</source><creator>DeJarnette, Anna F</creator><creatorcontrib>DeJarnette, Anna F</creatorcontrib><description>In support of efforts to foreground functions as central objects of study in algebra, this study provides evidence of how secondary students use trigonometric functions in contextual tasks. The author examined secondary students' work on a problem involving modeling the periodic motion of a Ferris wheel through the use of a visual programming environment. This study illustrates the range of prior knowledge and resources that students may draw on in their use of trigonometric functions as well as how the goals of students' work inform their reasoning about trigonometric functions.</description><identifier>ISSN: 0021-8251</identifier><identifier>EISSN: 1945-2306</identifier><identifier>DOI: 10.5951/jresematheduc.49.4.0390</identifier><language>eng</language><publisher>Washington: National Council of Teachers of Mathematics (NCTM)</publisher><subject>Algebra ; Computer Uses in Education ; Ferris wheels ; High School Students ; Knowledge ; Logical Thinking ; Mathematical Concepts ; Mathematical models ; Mathematics education ; Mathematics Instruction ; Motion ; Prior Learning ; Problem Solving ; Programming ; Programming environments ; Secondary School Mathematics ; Semiotics ; Students ; Trigonometric functions ; Trigonometry</subject><ispartof>Journal for research in mathematics education, 2018-07, Vol.49 (4), p.390-423</ispartof><rights>Copyright 2018 National Council of Teachers of Mathematics, Inc.</rights><rights>Copyright National Council of Teachers of Mathematics Jul 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c344t-bd12e207088c3d3cb6fbede6e452d4de4a9e1e70b73bbe1cc533944dfd4f32603</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,803,832,27923,27924</link.rule.ids><backlink>$$Uhttp://eric.ed.gov/ERICWebPortal/detail?accno=EJ1183659$$DView record in ERIC$$Hfree_for_read</backlink></links><search><creatorcontrib>DeJarnette, Anna F</creatorcontrib><title>Students' Conceptions of Sine and Cosine Functions When Representing Periodic Motion in a Visual Programming Environment</title><title>Journal for research in mathematics education</title><description>In support of efforts to foreground functions as central objects of study in algebra, this study provides evidence of how secondary students use trigonometric functions in contextual tasks. The author examined secondary students' work on a problem involving modeling the periodic motion of a Ferris wheel through the use of a visual programming environment. This study illustrates the range of prior knowledge and resources that students may draw on in their use of trigonometric functions as well as how the goals of students' work inform their reasoning about trigonometric functions.</description><subject>Algebra</subject><subject>Computer Uses in Education</subject><subject>Ferris wheels</subject><subject>High School Students</subject><subject>Knowledge</subject><subject>Logical Thinking</subject><subject>Mathematical Concepts</subject><subject>Mathematical models</subject><subject>Mathematics education</subject><subject>Mathematics Instruction</subject><subject>Motion</subject><subject>Prior Learning</subject><subject>Problem Solving</subject><subject>Programming</subject><subject>Programming environments</subject><subject>Secondary School Mathematics</subject><subject>Semiotics</subject><subject>Students</subject><subject>Trigonometric functions</subject><subject>Trigonometry</subject><issn>0021-8251</issn><issn>1945-2306</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kE9P3DAQxS1UJLbAR0BY4sCl2Y7_JesjWi1tERUI2nK0EnsCXhF7sRPUfvsmCkLqoacZzfu9edIj5JTBUmnFPm8TZuzq_gndYJdSL-UShIY9smBaqoILKD-QBQBnxYordkA-5rwFgIpBuSC_7_vBYejzOV3HYHHX-xgyjS299wFpHdx4z9N6OQQ7iw9PGOgd7qbg0PvwSG8x-ei8pd_jhFAfaE1_-TzUz_Q2xcdUd93EbcKrTzF0o-2I7Lf1c8bjt3lIfl5ufqy_Ftc3X76tL64LK6Tsi8YxjhwqWK2scMI2ZdugwxKl4k46lLVGhhU0lWgaZNYqIbSUrnWyFbwEcUjO5r-7FF8GzL3ZxiGFMdJw0MBLxbgaqWqmbIo5J2zNLvmuTn8MAzPVbP6p2UhtpJlqHp0ns3OswL67NleMrUSp9Kh_mvVt7mN6B_737i-RKpEB</recordid><startdate>20180701</startdate><enddate>20180701</enddate><creator>DeJarnette, Anna F</creator><general>National Council of Teachers of Mathematics (NCTM)</general><general>National Council of Teachers of Mathematics</general><scope>7SW</scope><scope>BJH</scope><scope>BNH</scope><scope>BNI</scope><scope>BNJ</scope><scope>BNO</scope><scope>ERI</scope><scope>PET</scope><scope>REK</scope><scope>WWN</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>JQ2</scope></search><sort><creationdate>20180701</creationdate><title>Students' Conceptions of Sine and Cosine Functions When Representing Periodic Motion in a Visual Programming Environment</title><author>DeJarnette, Anna F</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c344t-bd12e207088c3d3cb6fbede6e452d4de4a9e1e70b73bbe1cc533944dfd4f32603</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Algebra</topic><topic>Computer Uses in Education</topic><topic>Ferris wheels</topic><topic>High School Students</topic><topic>Knowledge</topic><topic>Logical Thinking</topic><topic>Mathematical Concepts</topic><topic>Mathematical models</topic><topic>Mathematics education</topic><topic>Mathematics Instruction</topic><topic>Motion</topic><topic>Prior Learning</topic><topic>Problem Solving</topic><topic>Programming</topic><topic>Programming environments</topic><topic>Secondary School Mathematics</topic><topic>Semiotics</topic><topic>Students</topic><topic>Trigonometric functions</topic><topic>Trigonometry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>DeJarnette, Anna F</creatorcontrib><collection>ERIC</collection><collection>ERIC (Ovid)</collection><collection>ERIC</collection><collection>ERIC</collection><collection>ERIC (Legacy Platform)</collection><collection>ERIC( SilverPlatter )</collection><collection>ERIC</collection><collection>ERIC PlusText (Legacy Platform)</collection><collection>Education Resources Information Center (ERIC)</collection><collection>ERIC</collection><collection>CrossRef</collection><collection>ProQuest Computer Science Collection</collection><jtitle>Journal for research in mathematics education</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>DeJarnette, Anna F</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><ericid>EJ1183659</ericid><atitle>Students' Conceptions of Sine and Cosine Functions When Representing Periodic Motion in a Visual Programming Environment</atitle><jtitle>Journal for research in mathematics education</jtitle><date>2018-07-01</date><risdate>2018</risdate><volume>49</volume><issue>4</issue><spage>390</spage><epage>423</epage><pages>390-423</pages><issn>0021-8251</issn><eissn>1945-2306</eissn><abstract>In support of efforts to foreground functions as central objects of study in algebra, this study provides evidence of how secondary students use trigonometric functions in contextual tasks. The author examined secondary students' work on a problem involving modeling the periodic motion of a Ferris wheel through the use of a visual programming environment. This study illustrates the range of prior knowledge and resources that students may draw on in their use of trigonometric functions as well as how the goals of students' work inform their reasoning about trigonometric functions.</abstract><cop>Washington</cop><pub>National Council of Teachers of Mathematics (NCTM)</pub><doi>10.5951/jresematheduc.49.4.0390</doi><tpages>34</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0021-8251 |
| ispartof | Journal for research in mathematics education, 2018-07, Vol.49 (4), p.390-423 |
| issn | 0021-8251 1945-2306 |
| language | eng |
| recordid | cdi_proquest_journals_2090265125 |
| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; Alma/SFX Local Collection |
| subjects | Algebra Computer Uses in Education Ferris wheels High School Students Knowledge Logical Thinking Mathematical Concepts Mathematical models Mathematics education Mathematics Instruction Motion Prior Learning Problem Solving Programming Programming environments Secondary School Mathematics Semiotics Students Trigonometric functions Trigonometry |
| title | Students' Conceptions of Sine and Cosine Functions When Representing Periodic Motion in a Visual Programming Environment |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-08T16%3A32%3A56IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Students'%20Conceptions%20of%20Sine%20and%20Cosine%20Functions%20When%20Representing%20Periodic%20Motion%20in%20a%20Visual%20Programming%20Environment&rft.jtitle=Journal%20for%20research%20in%20mathematics%20education&rft.au=DeJarnette,%20Anna%20F&rft.date=2018-07-01&rft.volume=49&rft.issue=4&rft.spage=390&rft.epage=423&rft.pages=390-423&rft.issn=0021-8251&rft.eissn=1945-2306&rft_id=info:doi/10.5951/jresematheduc.49.4.0390&rft_dat=%3Cjstor_proqu%3E10.5951/jresematheduc.49.4.0390%3C/jstor_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2090265125&rft_id=info:pmid/&rft_ericid=EJ1183659&rft_jstor_id=10.5951/jresematheduc.49.4.0390&rfr_iscdi=true |