Teaching students to apply formula using instructional materials: a case of a Singapore teacher’s practice
It is easy to dismiss the work of “teaching students to apply formula” as a low-order priority and thus trivialises the professional knowledge associated with this practice. Our encounter with an experienced teacher—through the examination of her practices and elaborations—challenges this simplistic...
Gespeichert in:
| Veröffentlicht in: | Mathematics education research journal 2021-03, Vol.33 (1), p.89-111 |
|---|---|
| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 111 |
|---|---|
| container_issue | 1 |
| container_start_page | 89 |
| container_title | Mathematics education research journal |
| container_volume | 33 |
| creator | Leong, Yew Hoong Cheng, Lu Pien Toh, Wei Yeng Karen Kaur, Berinderjeet Toh, Tin Lam |
| description | It is easy to dismiss the work of “teaching students to apply formula” as a low-order priority and thus trivialises the professional knowledge associated with this practice. Our encounter with an experienced teacher—through the examination of her practices and elaborations—challenges this simplistic assumption. There are layers of complexities that are as yet under-discussed in the existing literature. This paper reports a case study of her practices that reflect a complex integration of relevant theories in task design. Through examining her praxis around the theme of “recognise the form”, we discuss theoretical ideas that can potentially advance principles in the sequencing of examples for the purpose of helping students develop proficiency in applying formula. |
| doi_str_mv | 10.1007/s13394-019-00290-1 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2507365040</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ericid>EJ1292787</ericid><sourcerecordid>2507365040</sourcerecordid><originalsourceid>FETCH-LOGICAL-c341t-f2567e071c42408f545d413172f5d932731c74619202059e58a6069bcfabb26e3</originalsourceid><addsrcrecordid>eNp9kM1KAzEUhYMoWKsvIAgB16P3JpNJx52U-kfBhQruQpomdcp0ZkwyC3e-hq_nk5g6ojtXN3DOd-7NIeQY4QwB5HlAzss8AywzAFZChjtkxBhiBgKed8kIgfOMoYR9chDCGkBwXsCI1I9Wm5eqWdEQ-6VtYqCxpbrr6jfqWr_pa037sNWrJkTfm1i1ja7pRkfrK12HC6qp0cHS1qXXQ3LqrvWWxm2u9Z_vH4F2XifO2EOy5xJij37mmDxdzR6nN9n8_vp2ejnPDM8xZo6JQlqQaHKWw8SJXCxz5CiZE8uSM8nRyLzAkgEDUVox0QUU5cI4vViwwvIxOR1yO9--9jZEtW57n84OigmQvBCQQ3KxwWV8G4K3TnW-2mj_phDUtlU1tKpSq-q7VYUJOhmg9HvzC8zukJVMTmTS-aCHpDUr6_9W_5P6BbMahHs</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2507365040</pqid></control><display><type>article</type><title>Teaching students to apply formula using instructional materials: a case of a Singapore teacher’s practice</title><source>SpringerLink Journals</source><creator>Leong, Yew Hoong ; Cheng, Lu Pien ; Toh, Wei Yeng Karen ; Kaur, Berinderjeet ; Toh, Tin Lam</creator><creatorcontrib>Leong, Yew Hoong ; Cheng, Lu Pien ; Toh, Wei Yeng Karen ; Kaur, Berinderjeet ; Toh, Tin Lam</creatorcontrib><description>It is easy to dismiss the work of “teaching students to apply formula” as a low-order priority and thus trivialises the professional knowledge associated with this practice. Our encounter with an experienced teacher—through the examination of her practices and elaborations—challenges this simplistic assumption. There are layers of complexities that are as yet under-discussed in the existing literature. This paper reports a case study of her practices that reflect a complex integration of relevant theories in task design. Through examining her praxis around the theme of “recognise the form”, we discuss theoretical ideas that can potentially advance principles in the sequencing of examples for the purpose of helping students develop proficiency in applying formula.</description><identifier>ISSN: 1033-2170</identifier><identifier>EISSN: 2211-050X</identifier><identifier>DOI: 10.1007/s13394-019-00290-1</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Cognitive load ; Difficulty Level ; Education ; Experienced Teachers ; Foreign Countries ; Instructional Effectiveness ; Instructional Materials ; Mathematical Formulas ; Mathematics Education ; Mathematics Instruction ; Original Article ; Sequential Approach ; Students ; Teachers ; Teaching</subject><ispartof>Mathematics education research journal, 2021-03, Vol.33 (1), p.89-111</ispartof><rights>Mathematics Education Research Group of Australasia, Inc. 2019</rights><rights>Mathematics Education Research Group of Australasia, Inc. 2019.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c341t-f2567e071c42408f545d413172f5d932731c74619202059e58a6069bcfabb26e3</citedby><cites>FETCH-LOGICAL-c341t-f2567e071c42408f545d413172f5d932731c74619202059e58a6069bcfabb26e3</cites><orcidid>0000-0001-5018-3798</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s13394-019-00290-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s13394-019-00290-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttp://eric.ed.gov/ERICWebPortal/detail?accno=EJ1292787$$DView record in ERIC$$Hfree_for_read</backlink></links><search><creatorcontrib>Leong, Yew Hoong</creatorcontrib><creatorcontrib>Cheng, Lu Pien</creatorcontrib><creatorcontrib>Toh, Wei Yeng Karen</creatorcontrib><creatorcontrib>Kaur, Berinderjeet</creatorcontrib><creatorcontrib>Toh, Tin Lam</creatorcontrib><title>Teaching students to apply formula using instructional materials: a case of a Singapore teacher’s practice</title><title>Mathematics education research journal</title><addtitle>Math Ed Res J</addtitle><description>It is easy to dismiss the work of “teaching students to apply formula” as a low-order priority and thus trivialises the professional knowledge associated with this practice. Our encounter with an experienced teacher—through the examination of her practices and elaborations—challenges this simplistic assumption. There are layers of complexities that are as yet under-discussed in the existing literature. This paper reports a case study of her practices that reflect a complex integration of relevant theories in task design. Through examining her praxis around the theme of “recognise the form”, we discuss theoretical ideas that can potentially advance principles in the sequencing of examples for the purpose of helping students develop proficiency in applying formula.</description><subject>Cognitive load</subject><subject>Difficulty Level</subject><subject>Education</subject><subject>Experienced Teachers</subject><subject>Foreign Countries</subject><subject>Instructional Effectiveness</subject><subject>Instructional Materials</subject><subject>Mathematical Formulas</subject><subject>Mathematics Education</subject><subject>Mathematics Instruction</subject><subject>Original Article</subject><subject>Sequential Approach</subject><subject>Students</subject><subject>Teachers</subject><subject>Teaching</subject><issn>1033-2170</issn><issn>2211-050X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kM1KAzEUhYMoWKsvIAgB16P3JpNJx52U-kfBhQruQpomdcp0ZkwyC3e-hq_nk5g6ojtXN3DOd-7NIeQY4QwB5HlAzss8AywzAFZChjtkxBhiBgKed8kIgfOMoYR9chDCGkBwXsCI1I9Wm5eqWdEQ-6VtYqCxpbrr6jfqWr_pa037sNWrJkTfm1i1ja7pRkfrK12HC6qp0cHS1qXXQ3LqrvWWxm2u9Z_vH4F2XifO2EOy5xJij37mmDxdzR6nN9n8_vp2ejnPDM8xZo6JQlqQaHKWw8SJXCxz5CiZE8uSM8nRyLzAkgEDUVox0QUU5cI4vViwwvIxOR1yO9--9jZEtW57n84OigmQvBCQQ3KxwWV8G4K3TnW-2mj_phDUtlU1tKpSq-q7VYUJOhmg9HvzC8zukJVMTmTS-aCHpDUr6_9W_5P6BbMahHs</recordid><startdate>20210301</startdate><enddate>20210301</enddate><creator>Leong, Yew Hoong</creator><creator>Cheng, Lu Pien</creator><creator>Toh, Wei Yeng Karen</creator><creator>Kaur, Berinderjeet</creator><creator>Toh, Tin Lam</creator><general>Springer Netherlands</general><general>Springer</general><general>Springer Nature B.V</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>0-V</scope><scope>3V.</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>7U5</scope><scope>7XB</scope><scope>88B</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ALSLI</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CJNVE</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>KR7</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0P</scope><scope>M7S</scope><scope>PQEDU</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><orcidid>https://orcid.org/0000-0001-5018-3798</orcidid></search><sort><creationdate>20210301</creationdate><title>Teaching students to apply formula using instructional materials: a case of a Singapore teacher’s practice</title><author>Leong, Yew Hoong ; Cheng, Lu Pien ; Toh, Wei Yeng Karen ; Kaur, Berinderjeet ; Toh, Tin Lam</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c341t-f2567e071c42408f545d413172f5d932731c74619202059e58a6069bcfabb26e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Cognitive load</topic><topic>Difficulty Level</topic><topic>Education</topic><topic>Experienced Teachers</topic><topic>Foreign Countries</topic><topic>Instructional Effectiveness</topic><topic>Instructional Materials</topic><topic>Mathematical Formulas</topic><topic>Mathematics Education</topic><topic>Mathematics Instruction</topic><topic>Original Article</topic><topic>Sequential Approach</topic><topic>Students</topic><topic>Teachers</topic><topic>Teaching</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Leong, Yew Hoong</creatorcontrib><creatorcontrib>Cheng, Lu Pien</creatorcontrib><creatorcontrib>Toh, Wei Yeng Karen</creatorcontrib><creatorcontrib>Kaur, Berinderjeet</creatorcontrib><creatorcontrib>Toh, Tin Lam</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 Social Sciences Premium Collection</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Education Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Social Science Premium Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Education Collection</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Education Database (ProQuest)</collection><collection>Engineering Database</collection><collection>ProQuest One Education</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Mathematics education research journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Leong, Yew Hoong</au><au>Cheng, Lu Pien</au><au>Toh, Wei Yeng Karen</au><au>Kaur, Berinderjeet</au><au>Toh, Tin Lam</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><ericid>EJ1292787</ericid><atitle>Teaching students to apply formula using instructional materials: a case of a Singapore teacher’s practice</atitle><jtitle>Mathematics education research journal</jtitle><stitle>Math Ed Res J</stitle><date>2021-03-01</date><risdate>2021</risdate><volume>33</volume><issue>1</issue><spage>89</spage><epage>111</epage><pages>89-111</pages><issn>1033-2170</issn><eissn>2211-050X</eissn><abstract>It is easy to dismiss the work of “teaching students to apply formula” as a low-order priority and thus trivialises the professional knowledge associated with this practice. Our encounter with an experienced teacher—through the examination of her practices and elaborations—challenges this simplistic assumption. There are layers of complexities that are as yet under-discussed in the existing literature. This paper reports a case study of her practices that reflect a complex integration of relevant theories in task design. Through examining her praxis around the theme of “recognise the form”, we discuss theoretical ideas that can potentially advance principles in the sequencing of examples for the purpose of helping students develop proficiency in applying formula.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s13394-019-00290-1</doi><tpages>23</tpages><orcidid>https://orcid.org/0000-0001-5018-3798</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1033-2170 |
| ispartof | Mathematics education research journal, 2021-03, Vol.33 (1), p.89-111 |
| issn | 1033-2170 2211-050X |
| language | eng |
| recordid | cdi_proquest_journals_2507365040 |
| source | SpringerLink Journals |
| subjects | Cognitive load Difficulty Level Education Experienced Teachers Foreign Countries Instructional Effectiveness Instructional Materials Mathematical Formulas Mathematics Education Mathematics Instruction Original Article Sequential Approach Students Teachers Teaching |
| title | Teaching students to apply formula using instructional materials: a case of a Singapore teacher’s practice |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T23%3A43%3A54IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Teaching%20students%20to%20apply%20formula%20using%20instructional%20materials:%20a%20case%20of%20a%20Singapore%20teacher%E2%80%99s%20practice&rft.jtitle=Mathematics%20education%20research%20journal&rft.au=Leong,%20Yew%20Hoong&rft.date=2021-03-01&rft.volume=33&rft.issue=1&rft.spage=89&rft.epage=111&rft.pages=89-111&rft.issn=1033-2170&rft.eissn=2211-050X&rft_id=info:doi/10.1007/s13394-019-00290-1&rft_dat=%3Cproquest_cross%3E2507365040%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2507365040&rft_id=info:pmid/&rft_ericid=EJ1292787&rfr_iscdi=true |