Using a Pattern Table To Solve Contextualized Proportion Problems
Students in a sixth-grade classroom we visited were celebrating a classmate's birthday and enjoying fun-sized bags of Peanut M&M's candies. We overheard them discussing their curiosity at the small number of blue M&M's each of them had received in their small bags. Because the...
Gespeichert in:
Veröffentlicht in: | Mathematics teaching in the middle school 2003-04, Vol.8 (8), p.432-439 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 439 |
---|---|
container_issue | 8 |
container_start_page | 432 |
container_title | Mathematics teaching in the middle school |
container_volume | 8 |
creator | Sharp, Janet M Adams, Barbara |
description | Students in a sixth-grade classroom we visited were celebrating a classmate's birthday and enjoying fun-sized bags of Peanut M&M's candies. We overheard them discussing their curiosity at the small number of blue M&M's each of them had received in their small bags. Because the students were occupied in an informal, party atmosphere, we were pleasantly surprised to hear one student, Rickea, comment on a related mathematical issue. She speculated that the teacher's class-sized bag would have relatively few blue M&M's, as well. What a wonderful teaching opportunity for ratios and proportions Rickea's casual comment posed! In this article, we describe (1) how we built a week-long, problem-based unit around Rickea's original proportion question and (2) the effectiveness of using problem solving to help Rickea and her classmates construct knowledge about ratio and proportional thinking. |
doi_str_mv | 10.5951/MTMS.8.8.0432 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_231174983</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ericid>EJ668714</ericid><sourcerecordid>322218381</sourcerecordid><originalsourceid>FETCH-LOGICAL-c863-b799b200472b9d7fb68726421b9a62bf7cb1c3d5f29d840549f23600d0123e153</originalsourceid><addsrcrecordid>eNo9kM1LwzAYh4MoWKdHbx6C9858NR_HMeZUNhysnkPSptLRNTPpRP3rTZnI7_C-h4f3_fEAcIvRtFAFfliX6-1UpiBGyRnICCUyL5jk5yDDSJAcSaouwVWMO4QQJlxlYPYW2_4dGrgxw-BCD0tjOwdLD7e--3Rw7vvBfQ1H07U_roab4A8-DK3vxzWR-3gNLhrTRXfzNyegfFyU86d89bp8ns9WeSU5za1QyhKEmCBW1aKxXArCGcFWGU5sIyqLK1oXDVG1ZKhgqiGUI1SnntThgk7A_ensIfiPo4uD3vlj6NNHTSjGgilJE5SfoCr4GINr9CG0exO-NUZ6dKRHR1qmjI4Sf3fiXWirf3bxwlM7zOgvXkRhXA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>231174983</pqid></control><display><type>article</type><title>Using a Pattern Table To Solve Contextualized Proportion Problems</title><source>Jstor Complete Legacy</source><source>JSTOR Mathematics & Statistics</source><creator>Sharp, Janet M ; Adams, Barbara</creator><creatorcontrib>Sharp, Janet M ; Adams, Barbara</creatorcontrib><description>Students in a sixth-grade classroom we visited were celebrating a classmate's birthday and enjoying fun-sized bags of Peanut M&M's candies. We overheard them discussing their curiosity at the small number of blue M&M's each of them had received in their small bags. Because the students were occupied in an informal, party atmosphere, we were pleasantly surprised to hear one student, Rickea, comment on a related mathematical issue. She speculated that the teacher's class-sized bag would have relatively few blue M&M's, as well. What a wonderful teaching opportunity for ratios and proportions Rickea's casual comment posed! In this article, we describe (1) how we built a week-long, problem-based unit around Rickea's original proportion question and (2) the effectiveness of using problem solving to help Rickea and her classmates construct knowledge about ratio and proportional thinking.</description><identifier>ISSN: 1072-0839</identifier><identifier>EISSN: 2328-5486</identifier><identifier>DOI: 10.5951/MTMS.8.8.0432</identifier><language>eng</language><publisher>Reston: National Council of Teachers of Mathematics</publisher><subject>Art Teachers ; Elementary School Mathematics ; Evaluative Thinking ; Familiarity ; Grade 6 ; Housing ; Lesson plans ; Mathematics Curriculum ; Mathematics education ; Mathematics Instruction ; Middle School Students ; Middle Schools ; Numbers ; Problem Solving ; Ratios ; Ratios (Mathematics) ; Repetition ; Student Attitudes ; Student Evaluation ; Teaching Methods ; Thinking Skills</subject><ispartof>Mathematics teaching in the middle school, 2003-04, Vol.8 (8), p.432-439</ispartof><rights>Copyright National Council of Teachers of Mathematics Apr 2003</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids><backlink>$$Uhttp://eric.ed.gov/ERICWebPortal/detail?accno=EJ668714$$DView record in ERIC$$Hfree_for_read</backlink></links><search><creatorcontrib>Sharp, Janet M</creatorcontrib><creatorcontrib>Adams, Barbara</creatorcontrib><title>Using a Pattern Table To Solve Contextualized Proportion Problems</title><title>Mathematics teaching in the middle school</title><description>Students in a sixth-grade classroom we visited were celebrating a classmate's birthday and enjoying fun-sized bags of Peanut M&M's candies. We overheard them discussing their curiosity at the small number of blue M&M's each of them had received in their small bags. Because the students were occupied in an informal, party atmosphere, we were pleasantly surprised to hear one student, Rickea, comment on a related mathematical issue. She speculated that the teacher's class-sized bag would have relatively few blue M&M's, as well. What a wonderful teaching opportunity for ratios and proportions Rickea's casual comment posed! In this article, we describe (1) how we built a week-long, problem-based unit around Rickea's original proportion question and (2) the effectiveness of using problem solving to help Rickea and her classmates construct knowledge about ratio and proportional thinking.</description><subject>Art Teachers</subject><subject>Elementary School Mathematics</subject><subject>Evaluative Thinking</subject><subject>Familiarity</subject><subject>Grade 6</subject><subject>Housing</subject><subject>Lesson plans</subject><subject>Mathematics Curriculum</subject><subject>Mathematics education</subject><subject>Mathematics Instruction</subject><subject>Middle School Students</subject><subject>Middle Schools</subject><subject>Numbers</subject><subject>Problem Solving</subject><subject>Ratios</subject><subject>Ratios (Mathematics)</subject><subject>Repetition</subject><subject>Student Attitudes</subject><subject>Student Evaluation</subject><subject>Teaching Methods</subject><subject>Thinking Skills</subject><issn>1072-0839</issn><issn>2328-5486</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNo9kM1LwzAYh4MoWKdHbx6C9858NR_HMeZUNhysnkPSptLRNTPpRP3rTZnI7_C-h4f3_fEAcIvRtFAFfliX6-1UpiBGyRnICCUyL5jk5yDDSJAcSaouwVWMO4QQJlxlYPYW2_4dGrgxw-BCD0tjOwdLD7e--3Rw7vvBfQ1H07U_roab4A8-DK3vxzWR-3gNLhrTRXfzNyegfFyU86d89bp8ns9WeSU5za1QyhKEmCBW1aKxXArCGcFWGU5sIyqLK1oXDVG1ZKhgqiGUI1SnntThgk7A_ensIfiPo4uD3vlj6NNHTSjGgilJE5SfoCr4GINr9CG0exO-NUZ6dKRHR1qmjI4Sf3fiXWirf3bxwlM7zOgvXkRhXA</recordid><startdate>20030401</startdate><enddate>20030401</enddate><creator>Sharp, Janet M</creator><creator>Adams, Barbara</creator><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>0-V</scope><scope>3V.</scope><scope>7XB</scope><scope>88B</scope><scope>8A4</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ALSLI</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CJNVE</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>M0P</scope><scope>M2O</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PADUT</scope><scope>PQEDU</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20030401</creationdate><title>Using a Pattern Table To Solve Contextualized Proportion Problems</title><author>Sharp, Janet M ; Adams, Barbara</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c863-b799b200472b9d7fb68726421b9a62bf7cb1c3d5f29d840549f23600d0123e153</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Art Teachers</topic><topic>Elementary School Mathematics</topic><topic>Evaluative Thinking</topic><topic>Familiarity</topic><topic>Grade 6</topic><topic>Housing</topic><topic>Lesson plans</topic><topic>Mathematics Curriculum</topic><topic>Mathematics education</topic><topic>Mathematics Instruction</topic><topic>Middle School Students</topic><topic>Middle Schools</topic><topic>Numbers</topic><topic>Problem Solving</topic><topic>Ratios</topic><topic>Ratios (Mathematics)</topic><topic>Repetition</topic><topic>Student Attitudes</topic><topic>Student Evaluation</topic><topic>Teaching Methods</topic><topic>Thinking Skills</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sharp, Janet M</creatorcontrib><creatorcontrib>Adams, Barbara</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>ProQuest Central (purchase pre-March 2016)</collection><collection>Education Database (Alumni Edition)</collection><collection>Education Periodicals</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</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>Advanced Technologies & Aerospace 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>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Education Database</collection><collection>Research Library</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Research Library China</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 teaching in the middle school</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sharp, Janet M</au><au>Adams, Barbara</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><ericid>EJ668714</ericid><atitle>Using a Pattern Table To Solve Contextualized Proportion Problems</atitle><jtitle>Mathematics teaching in the middle school</jtitle><date>2003-04-01</date><risdate>2003</risdate><volume>8</volume><issue>8</issue><spage>432</spage><epage>439</epage><pages>432-439</pages><issn>1072-0839</issn><eissn>2328-5486</eissn><abstract>Students in a sixth-grade classroom we visited were celebrating a classmate's birthday and enjoying fun-sized bags of Peanut M&M's candies. We overheard them discussing their curiosity at the small number of blue M&M's each of them had received in their small bags. Because the students were occupied in an informal, party atmosphere, we were pleasantly surprised to hear one student, Rickea, comment on a related mathematical issue. She speculated that the teacher's class-sized bag would have relatively few blue M&M's, as well. What a wonderful teaching opportunity for ratios and proportions Rickea's casual comment posed! In this article, we describe (1) how we built a week-long, problem-based unit around Rickea's original proportion question and (2) the effectiveness of using problem solving to help Rickea and her classmates construct knowledge about ratio and proportional thinking.</abstract><cop>Reston</cop><pub>National Council of Teachers of Mathematics</pub><doi>10.5951/MTMS.8.8.0432</doi><tpages>8</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1072-0839 |
ispartof | Mathematics teaching in the middle school, 2003-04, Vol.8 (8), p.432-439 |
issn | 1072-0839 2328-5486 |
language | eng |
recordid | cdi_proquest_journals_231174983 |
source | Jstor Complete Legacy; JSTOR Mathematics & Statistics |
subjects | Art Teachers Elementary School Mathematics Evaluative Thinking Familiarity Grade 6 Housing Lesson plans Mathematics Curriculum Mathematics education Mathematics Instruction Middle School Students Middle Schools Numbers Problem Solving Ratios Ratios (Mathematics) Repetition Student Attitudes Student Evaluation Teaching Methods Thinking Skills |
title | Using a Pattern Table To Solve Contextualized Proportion Problems |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-06T11%3A12%3A51IST&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=Using%20a%20Pattern%20Table%20To%20Solve%20Contextualized%20Proportion%20Problems&rft.jtitle=Mathematics%20teaching%20in%20the%20middle%20school&rft.au=Sharp,%20Janet%20M&rft.date=2003-04-01&rft.volume=8&rft.issue=8&rft.spage=432&rft.epage=439&rft.pages=432-439&rft.issn=1072-0839&rft.eissn=2328-5486&rft_id=info:doi/10.5951/MTMS.8.8.0432&rft_dat=%3Cproquest_cross%3E322218381%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=231174983&rft_id=info:pmid/&rft_ericid=EJ668714&rfr_iscdi=true |