Young Children's Intuitive Understanding of Rectangular Area Measurement
The focus of this article is the strategies young children use to solve rectangular covering tasks before they have been taught area measurement. One hundred fifteen children from Grades 1 to 4 were observed while they solved various array-based tasks, and their drawings were collected and analyzed....
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Veröffentlicht in: | Journal for research in mathematics education 2000-03, Vol.31 (2), p.144-167 |
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description | The focus of this article is the strategies young children use to solve rectangular covering tasks before they have been taught area measurement. One hundred fifteen children from Grades 1 to 4 were observed while they solved various array-based tasks, and their drawings were collected and analyzed. Children's solution strategies were classified into 5 developmental levels; we suggest that children sequentially learn 4 principles underlying rectangular covering. In the analysis we emphasize the importance of understanding the relation between the size of the unit and the dimensions of the rectangle in learning about rectangular covering, clarify the role of multiplication, and identify the significance of a relational understanding of length measurement. Implications for the learning of area measurement are addressed. |
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Implications for the learning of area measurement are addressed.</description><identifier>ISSN: 0021-8251</identifier><identifier>EISSN: 1945-2306</identifier><identifier>DOI: 10.2307/749749</identifier><identifier>CODEN: JRMEDN</identifier><language>eng</language><publisher>Washington: National Council of Teachers of Mathematics</publisher><subject>Area ; Children ; Childrens Art ; Cognitive Development ; Concept formation ; Early Childhood Education ; Educational research ; Elementary School Teachers ; Geometric concepts ; Grade 1 ; Grade 3 ; Grade 4 ; Learning Strategies ; Manipulative Materials ; Mathematical concepts ; Mathematics Education ; Measurement ; Measuring rulers ; Multiplication ; Primary school students ; Problem solving ; Rectangles ; Representations (Mathematics) ; Secondary School Students ; Spatial ability ; Student Teachers ; Tiles ; Visualization ; Young Children</subject><ispartof>Journal for research in mathematics education, 2000-03, Vol.31 (2), p.144-167</ispartof><rights>Copyright 2000 The National Council of Teachers of Mathematics, Inc.</rights><rights>Copyright National Council of Teachers of Mathematics Mar 2000</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c357t-44554a31a3058c9637f7f4cf0558c8d0cd4d28ef41a28b10f99a35c719745d753</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/749749$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/749749$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,777,781,800,829,27905,27906,57998,58002,58231,58235</link.rule.ids><backlink>$$Uhttp://eric.ed.gov/ERICWebPortal/detail?accno=EJ604027$$DView record in ERIC$$Hfree_for_read</backlink></links><search><creatorcontrib>Outhred, Lynne N.</creatorcontrib><creatorcontrib>Mitchelmore, Michael C.</creatorcontrib><title>Young Children's Intuitive Understanding of Rectangular Area Measurement</title><title>Journal for research in mathematics education</title><description>The focus of this article is the strategies young children use to solve rectangular covering tasks before they have been taught area measurement. 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Implications for the learning of area measurement are addressed.</description><subject>Area</subject><subject>Children</subject><subject>Childrens Art</subject><subject>Cognitive Development</subject><subject>Concept formation</subject><subject>Early Childhood Education</subject><subject>Educational research</subject><subject>Elementary School Teachers</subject><subject>Geometric concepts</subject><subject>Grade 1</subject><subject>Grade 3</subject><subject>Grade 4</subject><subject>Learning Strategies</subject><subject>Manipulative Materials</subject><subject>Mathematical concepts</subject><subject>Mathematics Education</subject><subject>Measurement</subject><subject>Measuring rulers</subject><subject>Multiplication</subject><subject>Primary school students</subject><subject>Problem solving</subject><subject>Rectangles</subject><subject>Representations (Mathematics)</subject><subject>Secondary School Students</subject><subject>Spatial ability</subject><subject>Student 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Children's Intuitive Understanding of Rectangular Area Measurement</title><author>Outhred, Lynne N. ; Mitchelmore, Michael C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c357t-44554a31a3058c9637f7f4cf0558c8d0cd4d28ef41a28b10f99a35c719745d753</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2000</creationdate><topic>Area</topic><topic>Children</topic><topic>Childrens Art</topic><topic>Cognitive Development</topic><topic>Concept formation</topic><topic>Early Childhood Education</topic><topic>Educational research</topic><topic>Elementary School Teachers</topic><topic>Geometric concepts</topic><topic>Grade 1</topic><topic>Grade 3</topic><topic>Grade 4</topic><topic>Learning Strategies</topic><topic>Manipulative Materials</topic><topic>Mathematical concepts</topic><topic>Mathematics Education</topic><topic>Measurement</topic><topic>Measuring rulers</topic><topic>Multiplication</topic><topic>Primary 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subjects | Area Children Childrens Art Cognitive Development Concept formation Early Childhood Education Educational research Elementary School Teachers Geometric concepts Grade 1 Grade 3 Grade 4 Learning Strategies Manipulative Materials Mathematical concepts Mathematics Education Measurement Measuring rulers Multiplication Primary school students Problem solving Rectangles Representations (Mathematics) Secondary School Students Spatial ability Student Teachers Tiles Visualization Young Children |
title | Young Children's Intuitive Understanding of Rectangular Area Measurement |
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