Explicitly Connecting Mathematical Ideas: How Well Is It Done?

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Title: Explicitly Connecting Mathematical Ideas: How Well Is It Done?
Language: English
Authors: Hurst, Chris, Huntley, Ray, Mathematics Education Research Group of Australasia
Source: Mathematics Education Research Group of Australasia. 2017Paper presented at the Annual Meeting of the Mathematics Education Research Group of Australasia (MERGA) (40th, Melbourne, Victoria, Australia, 2017).
Availability: Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: sales@merga.net.au; Web site: http://www.merga.net.au/
Peer Reviewed: N
Page Count: 8
Publication Date: 2017
Document Type: Speeches/Meeting Papers
Reports - Research
Education Level: Elementary Education
Descriptors: Multiplication, Mathematics Skills, Mathematical Logic, Mathematical Concepts, Concept Formation, Foreign Countries, Elementary School Mathematics, Elementary School Students, Mental Computation
Geographic Terms: Australia
Abstract: Multiplicative thinking is a critical stage of mathematical understanding upon which many mathematical ideas are built. The myriad aspects of multiplicative thinking and the connections between them need to be explicitly developed. One such connection is the relationship between place value partitioning and the distributive property of multiplication. In this paper, we explore the extent to which students understand partitioning and relate it to the distributive property and whether they understand how the property is used in the standard multiplication algorithm.
Abstractor: As Provided
Number of References: 13
Entry Date: 2018
Accession Number: ED589450
Database: ERIC
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  Availability: 0
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  Data: <searchLink fieldCode="SO" term="%22Mathematics+Education+Research+Group+of+Australasia%22"><i>Mathematics Education Research Group of Australasia</i></searchLink>. 2017Paper presented at the Annual Meeting of the Mathematics Education Research Group of Australasia (MERGA) (40th, Melbourne, Victoria, Australia, 2017).
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  Data: Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: sales@merga.net.au; Web site: http://www.merga.net.au/
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  Data: <searchLink fieldCode="DE" term="%22Multiplication%22">Multiplication</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Skills%22">Mathematics Skills</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Logic%22">Mathematical Logic</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Concepts%22">Mathematical Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Concept+Formation%22">Concept Formation</searchLink><br /><searchLink fieldCode="DE" term="%22Foreign+Countries%22">Foreign Countries</searchLink><br /><searchLink fieldCode="DE" term="%22Elementary+School+Mathematics%22">Elementary School Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Elementary+School+Students%22">Elementary School Students</searchLink><br /><searchLink fieldCode="DE" term="%22Mental+Computation%22">Mental Computation</searchLink>
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  Data: Multiplicative thinking is a critical stage of mathematical understanding upon which many mathematical ideas are built. The myriad aspects of multiplicative thinking and the connections between them need to be explicitly developed. One such connection is the relationship between place value partitioning and the distributive property of multiplication. In this paper, we explore the extent to which students understand partitioning and relate it to the distributive property and whether they understand how the property is used in the standard multiplication algorithm.
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  Data: As Provided
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      – Text: English
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    Subjects:
      – SubjectFull: Multiplication
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      – SubjectFull: Mathematics Skills
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      – SubjectFull: Mathematical Logic
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      – SubjectFull: Mathematical Concepts
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      – SubjectFull: Concept Formation
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      – SubjectFull: Foreign Countries
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      – SubjectFull: Elementary School Mathematics
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      – SubjectFull: Elementary School Students
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      – SubjectFull: Mental Computation
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      – SubjectFull: Australia
        Type: general
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      – TitleFull: Explicitly Connecting Mathematical Ideas: How Well Is It Done?
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