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Effects of Classroom Instruction on Students' Understanding of Quadratic Equations

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Title: Effects of Classroom Instruction on Students' Understanding of Quadratic Equations
Language: English
Authors: Vaiyavutjamai, Pongchawee, Clements, M. A.
Source: Mathematics Education Research Journal. 2006 18(1):47-77.
Availability: Mathematics Education Research Group of Australasia. MERGA-GPO Box 2747, Adelaide, South Australia 5001, Australia. Web Site: http://www.merga.net.au/
Peer Reviewed: Y
Page Count: 31
Publication Date: 2006
Document Type: Journal Articles
Reports - Evaluative
Education Level: Grade 9
Descriptors: Foreign Countries, Equations (Mathematics), Grade 9, Algebra, Mathematics Instruction, Secondary School Mathematics, Problem Solving, Scoring Rubrics, Teaching Methods, Interviews, Mathematics Achievement, Mathematical Concepts, Instructional Effectiveness
Geographic Terms: Thailand
ISSN: 1033-2170
Abstract: Two hundred and thirty-one students in six Grade 9 classes in two government secondary schools located near Chiang Mai, Thailand, attempted to solve the same 18 quadratic equations before and after participating in 11 lessons on quadratic equations. Data from the students' written responses to the equations, together with data in the form of transcripts of 36 interviews with 18 interviewees (a high performer, a medium performer, and a low performer from each of the six classes), were analysed. Using a rubric for assessing students' understanding, the analysis revealed that at the post-teaching stage students improved their performance on quadratic equations and had a better understanding of associated concepts than they had at the pre-teaching stage. However, many were still confused about the concepts of a variable and of a "solution" to a quadratic equation. After the lessons, most students had acquired neither an instrumental nor a relational understanding of the mathematics associated with solving elementary quadratic equations. (Contains 8 tables and 2 figures.)
Abstractor: Author
Number of References: 53
Entry Date: 2007
Access URL: https://www.merga.net.au/publications/merj_display.php?volume=18&number=1&abstract=1
Accession Number: EJ766062
Database: ERIC
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  Data: <searchLink fieldCode="SO" term="%22Mathematics+Education+Research+Journal%22"><i>Mathematics Education Research Journal</i></searchLink>. 2006 18(1):47-77.
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  Data: Mathematics Education Research Group of Australasia. MERGA-GPO Box 2747, Adelaide, South Australia 5001, Australia. Web Site: http://www.merga.net.au/
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  Data: Two hundred and thirty-one students in six Grade 9 classes in two government secondary schools located near Chiang Mai, Thailand, attempted to solve the same 18 quadratic equations before and after participating in 11 lessons on quadratic equations. Data from the students' written responses to the equations, together with data in the form of transcripts of 36 interviews with 18 interviewees (a high performer, a medium performer, and a low performer from each of the six classes), were analysed. Using a rubric for assessing students' understanding, the analysis revealed that at the post-teaching stage students improved their performance on quadratic equations and had a better understanding of associated concepts than they had at the pre-teaching stage. However, many were still confused about the concepts of a variable and of a "solution" to a quadratic equation. After the lessons, most students had acquired neither an instrumental nor a relational understanding of the mathematics associated with solving elementary quadratic equations. (Contains 8 tables and 2 figures.)
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      – Text: English
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      – SubjectFull: Grade 9
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      – SubjectFull: Interviews
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      – SubjectFull: Thailand
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