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ERIC Number: EJ1237193
Record Type: Journal
Publication Date: 2019
Pages: 23
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1473-0111
EISSN: N/A
Conceptions of Expressions and Equations in Early Algebra: A Learning Trajectory
Moss, Diana L.; Lamberg, Teruni
International Journal for Mathematics Teaching and Learning, v20 n2 p170-192 2019
This article describes a learning trajectory on expressions and equations based on the sixth-grade Common Core State Standards for Mathematics (NGA/CCSSO, 2010). A classroom teaching experiment using design research (Lamberg & Middleton, 2009) was conducted. The data was analysed using Corbin and Strauss' (2014) Constant Comparative method and Creswell's (2007) data analysis spiral. The realized trajectory that emerged and the design decisions that were made were documented. The findings reveal that student understanding of the changing meaning of letters and variables within a problem context played a central role in student development of conceptual understanding of expressions and equations. Specifically, solving the different problem types involved the following types of thinking: "Label Thinker," "Formulaic Thinker," "Substituter," "Solver," and "Functional Thinker." The letter was interpreted as a label representing a category, a known value, a variable as an unknown value, and a variable as a changing quantity depending on the problem context. Implications for classroom instruction and curriculum development are discussed.
Centre for Innovation in Mathematics Teaching. 5th Floor Rolle Building, Faculty of Education University of Plymouth, Drake Circus, Plymouth, PL4 8AA, UK. Tel: +44-1752-585346; Fax: +44-1752-585344; e-mail: feedback@cimt.org.uk; Web site: http://www.cimt.org.uk/ijmtl/index.php/IJMTL/about
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Grade 6; Intermediate Grades; Middle Schools; Junior High Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A