ERIC Number: EJ1235427
Record Type: Journal
Publication Date: 2020
Pages: 14
Abstractor: As Provided
ISBN: N/A
ISSN: EISSN-1306-3030
EISSN: N/A
Representations and Conceptions of Variables in Students' Early Understandings of Functions
Moss, Diana L.; Boyce, Steven; Lamberg, Teruni
International Electronic Journal of Mathematics Education, v15 n2 Article em0564 2020
This study explored how students develop meaning of functions by building on their understanding of expressions and equations. A teaching experiment using design research was conducted in a sixth-grade classroom. The data was analyzed using a grounded theory approach to provide explanations about why events occurred within this teaching episode and what these events mean in terms of student learning of functions (Corbin & Strauss, 2014; Gravemeijer & Cobb, 2006). The findings revealed that understanding functions involved integrating their understanding of different meanings of variables such as "letters representing changing values" and "letters representing known values" to model the situation using an expression, and seeing linear relationships between the independent and dependent variable through graphing. This paper provides a learning progression for supporting early understandings of functions. We discuss implications for research on students' conceptions of variables and implications for fostering functional thinking.
Descriptors: Elementary School Students, Grade 6, Elementary School Mathematics, Algebra, Symbols (Mathematics), Mathematical Concepts, Mathematical Formulas, Mathematical Models, Problem Solving, Graphs
International Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Grade 6; Intermediate Grades; Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A