ERIC Number: ED606548
Record Type: Non-Journal
Publication Date: 2018
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
Scaling Continuous Covariation: Supporting Middle School Students' Algebraic Reasoning
Ellis, Amy; Ely, Rob; Singleton, Brandon; Tasova, Halil Ibrahim
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (40th, Greenville, SC, Nov 15-18, 2018)
Middle school is a critical time when students begin formal study of functional relationships in algebra. However, many students struggle in understanding functions as relationships between quantities that change according to a dependency relationship. We report on the influence of Scaling Continuous Covariation in fostering productive ideas about graphical relationships and rates of change. Scaling Continuous Covariation entails the ability to imagine a re-scaling to any increment for "x" and coordinate that scaling with associated values for "y." We present findings from two students, one who reasoned with Scaling Continuous Covariation and one who did not, and report on how Scaling Continuous Covariation supported students' reasoning in three ways: (a) sense making about graphs, (b) forming constant rates of change, and (c) understanding constantly-changing rates of change. [For the complete proceedings, see ED606531.]
Descriptors: Middle School Mathematics, Middle School Students, Algebra, Mathematical Logic, Mathematics Instruction, Graphs, Thinking Skills, Grade 7
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: Junior High Schools; Middle Schools; Secondary Education; Elementary Education; Intermediate Grades; Grade 7
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: DRL1419973