ERIC Number: EJ1104995
Record Type: Journal
Publication Date: 2016
Pages: 31
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1098-6065
EISSN: N/A
An Exponential Growth Learning Trajectory: Students' Emerging Understanding of Exponential Growth through Covariation
Ellis, Amy B.; Ozgur, Zekiye; Kulow, Torrey; Dogan, Muhammed F.; Amidon, Joel
Mathematical Thinking and Learning: An International Journal, v18 n3 p151-181 2016
This article presents an Exponential Growth Learning Trajectory (EGLT), a trajectory identifying and characterizing middle grade students' initial and developing understanding of exponential growth as a result of an instructional emphasis on covariation. The EGLT explicates students' thinking and learning over time in relation to a set of tasks and activities developed to engender a view of exponential growth as a relation between two continuously covarying quantities. Developed out of two teaching experiments with early adolescents, the EGLT identifies three major stages of students' conceptual development: prefunctional reasoning, the covariation view, and the correspondence view. The learning trajectory is presented along with three individual students' progressions through the trajectory as a way to illustrate the variation present in how the participants made sense of ideas about exponential growth.
Descriptors: Numbers, Mathematics, Mathematics Instruction, Middle School Students, Teaching Methods, Experiments, Mathematics Activities, Mathematical Models, Grade 8, Minority Group Students, Partnerships in Education, College School Cooperation, Data Analysis, Mathematics Achievement, Equations (Mathematics), Algebra, Qualitative Research, Comparative Analysis
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Publication Type: Journal Articles; Reports - Research
Education Level: Middle Schools; Secondary Education; Junior High Schools; Grade 8; Elementary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: REC0952415