ERIC Number: EJ877909
Record Type: Journal
Publication Date: 2010-Apr
Abstractor: As Provided
Reference Count: 0
Visual Templates in Pattern Generalization Activity
Rivera, F. D.
Educational Studies in Mathematics, v73 n3 p297-328 Apr 2010
In this research article, I present evidence of the existence of visual templates in pattern generalization activity. Such templates initially emerged from a 3-week design-driven classroom teaching experiment on pattern generalization involving linear figural patterns and were assessed for existence in a clinical interview that was conducted four and a half months after the teaching experiment using three tasks (one ambiguous, two well defined). Drawing on the clinical interviews conducted with 11 seventh- and eighth-grade students, I discuss how their visual templates have spawned at least six types of algebraic generalizations. A visual template model is also presented that illustrates the distributed and a dynamically embedded nature of pattern generalization involving the following factors: pattern goodness effect; knowledge/action effects; and the triad of stage-driven grouping, structural unit, and analogy.
Descriptors: Mathematical Concepts, Generalization, Interviews, Models, Grade 7, Grade 8, Experimental Teaching, Mathematical Models, Goodness of Fit
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Publication Type: Journal Articles; Reports - Research
Education Level: Grade 7; Grade 8
Authoring Institution: N/A