Findings: "In a formative case study of the Categorizer for a fractal activity in three middle grade (ages 11–14) classrooms, there was evidence that participating students began to evaluate fractals based on structural and mathematical properties, and afterward could create algorithms that would generate fractals with particular area reduction rates. Further analysis revealed that students’ construction and categorization experiences could be better integrated by explicitly scaffolding discussion and negotiation of the categorization schemes they develop. This led to the development of a new module that enables teachers and students to explore points of agreement and disagreement across student categorization schemes" (p. 99).
Sample Size: 20
Participant Type: Middle grade students, age 11-14, 3 classrooms