Search results for author:"Dor_Abrahamson"
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The Shape of Things to Come: The Computational Pictograph as a Bridge from Combinatorial Space to Outcome Distribution
International Journal of Computers for Mathematical Learning Vol. 11, No. 1 (April 2006) pp. 137–146
This snapshot introduces a computer-based representation and activity that enables students to simultaneously "see" the combinatorial space of a stochastic device (e.g., dice, spinner, coins) and its outcome distribution. The author argues that the "...
Journal of the Learning Sciences Vol. 21, No. 4 (2012) pp. 626–649
Some intensive quantities, such as slope, velocity, or likelihood, are perceptually privileged in the sense that they are experienced as holistic, irreducible sensations. However, the formal expression of these quantities uses "a/b" analytic metrics;...
Journal of Virtual Worlds Research Vol. 2, No. 5 (Jun 11, 2010)
At an alternative high school serving predominantly at-risk underrepresented students evicted from mainstream education, we designed and implemented Fractal Village, a critical-constructionist computational and mathematical pedagogy learning...
International Journal of Computers for Mathematical Learning Vol. 12, No. 1 (April 2007) pp. 23–55
We introduce a design-based research framework, "learning axes and bridging tools," and demonstrate its application in the preparation and study of an implementation of a middle-school experimental computer-based unit on probability and statistics, "...
Journal of Statistics Education Vol. 14, No. 1 (March 2006)
ProbLab is a probability-and-statistics unit developed at the Center for Connected Learning and Computer-Based Modeling, Northwestern University. Students analyze the combinatorial space of the 9-block, a 3-by-3 grid of squares, in which each square ...
Technology, Knowledge and Learning Vol. 17, No. 1 (April 2012) pp. 61–86
How do instructors guide students to discover mathematical content? Are current explanatory models of pedagogical practice suitable to capture pragmatic essentials of discovery-based instruction? We examined videographed data from the implementation ...
Technology, Knowledge and Learning Vol. 16, No. 1 (April 2011) pp. 55–85
Radical constructivists advocate discovery-based pedagogical regimes that enable students to incrementally and continuously adapt their cognitive structures to the instrumented cultural environment. Some sociocultural theorists, however, maintain...
From Tacit Sensorimotor Coupling to Articulated Mathematical Reasoning in an Embodied Design for Proportional Reasoning
Annual Meeting of the American Educational Research Association 2011 (Oct 05, 2011)
Mathematics education designers and researchers are beginning to appreciate the pedagogical potential of embodied interaction (EI) instructional activities, yet little theory is available to understand its historical roots, sociocognitive mechanisms,...