Projects
"Kinemathics": Kinetically Induced Mathematical Learning - UCB Committee on Research: Faculty Research Grant, 2008-9 [$5k]
Seeing Chance: Fostering Student Implicit Knowledge Towards Fluency in the Domain of Probability and Statistics — Conducting and analyzing a set of one-on-one interviews with Grades 4 - 6 students engaged in probability-related activities (see previous and current design). Seed grant: Spencer/National Academy of Education postdoctoral fellowship to Abrahamson, 2005-6 [$65k].
The Real World as a Trick Question: Mathematical Modeling, Knowledge, and Assessment — Conducting and analyzing probability-related clinical interviews with college students majoring in statistics to explore issues of intuitive reasoning. UCB Committee on Research: Junior Faculty Research Grant, 2006-7 [$6k] (read paper).
Handing Down Mathematics: The Roles of Gesture in the Design, Teaching, and Learning of Ratio and Proportion — Analyzing videotaped classroom interactions to understand the roles of gesture in the design, teaching, and learning of mathematics.
Distributed Learning in Practice and Theory — Tackling distributed-learning theoretical models from a complexity-studies perspective to frame the design and implementation of agent-based models and their extensions that support participatory simulations in mathematics classrooms; Using agent-based modeling to study and develop theoretical models of group learning (read sample paper).
The Three M's: Imagination, Embodiment, and Mathematics — Research into the mechanisms and potential agency of imagination in mathematical reasoning (read abstract).
Fractal Village — Design-based research utilizing a critical and constructionist pedagogical philosophy in an alternative high school setting to study mathematical agency, computational literacy, and identity.