Defining, a central practice in mathematics, is different from the daily practice of clarifying the meaning of words. Mathematics students often have trouble formulating definitions, interpreting new definitions, and using definitions in proof and problem solving. And whereas students may be able to state many mathematical definitions, these are often presented and received as facts. ...
Create an engaging environment in which learners can have a collaborative, embodied experience of geometry.
Learning is Moving in New Ways
UCB Committee on Research: Faculty Research Grants, 2008-2011
The Mathematics Imagery Trainer for Proportion: Make the screen green!
At EDRL we have become increasingly interested in the idea that “learning is moving in new ways.” This phrase has two meanings: It is both about students learning new concepts by physically moving ...
A communicative platform that surfaces the embodied interactions of students in Special Education.
Mathematics learning as grounded in developing new sensorimotor perceptual structures.
Signs of mathematics: Fostering the development of conceptual gestures among deaf students
Special Education Embodied Design (SpEED) sets out to develop guiding principles for building and running embodied design for special education students’ learning of mathematics.
Fostering youth academic resilience in computer science
At the Center for Connected Learning and Computer-Based Modeling (Uri Wilensky, Director), we were: (a) building agent-based computer models as learning tools for students to simulate scientific, mathematical, and social phenomena; and (b) analyzing emprical data from our design experiments to develop theoretical models of cognition, teaching, and learning. These theoretical models were by and large expressed ...
Dissertation Project, Sneha Veeragoudar Harrell
Design-based research utilizing a critical and constructionist pedagogical philosophy in an alternative high school setting to study mathematical agency, computational literacy, and identity.
Veeragoudar Harrell, S., & Abrahamson, D. (2010). Second Life Unplugged: A design for fostering at-risk students’ STEM agency. In H. Gazit, D. L. Garcia, G. LeMasers, & L. Morgado (Eds.) ...
A virtual pedagogical agent designed to support students in an embodied, discovery-based learning environment.
Giant Steps for Algebra (GS4A) is the dissertation project of Kiera Chase.
GS4A is a design-based research project investigating the cognition, teaching, and learning of early algebra. The project is centered on a technology-based activity, in which students use computer-interface resources so as to model a narrative about a giant burying stolen treasure on a desert island. ...
Analyzing videotaped classroom interactions to understand the roles of gesture in the design, teaching, and learning of mathematics.
Abrahamson, D. (2007). Handling problems: Embodied reasoning in situated mathematics. In T. Lamberg & L. Wiest (Eds.), Proceedings of the Twenty Ninth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 219 ...
In collaboration with Betina Zolkower, Ph.D., Brooklyn College, CUNY.
In the PDMPS project, we designed, implemented, and evaluated an experimental curriculum for pre-service teachers and future education researchers enrolled in graduate-level college courses on mathematics cognition, learning, and instruction. Central to this design are selected ‘paradigmatic didactical-mathematical problematic situations,’ i.e., unique activities evoked as contexts for collaborative ...
Bridging Informal and Formal Visualizations of Probability Experiments
Seed funding: National Academy of Education/Spencer Foundation postdoctoral fellowship to Abrahamson, 2005-6
The Marbles Scooper (design: Dor Abrahamson; engineering & production: Paulo Blikstein). Random sampling of four marbles.
The Combinations Tower, the sample space of this probability experiment.
An outcome distribution from a computer-based simulation of the marbles-scooping experiment.
Consider this paradox. On the ...
UCB Committee on Research: Junior Faculty Research Grant, 2006-7
This research direction, part of the Seeing Chance project, consisted of conducting and analyzing probability-related clinical interviews with college students majoring in statistics to explore issues of intuitive reasoning.
Abrahamson, D. (2007, April). The real world as a trick question: Undergraduate statistics majors’ construction-based modeling of probability. Paper presented ...
Research into the mechanisms and potential role of imagination in mathematical reasoning.
Abrahamson, D. (2006, June). The three M’s: Imagination, embodiment, and mathematics. Paper presented at the annual conference of the Jean Piaget Society, June 1-3, Baltimore, MD.
ABSTRACT: The objective of this paper is to call for research into the mechanisms and potential agency of imagination in mathematical ...