The Emergence of Abstract Representations in Dyad Problem Solving
Abstract
Three experiments examined whether group cognitions generate a product that is not easily ascribed to the cognitions that similar individuals have working alone. In each study, secondary-school students solved novel problems working either as individuals or in two-person groups called dyads. An examination of their problem-solving representations demonstrated that the dyads constructed abstractions well above the rate one would expect given a "most competent member" model of group performance applied to the empirical rate of individual abstractions. In the first experiment, dyads induced a numerical parity rule for determining the motions of linked gears four times more often than individuals, who instead tended to rely exclusively on modeling the gears' physical behaviors. In a second experiment requiring the construction of visualizations on the topic of biological transmissions, dyads made abstract visualizations (e.g., directed graphs) significantly more often than individuals. In a third experiment requiring a visualization of organisms and their habitat requirements, dyads made abstract visualizations (e.g., matrices) five times more often than individuals, who instead tended to draw pictures. These results are striking because a long history of experimentation has found little evidence that group performances can match the performances of the most competent individuals, let alone exceed them. The extremely high frequency of abstract representations among dyads suggests…
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Creating abstract representations is key to collective problem solving, forming shared representations and making tacit knowledge visible.
“Schwartz (1995) suggests that the creation of abstract representations is a key to collective problem solving; it forms a mechanism for the 'construction of shared representation' and assists in making tacit knowledge visible.”
From An Activity Theory framework to explore distributed communities (1997) · cites this paper as Schwartz, 1995
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Darling-Hammond, L., Flook, L., Cook-Harvey, C., Barron, B., & Osher, D. (2020) · Applied Developmental Science · doi:10.1080/10888691.2018.1537791 · Cited by 2,733 · see citing works
“There is evidence that collaborators can generate strategies and abstract problem representations that are extremely unlikely to be observed when individuals work alone, suggesting that there are unique benefits of joint thinking (Schwartz, 1995).”
BackgroundDeFT: A conceptual framework for considering learning with multiple representations
Ainsworth, S. (2006) · Learning and Instruction · doi:10.1016/j.learninstruc.2006.03.001 · Cited by 1,673 · see citing works
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“…et al., 1995), coordinated talk (Barron, 2000), co-construction (Azmitia & Montgomery, 1993; Forman & Kraker, 1985; Hatano, 1993; Hogan et al., 1999; Schwartz, 1995), co-regulation (Volet et al., 2009) and shared regulation (Iiskala et al., 2011; Roschelle & Teasley, 1995; Vau-ras et al., 2003),…”
- Authors
- Schwartz, D. L.
- Corresponding author
- Schwartz, Daniel L.
- ORCID
- Schwartz, Daniel L.
- Venue
- Journal of the Learning Sciences
- Publisher
- Informa UK Limited
- Published
- 1995-07
- Volume
- 4
- Issue
- 3
- Pages
- 321-354
- ISSN
- 1050-8406 (ISSN-L)
- 1532-7809
- OpenAlex
- W2058173850
- Cited by
- 410
- References
- 4
- Citations by year
- 2026: 2 · 2025: 6 · 2024: 7 · 2023: 49 · 2022: 20 · 2021: 17 · 2020: 5 · 2019: 22 · 2018: 18 · 2017: 23 · 2016: 24 · 2015: 22 · 2014: 16 · 2013: 19 · 2012: 8
- FWCI
- 3.77
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of the Learning Sciences (publishedVersion)
- Topics
- Social Sciences › Psychology › Developmental and Educational Psychology › Innovative Teaching and Learning Methods
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Visual and Cognitive Learning Processes
- Social Sciences › Education › Science Education and Pedagogy
- Keywords
- abstract representation, dyads, collaborative problem solving, group cognition, common ground, visualization, directed graphs, matrices, biological transmission, high school students, group versus individual performance
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