2013
DOI: 10.1007/s11858-013-0521-7
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Coordinating visualizations of polysemous action: values added for grounding proportion

Abstract: We contribute to research on visualization as an epistemic learning tool by inquiring into the didactical potential of having students visualize one phenomenon in accord with two different partial meanings of the same concept. 22 Grade 4-6 students participated in a design study that investigated the emergence of proportionalequivalence notions from mediated perceptuomotor schemas. Working as individuals or pairs in tutorial clinical interviews, students solved non-symbolic interaction problems that utilized r… Show more

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Cited by 54 publications
(47 citation statements)
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References 34 publications
(25 reference statements)
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“…Students devise a broad variety of sensorimotor schemes for enacting a target movement [2,7,8,12]. Knowing what schemes students are employing is critical for supporting their learning, and yet determining these schemes has been a challenging engineering task.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Students devise a broad variety of sensorimotor schemes for enacting a target movement [2,7,8,12]. Knowing what schemes students are employing is critical for supporting their learning, and yet determining these schemes has been a challenging engineering task.…”
Section: Discussionmentioning
confidence: 99%
“…It remains an open challenge to enable automatic assessment at the strategy level and to provide subsequent appropriate instruction, valorization, providing of correction hints, asking of questions that provoke reflection, and introduction of new artifacts. The nature of strategies exhibited during interaction with MITp have been deduced through manual analysis of data streams collected during tutoring in previous work and were determined to be helpful states to transition through while learning [7]. Three distinct strategies were identified in past work as most important and are described below.…”
Section: The Proportionality Tutor Appmentioning
confidence: 99%
“…One could also argue that proportion is both discrete-think of all discrete instances (4:8, 5:10, etc. )-and continuous: Put your hands on the table and move them up in such a way that the right hand is moving twice as fast as the left one; your hands then move proportionally in a continuous way (Abrahamson et al 2014). I propose to use this concept of Aufhebung to lift the tension between guidance and discovery, and lift up the discussion about discovery learning to a higher level.…”
Section: Sublationmentioning
confidence: 99%
“…In this paper, we leverage intensive, qualitative micro-analyses of multimodal behaviors (e.g., Abrahamson, Lee, Negrete, & Gutiérrez, 2014;Nathan, Wolfgram, Srisurichan, Walkington, & Alibali, 2017;Nemirovsky, 2011;Schoenfeld, Smith, & Arcavi, 1991) to investigate how relational equity is manifested and how strategies for solving equivalence problems emerge during and after peer collaboration. This analysis brings together traditions and research methods from psychology and mathematics education to paint a richer, more complete picture of collaborative learning than that offered by either discipline alone.…”
Section: The Current Studymentioning
confidence: 99%