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The Future of Embodied Design for Mathematics Teaching and Learning

Dor Abrahamson, Mitchell J. Nathan, Caro Williams-Pierce, Candace Walkington, Erin R. Ottmar, Hortensia Soto, Martha W. Alibali
2020 Frontiers in Education  
We-a cohort of cognitive scientists and design-based researchers of embodied mathematics-survey a set of empirically validated frameworks and principles for enhancing mathematics teaching and learning  ...  as dialogic multimodal activity, and we synthetize a set of principles for educational practice.  ...  Through these physical manipulations of virtual objects, GM transforms algebra from a set of arbitrary rules for transforming symbolic statements to intuitive notions of manipulating concrete objects in  ... 
doi:10.3389/feduc.2020.00147 fatcat:dlthbtsmkvdwfd5gqzlni4gaoe

Grounded and Embodied Mathematical Cognition for Intuition and Proof Playing a Motion-Capture Video Game

Michael Horn, Kelsey Schenck, Fangli Xia, Oh Hoon Kwon, Mitchell J. Nathan, Rebecca Vinsonhaler, Candace Walkington
2020 International Conference of the Learning Sciences  
To engage the body, researchers developed a motion-capture video game, The Hidden Village, designed to elicit physical movement via in-game directed actions.  ...  In-game interactions complement logic and verbal forms of reasoning by promoting simulated actions, which are shown to recur during the student's proof and justification.  ...  We selected this specific participant because his video transcript was especially clear for illustrating the dynamic process of knowledge elaboration via embodied simulation.  ... 
dblp:conf/icls/0001SXKNVW20 fatcat:yuku263mi5gnpj6a366h4qggsa

Embodied Artifacts and Conceptual Performances

Dragan Trninic, Dor Abrahamson
2012 International Conference of the Learning Sciences  
Furthermore, embodied artifacts may become "conceptual performances," wherein performance not merely augments, but stands for and constitutes understanding.  ...  Embodied artifacts lend individuals entry into disciplinary competence via participation in action, refinement of operations, and integration into activity structures.  ...  As such, and via the tutor's attentive guidance, the MIT-P introduced an embodied artifact via which students gradually instantiated and complexified the cultural practice of "proportional reasoning."  ... 
dblp:conf/icls/TrninicA12 fatcat:qbg2uycegzcs7mcuf3dql3oxae

The Limits and Potentials of Deep Learning for Robotics [article]

Niko Sünderhauf, Oliver Brock, Walter Scheirer, Raia Hadsell, Dieter Fox, Jürgen Leitner, Ben Upcroft, Pieter Abbeel, Wolfram Burgard, Michael Milford, Peter Corke
2018 arXiv   pre-print
In this paper we discuss a number of robotics-specific learning, reasoning, and embodiment challenges for deep learning.  ...  We explain the need for better evaluation metrics, highlight the importance and unique challenges for deep robotic learning in simulation, and explore the spectrum between purely data-driven and model-driven  ...  embodiment to improve the quality of the perception process for object detection or semantic segmentation, is currently rarely utilized: a robotic vision system that uses its temporal embodiment can for  ... 
arXiv:1804.06557v1 fatcat:morz2tl7yfemrfwqfwu5nm33sa

Explaining Embodied Cognition Results

George Lakoff
2012 Topics in Cognitive Science  
Experimental results in embodied cognition are seen not only as confirming NTTL but also explained via NTTL, mostly via the neural theory of conceptual metaphor.  ...  From the late 1950s until 1975, cognition was understood mainly as disembodied symbol manipulation in cognitive psychology, linguistics, artificial intelligence, and the nascent field of Cognitive Science  ...  Via computational modeling with biologically plausible neural networks, Narayanan discovered that Process Schemas had two parts: a general process schema, and specific detail schemata.  ... 
doi:10.1111/j.1756-8765.2012.01222.x pmid:22961950 fatcat:rvh7edr34jadhjtoofy5oksuri

Multimodal Abduction: External Semiotic Anchors and Hybrid Representations

Lorenzo Magnani
2006 Logic Journal of the IGPL  
aspects involving a full range of sensory modalities are important in hypothetical reasoning.  ...  I also illustrate how this activity takes advantage of hybrid representations and how it can nicely account for various processes of creative and selective abduction, bringing up the question of how multimodal  ...  For a great distinguishing property of the icon is that by direct observation of it other truths concerning its object can de discovered than those which suffice to determine its construction.  ... 
doi:10.1093/jigpal/jzk009 fatcat:yudnipyxuffq7lgz7xatysymdi

Towards an ecological-dynamics design framework for embodied-interaction conceptual learning: the case of dynamic mathematics environments

Dor Abrahamson, Rotem Abdu
2020 Educational technology research and development  
content through manipulating virtual objects.  ...  To compare these mechanics, we draw from complex dynamic systems theory a constraint-based model of embodied interaction.  ...  Acknowledgements For their helpful comments on earlier drafts, the authors wish to thank Anna Shvarts, Arthur Bakker, Colin Foster, and Dragan Trninic.  ... 
doi:10.1007/s11423-020-09805-1 fatcat:cvqtlsrns5frrbyemgohsgrkoq

Moving Forward: In Search of Synergy Across Diverse Views on the Role of Physical Movement in Design for STEM Education

Dor Abrahamson, Alejandro Andrade, Oskar Lindwall, Arthur Bakker, Mitchell J. Nathan, Candace Walkington, Robb Lindgren, David E. Brown, Asnat R. Zohar, Sharona T. Levy, Joshua A. Danish, Adam Maltese (+8 others)
2018 International Conference of the Learning Sciences  
Inspired by the current embodiment turn in the cognitive sciences, researchers of STEM teaching and learning have been evaluating implications of this turn for educational theory and practice.  ...  To stimulate discussion, we highlight an emerging tension across a set of innovative technological designs with respect to the framing question of whether students should discover an activity's targeted  ...  We report on results from implementing an action-based embodied design for complexity reasoning.  ... 
dblp:conf/icls/AbrahamsonALBNW18 fatcat:qkpthygqpzff5gnsbe6g6qvzq4

The limits and potentials of deep learning for robotics

Niko Sünderhauf, Oliver Brock, Walter Scheirer, Raia Hadsell, Dieter Fox, Jürgen Leitner, Ben Upcroft, Pieter Abbeel, Wolfram Burgard, Michael Milford, Peter Corke
2018 The international journal of robotics research  
In this paper we discuss a number of robotics-specific learning, reasoning, and embodiment challenges for deep learning.  ...  We explain the need for better evaluation metrics, highlight the importance and unique challenges for deep robotic learning in simulation, and explore the spectrum between purely data-driven and model-driven  ...  embodiment to improve the quality of the perception process for object detection or semantic segmentation, is currently rarely utilized: a robotic vision system that uses its temporal embodiment can for  ... 
doi:10.1177/0278364918770733 fatcat:nnbvtisjgngoxpda6mthkmq7k4

Alternative Object Use in Adults and Children: Embodied Cognitive Bases of Creativity

Alla Gubenko, Claude Houssemand
2022 Frontiers in Psychology  
Implications for creativity development in humans and embodied artificial agents are discussed.  ...  associated with object use.  ...  The authors analyzed verbal reports and showed that the task could be solved via various heuristic tools-strategies-discovered by participants during the AUT response generation.  ... 
doi:10.3389/fpsyg.2022.893420 pmid:36118496 pmcid:PMC9480609 fatcat:r4vijgpn5zg4zhbqjcjyrutzca

The Enactive Roots of STEM: Rethinking Educational Design in Mathematics

Daniel D. Hutto, Michael D. Kirchhoff, Dor Abrahamson
2015 Educational Psychology Review  
The "Mathematics as Embodied Practice" section gives the general layout for how to understand mathematics as an embodied practice.  ...  section outlines the substantive contribution REC makes to understanding skill acquisition in the domain of sports and identifies reasons for doubting that it will be possible to apply the same approach  ...  ^Students thus discover, articulate, and empirically validate a systemic action principle governing a phenomenon under inquiry: a proposed correlation between two qualitative properties of a new object-the  ... 
doi:10.1007/s10648-015-9326-2 fatcat:5vky5z44xvenjdlrtxvlpbrgmm

Creative Problem Solving in Artificially Intelligent Agents: A Survey and Framework [article]

Evana Gizzi, Lakshmi Nair, Sonia Chernova, Jivko Sinapov
2022 arXiv   pre-print
Our framework consists of four main components of a CPS problem, namely, 1) problem formulation, 2) knowledge representation, 3) method of knowledge manipulation, and 4) method of evaluation.  ...  We conclude our survey with open research questions, and suggested directions for the future.  ...  Prior work has also focused on modeling and reasoning about objects via semantic networks representing object properties such as affordances and visual properties (Boteanu et al., 2015; Olteţeanu & Falomir  ... 
arXiv:2204.10358v1 fatcat:hiccmw67rjapbo374ucvresaam

Embodied Intelligence [chapter]

Angelo Cangelosi, Josh Bongard, Martin H. Fischer, Stefano Nolfi
2015 Springer Handbook of Computational Intelligence  
It will also discuss some tutorial examples on the modeling of body/brain/environment adaptation for the evolution of morphological computational agents, evolutionary robotics model of navigation and object  ...  Embodied intelligence is the computational approach to the design and understanding of intelligent behavior in embodied and situated agents through the consideration of the strict coupling between the  ...  Despite the fact that the technology for creating jamming grippers has existed for decades, it took a long time for this class of manipulators to be discovered.  ... 
doi:10.1007/978-3-662-43505-2_37 fatcat:n7avzixtybfsrn53ux5ew5bwlu

Prefiguring Ethical Chances: The Role of Moral Mediators [chapter]

Lorenzo Magnani
2006 Studies in Computational Intelligence  
to build prostheses (epistemic mediators) for human minds, by interacting with external objects and representations in a constructive way.  ...  Nevertheless, especially concrete manipulations of the external world constitute a fundamental passage in chance discovery: in science -for example -by a process of manipulative abduction it is possible  ...  This surely suggests that abductive movements have also interesting extra-theoretical characters and that there is a role in abductive reasoning for various kinds of manipulations of external objects.  ... 
doi:10.1007/978-3-540-34353-0_13 fatcat:3krnsx6udzbfrihptk6eati44u

Geospatial semantics: beyond ontologies, towards an enactive approach [article]

Pasquale Di Donato
2009 arXiv   pre-print
We claim for an enactive approach to semantics, where meaning is considered to be an emergent feature arising context-dependently in action.  ...  Reasoning, problem solving, and mental images manipulation depend on bodily structures • Experience: experience is a skilful aspect of embodied activity.  ...  reason and cognition consist of symbols manipulation, where symbols get meaning through a correspondence to the real world (or possible worlds) objectively defined and independent of any interaction with  ... 
arXiv:0901.4224v1 fatcat:ukmm2wyntnaxnehaauhy3qb4mi
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