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Correspondence-based analogies for choosing problem representations

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conference contribution
posted on 2023-06-10, 01:01 authored by Aaron Stockdill, Daniel Raggi, Mateja Jamnik, Grecia Garcia Garcia, Holly E A Sutherland, Peter ChengPeter Cheng, Advait Sarkar
Mathematics and computing students learn new concepts and fortify their expertise by solving problems. The representation of a problem, be it through algebra, diagrams, or code, is key to understanding and solving it. Multiple-representation interactive environments are a promising approach, but the task of choosing an appropriate representation is largely placed on the user. We propose a new method to recommend representations based on correspondences: conceptual links between domains. Correspondences can be used to analyse, identify, and construct analogies even when the analogical target is unknown. This paper explains how correspondences build on probability theory and Gentner's structure-mapping framework; proposes rules for semi-automated correspondence discovery; and describes how correspondences can explain and construct analogies.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Proceedings of IEEE Symposium on Visual Languages and Human-Centric Computing, VL/HCC

ISSN

1943-6092

Publisher

IEEE

Page range

1-5

Event name

IEEE Symposium on Visual Languages and Human Centric Computing (VL/HCC)

Event location

Dunedin, New Zealand

Event type

conference

Event date

10-14 Aug 2020

ISBN

9781728169019

Department affiliated with

  • Informatics Publications

Notes

© 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2021-09-20

First Open Access (FOA) Date

2021-09-20

First Compliant Deposit (FCD) Date

2021-09-20

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