00-main.pdf (216.47 kB)
Correspondence-based analogies for choosing problem representations
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 SarkarMathematics 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/HCCISSN
1943-6092Publisher
IEEEExternal DOI
Page range
1-5Event name
IEEE Symposium on Visual Languages and Human Centric Computing (VL/HCC)Event location
Dunedin, New ZealandEvent type
conferenceEvent date
10-14 Aug 2020ISBN
9781728169019Department 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 worksFull text available
- Yes
Peer reviewed?
- Yes