Bootstrapping mental constructions: A learning system about negative numbers

Baruch B. Schwarz, Amy S. Kohn, Lauren B. Resnick

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In this paper, we propose a new model for learning mathematical concepts which cannot develop informally. This is a “middle-out“ approach in which the objects of the system can be mapped both to formal knowledge and to real-life problems. We hypothesize that the key process which governs the acquisition of knowledge within such learning systems is reasoning with mental models, which we hold to be similar to the acquisition of basic mathematical constructs in non-school settings. The paper reports the development of a system for learning negative numbers and a study in which two pairs of students were exposed to that system.

Original languageEnglish
Title of host publicationIntelligent Tutoring Systems - 2nd International Conference, ITS 1992, Proceedings
EditorsClaude Frasson, Gilles Gauthier, Gordon I. McCalla
PublisherSpringer Verlag
Pages286-293
Number of pages8
ISBN (Print)9783540556060
DOIs
StatePublished - 1992
Externally publishedYes
Event2nd International Conference on Intelligent Tutoring Systems, ITS 1992 - Montreal, Canada
Duration: 10 Jun 199212 Jun 1992

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume608 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference2nd International Conference on Intelligent Tutoring Systems, ITS 1992
Country/TerritoryCanada
CityMontreal
Period10/06/9212/06/92

Bibliographical note

Publisher Copyright:
© 1992, Springer Verlag. All rights reserved.

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