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{ "pk": 26403, "title": "Improving with Practice: A Neural Model of Mathematical Development", "subtitle": null, "abstract": "The ability to improve in speed and accuracy as a result of re-peating some task is an important hallmark of intelligent bio-logical systems. Although gradual behavioural improvementsfrom practice have been modelled in spiking neural networks,few such models have attempted to explain cognitive devel-opment of a task as complex as addition. In this work, wemodel the progression from a counting-based strategy for ad-dition to a recall-based strategy. The model consists of twonetworks working in parallel: a slower basal ganglia loop, anda faster cortical network. The slow network methodically com-putes the count from one digit given another, correspondingto the addition of two digits, while the fast network gradually“memorizes” the output from the slow network. The faster net-work eventually learns how to add the same digits that initiallydrove the behaviour of the slower network. Performance ofthis model is demonstrated by simulating a fully spiking neu-ral network that includes basal ganglia, thalamus and variouscortical areas. Consequently, the model incorporates variousneuroanatomical data, in terms of brain areas used for calcula-tion and makes psychologically testable predictions related tofrequency of rehearsal. Furthermore, the model replicates de-velopmental progression through addition strategies in termsof reaction times and accuracy, and naturally explains observedsymptoms of dyscalculia.", "language": "eng", "license": { "name": "", "short_name": "", "text": null, "url": "" }, "keywords": [ { "word": "neural engineering framework; semantic pointerarchitecture; nengo; cognitive modelling; mathematical abil-ity; dyscalculia; skill consolidation" } ], "section": "Papers", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/1c35v77f", "frozenauthors": [ { "first_name": "Sean", "middle_name": "", "last_name": "Aubin", "name_suffix": "", "institution": "University of Waterloo", "department": "" }, { "first_name": "Aaron", "middle_name": "R.", "last_name": "Voelker", "name_suffix": "", "institution": "University of Waterloo", "department": "" }, { "first_name": "Chris", "middle_name": "", "last_name": "Eliasmith", "name_suffix": "", "institution": "University of Waterloo", "department": "" } ], "date_submitted": null, "date_accepted": null, "date_published": "2016-01-01T18:00:00Z", "render_galley": null, "galleys": [ { "label": "PDF", "type": "pdf", "path": "https://journalpub.escholarship.org/cognitivesciencesociety/article/26403/galley/16039/download/" } ] }