Overview and Basic Mathematical Concepts

Jean-Claude Falmagne () and Jean-Paul Doignon ()
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Jean-Claude Falmagne: University of California, Irvine, Department of Cognitive Sciences, Institute of Mathematical Behavioral Sciences
Jean-Paul Doignon: Université Libre de Bruxelles, Département de Mathématique

Chapter 1 in Learning Spaces, 2011, pp 1-21 from Springer

Abstract: Abstract A student is facing a teacher, who is probing his1 knowledge of high school mathematics. The student, a new recruit, is freshly arrived from a foreign country, and important questions must be answered. To which grade should the student be assigned? What are his strengths and weaknesses? Should the student take a remedial course in some subject? Which topics is he ready to learn? The teacher will ask a question and listen to the student’s response. Other questions will then be asked. After a few questions, a picture of the student’s state of knowledge will emerge, which will become increasingly sharper in the course of the examination.

Keywords: Partial Order; Knowledge Structure; Transitive Closure; Knowledge State; Hasse Diagram (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-01039-2_1

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DOI: 10.1007/978-3-642-01039-2_1

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