Experience and Mathematical Knowledge

Skills and mathematical knowledge

1 Institute for Logic, Language and Computation, Universiteit van Amsterdam, Postbus 94242, 1090 GE Amsterdam, The Netherlands 2 Department Mathematik, Universität Hamburg, Bundesstraße 55, 20146 Hamburg, Germany 3 Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany 4 Departement Wijsbegeerte, Universiteit Utrecht, Heidelberglaan 6, ...

Mechanical procedures and mathematical experience

Aspects of Mathematical Experience

notions have been important for the internal development of mathematics and for sophisticated applications in the sciences to organize our experience of the world. It seems to me to be absolutely crucial to gain insight into this dual role -to bring into harmony philosophical reflections on mathematics with those on the sciences.

Problem solving and mathematical knowledge

This report describes the research goals, and intermediate milestones related to an investigation of the relationship between problem solving and mathematical knowledge in an online mathematics community. The proposal is to build a problem-solving layer over the encyclopedia layer that comprises the central feature of the current PlanetMath.org. Research will proceed by examining the activities...

Knowledge Maps and Mathematical Modelling

Abstract: The aim of our paper is to explain a mathematical model as a special case of symbolic knowledge map. Each knowledge mapping is a visualization of knowledge for the purpose of eliciting, sharing and expanding. Tools of such visualization can be of various types. But in reality many types of so-called knowledge maps are only data flow or information flow diagrams. Our paper will define ...