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Direct linkGiovannina Albano; Samuele Antonini; Annamaria Miranda – International Journal of Research in Undergraduate Mathematics Education, 2024
This paper aims at defining and exploring design principles in a distance technological setting for an educational activity for mathematics undergraduate students, devoted to the construction of basic concepts in general topology, the promotion of problem-solving processes, the development of metacognitive aspects, and, in general, the development…
Descriptors: Cognitive Processes, Mathematical Concepts, Mathematics Education, Topology
Fay, Temple H.; Joubert, Stephan V. – International Journal of Mathematical Education in Science and Technology, 2009
We discuss the boundary in the Poincare phase plane for boundedness of solutions to spring model equations of the form [second derivative of]x + x + epsilonx[superscript 2] = Fcoswt and the [second derivative of]x + x + epsilonx[superscript 3] = Fcoswt and report the results of a systematic numerical investigation on the global stability of…
Descriptors: Equations (Mathematics), Mathematics Instruction, Mathematical Models, Mathematical Concepts
Harris, J.; Lynch, M. – International Journal of Mathematical Education in Science & Technology, 2007
In this note, it is shown that in a symmetric topological space, the pairs of sets separated by the topology determine the topology itself. It is then shown that when the codomain is symmetric, functions which separate only those pairs of sets that are already separated are continuous, generalizing a result found by M. Lynch.
Descriptors: Topology, Geometry, Equations (Mathematics), Mathematical Concepts
