Mathematical modeling is also physics—interdisciplinary teaching between mathematics and physics in Danish upper secondary education

Mathematical modeling is also physics—interdisciplinary teaching between mathematics and physics in Danish upper secondary education

Mathematics plays a crucial role in physics. This role is brought about predominantly through the building, employment, and assessment of mathematical models, and teachers and educators should capture this relationship in the classroom in an effort to improve students’ achievement and attitude in both physics and mathematics. But although there are overwhelming amounts of literature on modeling...

Experimental Mathematics and Mathematical Physics

One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimension...

Between Childhood and Mathematics: Word Problems in Mathematical Education

Mathematical modelling in mathematics education and instruction

This paper aims at giving a concise survey of the present state-of-the-art of mathematical modelling in mathematics education and instruction. It will consist of four parts. In part 1, some basic concepts relevant to the topic will be clarified and, in particular, mathematical modelling will be defined in a broad, comprehensive sense. Part 2 will review arguments for the inclusion of modelling ...

Mathematical Modeling / Computational Mathematics

My research is focused on mathematical modeling in the interdisciplinary areas of materials science and crystal growth and on development of advanced computational methods for tracking material/fluid surfaces and interfaces. Primarily, I am interested in modeling formation of a micro(nano)structure arrays as a result of the morphological (shape) instabilities of a solid film surfaces, material ...