Research fields: applied mathematics and mathematics education
The research on applied mathematics deals with mathematical modeling of processes concerning non-linear dynamic theories for elasticity. That is to construct mathematical models and to choose mathematical methods, analytical as well as numerical, suitable to solve non-linear systems of partial differential equations and integral equations. This was also the essence of my thesis tutored by scientifical supervisor professor Anatoly Alexandrovich Burenin.
The research on applied mathematics also deals with fuzzy methods and their applications in order to formalize a strategy map. The method used in order to find functional relations between the elements in a strategy map is based on Mamdani's fuzzy inference method.
The research on mathematics education deals with how mathematical concepts, structures, models and methods can be transformed and modified in mathematics teaching and how ”preliminary” mathematical concepts, taught in school, can be given such a quality that they without intellectual conflicts can be developed into correct mathematical concepts. The purpose is to offer every student a developable mathematics content adjusted to his or her own level. This is carried out in a co-operation between the two research areas, mathematics and mathematics education. Results from this type of research are presented in articles and reports, at international conferences as well as in a number of books with Wiggo Kilborn as co-author.
I am associate professor in mathematics and PhD in mathematics/applied mathematics, mathematician as well as leg. teacher in primary/special/upper secondary school and adult education.
I am also author of textbooks in mathematics and mathematics education for higher education and compulsory school.