Feeling of innovation in expert problem posing
Igor’ Kontorovich and Boris Koichu
This paper is one of the reports on a multiple-case study concerned with the intertwining between affect and cognition in the mechanisms governing experts when posing new mathematical problems. Based on inductive analysis of a single case of an expert poser for mathematics competitions, we suggest that the desire to experience the feeling of innovation may be one of such mechanisms. In the case of interest, the feeling was realized through expert’s reflections on the problems he created in the past, by systematically emphasizing how a new problem was innovative in comparison with other familiar problems based on the same nesting idea. The findings are discussed in light of past research on expert problem posers and expert problem solvers.
Igor’ Kontorovich is a mathematics educator and a researcher, who has recently (in 2013) completed his Ph.D. studies at the Department of Education in Science and Technology at the Technion - Israel Institute of Technology. Assistant Professor Boris Koichu was his academic adviser. The Ph.D. research, of which this paper is a part, is concerned with mental mechanisms involved in expert problem posing.
Boris Koichu is an Assistant Professor at the Department of Education in Science and Technology at the Technion – Israel Institute of Technology. His research domain is mathematical problem solving and problem posing, with special attention to learning and teaching mathematics at secondary school and university. Some of his work concerns a question of how insights on problem solving and problem posing by the gifted and experts can be implemented in promoting regular students and in mathematics teacher education.