A real context problem for consolidating the similarity

Abstract

Constructing a new mathematical structure depends on conceptual understanding and connection with previous constructs. For the purpose of obtaining a new mathematical structure, the process of constructing a concept is defined as abstraction. The weaknesses of new structures that are generated create need their consolidation and so consolidation has been added as a step of the abstraction process. The purpose of this case study is to examine the solving process of a real context problem for consolidating similarity of triangles. The participants are two mathematics education master students. Consequently, it has been determined that participants have similarity knowledge theoretical but in order to consolidate it, they have to encounter more real context problems.