1. The theoretical, cognitive and practical views of learning and teaching geometry, and
2. Investigating the processes of abstract mathematical knowledge construction, (with B. B. Schwarz & T. Dreyfus). The main products of this research are the Abstraction in Context (AiC) theory and the RBC+C methodological-theoretical model for knowledge construction. The trigger to this research interest came from the CompuMath project’s activities of teaching and learning which were evaluated by qualitative and also quantitative methods. Rina wrote about both research domains for the Encyclopedia of Mathematics Education, DOI 10.1007/978-94-007-4978-8, Springer Science + Business Media Dordrecht. (See the Publications in Books – section, numbers: 15 & 20.)
During many years, Rina served as a member of the national committee for the design of the national syllabus for teaching mathematics. Among her international activities she served as a member of the international committee of the PME (Psychology of Mathematic Education) and served a four-year term as its President. Rina is presently an academic advisor in the department.