This paper is concerned with the topic of interactive teaching and learning in the primary mathematical education. The objective is to determine and empirically evaluate the method of increasing the efficiency of such teaching and learning. The theoretical basis for the development of the method consists of a suitable array of research. The quality of the method was statistically confirmed through empirical research which involved working with uniformed groups of second to fourth grade primary school pupils. The method used in this article was tested on a local pupils’ population.
In this paper, the authors attempt to make the analysis of unacceptable and missed student
responses when calculating a limit of functions. Based on the collected data and derived conclusions,
relying on APOS theory and the SOLO taxonomy, we estimate that the concept of limit values and
processes with that concept (but not procedurally using this concept) for the majority of the student
population is acceptable with considerable difficulty. А reconstruction is offered of student‟s mental
images using categorical terms RBC + C theory of abstraction and Sfard‟s theoretical model for the
learning of mathematical concepts.
This paper shows how by integrating technology with problem-posing activities prospective teachers of mathematics can learn new ways of creating curriculum materials that address several pedagogical issues associated with the advent of modern digital tools
into the classroom. The paper describes and analyses problems posed by the teachers for different populations of students under the umbrella of two interrelated notions: the didactical coherence of a problem and the technology-immune/technology-enabled problem. Digital tools discussed in the paper include an electronic spreadsheet, Wolfram Alpha, and Maple. It is shown that the tools cannot be directly utilized for posing
mathematical problems and that such utilization requires one‟s appreciation of their hidden educational capabilities and awareness of instructional pitfalls.
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