In this paper, I discuss the potential transformations to teach K-12 geometry topics with the technology of 3D Pens, which enabled 3D models to be created instantly via one's moving hands. I draw on an example of using constructionist learning activities with 3D Pens to teach young children, 'how tall is the triangle?'

This paper uses a post-qualitative philosophical perspective to find new ways of understanding teaching and learning. The paper presents a series of examples that were used in a longitudinal study, with the aim of creating variation patterns that would make it possible for students to discern the use of the four basic arithmetic operations in…

In this paper the didactically-methodological procedure named the MTE-model of mathematics teaching (Motivation test-Teaching-Examination test) is suggested and recommended when the teacher has subsequent lessons. This model is presented in detail through the processing of a nonstandard theme--the theme of decomposition of planes. Its efficiency…

Mathematical modeling has gained prominence as a means of improving educational planning. One often-used model is the Markovian Model. It is shown that education, being hierarchical, is amenable to Markov-type analysis. Some consequences of the model and some results of its application in Nigeria are noted. (Author/MP)

Several approaches to the teaching of vectors are discussed, and a particular model is advocated. (SD)

Examines various processes of verbalizing in mathematics teaching. Describes several types of communication between school students and gives some examples for tasks. Interpretations for didactical concepts based on ideas about mathematical modeling, heuristic-experimental working, and also work with sequences of questions in mathematics teaching…

Presents a model of what it means to understand mathematics followed by examples of exercises designed to develop understanding in specific ways. Presumes that understanding is more likely to develop if it is the direct focus of exercises. (AIM)