The paper introduces the notion of collateral creativity as an unintended outcome of the appropriate use of technology, both physical and digital, in the teaching of mathematics. The notion is motivated by Dewey's conceptual framework of collateral learning which enables one gaining knowledge beyond the intent of the traditional curriculum.…

We conducted a scoping review on game-based learning (GBL) for mathematics teacher education. In recent decades, GBL has been largely applied to K-12 education contexts. GBL has aimed to promote students' deeper understanding of mathematics knowledge via game-based activities. With the evolving needs of GBL in mathematics education, recent…

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?'

Analyzes three stories in order to sensitize for possible characteristics of interrelations between mathematics, technology, science, culture, and society. Demonstrates how specific socio-cultural conditions affect the development of mathematics and technology as well as their use. Discusses the use of mathematics and ways in which mathematics,…

Describes how to construct simple numerical examples in two-way ANOVAs, specifically randomized blocks, balanced two-way layouts, and Latin squares. Indicates that working through simple numerical problems is helpful to students meeting a technique for the first time and should be followed by computer-based analysis of larger, real datasets when…

Argues that basic components of discrete mathematics can be introduced to students through gradual elaboration of experiences with iconic spreadsheet-based simulations of concrete materials. Suggests that the study of homogeneous and heterogeneous patterns of manipulative spreadsheet templates allows for appreciation of the development of…