Several decades of research and development have produced a rich ecology of technologies designed to support active, collaborative constructionist pedagogical practices. Nevertheless, many teachers are reluctant to use these technologies in their teaching or fail to devise learning designs which leverage their qualities. We argue that this tension…

This article aims to examine the impact of an online learning environment enriched with computer activities on geometry achievement and geometric habits of mind (GHoM). The study includes reflections from an online application of a one-term computer-aided mathematics teaching course in which the participants were preservice teachers (PTs) enrolled…

This paper discusses a model for structuring resources for automatic assessment in scientific education by means of textual descriptions. This study aims to support instructors in extending teaching strategies and expanding formative assessment in virtual communities of practice. The strategy to achieve these goals involves the implementation of a…

Teachers are challenged to create flexible learning environments that prepare students with diverse learning needs for adaptable thinking in a fast-paced and changing society. To address this need, we used a design-based research approach to develop a technology-based solution to individualize mathematical problem solving instruction to students…

Purpose: In the process of the implementation of the eBologna program and the recent change of the university system, curricula at German universities have been redesigned; courses have been condensed and learning content has been re-structured into modules, each of which requires an evaluation. Simultaneously, skills required for working in…

This paper proposes modelling based learning as a tool for learning and teaching mathematics. The example of modelling real world problems leading to the exponential function as the solution of differential equations is described, as well as the observations about students' activities during the process. The students were acquainted with the…

This case study examined the educational software evaluation processes of pre-service teachers who attended either expertise-based training (XBT) or traditional training in conjunction with a Software-Evaluation checklist. Forty-three mathematics teacher candidates and three experts participated in the study. All participants evaluated educational…

There has been a recent call for the use of more systematic thought experiments when investigating learning. This paper presents a storyboarding method for capturing and sharing initial ideas and their evolution in the design of a mathematics learning task. The storyboards produced can be considered as "virtual data" created by thought experiments…

Many epistemic activities, such as spatial reasoning, sense-making, problem solving, and learning, are information-based. In the context of epistemic activities involving mathematical information, learners often use interactive 3D mathematical visualizations (MVs). However, performing such activities is not always easy. Although it is generally…

This paper shows the basic concept of Functional Modelling in mathematics education which has become more and more important in recent years. Hence it is necessary to think about suitable graphical methods to explain the fundamental idea of a function and its influence on values and other functions. PROGRAPH diagrams are a potentially good way to…

This project was designed to test Mayer's multimedia theory in an elementary school to improve students' mathematics learning for low-income children. The study designed and developed two multimedia mathematics experiments in 3rd grade: 9's multiplication experiment and geometric solids experiment. The two experimental lessons were implemented in…

This paper introduces the "IJCML" Special Issue dedicated to digital technologies and mathematics education and, in particular, to the work performed by the European Research Team TELMA (Technology Enhanced Learning in Mathematics). TELMA was one of the initiatives of the Kaleidoscope Network of Excellence established by the European…

The purpose of this study was to determine the relationship between using computer-assisted instruction (CAI) size and success on the Texas Assessment of Knowledge and Skills (TAKS) mathematics exam with fifth-grade students in Texas compared to the effect of alternative improvement approaches used by a control group. Research explored the use of…

This paper presents the methodology developed within TELMA for connecting and integrating the theoretical frames used by the different teams for studying the design and use of interactive learning environments in mathematics education. Two case studies are then analysed and compared in order to illustrate the methodology and the results it can…

We conducted research within a program serving future mathematics and science teachers. Groups of teachers worked primarily online in an asynchronous discussion environment on a 6-week task in which they applied learning-science ideas acquired from an educational psychology course to design interdisciplinary instructional units. We employed an…