In this paper, we focus our discussion on the strategy we follow to scaffold high school students to successfully build models of a real-life system. Our aim is for students to gradually achieve a higher level of autonomy and to use and further develop their mathematical knowledge. We present work students did when we asked them to build a model…

Mathematical formulae are information objects that can be entered in a computer, visualized, and evaluated. Thus, by the majority of (mostly occasional) users it is also expected that they are transferable through the simple copy-paste procedure. This transfer is particularly interesting when users are involved in tasks that span different…

This contribution discusses emerging cultural practices of media activities with the example of homework as an out-ofschool learning context. Data was collected using diaries on the use of media during out-of-school learning activities. Central theoretical frameworks include the German theory of Medienbildung as an actor's threefold relation…

Spatial-Temporal Math (ST Math) is game-based, instructional software for K-12 students created by the MIND Research Institute (MIND). ST Math is integrated into classroom instruction, but can also be used in a computer lab or at home. The ST Math software games begin without language and symbol abstractions by posing math programs as purely…

This paper reports on a design-based implementation study of the use of a diagnostic classroom assessment tool framed on learning trajectories (LTs) for middle grades mathematics, where teachers and students are provided immediate data on students' progress along LTs. The study answers the question: "How can one characterize the challenges…

This case study investigates the impact of the integration of information and communications technology (ICT) in mathematics visualization skills and initial teacher education programmes. It reports on the influence GeoGebra dynamic software use has on promoting mathematical learning at secondary school and on its impact on teachers' conceptions…

The author shares the lesson that he used to introduce the quadratic unit to students in an extended second-year algebra class, demonstrate why it was appropriate for his struggling learners, and discuss possible future modifications to this lesson.

GeoGebra is a mathematics software system that can serve as a tool for inquiry-based learning. This paper deals with the application of a fraction comparison software, which is constructed by GeoGebra, for use in a dynamic mathematics environment. The corresponding teaching and learning issues have also been discussed.

As technology becomes more prevalent in the mathematics classroom, teachers will need to be able to effectively evaluate technological tools to use with students. In this study, the authors examined secondary mathematics teachers' evaluation of online dynamic geometry tools. The analysis focused on the teachers' noticing of technology;…

In order to be able to draw accurately and to interpret the drawings properly, the skills of the students' drawing skills and therefore spatial visualization and spatial orientation must be developed. The studies in the literature are mostly concerned with examining the spatial skills of students with various models or investigating the effects of…

This study is part of a larger project exploring students' thinking of Dynamic Measurement (DYME), an approach to area measurement that engages students in dynamic digital experiences of measuring rectangular surfaces through sweeping lengths. The goal of this study was to evaluate the extent to which students could bridge the mathematical…

New changes to the school curriculum by enacting a minimum competency assessment (MCA) with PISA criteria in 2021 have led to confusion over the form of MCA questions among teachers and students due to limited learning resources at schools. This study aimed to produce valid and practical PISA COVID-19 mathematics tasks (PISAComat) potentially…

Digital pedagogical skills are essential for teachers dedicated to the ethical and effective use of digital resourcesin blended learning, artificial learning, teaching, communication, collaboration, evaluation, and problem-solving in the era of digitalization. A variety of competency frameworks have been developed for teachers and learners by…

Complex functions, generally feature some interesting peculiarities, seen as extensions of real functions. The visualization of complex functions properties usually requires the simultaneous visualization of two-dimensional spaces. The multiple Windows of GeoGebra, combined with its ability of algebraic computation with complex numbers, allow the…

We have used "GeoGebra," a dynamic geometry software environment, to explore how Year 4 students understand definitions of angles. Seven students defined angle and then completed several activities adapted for the dynamic environment. Afterward, students again shared their definitions of angles. We found that even a short investigation…