In this paper we present the results of a study which was carried out in an inquiry-based teaching and learning environment with the use of 'what if not' methodology coupled with the integration of dynamic geometry software. The vast majority of the students reported that they perceived themselves as participants rather than spectators. Most of…

Randomness and distribution are important concepts underpinning the ability to think and reason probabilistically. Traditional approaches to teaching the Poisson distribution focus on mathematical definitions and formulae which obscure the randomness intrinsic in this process. Advances in technology have made it possible for students learning…

Individualization of instruction in a regular classroom is difficult. The paper explores the possibilities of using a mobile touch device and a web tool for time individualization in mathematics instruction. The paper compares the pros and cons of using an electronic and a regular (printed) test to determine students' needs. The results show that…

Searching for loci belongs to classical topics of school curricula at schools of different levels all over the world. In the text investigation of loci by GeoGebra using the command "LocusEquation," the tool which has recently been implemented into GeoGebra and which brings a new approach in searching for loci of points, is given. This…

In this article, the authors present the use of digital tape diagrams--implemented using GeoGebra (2001) dynamic mathematics software--as a support to static diagrams to pose and solve proportional reasoning tasks. They show how dynamic sketches can allow students to explore standard tasks in proportional reasoning in ways that emphasise…

The teaching of Mathematics in the context of the Mathematical Olympiads in Brazil constitutes a context of research still little considered, with particular interest in the teaching and the learning phenomena. In Brazil, we identified a large number of teachers and students who do not participate in official math competitions, such as the…

In this paper we propose STEAM practices that would foster mathematics learning through modelling architecture while connecting to culture and history. The architectural modelling process is applied by the teachers as participants of these practices from different countries allowing a broad cultural and historical connection to mathematics…

The challenges experienced by schools as a result of the COVID-19 pandemic led to numerous changes and forced teachers to rethink the way teachers use technology, both to communicate with students and to support their mathematics learning. To illustrate these changes in curriculum, teaching, and assessment, the author uses the topic of rational…

Personalizing the use of educational mathematics applets to fit learners' characteristics poses a great challenge. The present study adopted a unique approach by comparing personalization processes implemented by a machine to those implemented by a human teacher. Given the different affordances--the machine's access to historical log file data,…

A randomized controlled trial group design study funded by IES NCR Grant R305A090527 was conducted in which 16,307 3rd, 4th, and 5th grade students in 52 school grade-level clusters were randomly assigned to receive ST Math (program revision Gen3), a supplemental mathematics software instructional intervention, or to a business-as-usual…

This article presents a partial excerpt from an ongoing master's research on the methodological theoretical aspects of problems related to the content of volumes, selected from the evaluations of the National High School Exam (ENEM). The Exam consists of a test proposed by the Brazilian federal government, which aims to assess the performance of…

Interactive or Dynamic Geometry System (DGS) is a tool that help to teach and learn geometry using a computer-based interactive environment. Traditionally, the interaction with DGS is based on keyboard and mouse events where the functionalities are accessed using a menu of icons. Nevertheless, recent findings suggest that such a traditional model…

The use of technology is essential in teaching and learning process. Many researchers have already been implemented Dynamic Geometry Software (DGS) in teaching and learning process. Given the importance of DGS, it is necessary for in-service teachers to use the software in their teaching and learning. Hence, it is important to prepare in-service…

Bringing together the research of leading international scholars in the field of digital learning, "Designing Effective Digital Learning Environments" discusses cutting-edge advancements in digital technology and presents an evidence-informed summary of best practices for effective design principles and implementation within educational…

This research aimed to examine the effect of collaboration Think Pair Share (TPS) Leaning Model and m-Learning based on Android on the understanding of trigonometry concepts and to investigate the interaction between collaborative learning and cognitive style on the understanding of trigonometry concepts. This research involved 80 pre-service…