Pedagogical scaffolding offers temporary support as English Learners engage with challenging math. We identify three dimensions--grouping, structure, and language--along which teachers can vary the intensity of scaffolding with the same rigorous prompt to challenge and support their English Learners. [This paper was published in "Mathematics…

We implemented GeoGebra software in Rwandan secondary schools to check its effectiveness during teaching and learning geometry concepts. The quasi-experimental design was used, and four schools were purposefully selected. Two schools were from Northern Province, while the other two were selected from Kigali city. A geometry-based test composed of…

A theoretical-didactic proposal based on variational ideas and the use of GeoGebra is described as a response to a local problem on the understanding of the concept of function and quadratic equation in pre-university students. The theoretical elements of this work are based on the understanding of concepts and the theory of semiotic registers and…

We report on the results of a professional development programme involving four Hungarian teachers of mathematics. The programme aims to support teachers in integrating problem solving into their classes. The basic principle of the programme, as well as its novelty (at least compared to Hungarian practice), is that the development takes place in…

Background: Continuous advances in mobile and multimedia technologies have increased interest in the use of e-books in educational settings. Objectives: The current study investigated how the e-book technology and different types of feedback influenced the learning, motivation, and cognitive load of students within the differentiation unit of…

Starting from the elementary school years, geometric reflection has potential for students to improve their understanding of plane geometry. Although it gives them opportunities to investigate the motion view of the transformed figures and mapping of all points in the plane onto itself, the instructional tasks and teaching practices generally…

We investigated how two didactical tools assist high school students in constructing knowledge about convergence and limits. The first tool is manual plotting of the terms of selected sequences, and the second, a technological applet. Student pairs worked in an interview setting on an activity designed for the purpose of this research. The…

For teachers to provide students with meaningful instruction in area measurement, teachers need robust understandings of area. Here, I describe two cycles of a "lesson experiment" used to investigate prospective teachers' understandings of area units in an undergraduate mathematics class. For each cycle, I collected and analyzed the…

School readiness is a dominant discourse in current policy agendas in UK and international contexts, fulfilling a range of goals such as providing children with the 'best start in life' by breaking the cycle of poverty, and preparing children for formal learning in compulsory education. Focussing on the school readiness agenda in England, this…

This study aimed to examine the collective mathematical creativity of gifted middle school students within a group through model-eliciting activities. The current study employed the case study design. The participating four gifted students were selected through the purposive sampling technique. To examine the collective creativity of the students…

The objective of this article is to determine which are the international standards and norms of usability that are used in educational technology applied to the teaching of mathematics at secondary and higher education levels, focused on two scenarios: (1) digital educational resources and virtual learning environments (VLEs), and (2) game-based…

Background: Functional thinking is characterized as a specific way of thinking in relationships, dependencies, and changes. Hence, beyond mathematics, it is also crucial for other (STEM) disciplines as well as for everyday situations. In particular, dealing with different representations of functions and changing between them are core…

In Australian universities, mathematics is often an essential core subject for disciplines such as engineering, information technology and science. These first-year mathematics subjects may have large enrolments of which a significant number fail the subject and repeat. While interventions to retain students are common, those who have failed…

In this paper, we report an enquiry into elementary preservice teachers' learning, as they engage in doing mathematics for themselves. As a group of researchers working in elementary Initial Teacher Education in English universities, we co-planned and taught sessions on growing pattern generalisation. Following the sessions, interviews of fifteen…

Teachers are encouraged to connect mathematic instruction to the real-world by posing tasks that are situated in rich, relevant contexts, but research has found that many teachers integrate contextual problems (CPs) as motivators rather than as supports for conceptual development. To provide insight into how teachers' conceptions about CPs shift…