This paper presents research into closed orbits parallel to quadrilaterals inscribed in various geometric shapes that can be represented by mathematical functions: straight lines, circles, ellipses, parabolas, and hyperbolas. Mathematical proofs have been given for the existence of an infinite number of parallel orbits for each of these shapes.…

When technologies like GeoGebra are implemented in mathematics lessons, the focus should be on learners and their learning processes rather than on technologies. Student-centeredness is a core characteristic of flipped classroom approaches. Recent further developments of flipped classroom approaches aim to foster learning through inquiry in…

The purpose of this research is to examine the views of middle school mathematics teachers about the usability of VUstat and TinkerPlots software in data processing learning in the Curriculum of Mathematics Teaching in Middle School (5th, 6th, 7th and 8th grades). In the study, the phenomenology design from qualitative research patterns was…

In the study reported on here, we investigated the effects of the use of dynamic geometry software (DGS) (i.e., GeoGebra) on learners' learning and a teacher's beliefs. The learners and teacher involved in the study were from a high-poverty, rural high school in South Africa. We compared grade 11 learners (N = 56) who used GeoGebra in the context…

The EnCoMPASS project (Emerging Communities for Mathematical Practices and Assessment) at the Math Forum and Drexel University has produced a web-based software tool for the assessment of student work. This paper discusses research on the impact of the tool on teachers' attitudes toward work with students in the software environment. The tool…

As interactive whiteboards have been used recently in secondary schools for sustainability, this study on use of interactive whiteboards is considered to be very important in terms of knowing the effects of interactive whiteboards on mathematics lessons, determining the perspectives of teachers as users of the system and increasing the efficiency…

Solving systems of equations at school, at least in Argentina, is usually a task that students are given as a series of techniques that "allow" them to find a solution. How to overcome educational obstacles that are generated from a fragmented approach of knowledge? What can DGS do, in particular the CAS environment? What epistemic and…

There are many available technologies that can assist future teachers to deliver instruction. The purpose of this paper is to provide a brief review of literature identifying available technology tools in mathematics education and which technologies are selected by PSTs to design mathematics lesson activities. The most commonly used and available…

Even though dynamic geometry software (DGS) is becoming an emergent instructional tool for mathematics teachers, many teachers are still in the process of consideration about whether to use it. In order to encourage teachers to use DGS, this study seeks to discover mathematics teachers' salient beliefs about the use of DGS in mathematics class.…

Given the importance of teacher in the implementation of computer technology in classrooms, the technology acceptance model and TPACK model were used to better understand the decision-making process teachers use in determining how, when, and where computer software is used in mathematics classrooms. Thirty-four (34) teachers implementing…

This paper explores how four good teachers, who do not have a special interest in technology, meet the challenge of introducing the rapidly developing mathematics analysis software (e.g. spreadsheets, function graphers, symbolic algebra manipulation and dynamic geometry) into their classrooms. These teachers' practice is viewed through the…

A teacher's belief plays a significant role in the quality of teaching mathematics. In a fictive way, the researcher changed his role from a researcher to a research participant in an imaginative interview. His interior other (David) interviewed him as a researcher. A single interview session was held lasting for about three hours. The…

This study focuses on mathematics teachers' professional development through elements of Japanese lesson study. The teachers designed a research lesson with regard to sense-making of the derivative using the integration of GeoGebra. In the second year of the four-year lesson study project, seven secondary school teachers--from different Dutch…

This study examines the effect of three different computer integration models on pre-service mathematics teachers' beliefs about using computers in mathematics education. Participants included 104 pre-service mathematics teachers (36 second-year students in the Computer Oriented Model group, 35 fourth-year students in the Integrated Model (IM)…

The article contains general information about the use of specialized mathematics software in the preparation of math teachers. The authors indicate the reasons to study the mathematics software. In particular, they analyze the possibility of presenting basic mathematical courses using mathematical computer tools from both a teacher and a student,…