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…

The EduLab model is a "new" educational model that integrates technologies in educational contexts comprising full equipped classrooms with attractive and easy-to-use technological resources. This model tries to promote a dynamic and more effective teaching and learning process. For this purpose, the model provides teachers training and…

Mathematics teachers continually look for ways to make the learning of mathematics more active and engaging. Hands-on activities, in particular, have been demonstrated to improve student engagement and understanding in mathematics classes. Likewise, many scholars have emphasized the growing importance of giving students experience with the…

This paper analyses introductory statistics students' verbal and gestural expressions as they interacted with a dynamic sketch (DS) designed using "Sketchpad" software. The DS involved numeric data points built on the number line whose values changed as the points were dragged along the number line. The study is framed on aggregate…

This paper describes findings from a blocked randomized design (BRD) field study conducted to examine the "Next Generation Preschool Math" (NGPM) program's implementation in preschool classrooms and promise in improving young children's mathematic learning. NGPM integrates traditional preschool activities with developmentally appropriate…

Across three papers I study how differences in the quality and quantity of classroom instruction contribute to differences in what students learn in school. The first two papers focus on teachers--specifically what gives rise to differences between teachers in student learning. The third paper focuses on the quantity of instruction time students…

This paper presents a small group computing environment in which four students each control a different point in a geometric space, such that as a group they collectively manipulate the vertices of a quadrilateral. Prior research has revealed that students have considerable difficulty in learning about the interrelationships among quadrilaterals…

This paper examines experimental and algorithmic contributions of advanced calculators (graphing and computer algebra system, CAS) in teaching the concept of "diagonalization," one of the key topics in Linear Algebra courses taught at the undergraduate level. Specifically, the proposed hypothesis of this study is to assess the effective…

Using Mathematical Modelling has become a useful tool in teaching-learning mathematics at all levels. This is so because mathematical objects are seen from their very applications, giving them meaning from the beginning. In this paper we present some details on the development of a teacher's training course called Modelling in the Teaching of…

Communications studies and psychology offer analytical and methodological tools that when combined have the potential to bring novel perspectives on human interaction with technologies. In this study of children using simple and complex mathematics applications on tablet computers, cognitive load theory is used to answer the question: how…

The study was conducted to examine the views on the use of computers in mathematics courses teachers in multi grade schools. The case study method of qualitative research design was used in this study. 10 teachers in the Bayburt in Turkey participated in the study. Conducted interviews with teachers participating in the study and the observations…

Community colleges are tasked with helping all students regardless of their academic background to receive a degree, certificate, or other form of education. Many of these students need support in learning the mathematical content necessary to take college-level courses. Since a large proportion of students in these developmental classes are…

Providing instruction on spatial geometry, specifically how to calculate the surface areas of composite solids, challenges many elementary school teachers. Determining the surface areas of composite solids involves complex calculations and advanced spatial concepts. The goals of this study were to build on students' learning processes for…

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.…

The complementary use of the theories of instrumental genesis and shifts of attention enabled me to obtain insights into students' understandings of the concepts of eigenvector and eigenvalue. My analysis suggests that the use of different dragging modalities can provide evidence of shifts in structure of a student's attention and consequently can…