We investigated prospects for reported sustainable adoption and sharing of an educational innovation through survey research including online questionnaires and telephone interviews. This investigation is part of the Scaling-Up SimCalc experimental program, which combines dynamic representational algebra software (SimCalc MathWorlds) with…

In this paper we will describe a learning environment designed to foster conceptual understanding and reasoning in mathematics among younger school children. The learning environment consists of 48 2-player game variants based on a graphical model of arithmetic where the mathematical content is intrinsically interwoven with the game idea. The…

This exploratory case study research describes the integration of Information Communication Technology (ICT) into the teaching and learning of English, mathematics and science in an elementary school in Singapore. The school in this case study research is one of the first primary-level future schools that was set up under the…

This paper describes an action-research experience carried out with second year students at the School of Engineering of the National University of Entre Ríos, Argentina. Vector calculus students played an active role in their own learning process. They were required to present weekly reports, in both oral and written forms, on the topics studied,…

In this culture of instantaneous technology, students are familiar with immediate feedback. To maintain student engagement, it is vital for teachers to create similarly interactive experiences. Student-centered instruction is important in connecting students to key mathematical concepts. If the connection is not obvious, they may be unaware of…

Technology and, in particular, computer algebra systems, allows us to change both the way we teach mathematics and the mathematical curriculum. Curiously enough, unlike what happens with linear system solving, algebraic system solving is not widely known. The aim of this paper is to show that, although the theory lying behind the "exact…

The refraction problem, well-known in calculus and physics, continues to reveal new insights. This paper presents a geometric solution in which the trammel of Archimedes plays the prominent role. When properly configured, the trammel generates an ellipse and its family of normal lines. One normal line in particular intersects the boundary…

The purpose of this study is to demonstrate how virtual manipulatives, designed to provide multimodal interactions, support richer perceptual experiences that promote conceptual learning. To study this phenomenon, a virtual manipulative called, "Puzzle Blocks," was developed by the researcher. "Puzzle Blocks" introduces the…

This paper reports on the different gesture types employed by twenty-three Year 10 students as they endeavoured to explain their understanding of rate of change associated with the functions resulting from two different computer simulations. These gestures also have application to revealing students' understanding of functions. However,…

The face-to-face computer-supported collaborative learning has emerged as an important strategy to elementary students' learning. Few studies have explicitly incorporated the structured peer tutoring to the synchronous environment in mathematics. This study was aimed to explore the effects of the synchronous peer tutoring system on children's…

This paper looks at research based models that have been put forward to describe how teacher use of technology develops. There have been a variety of studies that have proposed levels that describe teacher use of technology and identify the different aspects of use that distinguish these levels. Very few of these studies have shown how teachers…

This study investigated how the use of virtual manipulatives in integer instruction impacts student achievement for integer addition and subtraction. Of particular interest was the influence of using virtual manipulatives on students' ability to create and translate among representations for integer computation. The research employed a…

Over the past few decades there has been a large amount of research dedicated to the teaching of statistics. The impact of this research has started to change course content and structure, in both introductory and advanced courses for statisticians and those from other disciplines. In the light of these changes future directions in the teaching…

This monograph offers an overview of the current research work carried out in Croatia and the surrounding countries, and specifically an interesting insight in teaching and learning issues in these countries. The authors discuss the need of the general population for becoming good problem-solvers in society of today, which is characterised by…

The way that Taylor polynomials approximate functions can be demonstrated by moving the center point while keeping the degree fixed. These animations are particularly nice when the Taylor polynomials do not intersect and form a nested family. We prove a result that shows when this nesting occurs. The animations can be shown in class or…