While GeoGebra applets have been extensively investigated in learning environments, few studies have addressed the interactive GeoGebra applets in an e-book-based learning environment. This study aims to compare the effects of the e-book created with interactive GeoGebra applets on students' learning achievement and motivation. The sample of the…

Most any students can explain the meaning of "a[superscript b]", for "a" [element-of] [set of real numbers] and for "b" [element-of] [set of integers]. And some students may be able to explain the meaning of "(a + bi)[superscript c]," for "a, b" [element-of] [set of real numbers] and for…

Recently, a new source of data with great potential for use in the mathematics classroom has become available. The smartphones in our pockets are packed with sensors. Most phones have at a minimum global positioning, accelerometer, magnetometer, and gyroscope sensors. We give an example of the collection and analysis of global positioning sensor…

Teachers are increasingly incorporating new learning materials into their classes: mobile apps, VR, and other results of humanity's digital development. The aim of the study was to compare the impact of the traditional approach to teaching mathematics and the use of MalMath application on the academic performance of students in terms of conceptual…

The use of smartphones is increasingly gaining popularity in education. Students and teachers can determine scientific concepts using smartphones equipped with sensors such as Global Positioning System (GPS -- a navigation system that provides location information) and orientation (a device to measure coordinates according to a reference frame).…

After a discussion about the possibilities and status of augmented reality in education, a good practice example of an augmented reality application is presented. This case study examines the use of an augmented reality app in higher education to support abstract STEM content, such as vectors. Based on this example, the implementation of such apps…

Playing board games is known to improve pre-school student numeracy and many board games are used to motivate and explore concepts in probability. This study investigates whether college students in liberal arts mathematics courses assigned to play the board game "Settlers of Catan" develop a stronger grasp of basic probability concepts…

Following a line of inquiry regarding the exact number of real roots of a real polynomial, this investigation considers: Descartes' Rule of Signs, the Budan-Fourier Theorem, and versions of Sturm's Method in contrast with the approximate root count gleaned from graphing utilities. Online applets are provided to allow the reader to freely…

It is increasingly important for mathematics students to engage in active learning along with discussion of material with their peers. "Slopes" is a mobile application designed to visualize solutions to differential equations and support active learning in the classroom. We implemented group activities using "Slopes" into an…

In this article we discuss our attempt to incorporate research-informed learning and teaching activities into a final year undergraduate Statistics course. We make use of the Shiny web-based application framework for R to develop "Shiny apps" designed to help facilitate student interaction with methods from recently published papers in…

Mobile devices are characterized by attractive advantages, and provide broad benefits in the university students' math teaching. Our study proposes integrating the Mobile Applications in teaching geometry. Findings of the researches showed that students face difficulties in learning geometry. The material and virtual maneuvers may assist the…

The goal of this study is to analyze undergraduate elementary school pre-service teachers' conceptions and misconceptions of physical and virtual manipulative materials using an interpretive "framework." The "framework" involved the use of the "Concrete," "Pictorial" and "Abstract cognitive levels"…

This case study investigates the impact of the integration of information and communications technology (ICT) in mathematics visualization skills and initial teacher education programmes. It reports on the influence GeoGebra dynamic software use has on promoting mathematical learning at secondary school and on its impact on teachers' conceptions…

In this paper, we report on a case study that focused on innovative uses of CAS technology in university mathematics teaching and assessment. The study involved a site visit to the University of Alberta campus (June 2015) during which: interviews were conducted with five mathematics faculty members and seven mathematics students; math lectures…

The trends of teaching mathematical thinking and the existence of two thinking skills (critical dan creative thinking) the required by 21st century skills have created needs for teachers to know their students' thinking processes. This study is intended to portray how mathematics teachers expect their students showing their thinking processes in…