Argumentative and proving skills are considered key competencies in mathematics. Collaborative learning activities, by fostering students' production of conjectures and arguments, could contribute strongly to the development of these skills. In this paper, we present the design of a e-learning collaborative environment, whose goal is to promote in…

Interdisciplinary teaching in STEM is often seen as a collaboration of different subjects teaching a common theme. This view undermines successful interdisciplinary approaches that can be deployed in a single class. Two examples of interdisciplinary math lessons, using pie charts and bar charts respectively, will be used to demonstrate how this…

One of the key abilities that every student should learn is mastering math skills. It is particularly difficult for blind students who have problems with access to information that is usually presented graphically for common pupils. One of such information in the case of mathematics is the presentation of graphs of functions and geometric shapes.…

The paper reflects on an earlier research on the use of technology in secondary mathematics teacher education through the lenses of newer digital tools (Wolfram Alpha, Maple), most recent standards for teaching mathematics, and recommendations for the preparation of schoolteachers. New ideas of technology integration into mathematics education…

The increase in availability of educational technologies over the past few decades has not only led to new practice in teaching mathematics but also to new perspectives in research, methodologies, and theoretical frameworks within mathematics education. Hence, the amalgamation of theoretical and pragmatic considerations in digital tool design…

Large foundational courses delivered in lecture halls are disadvantaged in eliciting participation from all students and maintaining engagement throughout the class session. We introduced a question-driven method facilitated by an audience response system, namely TopHat™, that allows the instructor to engage students in solving Calculus problems…

This article provides tools and rationale for instructors in math and science to make their assessment and curriculum materials (more) readable for students. The tools discussed (MSWord, LexTutor, Coh-Metrix TEA) are readily available linguistic analysis applications that are grounded in current linguistic theory, but present output that can…

Teaching undergraduates the basic properties of an estimator can be difficult. Most definitions are easy enough to comprehend, but difficulties often lie in gaining a "good feel" for these properties and why one property might be more desired as compared to another property. Simulations which involve visualization of these properties can…

This paper explores the use of blogs, a simple application of Web 2.0 technologies, in middle school geometry instruction. Specifically, it provides an overview of the interactive features of Web 2.0 technologies and the feasibility of using Web 2.0 technologies in geometry teaching and learning, as well as a proposed model for creating a…

The purpose of our modeling effort is to predict future outcomes. We assume the data collected are both accurate and relatively precise. For our oscillating data, we examined several mathematical modeling forms for predictions. We also examined both ignoring the oscillations as an important feature and including the oscillations as an important…

Manipulatives have been used in many mathematics classrooms across many age groups with the aim of helping students to understand abstract concepts through concrete, kinesthetic, and visual experiences. In this paper, after we provide a background for the use of physical and virtual manipulatives in teaching and learning of mathematics, we will…

This paper explores the use of spreadsheets to develop an exploratory environment where mathematics students can develop their own understanding of the parameters of commonly encountered families of functions: linear, logarithmic, exponential and power. The key to this understanding involves opening up the definition of rate of change from the…

The projects Xmath (Bringslid and Canessa, 2002) and dMath (Bringslid, de la Villa and Rodriguez, 2007) were supported by the European Commission in the so called Minerva Action (Xmath) and The Leonardo da Vinci programme (dMath). The Xmath eBook (Bringslid, 2006) includes algorithms into a wide range of undergraduate mathematical issues embedded…

Inequalities are considered among the most useful tools of investigation in pure and applied mathematics; yet their didactical aspects have not received much attention in mathematics education research until recently. An important aspect of teaching problem solving at the secondary level deals with the notion of equivalence of algebraic…

This paper was developed with the goal of enhancing the mathematical preparation of secondary school teachers in the technological paradigm. It shows how two-variable inequalities can be utilized as models for the construction of geometric objects using the software Graphing Calculator 3.5 (produced by Pacific Tech) as a relation grapher. An…