The article presents some notes on normalization and illustrates these procedures using graphing functions in R. Using real data, the paper also presents an R package and online Shiny app that efficiently transforms variables in large datasets.

This article integrated inquiry behaviors and a guided learning map (gMap) into a mobile app called Ubiquitous-Physics (U-Physics), which helps students to explore inclined plane phenomena in authentic contexts. The article investigated inquiry behaviors such as interpreting graphs, applying formulas, drawing conclusions, and peer collaboration,…

There is concern about mathematics success and its related pedagogy. Society has seen rapid changes in the economy and technology with a call for these changes to be reflected within the classroom. New methods of teaching mathematics are being sought with the purpose to improve teaching and learning while making mathematics relatable to the new…

In this study, we designed and developed an app called Ubiquitous-Physics (U-Physics) for mobile devices like tablet PC or smart phones to help students learn the principles behind a simple pendulum in Physics. The unique characteristic of U-Physics is the use of sensors on mobile devices to collect acceleration and velocity data during pendulum…

This paper reports findings of an explorative study that examine the effectiveness of a GeoGebra-based dynamic applet in supporting students' construction of the formal definition of the limit of a sequence or convergence. More specifically, it is about how the use of the applet enables students to make connections between the graphical…

This article draws on extensive experience working with secondary and tertiary teachers and educators using an applet to display rational polynomials (up to degree 7 in numerator and denominator), as support for the challenge to deduce as much as possible about the graph from the graphs of the numerator and the denominator. Pedagogical and design…

When dissolving copper in nitric acid, copper(II) ions produce a blue-colored solution. It is possible to determine the concentration of copper(II) ions, focusing on the hue of the color, using a smartphone camera. A free app can be used to measure the hue of the solution, and with the help of standard copper(II) solutions, one can graph a…

In this article, I introduce a novel applet ("module") for exploring probability distributions, their samples, and various related statistical concepts. The module is primarily designed to be used by the instructor in the introductory course, but it can be used far beyond it as well. It is a free, cross-platform, stand-alone interactive…

An iPad® can be used to teach students to graph parabolas with ease and grasp vocabulary quickly. Parabolas come to life for students in this easily implemented activity described in this article. Teachers can use this tool in a fun and interactive way to not only address these graphing and vocabulary concepts but also introduce and explore…

Presents a programing subroutine which will create a graphical plot that occupies any number of columns specified by user and will run with versions of BASIC programming language. Illustrations of the subroutine's ability to operate successfully for three possibilities (negative values, positive values, and both positive and negative values) are…

This reprint of a Project Solo curriculum module discusses graphing by computer, gives an example of a BASIC program used to graph a second degree polynomial, and provides suggested exercises in programing. (MK)

Argues that technology influences mathematics education by enabling students and teachers to discover and demonstrate generalizations and properties that were unthinkable a few years ago. Focuses on one example related to a paradox involving parabolas. (DDR)

Describes an introductory course on data, statistics, and probability given to first-year electronic engineering students at the University of Hull (United Kingdom); it is taught via workshops using spreadsheets. The four components are data and graphs, random data and statistics, probability distributions, and probability and events. (AEF)

An intuitive approach to exponential functions is described. Microcomputers are used to aid discovery of derivatives. (MNS)

A programing approach is described, using numerical methods to draw implicit functions, without solving the relationships explicitly. Several examples are discussed, with programs and printouts included. (MNS)