In this article, the author presents a short teaching sequence to show how to introduce young students in grades 3 (ages 8-9) and 4 (ages 9-10) to using digital tools for exploring larger and multivariate data sets. The teacher guided the young students from creating bar graphs in small data sets on embodied cognition and enactive levels to…

In this article, the authors share activities designed to help students make a connection between the complex roots of X[superscript 2] - 2x + 5 = 0 and the graph of y = X[superscript 2] - 2x + 5. We piloted these activities in three precalculus classes. The activities involved both concrete and technological representations of the mathematical…

Merging the content of learning with the motivation of games can be a successful combination, if done properly and supported by the appropriate tool. Towards this goal, we developed Diagram[character omitted]atic an environment used to gamify the in-classroom activity of designing diagrams during a lecture. Using Diagram[character omitted]atic the…

Free\Libre Open Source Software (FLOSS) environments are increasingly dubbed as learning environments where practical software engineering skills can be acquired. Numerous studies have extensively investigated how knowledge is acquired in these environments through a collaborative learning model that define a learning process. Such a learning…

The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

Since the dawn of civilization, pictorial representations and symbols have been used to communicate simple statistics. Efficient and effective, they are still used today in the form of pictures and graphs to record and present data. Who can tie their shoes? How many calories are in your favorite food? Make data and graphs relevant and interesting…

Experiences in collecting and handling data are described. Activities dealing with measures of central tendency (including a computer program), measures of dispersion, an introduction to correlation, and use of graphs to display data are illustrated. (MNS)

A function-graphing program is given, plus a series of experiments that students can carry out using the program. (MNS)

Four activities are outlined that give students the opportunity to organize and display data. Selecting topics and various ways of displaying data with a microcomputer are discussed. (MNS)

The problem of controlling the grizzly bear population at Yellowstone is described. The results are presented in graphical form and discussed. A computer program is included. (MNS)

Eleven experiments are presented, extending ideas for graphing functions presented in two previous articles. Computer program listings are included. (MNS)

Stressed is a conceptual approach to absolute value, based on the visualization of the graphs of absolute-value equations. An important by-product is predicting a graph on the basis of certain constraints. Four worksheets plus teacher comments are included. (MNS)

Offers information on a project to improve students' understanding of derivatives. Students use the software package "Cactusplot" which allows them to calculate the slope at various points, and "Graphical Analysis III" software to graph the data and modify the graphs if necessary. (ASK)

Activities for investigating how the value of a variable in an equation affects the direction and shape of the graph are given. A computer program and three worksheets are included. (MNS)

LogoWriter provides the means through which students of varying backgrounds and abilities can experience different types of learning. It involves using problem solving, graphing, critical thinking, and other creative strategies. The lessons provided in this book contain ideas that allow beginners to explore various areas of Logo while using…