Real world, mathematics-based educational activities provide context for learning and break down barriers to learning in mathematics and science. SpaceMath@NASA (hereafter SpaceMath) provides teachers with real-world math activities in a space context in support of standards, by using current NASA discoveries as a starting point for motivating…

Online math videos for student learning are abundant; yet they are surprisingly uniform in their monologic, expository mode of presentation and their emphasis on procedural skill. In response, we created an alternative model of online math videos that feature the unscripted dialogue of secondary school students, who convey sources of confusion and…

Functional near-infrared spectroscopy (fNIRS) is an easy to use neuroimaging technique that is portable and maintains a liberal tolerance to movement. As such, fNIRS represents an ideal tool to observe children's neural activity as they engage in real-world classroom activities, such as the interaction with digital math apps on an iPad. Here, we…

This study explores the role of geospatial education in P20 classrooms; offers creative strategies and possibilities for integrating mobile technologies such as Global Positioning System (GPS) into the curriculum; promotes global competences and media literacy education among youth; and GPS and SIS technologies with limited resources; global…

In this paper, we propose the mathematical cognitive technology noticing framework for examining how mathematics teachers evaluate, select, and modify mathematical cognitive technology to use in their classrooms. Our framework is based on studies of professional and curricular noticing and data collected in a study that explored how secondary…

This paper investigates the potential benefits of personalization in a mobile learning environment for high school students learning mathematics. Personalization was expected to benefit the students in two main ways. These are improving their performance in mathematics and making navigation of the application easier. Personalization was…

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…

Explores the use of computers for teaching mathematical models of transposition ciphers. Illustrates the ideas, includes activities and extensions, provides a mathematical model and includes computer programs to implement these topics. (MVL)

Presents a series of solution methods to the Eight Queens Problem of placing eight queens on a chess board so that no one queen can capture another. Solution methods progress from empirical approaches to the use of computer algorithms. Geometric transformations are used to find other solutions. (MDH)

This paper presents a sequence of computer-based activities aimed at achieving an intuitive understanding of the ideas and concepts underlying the Fundamental Theorem of Algebra. Deductive proofs to support students' empirical investigations are also discussed. (LZ)

Presents three activities in which students learn about and construct star polygons using the LOGO programing lanaguage. A list of suggested extension activities is included. (JN)

Describes a simulation-oriented computer microworld named CHANCE used to overcome the limitations of physical materials for experiments in teaching and learning introductory probability. Results of a teaching experiment conducted with four middle school and high school students are discussed. (15 references) (LZ)

Shows how the joint use of a dynamic geometry program and a spreadsheet can provide a computational environment for exploring geometry on plane lattices that lessens the risk of developing the false empiricist view of mathematics often associated with the use of information technology. Contains 17 references. (Author/ASK)