In response to a large backlog of demand for data analytics expertise, universities are adding analytics courses and/or programs. Data visualization and exploration are among the pillars of the analytics curriculum and should be included in analytics programs. This article presents the philosophy, structure, and content of a data visualization and…

One challenge of teaching chemical analysis is the proliferation of sophisticated, but often impenetrable, instrumentation in the modern laboratory. Complex instruments, and the software that runs them, distance students from the physical and chemical processes that generate the analytical signal. A solution to this challenge is the introduction…

This design case describes the development of the Invention Coach, an intelligent exploratory learning environment (ELE) for the constructivist activity of Invention. The Invention Coach scaffolds students as they invent mathematical formulas to describe contrasting cases. In this paper, we detail our process and rationale for three key design…

Dynamic/interactive graphing applets can be used to supplement standard computer algebra systems such as Maple, Mathematica, Derive, or TI calculators, in courses such as Calculus, Differential Equations, and Dynamical Systems. The addition of this type of software can lead to discovery learning, with students developing their own conjectures, and…

Tangible technologies and shared interfaces create new paradigms for mediating collaboration through dynamic, synchronous environments, where action is as important as speech for participating and contributing to the activity. However, interaction with shared interfaces has been shown to be inherently susceptible to peer interference, potentially…

We describe exercises in which students use PascGaloisJE to formulate conjectures about certain binomial identities which hold when the binomial coefficients are interpreted as elements in the cyclic group Z[subscript p] of integers modulo a prime integer "p". In addition to having an appealing visual component, these exercises are open-ended and…

In the ZAP project, a set of interactive computer programs called "ZAPs" was developed. The programs were designed in such a way that first-year students experience psychological phenomena in a vivid and self-explanatory way. Students can either take the role of participant in a psychological experiment, they can experience phenomena themselves,…

In this paper, we give a detailed account of the design principles and construction of activities designed for learning about the relationships between position, velocity and acceleration, and corresponding kinematics graphs. Our approach is model-based, that is, it focuses attention on the idea that students constructed their own models--in the…

Considers possibility of developing a computer tutor around an explicit concept-learning theory derived from machine learning techniques. Some problems with using the focusing (and similar) algorithms in this role are discussed and possible solutions are developed. Design for a guided discovery learning system for tutoring concepts is proposed.…

This paper describes the use of LOGOWriter with fifth grade boys as a means of developing programming procedures for computer games that they could use to simulate motion with acceleration, as well as techniques for controlling the direction of motion. The kinds of programs developed, student responses to this work, observations about teaching…

Describes how a software package that includes a spreadsheet, a relation grapher, and a dynamic geometry can contribute to teacher training through an exploratory problem-solving course. Discusses the ways in which technology-rich environments enhance and extend traditional topics. Contains 17 references. (DDR)

The analysis and simulation of spiral growth in plants integrates algebra and trigonometry in a botanical setting. When the ideas presented here are used in a mathematics classroom/computer lab, students can better understand how basic assumptions about plant growth lead to the golden ratio and how the use of circular functions leads to accurate…

Computers in non-school settings, educational computer games, and education without schools are the primary topics covered in this three-section paper. The first section describes the use of personal computers in two different, non-school environments: the home and computer clubs. A "diary study" by Yaakov Kareev is summarized, in which…

Presents evidence against the use of standardized curricula and testing and in favor of discovery-based instruction. Describes a successful experience with a relatively new form of discovery-based instruction, the scenario educational computer software. (AEF)

A "driver's license" at one suburban Minnesota high school is a free round-trip ticket to the world. The Internet allows students to stroll through the Louvre, tour the White House, or examine current satellite weather photos at NASA's computer center. Students are developing friendships, exploring different cultures, and learning…