GeoGebra is the most well-known Dynamic Geometry Application (DGA) in the world. Many researchers are interested in GeoGebra as a tool to make interactive mathematics resources. Here we focus on a snapping function in GeoGebra, which is a kind of general feature of DGA: the mouse cursor is attracted to a specific position or a specific object and…

Vietnam today is having solid innovations in the fields of science, technology, economics, and education. In particular, the Mathematical General Education program launched in 2018 has emphasized the exploitation of information technology in teaching. GeoGebra software is taught right from the 6th grade. GeoGebra software has many advantages in…

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…

This note discusses the introduction of Fourier series as an immediate application of optimization of a function of more than one variable. Specifically, it is shown how the study of Fourier series can be motivated to enrich a multivariable calculus class. This is done through discovery learning and use of technology wherein students build the…

A WebQuest is an inquiry-based lesson plan that uses the Internet. This article explains what a WebQuest is, shows how to create one, and provides an example. When engaged in a WebQuest, students use technology to experience cooperative learning and discovery learning while honing their research, writing, and presentation skills. It has been found…

An exploration approach with calculators that promotes student investigation and development of mathematical processes and concepts is highlighted. The presentation helps to highlight the enormous potential of calculators to facilitate new and imaginative approaches to certain areas of number work, and shows how student interest is promoted. (MP)

Teachers participating in the Image Processing for Teaching Process, begun at the University of Arizona's Lunar and Planetary Laboratory in 1989, find this technology ideal for encouraging student discovery, promoting constructivist science or math experiences, and adapting in classrooms. Because image processing is not a computerized text, it…

The kinds of educational technologies selected can make the difference between uninspired, rote computer use and challenging learning experiences. University of Arizona's Image Processing for Teaching Project has worked with over 1,000 teachers to develop image-processing techniques that provide students with exciting, open-ended opportunities for…

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…

Calculators that have the constant arithmetic feature are promoted, and examples of ways this feature can be used in lessons are presented. (MP)

This document is a collection of reports presented at a programable calculator symposium held in Seattle, Washington, in April, 1980, as part of the annual meeting of the National Council of Teachers of Mathematics (NCTM). The session was designed to review whether the programable calculator has a place in the school mathematics program, in light…

Uses a discovery lesson for determining the area of an equilateral triangle given a side length as an illustration of how to introduce features of the TI-92 graphing calculator geometry package within a mathematical context. (KHR)

These documents are three separate sets of student problems and teaching guides geared towards calculators. Series A is designed for pupils from ages 10 to 13; "B" is structured for 13 through 16, and "C" for 16 through 19. The materials are designed to provide activities for investigation and exploration of number properties and patterns that are…

This book for future mathematics teachers emphasizes technology as a teaching tool; development of teachers who are self-motivated, lifelong learners; and pedagogical features that engage and motivate students. It includes examples and activities to enhance learning. Part 1, "General Fundamentals," includes (1) "Introduction"; (2) "Learning,…

The Calculators and Mathematics Project, Los Angeles (CAMP-LA), funded by the National Science Foundation for developing use of technology in the classroom, developed curriculum materials focused solely on the use of calculators in three stages. The first stage studied the mathematics curricula from different states and identified topics that are…