Motivation and math anxiety are crucial in performance and satisfaction, and augmented reality (AR) may be a useful tool in enhancing these factors because it provides users with interesting visual experiences. Since related empirical research is limited in investigating the effects of using free mobile AR apps integrating Keller's ARCS…

The author and his first-year algebra students explored the quadratic behavior behind the parabolic shape of fountains at the local family splash park. This hands-on discovery project has three main parts: (1) gathering data by experimenting with and photographing the fountains; (2) analyzing the photographs to obtain numerical data; and (3)…

This article outlines a method of conducting a laboratory designed to discover mathematical integration with students. The results are produced and verified in the laboratory by students. Understanding that an integral is defined by the area bounded by a function of x and the x-axis from a point a to a point b is challenging. Students often have…

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…

This article describes "Math Their Way" techniques for experiential learning of math concepts by deaf children. Finding, comparing, and creating patterns are emphasized at conceptual, connecting, and symbolic levels. Graphing, counting, and measuring exercises are described, as well as ways to steer free time and exploratory learning toward math…

A series of activities that focus on the process of measuring are presented. The material is designed to help children develop a concept of measurement by leading them through the processes used in establishing formal measurement systems over the centuries. (MP)

Aspects of the instruction of trigonometry in secondary school mathematics are reviewed. Portions of this document cover basic introductions, a student-developed theorem, the cosine rule, inverse functions, and a sample outdoor activity. (MP)

Allowing students to use a polystyrene cutter to fashion their own three-dimensional models is suggested as a means of allowing individuals to experience problems and develop ideas related to solid geometry. A list of ideas that can lead to mathematical discovery is provided. (MP)

A unique problem solving activity involving student lockers in a junior high school is presented. The activity embodies numerous mathematical concepts and has successfully motivated pupils to explore related mathematical ideas. (MP)

The teaching of mathematics as a science to elementary school children is promoted. Use of the scientific method in learning is presented as a form of experiential or discovery teaching. (MP)

Describes an activity in which geometry and trigonometry are studied using pyramids. Identical model pyramids are constructed from card stock, along with pyramids of different proportions and cuboids to use as controls. Also includes an investigation of some apparently non-scientific claims. (DDR)

Presents three hands-on, discovery geometry lessons based on the use of special pieces called Polydrons by a fifth-grade class to build and investigate special properties of polyhedra and to stimulate students to think geometrically. Includes reproducible student worksheets. (MKR)

Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…

Activities originally designed to teach third-grade students about measuring liquids are presented. Included in the document are reasons to teach students how to use the basic units of liquid measurement and the development of a "laboratory" within the classroom where pupils could work while minimizing the mess. Some of the topics developed for…

Presents a series of lessons that extend the concrete experiences many elementary students have had with attribute blocks to provide middle school students with informal opportunities to explore the concepts and properties of relations and functions. (DDR)