Proportional reasoning pops up in math class in a variety of places, such as while making scaled drawings; finding equivalent fractions; converting units of measurement; comparing speeds, prices, and rates; and comparing lengths, areas, and volume. Students need to be exposed to a variety of representations to develop a sound understanding of this…

This paper advocates the use of symbolic computation packages as another aid in teaching geometry. The need for such packages and their use in computerized proofs are demonstrated by a problem in high school planar geometry. (LZ)

Presents a problem and a line of reasoning inspired by working in dynamic geometry environments and allowing students to make a geometric construction on the computer and then manipulate the construction by dragging points, lines, and segments. (MKR)

A preservice teacher education course involving the applications for a computer within the mathematics classroom is described in terms of its evolution from a workshop to a regular curricular offering. Included are samples of computer experiments which suggest computer teaching activities for the prospective teacher lacking in field experience.…

This description of how one high school in Wisconsin is using computer equipment and instructors to further computer knowledge and awareness among students, teachers, and adults of the community, details a two-week computer literacy unit taught to students enrolled in geometry classes. An outline of the unit is provided along with daily lesson…

The use of microcomputers to aid geometry instruction is emphasized through discussion of a program written in BASIC which provides for experimenting with polynomial curves. The program listing is included. (MP)

Many of the characteristics that make the Windows 3.1 software popular in other settings are useful for instruction. Features and accessories that can enhance teacher productivity include task switching, object linking and embedding, and object packaging. Users can take advantage of Windows-compatible shareware (an example suitable for chemistry…

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

Describes a geometry database unit for elementary classrooms in which students determine geometric attributes of a variety of shapes, and then set up a database that can be used to answer questions about the figures. Activities described include creating a database record format, simulating searches, and applying search criteria strategies. (five…

Discussed are several different transformations based on the generation of fractals including self-similar designs, the chaos game, the koch curve, and the Sierpinski Triangle. Three computer programs which illustrate these concepts are provided. (CW)

The purpose of this project is to help teachers of mathematics get started using the computer to aid the teaching and learning of many mathematical concepts in a meaningful way. To this end, commercially available software packages are described which are versatile, cost effective, and easy to use. A review and several lessons, including homework…

Description of the field of robotics and its possible use in high school computational geometry classes emphasizes motion planning exercises and computer graphics displays. Eleven geometrical problems based on robotics are presented along with the correct solutions and explanations. (LRW)

Focuses on the place of discrete mathematics in the grades 9-12 mathematics curriculum and discusses how the topic of recursion should be taught. Presents several examples of recursion involving LOGO, spreadsheets, sequences, Pascal's triangle, and the Tower of Hanoi to illustrate its teaching. (MDH)

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…