There is a large body of literature concerning the potential of dynamic geometry software (DGS) in the problem solving process. However, questions regarding how teaching should take place to prepare students to use DGS as a heuristic tool in non-routine problem situations seem to be overlooked. To address this gap in the literature, the current…

Surface area is consistently identified as a curriculum standard for K-12 students and it regularly appears on national and international assessments. Recently, many schools began acquiring digital fabrication and advanced manufacturing equipment. The growing use of digital fabrication in classrooms raises the question of whether or not this…

In schools, learning spatial geometry is usually dependent upon a student's ability to visualize three dimensional geometric configurations from two dimensional drawings. Such a process, however, often creates visual obstacles which are unique to spatial geometry. Useful software programs which realistically depict three dimensional geometric…

Students in a graduate geometry class used items such as paper, ribbon, plastic spheres, cardboard tubes, and markers to carry out investigations in spherical geometry. The hands-on activities helped students develop a new appreciation of geometry as a study of shape and space; however, the difficulty of subduing wayward elastics and drawing lines…

This paper was developed with the goal of enhancing the mathematical preparation of secondary school teachers in the technological paradigm. It shows how two-variable inequalities can be utilized as models for the construction of geometric objects using the software Graphing Calculator 3.5 (produced by Pacific Tech) as a relation grapher. An…

This paper was prepared in response to the Conference Board of Mathematical Sciences recommendations for the preparation of secondary teachers. It shows how using trigonometry as a conceptual tool in spreadsheet-based applications enables one to develop mathematical understanding in the context of constructing geometric representations of unit…

What features of mathematical thinking do students exhibit when they use dynamic software in their problem solving approaches? To what extent does the systematic use of technology favour students' development of problem solving competences? What type of reasoning do students develop as a result of using a particular tool? This study documents…

This paper introduces technology-based teaching ideas that facilitate the development of qualitative reasoning techniques in the context of quadratic equations with parameters. It reflects on activities designed for and used with prospective secondary mathematics teachers in accord with standards for teaching and recommendations for teachers in…

Presents background information and the listing for a LOGO computer program which investigates an ancient mathematical riddle (related to the square root of seventeen). The simulation, written for Apple II microcomputers, can be easily adapted to other microcomputers. (JN)

Describes the method for producing the equiangular spiral, the geometric curve generated by modeling an insect's orientation process to an illumination source, utilizing a LOGO Turtle program which is included. (JJK)

Discusses the golden ratio and how to make golden triangles using recursive Logo programs. Presents some outputs of the Penrose tile patterns. (YP)

Reviews the Apple II program "Area and Volume" which investigates the areas and volumes of polygonal regions, circles, and solids for grades 6-12. Provides information updates on three programs: True BASIC 2.0, Turbo BASIC 1.0, and Microsoft QuickBASIC 3.0. (MVL)

This article describes how the method of reducing the scale of a graph can be used to illustrate many theorems in geometry concerning angle size. Four examples are presented. A computer program is provided to illustrate how such rescaling of figures can be implemented in LOGO. (Author/YP)

Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)