This paper contains information on a study which investigated the use of GeoGebra software in teaching and learning circle geometry enhancing Grade 11 learners' academic achievement in South Africa. The study employed a quantitative methodological research design that included non-equivalent (pre-test and post-test) quasi-experimental research.…

The notion of the lesson "hiccup", defined as the perturbation experienced by a teacher during teaching that has been triggered by the use of mathematical technology, was first proposed in Clark-Wilson. Hiccups which are both unanticipated and unplanned, emerged from a study that sought to make sense of the process of secondary…

Increasing pressure is mounting from all areas of society to maximise technology use within educational domains. Whilst curriculum documents call for the utilisation of technology as a teaching tool in the mathematics classroom, the benefits of exploring forms of dynamic mathematical software, such as GeoGebra, are often introduced in the senior…

Current technologies incorporating sophisticated mathematical analysis software (calculation, graphing, dynamic geometry, tables, and more) provide easy access to multiple representations of mathematical problems. Realising the affordances of such technology for students' learning requires carefully designed lessons. This paper reports on design…

Developing a software environment to enhance 3D geometric proficiency demands the consideration of theoretical views of the learning process. Simultaneously, this effort requires taking into account the range of tools that technology offers, as well as their limitations. In this paper, we report on the design of Virtual Spaces 1.0 software, a…

The question "What shape will have the largest area for a given perimeter?" identifies an important relationship between area and perimeter that has long been intuitively realized in many cultures. Historically, numerous cultures have made use of this relationship between area and perimeter when struggling to build dwellings with shapes…

Discusses the use of software created for practical, real-world applications to connect mathematics to other subjects and to the world outside the classroom. Software presented includes Design Your Own Home, Bridgebuilder, Physics Explorer, Aldus Superpaint, and Sprout. (MKR)

Relates one secondary geometry teacher's experiences learning and using the computer program "Geometer's Sketchpad." The article describes the program and provides examples of ways this teacher uses it in combination with more traditional teaching tools. (SM)

Promotes the use of the microcomputer in mathematics instruction, reviewing approaches to teaching nonlinear equations. Examples of computer diagrams are illustrated and compared to textbook samples. An example of a problem-solving program is included. (ML)

Argues that students should have dynamic perceptual experience with the concepts central to circular functions. Includes a computer program, designed for Apple II, to provide such experience. (PK)

Describes a study at a secondary school in Glasgow (Scotland) in which teacher-pupil and pupil-pupil pairs of users collaboratively used eight commercial educational software programs, four related to mathematics and four to English language teaching, to determine whether software style affects patterns of interactions. (23 references) (LRW)

Describes and analyzes a study of the influence of computers on pupils ages 12-14 in Spain. Four fields of action are defined: (1) research; (2) teacher training; (3) student and teacher activities; and (4) the development of teaching materials. An example of the curricular development of units for mathematics is included. (Contains 21…

This article first explains a "number trick" using algebra and then extends the ideas by use of a computer program. (PK)

Discusses computer methods for finding roots of polynomials. The program provided finds rational roots and prints the roots as rational numbers. (PK)

Weaknesses in educational software currently available in the domain of mathematics are discussed. A technique that was used for the design and production of mathematics software aimed at improving problem-solving skills which combines sound pedagogy and innovative programming is presented. To illustrate the design portion of this technique, a…