Cabri3D is a potentially very useful software for learning and teaching 3D geometry. The dynamic nature of the digital diagrams produced with it provides a useful aid for helping students to better develop concept images of geometric concepts. However, since any Cabri3D diagram represents three-dimensional objects on the two dimensional screen of…

This paper focuses on the cognitive processes that occur while students are exploring motion graphs. In a classroom experiment, we examine how high-school students (aged 17), with backgrounds in calculus and physics, interpret the graphs they create through drawing the path of the movement of their hand with a computer mouse. Based on recent, and…

This article describes a case study dealing with teacher?student reaction and cooperation during problem-solving activities within a class setting. The aim is to familiarize student mathematics teachers with the process of mathematics teaching with computers and to help them re-examine their traditional views of mathematics learning and teaching.…

The present study examined characteristics of students who took advantage of the opportunity to learn Algebra II from a highly skilled teacher. In particular, student information was gathered concerning: (a) the amount of mathematics students knew prior to the class, (b) their motivation for learning mathematics, (c) the number and types of…

This paper examines theoretical and empirical evidence related to primary teachers' subject knowledge in mathematics and considers the relevance of an audit of higher-level subject knowledge to the subject knowledge required for teaching primary mathematics. Questionnaires and interviews were carried out to determine the views of generalist…

We report on a study of the relationship between calculator technology and student learning in two introductory statistics class sections taught by the same instructor at the University of Texas at San Antonio. At the introduction of hypothesis testing and confidence intervals, one class section (A) was given graphing calculators capable of…

Little is known about the way that teachers articulate notions of variation in their own words. The study reported here was conducted with 17 prospective secondary math and science teachers enrolled in a preservice teacher education course which engaged them in statistical inquiry of testing data. This qualitative study examines how these…

This study investigated introductory statistics students' conceptual understanding of the standard deviation. A computer environment was designed to promote students' ability to coordinate characteristics of variation of values about the mean with the size of the standard deviation as a measure of that variation. Twelve students participated in an…

This paper describes a classroom teaching experiment, concerning the concept of probability, with children aged 5 in a kindergarten school. The teaching experiment was based on constructivist and interactionist theories about the learning of school mathematics and lasted one month. The collection of the information was based on the tape-recorded…

The authors examined how undergraduate students negotiated roles and developed a shared understanding of mathematics while working together on computer-based modules. The subjects were videotaped while working on these modules and their computer output was simultaneously collected on a separate videotape. Examination of the data tentatively…

The video component of the Third International Mathematics and Science Study (TIMSS) has documented that U.S. students spend most of their time in the mathematics classroom practicing routine procedures as opposed to inventing, analyzing, and proving them. The challenge for preservice and inservice teachers lies in creating a classroom environment…

The quality of knowledge underlying students' algebraic thinking is a major concern of K-12 mathematics teaching and reform-driven curriculum documents. In this paper the author examines this issue by characterizing a group of high school students' algebraic knowledge and patterns of use of that knowledge during the solution of selected problems.…

Concept learning in science and mathematics had often times been taught based on assumptions of alternative concepts or even in some instances based on misconceptions. Some educational researchers favour a constructivist approach in teaching science and mathematics. The constructivist literature existing makes use of alternative conceptions as…

In educational research, characteristics of the learning environment are generally assessed by asking students to evaluate features of their lessons. The student ratings produced by this simple and efficient research strategy can be analysed from two different perspectives. At the "individual level", they represent the individual student's…

During individual interviews, secondary school mathematics teachers were asked to plan teaching an unfamiliar and challenging mathematics problem. Each teacher watched a special video-clip showing a pair of pupils successfully coping with the task. Teachers' planning was analyzed at three stages: before they solved the problem, after solving it,…