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,…

Alarming studies indicating a lack of mathematical knowledge among elementary educators has led to increases in the number of mathematics courses required in teacher preparation programs. This study examines the impact newly required mathematics courses had on teacher candidates' beliefs regarding mathematics content and pedagogy in a large,…

This paper describes two classroom activities and a project that supplement a Liberal Arts Mathematics course's coverage of logic and reasoning. The first classroom activity introduces the writing of inductive and deductive arguments, and the second activity involves analyzing a guest speaker's arguments. The project consists of using logic and…

Given the current trend of teaching all students, including those with disabilities and English Language Learners, in inclusive general education settings, it is important to find instructional approaches that adequately address the diverse needs of today's students. This is particularly challenging when it comes to mathematics instruction due to…

The purpose of this study was to compare the effectiveness of two teaching strategies, namely, technology-assisted and traditional methods of teaching in undergraduate algebra classes. Fifty-eight second-year mathematics education undergraduate students in an algebra class were randomly divided in equal numbers into two groups. One group was…

Whenever teachers of young children get together there will be differences of opinion about how far children should be taught to count. Some will argue that the focus should be on small numbers to 9, building up the notion of what, say, the name 5 means, what it looks like, and how it can be represented. Others argue that with ice blocks retailing…

If numeracy is about improving students' use of mathematics in life, then numeracy education cannot be restricted to the mathematics classroom: students need to apply the mathematics they learn across the curriculum and beyond the classroom. Hence, there is more that educators need to discover about how well students can use mathematics in…

This paper examines the extent to which an intervention program on the use of practical work affected the following two variables: instructional techniques and mathematical ability. An attempt was made to correlate these two variables with age, educational attainment, and teaching experience to determine if there exists a relationship with and…