Middle school teachers realize the value of students playing games in mathematics classes if those games emphasize problem-solving strategies, algebraic reasoning, or spatial sense. This article describes various versions of the traditional game of nim and shows how working backward can be used to find a winning strategy. The link is then made…

This paper indicates that prospective teachers' familiarity with theoretical models of students' ways of thinking may contribute to their mathematical subject matter knowledge. This study introduces the intuitive rules theory to address the intuitive, "same sides-same angles" solutions that prospective teachers of secondary school mathematics come…

This paper describes an in-service professional development course in introducing creative approaches to teach mathematics for teachers from the private-funded schools in Java, Indonesia. The course focused on introducing teachers to problem-solving processes and skills, and samples of activity-based worksheet on problem solving through secondary…

This research aimed to establish if the presentation of two positive stereotypes would result in choking under pressure for identified male mathematics students. Seventy-five 16 year old men, who had just commenced their AS-level study, were either made aware of their gender group membership (single positive stereotype), their school group…

This article describes an instructional sequence intended to help students think about why integer operations work the way they do. It introduces the idea of an integer as a composite unit and embeds the well-known debit/credit model in an "allowance" context. (Contains 3 figures.)

This study investigates how mathematics secondary schools' teachers in Jordan perceive critical thinking and compares teachers' perceptions before and after educational reform. Data were collected from 12 schools twice: in 1988 and in 2004 by interviewing 47 Mathematics teachers. The interview included questions related to teachers' understanding…

A one year project was started in the school year 2003/04 to test the use of symbolic calculators (SC)--the TIVoyage 200--in six 10th grade classes of three grammar schools in Bavaria (Germany). The project was repeated in school year 2004/05. The evaluation of the project was intended to give answers to the following questions: how basic…

The purpose of this study was to determine the effect of computer aided instruction and traditional method of instruction on the junior secondary school students achievement in mathematics. Four research questions and hypotheses were stated and tested in the study. The design of the study was the pre-test post-test control group experimental…

Enacting the vision of NCTM's "Principles and Standards for School Mathematics" depends on effective teacher professional development. This 7-year study of 48 projects in the National Science Foundation's Local Systemic Change Through Teacher Enhancement Initiative investigates the relationship between professional development and…

The ultimate goal of high school mathematics teachers is to create a meaningful learning environment that is conducive to teaching students the necessary concepts for academic achievement. Unfortunately, evidence suggests that many secondary educators still teach in a rote lecture style that focuses on the teacher providing information to passive,…

The idea of "interpretative flexibility" underpins new approaches to studying technological artefacts and curricular resources in use. This paper opens by reviewing, in this light, the evolving design of dynamic geometry, its pioneering use within classroom projects, and early sketches of its mainstream use in ordinary classrooms. After…

Results of a study into secondary school students' and teachers' conceptions of what mathematics is and the purposes of school mathematics are outlined. A total of about 220 first year engineering students and 600 high school students in Australia were involved in the surveys while 40 students, 19 teachers, 2 career counselors, and 2…

This article reports the results of a questionnaire applied to secondary school students (n=35) to explore efficiency in the resolution of equations in the domain of whole numbers and the spontaneous responses to problems leading to negative solutions. The most significant results obtained with the questionnaire are the lack of knowledge of the…

Little is known about teachers' reflections on current reform efforts in real classrooms (Cuban, 1993). This study describes methodology and data on teachers' efforts to implement a 4-year secondary mathematics reform curriculum at a statewide level. The methodology uses vignettes in an attempt to retain the best part of careful observational…

This report describes a program for increasing adolescent visualization and understanding of geometry problems. The targeted population consisted of high school students in two geometry classes in a growing middle-class community. The inability of students to adequately visualize and understand geometry problems was documented through teacher-made…