Observable practices of mathematics teaching in the period of the year 2001-2003 also indicated that many teachers still have difficulty in elaborating the syllabus; a number of mathematics topics are considered to be difficult for teachers to teach; a significant number of children consider some mathematics topics as difficult to understand;…

Rural schools, like others in the nation, are enjoined to use national and state standards as the basis for educational reform. Moreover, national standards for mathematics education were established early (1989) and have been disseminated widely. Nevertheless, little is known about the dynamics of standards-based reform of mathematics in rural…

Computer games are no longer just for entertainment; they have also become a useful instructional strategy for acquiring knowledge. When games are used for purposes other than strict entertainment they become serious games. The goal of serious games is to enable the player to learn a task, master a strategy or develop a skill. Serious games can be…

This paper argues that operations with negative numbers should be taught using a curriculum that is grounded in algebraic geometry. This position is supported by the results from a study that compared the conceptual understanding of grade 9 students who received the Algebra Project transition curriculum to a control group of grade 6 gifted…

This case study report provides information that can be useful in implementing rational changes in mathematics teacher education. Considering teachers' thinking about a specific mathematical topic, such as functions, allows one to better understand the broader domain of teachers' mathematical thinking and its influence on teaching and learning.…

As part of the new Victorian Certificate of Education, the state of Victoria, Australia, implemented changes to secondary mathematics courses in order to cater to the needs and aspirations of all students by using a variety of teaching and assessment strategies. The first year that the changes were fully implemented for grade 12 was 1992. A…

As an outgrowth of "A Study of Exemplary Mathematics Programs," conducted at the Northeast Regional Exchange in Chelmsford, Massachusetts, a panel of experts rated 150 school mathematics programs that had submitted evidence of excellence in student outcomes, for example, high test scores, exceptional course enrollments, significant…

Virtual Reality (VR) is a computer generated, multi-dimensional, inclusive environment that can build axioms of algebra into the behavior of the world. This paper discusses the use of VR to represent part of the algebra curriculum in order to improve students' classroom experiences in learning algebra. Students learn to construct their knowledge…

Some research on the learning of mathematics and on learning in general suggests that students may acquire knowledge more efficiently when presented with worked examples rather than the traditional lecture-and-then-practice format. Good worked examples may facilitate the development of mathematical schemata, while a means-end approach may retard…

Students who study algebra are more likely to attend college than those who don't. A major hurdle for students in studying algebra is the transition from arithmetic to algebra. In response to overcoming this hurdle, the College Board and Educational Testing Service has developed "Algebridge," a teaching supplement that integrates…

This publication is a compilation of abstracts and critical comments for 12 published investigations in mathematics education. Information for each study includes: purpose; rationale; research design and procedures; findings; and interpretations. For each study abstractor's comments also provide a brief critique. Topics include: planning problem…

The effect on performance of different formats for typical mathematics story problems was studied, along with the relationship of certain learner variables. More than 1200 children in grades 3-8, including over 220 learning-disabled students, were tested and/or interviewed. Story problems were in the usual format found in textbooks, an abbreviated…

Reported are two separate but related longitudinal studies of two variables strongly associated with sex-related differences in mathematics achievement and enrollment, namely spatial visualization and confidence in learning mathematics. First, boys (N=33) and girls (N=36) in grades 6-8 who were discrepant in their spatial and verbal skills were…

Seven sequential Basic Skill Levels (levels Q, QA, R, S, T, U, and V) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, five to 14 lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a…

The questionnaire responses of 38 secondary school mathematics teachers provided initial data for this study. About 26.3% (n = 10) of this number was sampled for classroom observation and in-depth interviews in order to assess the consistency of the dispositions. Only 15.8% of the schools in the study adopted the calculator version of the…