A sequence of number pairs can be used to generate many interesting examples in teaching mathematics subjects at various levels. It is often used in elementary or middle school mathematics classes to illustrate the concept of "patterns." In this paper the authors present a few interesting ways of using this sequence to form examples for high…

Montgomery County Public Schools (MCPS) "Special Education at a Glance." which includes a copy of the "Guide to Planning and Assessing School-Based Special Education Programs." provides in a single document, information about the special education population at each Montgomery County (Maryland) public school, including…

The State of Florida Department of Education provides pre-and-post-graduation data for public high school graduates throughout Florida. These data were used for the present report to produce data sets for all M-DCPS regular high schools and charter high schools graduating students in 2008 and 2009. Summary data for the district are also provided.…

We present a summary of a study carried out with students of the first year of Bachillerato (the first of two pre-university non-obligatory secondary education courses in Spain) to determine and analyse some of their errors and difficulties in learning inequalities with the aim of improving the teaching-learning process of this topic. The study…

The National Center for Education Evaluation and Regional Assistance produced this major study of the effectiveness of education technology. Mandated by Congress, the report uses scientifically based research methods and control groups to focus on the impact of technology on student academic achievement. Thirty-three districts, 132 schools, and…

In this article, the author describes how he created an approach that he terms "Mathematics as a Second Language" (MSL) for teaching ELL students mathematics. The main components of MSL are vocabulary activities, journals, group work, and projects. He used MSL to teach prealgebra to ELL students, as well as to native English speakers, for two…

This proceedings contains 75 research reports, 8 discussion groups, 32 oral reports, and 28 poster presentation entries from the 1996 Annual Meeting of the American Chapter of the International Group for the Psychology of Mathematics Education. A one-page synopsis is included for discussion groups, oral reports, and poster presentations. Topic…

If it can be shown that the Scholastic Aptitude Test mathematics test (SAT-M) is a reasonably good predictor of success in particular mathematics courses, it may have a role as a measure of prerequisite skills. The predictive validity of the SAT-M was studied by collecting grades from freshman mathematics courses at 10 colleges (3,499 students).…

Research has often found little or no significant differences in overall performance for math students using graphing calculators compared to traditional (non-calculator) classes. However, when performance is divided into procedural and conceptual levels, significant differences appear at the conceptual level. This study investigates the relation…

This resource book for algebra contains games, tricks, and quick activities for the classroom. Categories of activities include puzzlers, patterns, manipulatives, measurement, graphing, and a section that contains reproducible statement and value cards. Twenty one puzzle problems, four pattern activities, and 11 quick activities that engage…

Traditionally, vocational mathematics and precollege mathematics have been separate in schools. This book illuminates the interplay between technical and academic mathematics. This collection of essays by mathematicians, educators, and other experts is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to…

This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 6-8, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, exponents, fractions, pre-algebra, algebra, geometry, number theory, set theory, ratio, proportion, percent, probability,…

This study, involving 65 undergraduates at the Georgia Institute of Technology (Atlanta); explores a scheme for representing problem-solving knowledge and predicting transfer as a function of problem-solving subgoals acquired from examples. A subgoal is an unknown entity (numerical or conceptual) that needs to be found in order to achieve a higher…

The theme of the material contained in this annotated resource list is the relationship between teaching and learning mathematics in the specific content area of graphing functions. The list contains 30 articles, papers, and unpublished manuscripts written from 1979 through 1989. The articles treat various aspects of concept formation,…

The advent of calculators for graphing and function plotters is changing the way college algebra and calculus are taught. This paper illustrates how the machines are used for teaching the following: (1) domain and range; (2) product and quotient inequalities; and (3) the solving of equations. Instructional hints are provided for each topic with…