Helping teachers envision how math standards can be integrated into the secondary classroom, this book presents engaging activities and ready-to-use lessons aligned with NCTM content and process standards. This user-friendly book by mathematics educator Timothy J. McNamara is filled with a generous collection of lessons for each of the ten NCTM…

This study investigates middle school mathematics students' views and interpretations of graphical representations as they use graphs to answer algebraic questions--specifically, questions that require them to extrapolate information from graphs. From data gathered in videotaped interviews, students' verbal responses were analyzed as well as any…

This study investigated the predictive validity of the Descriptive Tests of Mathematical Skills (DTMS) and the SAT-Mathematics (SAT-M) tests as placement tools for entering students in a small, liberal arts, historically black institution (HBI) using regression analysis. The placement schema is four-tiered: for a remedial algebra course, college…

We studied experts' solving methods and analyzed the nature of mathematical knowledge as well as their efficiency in algebraic calculations. We constructed a model of the experts cognitive functioning (notably teachers) in which the observed automatisms were modeled in terms of schemes and instruments. Mathematical justification of transformation…

This research examines students' ability to work with algebraic variables and their notations as a result of the type of instruction they received, and places their work on scales that illustrate its location on the continuum from arithmetic thinking to algebraic reasoning. It presents data from pre- and post-instruction clinical interviews…

There is evidence that structured cooperative logic is an effective way to introduce or reinforce mathematics concepts, explore thinking processes basic to both math and science, and develop the important social skills of cooperative problem-solving. This book contains a number of cooperative logic activities for grades K-4 in order to improve…

Mastering mathematics has become more important than ever in the United States. Students with a strong grasp of mathematics have an advantage in academics and in the job market. The eighth grade is a critical point in mathematics education. Achievement at that stage clears the way for students to take rigorous high school mathematics and science…

The goal of this series of guides is to show Texas educators what components of the Texas Essential Knowledge and Skills (TEKS) curriculum are eligible for testing on the Texas Assessment of Academic Skills (TAAS) and end-of-course tests. This guide contains information for the end-of-course tests administered for the following subjects: Algebra…

This report examines performance differences between Asian, Black, Hispanic, and White students in Delaware on the mathematics portion of the Third International Mathematics and Science Study-Repeat (TIMSS-R). Data analyses show that the mathematics performance gap across ethnic groups is significant. The lowest 100 Black and White performers were…

This profile is designed as a recording sheet for monitoring an individual student's progress throughout the school year. Fifth grade assessment materials and the "Strategies for Instruction in Mathematics" suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of levels of…

This study reports the results of the implementation of Project SEED, a mathematics program for urban elementary school students, in five urban districts: Camden (New Jersey); Dallas (Texas); Detroit (Michigan); Indianapolis (Indiana); and the West Contra Costa Unified School District in Richmond and San Pablo (California). Students exposed to at…

Results from the third national mathematics assessment indicate that the decline in performance of 17 year olds between 1973 and 1978 has leveled out over the last four years, and 13 year olds' performance improved significantly between 1978 and 1982. However, most gains were on lower-order skills. (MNS)

Discussed is the use of a program called MathCAD which allows students to solve higher order polynomial equations and geometry problems. The use of cooperative learning is emphasized. Included are graphs and part of a printout generated while solving problems with MathCAD. (KR)

Suggested are features which should be considered before selecting a specific interactive graphics package. Features that allow for accurate estimates of roots of functions and solutions to systems of equations are illustrated. Six graphics packages are compared including display, tabular options, misleading graphics, printing options, functions…

Discusses criteria that can be used to determine whether it would be effective to integrate computers into classroom instruction. Highlights include improving the quality of instruction; the use of appropriate courseware for difficult subjects, such as algebra and chemistry; drills and practice; improving motivation; and the role and effectiveness…