"EFF HOT (Highlights on Teaching Topics) Topics" is a publication of the EFF (Equipped for the Future) Center for Training and Technical Assistance. Each issue concentrates on a specific topic, highlighting examples of actual practice and offering strategies and tools for using EFF in the classroom. In this issue, "HOT Topics" focuses on the…

Presents five computer programs: (1) Accurate Numerical Solutions of the One-Dimensional Schrodinger Equation; (2) NMR Simulation and Interactive Drill/Interpretation; (3) A Simple Computer Program for the Calculation of 13C-NMR Chemical Shifts; (4) Constants of 1:1 Complexes from NMR or Spectrophotometric Measurements; and (5) Saturation…

Discussed is the process of translating situations involving changing quantities into mathematical relationships. This process, called dynamical modeling, allows students to learn new mathematics while sharpening their algebraic skills. A description of dynamical systems, problem-solving methods, a graphical analysis, and available classroom…

To build understanding of, and the ability to use, first-year science and engineering calculus, students were introduced to differential equations and asked to carry out research on differential equation modeling projects. Describes a model for the research paper; appendices provide a copy of the student handout and five examples of student…

A cooperative activity involving eight sixth grade students over five days focused on inventing static representations of motion. In generating, critiquing and refining numerous representations, strong metarepresentational competence was found. An intricate blend of the children's conceptual and interactional skills, their interest in and sense of…

The impact of test item multidimensionality was examined as it affected fitting items on a teacher licensure test to an item response theory (IRT) model. Test item data from the 1990 study of G. W. Guiton and G. Delandshere are used. The Connecticut Elementary Certification Test (CONNECT) is a licensure examination designed to assess the subject…

Presents a program to introduce fifth graders to everyday economic life by constructing a true-to-life simulation of an economic community. Students apply mathematics skills to managing a checking account, calculating electric bills, and managing shops using computers. (MDH)

"Seeing Fractions" is an instructional unit for teachers in California that was trial tested in about 30 classrooms, grades 4 through 6 with diverse student populations, and designed to help students become aware of the variety of ways in which fractions are commonly used. The Introduction includes an overview of fractions and what…

As presented in this report the basic purpose of CAIR (Computer-Aided International Relations Teaching) is to introduce university students and policy analysts in government agencies to substantive data analysis in the field of international studies. The student will be exposed to quantitative political science, learn the role and limitations of…

We have designed model-development sequences using a common context to provide authentic problem-solving experiences for first-year students. The model-development sequence takes a model-eliciting activity a step further by engaging students in the exploration and adaptation of a mathematical model (e.g., procedure, algorithm, method) for solving…

Efforts have been underway since 1973 to determine if there are elements of Navajo culture that potentially impact upon a Navajo student's attainment of mathematics concepts. Extensive reading and discussion with Navajo students and educational leaders on the Navajo reservation show that basic concepts and objectives of Navajo philosophy (a quest…

Described is an alternative first year algebra program developed to bridge the gap between the NCTM's Curriculum and Evaluation Standards and institutional demands of schools. Increased attention is given to graphing as a context for algebra, calculator use, solving "memorable problems," and incorporating geometry concepts, while…

Describes a study which measured how ninth-grade students integrated information about mathematical concepts when working with Triple Representation Model software. Tables, graphs, and algebraic functions were linked, allowing students to manipulate several representations of the same concept. Examples of mathematical problems and student case…

The School Science and Mathematics Association seeks to improve the teaching and learning of mathematics and science and to promote the integration and interrelationships among these disciplines. This monograph presents 20 articles that have appeared in the association's journal, "School Science and Mathematics," between the years of 1905 and 1988…

Two methods of reading instruction (homogeneous grouping and graded classes) are compared for 165 students in 8 rural North Dakota schools by raw gain scores, residual gain scores, and the analysis of covariance. (CK)