Following a brief historical review of the mechanism of mathematical modeling, examples are included that associate a mathematical model with given data (changes in sea level) and that model a real-life situation (process of parallel parking). Also provided is the rationale for the curricular implementation of mathematical modeling. (JJK)

Confirms and refutes Freudenthal's provocative prediction that by the year 2002 mathematics education will be integrated into other subjects. Discusses the Committee for the Development of Mathematics Education's report on reforms in mathematics teaching, assessment, and use of computers in mathematics education. (MDH)

The analytically derived asymptotic standard errors (SEs) of maximum likelihood (ML) item estimates can be approximated by a mathematical function without examinees' responses to test items, and the empirically determined SEs of marginal maximum likelihood estimation (MMLE)/Bayesian item estimates can be obtained when the same set of items is…

The "East Asian learner paradox" refers to the apparent contradiction between the "teacher-dominated" learning environment in East Asia, which is generally perceived to be non-conducive to learning, and the outstanding performance of East Asian students in comparative studies. This study attempts to explain this phenomenon…

The main distinction between the overlapping fields of molecular biophysics and biochemistry resides in their different approaches to the same problems. Molecular biophysics makes more use of physical techniques and focuses on quantitative data. This difference encounters two difficult pedagogical challenges when teaching molecular biophysics to…

This document proves that the F statistic can be obtained by squaring t-test values, or that equivalent t-test values may be obtained by extracting the positive square roots of F values. Proof to varying degrees of completeness and accessibility has been given by other scholars, but generally these prior statements, particularly those available to…

The newspaper is a familiar tool to many teachers. This book explores another use for the newspaper in the classroom. As an aid in the teaching and remediating of basic mathematics skills, the newspaper adds variety to classroom instruction. The suggested newspaper activities and teaching ideas presented here are specifically designed to reinforce…

This competency analysis profile contains eight lists of mathematics skills that have been identified by employers and verified by math-certified instructors as being core competencies for eight groups of occupational areas. Each list is organized into subsections dealing with the following: numbers and number relations, measurement, data analysis…

This module presents a real-world context in which mathematics skills (geometry and trigonometry) are used as part of a daily routine. The context is the machine tool technology field, and the module aims to help students develop the ability to analyze diagrams in order to make mathematical computations. The modules, which features applications…

This module presents a real-world context in which mathematics skills are used as part of a daily routine. The context is the radiological technology field, and the module aims to help students use ratios and exponents as part of real-life problem solving. Materials in the module, most of which are designed for the teacher to duplicate and…

This paper reports the latest in a series of studies investigating children's performance in solving division story problems involving remainders. One aspect of the work involved examining the way in which "sense-making" is involved in the interpretation of the numerical solution obtained. Subjects were 195 sixth, seventh, and eighth…

Students' performances on mathematical problems varying in symbolic form and the kinds of symbolic representations and translation used in instruction were explored. The sample consisted of 29 students enrolled in Algebra II in a summer program for minority students. All students were Black or Hispanic American and most were about to enter grade…

This book provides applications for use in the secondary school mathematics curriculum by selecting related articles appearing in the "Mathematics Teacher" during the last 15 years. The articles are grouped into chapters that reflect the main secondary school mathematics courses and categorized by the highest level of mathematics needed…

The product of a project conducted in Massachusetts to apply the National Council of Teachers of Mathematics' (NCTM) "Curriculum and Evaluation Standards for School Mathematics" to adult basic education (ABE) learning environments, this volume is a collection of teacher-researchers' essays on field-based application of the adapted…

Traditional elementary statistics instruction for non-majors has focused on computation. Rarely have students had an opportunity to interact with real data sets or to use questioning to drive data analysis, common activities among professional statisticians. Inclusion of data gathering and analysis into whole class and small group activities…