A study was conducted to examine the learning of mathematical concepts by English dominant and Spanish dominant primary school children. The concepts considered were number, numeration, and computational procedures. Using the case study method, a three step procedure was designed to study individual math objectives: (1) objectives were first…

California's Pupil Proficiency Law requires each local school district to adopt standards of proficiency in the basic skills of reading comprehension, writing, and computation. Students are to be assessed in grades 4-11. Students not making sufficient progress towards meeting the district's standards are to be provided with remedial programs, and…

This study investigated the effects of the use of hand-held calculators on problem solving and computational skills of elementary school students. It also considers the resulting implications for curriculum change. Evaluation focused on achievement in problem solving, computational skills, and number concepts of kindergarten, second grade, and…

This book is intended to make common fourth-grade mathematical concepts both interesting and easy to understand. The text is designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. The reading level required of pupils has been reduced. Individual chapter titles are:…

Describes the Approaching Algebra Numerically (AAN) Calculator as a computer-based simulation of a hand-held calculator designed with novice learners in mind. Includes a complete description of the calculator and suggests uses for the calculator, including exponentiation, order of operations, scientific notation, concept of variable, and problem…

Proposes that teachers should examine the elements of mathematical understandings that precede conservation and one-to-one correspondence and tailor classroom instruction to benefit both conserving and nonconserving students. (PK)

A survey of institutions concerning their reporting of data on the Higher Education General Information Survey and specifically examining the differences in definitions and calculations among reporting institutions, confirmed suspected problems of comparability of information. The impact of these differences on data interpretation is discussed.…

Item parameter estimates vary for a variety of reasons, including estimation error, characteristics of the examinee samples, and context effects (e.g., item location effects, section location effects, etc.). Although we expect variation based on theory, there is reason to believe that observed variation in item parameter estimates exceeds what…

This action research study examined the effectiveness of Touch Math, a math series that emphasizes use of manipulatives, to improve mathematics achievement with four third or fourth grade students with special needs (either mild mental retardation, learning disability, or health impairment). The students received mathematics instruction for 45…

This paper addresses statistical aspects of the No Child Left Behind (NCLB) Act (Bush, 2001), with the following goals: to further the discussion on how gaps in performance might be defined and to offer candidate gap estimators, to evaluate candidate gap estimators with respect to three separate student performance measures, to provide…

The paper initially describes the sources of uncertainty in National Assessment of Educational Progress (NAEP) data and standard errors. As NAEP sample sizes have increased, greater precision has been attained by the program. For this reason, exclusion effects are increasingly important. Two scenarios of revised NAEP results are presented (for New…

Most experts believe that young children possess a substantial amount of informal knowledge about mathematics. The teacher's role is to create a link between children's ability to use informal math and the ability to understand the more formal math taught in elementary school. Teachers must help children construct and elaborate upon what they…

Presented are several simple kinetic systems together with the spreadsheets used to solve them. A set of exercises in chemical kinetics appropriate for an introductory course in physical chemistry is given. Error propagation calculations with experimental data are illustrated. (CW)

Described is a short program for teaching and learning about geometric transformations. The integration of geometry problem solving and BASIC programing is discussed. Applications of computer graphics are illustrated. (CW)

Provides two activities. Discusses the use of a computer and a calculator for the activities. Presents BASIC and LOGO program for finding Pythagorean triples. Seven references are listed. (YP)