Applications of generalizations of both arithmetic and geometric progressions are presented. The first-order difference equation is used in solving seven examples from finance, business, and medicine. Detailed directions are included for each example. (KR)

Described in this article is a problem-solving activity which integrates the application of microcomputers with the learning of physical chemistry. Students use the program with spectroscopic data to calculate the thermodynamic properties and compare them with the values from the thermochemical tables. (Author/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…

Proposed is a way for teachers to distinguish between rich, challenging material that encourages mathematical thinking and material that is unsuitable. Included are multistep problems that encourage a broader understanding of mathematics. (KR)

Described are four classroom activities that may be interspersed into a curriculum or offered as homework. Systematic procedures, alternative strategies, and trial and error are emphasized in these counting exercises. (KR)

Presented are four activities which allow students to work with rhombus patterns. These activities encourage students to search for, test, and verify patterns and to also practice computation and work with ratios. Diagrams needed for each activity are included. (KR)

The problem of innumeracy in general and at the primary school level in particular is attributed to a structuralist design of instruction emphasizing an algorithmic approach to arithmetic. Offered is an alternative learning approach developing arithmetic as an informal context-bound activity tied to mental arithmetic and estimation. (MDH)

This study examined the hypothesis that prior experience with augmented-quotient problems would positively influence performance on remainder-only problems and quotient-only problems. Analysis of sixth through eighth grade students' (n=545) responses to test forms that systematically varied the order of appearance of these three division problems,…

This study compared the effectiveness of teaching multidigit addition of whole numbers without regrouping prior to teaching it with regrouping to teaching multidigit addition with and without regrouping simultaneously. Pretest/posttest-delayed posttest results of second grade students (n=151) from seven randomly assigned classrooms indicated no…

Results of a comparison of 73 Anglo American and 155 Chinese American (CA) fourth through sixth graders on an intelligence test and measures of the speed and consistency of retrieval of arithmetic facts from long-term memory are consistent with the hypothesis that accessing elementary arithmetic knowledge is more completely automatized in CA…

Premorbid intellectual function estimation is a crucial part of patient evaluation following a traumatic brain injury (TBI), especially in individuals with ADHD who are at higher risk for TBI compared to their non-ADHD peers. This study investigates the value of using regression-based estimates of intelligence for concurrently predicting measured…

The process of choosing strategies within mathematization is described in a multi-method study on solving additions and subtractions. The sample consisted of 40 dyads of 3rd-graders and their teacher from ten mainstream primary schools. From each classroom the two students rated as highest and the two rated as lowest were selected to take part in…

Guided by Shulman, 1986 and Shulman, 1987 tripartate model of teacher expertise [subject matter knowledge (SMK), pedagogical content knowledge (PCK), and general pedagogical knowledge (GPK)], the present study examined 162 U.S. and Chinese 3rd grade mathematics teachers' expertise in teaching fractions. Results show that U.S. teachers lag…

The purpose of the NMSBA technical report is to provide users and other interested parties with a general overview of and technical characteristics of the 2007 NMSBA. The 2007 technical report contains the following information: (1) Test development; (2) Scoring procedures; (3) Summary of student performance; (4) Statistical analyses of item and…

This document compiles an "honest list" of what is needed for adult numeracy. The first section consolidates the four posited Massachusetts Adult Basic Education (ABE) Math Standards into three adult numeracy themes: relevance/connections, problem solving/reasoning/decision making, and communication. A discussion of each theme is followed by some…