This paper examines the learning needs of 35 Grade 1 children and 60 Grade 2 children who were identified as vulnerable in their number learning on the basis of a clinical interview and reference to a set of research-based growth points. All children were selected for an intervention program that aimed to accelerate learning in four number…

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 report examines the current state of research on the achievement outcomes of Success For All, a program built around the idea that every child can and must succeed in the early grades, no matter what this takes. Success For All uses everything known about effective instruction for students at risk to direct all aspects of schooling and…

This report aims to address concerns regarding the need for developmental education in mathematics in the higher education institutions in Texas. Fifty-three million dollars of the $93 million appropriated for developmental education in Texas in 2002 went to mathematics. About 40% of new students in two-year colleges and 20% of new students in…

Hypothesizes that exploring the mathematical ideas behind mathematical terms enables children to gain insight into the structure of a number system and provides a basis for powerful playing with this structure. Describes visualizing mathematical ideas for exploring aspects of mathematics. Offers rectangular numbers to link and explore structures…

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)

Discussed are the need for standardized tests and the changes that will be needed for their proper implementation. The use of calculators on tests is advocated. Computer and calculator delivered examinations are also discussed. (KR)

Discussed are reasons why games should be included in the mathematics curriculum at all levels. Presented are arguments for this position and ways of enhancing the use of games in the learning of mathematics. Included are a definition of a mathematical game and types of mathematical games. (KR)

Described is an areawide event presented annually to encourage positive attitudes about mathematics. Discussed are presentations, ongoing activities, evaluation, and planning associated with the event. Over 125 references are listed. A list of sources of supplies is included. (CW)

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)

Results are presented from two intervention studies which investigate whether encouraging elementary students to generate drawings of arithmetic word problems facilitates problem-solving performance. Findings indicate that fifth graders (N=50) generated many drawings of word problems and improved problem solutions after the intervention, whereas…

Outlines the development of a lesson structured around four stages of problem-solving. Provides five problems and questions for understanding, getting started, and for extension in each of the problems. (YP)

Discusses the use of computer spreadsheets to prepare questions from a problem. Presents three sample problems, templates, and questions. Provides a list of available spreadsheet programs. Lists five references. (YP)