In connection with the new SAT that was introduced in March 2005, research has been under way to investigate the feasibility of providing examinees with score reports that contain feedback on skills measured by the critical reading, mathematics, and writing sections of the test. The main purpose of this study was to estimate the reliability of the…

Explains how the Mathcad computer program can promote the development of higher-order chemical thinking skills of students taking junior-level physical chemistry courses. The kinetics of first-order series and reversible reactions is used as an example of how this can be implemented within an interactive laboratory or lecture format. (PVD)

Asserts that monetary incentives will not induce teachers to take on difficult jobs in impoverished urban schools. New York City's Extended Time Schools have an extra 40 minutes each school day to be used for small group instruction and professional development. This initiative is turning around the toughest schools with the most challenging…

Describes a pilot study of computerized adaptive testing in the Michigan Educational Assessment Program's tenth-grade mathematics problem-solving and applications subtests. Comparisons are made to pencil-and-paper tests, and student reactions as determined by a posttest survey are discussed. (LRW)

Presented are several consequences of Ceva's theorem which deal with ratios of segments formed when a parallel to one of the sides is drawn through the point of concurrency. The proofs of these theorems are included and are of varying degrees of difficulty. (KR)

Examines the relationship between pupil characteristics of income, gender, chronological age, and level of cognitive development and selected domain-specific skills in mathematics. Results show mathematics performance as a function of the quality of thinking. Teaching to cognitive developmental level requires an individualized approach to…

Discussed are ways in which students can generalize both quadratic or cubic situations. Generalizations are produced using the factor method, repeated linear generalizations, means of the mean, and through the use of differences. (KR)

Reviewed 12 currently available mathematics assessment tools to determine whether they would be appropriate for use in a college-level mathematics clinic. Tests were assigned to two domains: cognitive and mathematical content. Major deficiencies of the tests are cited. (Contains 15 references.) (MDH)

Presents practical, teacher-tested tools and techniques based on National Council of Teachers of Mathematics (NCTM) standards for teaching mathematics. Covers Cognitively Guided Instruction (CGI) technique; story problems across the curriculum; advantages of using calculators in instruction; and manipulatives for plane geometry. Includes a chart…

Describes a study by British researchers that attempted to describe progression in learning in terms of a common framework for all students. Elementary school students completed periodic interviews while being taught measurement skills. Results found a wide spread of attainment in measurement in each age range but less clear progression between…

Thirty-six Korean first graders were interviewed to study their ability solving addition problems with sums of 10, single-digit sums between 10 and 18, and subtraction problems with minuends between 10 and 18. Finger methods to show sums over 10 and the regular named-10 Korean number words supported their learning of 3 efficient recomposition…

Infants' visual recognition memory (VRM) at seven months was associated with their general intelligence, language proficiency, reading and quantitative skills, and perceptual organization at six years. Infants' VRM, object permanence, and cross-modal transfer of perceptions at one year were related to their IQ and several outcomes at six years.…

Describes the method to solve problems called T-E-M-T-T: trial, error, and modified trial through technology. The method integrates students' skills of estimation, mental computation, and appropriate choice of calculator use. Includes 2 activities for each of grades K-4 and 5-8 that illustrate the method. (MDH)

Described are activities that use a hundred chart to improve student abilities to recognize and describe number patterns, to use variables, to make and informally prove conjectures, and to communicate mathematical ideas to classmates. Included are the directions, four reproducible student sheets, the answers, and extensions. (KR)

Discussed is how the concept of equivalence can relate various segments of a mathematics program and help students develop an appreciation of the unity of mathematics. Activities and examples of equivalence at all grade levels are included. (KR)