Presents the views of a fifth grade teacher that students from low-income families should learn to appreciate mathematics for its relevance in their lives and that application and critical thinking are the most prominent features of mathematics learning affected by California's efforts to change mathematics teaching. (BB)

Norms of undergraduate teaching behavior were examined in a survey of 302 biology, history, mathematics, and psychology faculty in 2 institution types, research universities and comprehensive colleges. The study investigated the perceived impropriety of specific planning, in-class, interpersonal, curricular, and testing practices. The survey…

Explores the use of dialogue and dramatization to reconstruct the formation of mathematical concepts. An appendix provides the synopsis of a 6-scene play that portrays the rise of negative numbers over a period of 300 years. (MDH)

Asserts that college students lack understanding of the concept of function. Based on an epistemological theory, offers an instructional treatment using computers that presents a process concept of function and results in substantial improvements in student understanding for many students. (29 references) (MDH)

Presents 5 school and home activities for the K-2, 3-4, 5-6, and 7-8 levels appropriate for beginning the school year that incorporate problem solving, collecting and analyzing data, and exploring patterns. Topics include a shopping spree, seat assignment, map-interpretation skills, and probability. Includes reproducible worksheets. (MDH)

Shares an experience from a mathematics methods course for elementary teachers that used concrete materials to teach the concept of rounding in different bases. Discusses how this experience modeled recommendations by the NCTM "Professional Teaching Standards" in creating classroom climate and conducting discussion. (MDH)

Describes a problem to challenge students as they come back from summer vacation. Working in small groups, students discover Pick's Theorem, the formula to calculate the area of a polygon constructed on a geoboard. A writing assignment evaluates the students' efforts. (MDH)

Investigated why, contrary to expectations, group performance in a written test of problem solving was not better than individual performance. Examined protocols of students solving problems in groups and concluded that in much of the group discussion, students passed over right ideas in favor of simpler, but erroneous, ideas. (14 references) (MDH)

Describes "talk-through" model of peer teaching in which student pairs are asked to verbalize their thinking processes as they work through a mathematical problem. Lists five benefits of using this method. (MDH)

The relationship between a teacher's knowledge of mathematics and instructional practice was investigated by videotaping an experienced fifth grade teacher giving a lesson on functions and graphing. A subject-matter knowledge interview and card sort task were used with the teacher and a mathematics educator, indicating areas of weakness. (SLD)

A 50-state survey was conducted to determine state indicators of quality of science and mathematics instruction in elementary schools. Data are summarized for (1) policies affecting amount of instruction; (2) state requirements for science and mathematics teacher certification; and (3) state testing programs in science and mathematics. (SLD)

Describes an early childhood program designed to increase children's school success in attaining key math, language, and computer learning concepts and skills. Used home visits, parent training sessions, teacher-parent conferences, a home learning center, and a computer home-loan program to strengthen parent involvement in their child's education.…

The quadratic function can be modeled in real life by a suspension bridge that supports a uniform weight. This activity uses concrete models and computer generated graphs to discover the mathematical model of the shape of the main cable of a suspension bridge. (MDH)

Discusses the rationale and use of problem fields which are sets of related and/or connected open-ended problem-solving tasks within mathematics instruction. Polygons with matchsticks and the number triangle are two examples of problem fields presented along with variations in conditions that promote other matchstick puzzles. (11 references) (JJK)

Illustrates where several unexpected patterns of antiderivatives can be realized during calculus instruction via the application of integration by parts to the exploration of particular members of families of functions. (JJK)