Describes a learning system developed at Wirral Metropolitan College (UK) for self-access language provision, linked to a competence accreditation scheme. The competency-based approach is suited to languages because it offers a measure of built-in accountability. Flexible workshop provision is an effective means of delivering languages to a broad…

Presents a study that indicates that second grade students (n=117) do select manipulatives that match the story context in measurement and partition division word problems, that they can solve division word problems, especially when matched manipulatives are used, and that division without remainders are more accessible to solution. (39…

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)

Presents findings of a 1988 study of 104 middle school students, examining the relationship between learner style preference and instructional grouping. Identifies preference groups: learning alone, learning with peers, or no preference. Finds that students performed equally well on four social studies lessons when instructional strategy matched…

Educational practices with students in both regular and special education that have stood the tests of time, research, and application are described. They include peer tutoring; direct instruction; cooperative learning; self-instructional training; curriculum-based measurement; instructional alignment; and learning strategies. (DB)

The story of a six-year-old boy's use of language, art, and mathematics is used to describe a mathematics literacy curriculum. Educators' current views about mathematical literacy are briefly discussed. (BB)

Presents two spreadsheets for middle school students applying Polya's heuristic to help develop number sense, reasoning abilities, and problem-solving skills. Spreadsheet 1, "the coin problem," allows students to vary coin quantities to total $8.32. Spreadsheet 2, "ratios," develops number relationships while finding 3 3-digit…

Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)

Describes and illustrates the Monomial Sums Approach, a graphical learning strategy, facilitated by microcomputer capabilities that allow easy manipulation and exploration of graphical representations of polynomial functions. Reduces emphasis on memorized rules in favor of qualitative understanding of functional behavior, visualization of…

Presents three features of "Good" questions: requires students to do more than simply remember a strategy to answer; promotes student learning while answering the question; and have several acceptable answers. Considers how questions can be used to cater to the range of student abilities. (MDH)

Presents results of 46 randomly selected children's performance measurement and partitive division problems when remainders are zero, nonzero but not used in the solution, and nonzero and used in the solution. Results indicate that children demonstrate an understanding of division prior to formal instruction. (MDH)

Describes several techniques that have been used in a variety of college mathematics classes to shift the classroom experience from instructor-centered to student-centered. Discusses specific applications of these techniques to remedial mathematics, precalculus, liberal arts mathematics, calculus, and geometry classroom settings. (40 references)…

Describes an intermediate level, college geometry course that is designated as both writing and speaking intensive. Suggests methods that utilize writing and speaking activities to enhance student learning, and discusses student reactions to the course. (nine references) (JJK)

The third in a series of 3 articles, a study of 30 students was conducted to test the effect of restructuring a unit on trigonometric identities around microcomputer activities based on the themes of educational undercurrents identified in Part II. Experimental-group students scored significantly higher relating trigonometric functions to their…

Reports a study of British teachers' and students' perceptions of effective teaching and learning. Researchers observed and interviewed 13 teachers and 235 students (ages 11-12 years) and found considerable agreement about what constituted effective teaching and learning. Both groups believed learning opportunities were heightened by the use of…