The NCTM Standards present a picture of classroom instruction different from present practice in secondary schools. Presented are three instructional practices: (1) presenting open-ended problems, (2) communication of ideas, and (3) probing for diversity and recommendations for restructuring mathematics instruction based on the California…

Doing mathematics includes the activities of making observations, searching for patterns, formulating conclusions called conjectures, and verifying these conjectures. Presented is an activity that develops pattern discovery and measurement skills using a protractor, compass, and ruler by drawing various stars. Appropriate worksheets and directions…

Shared are two strategies that can be used to encourage and motivate students. The first uses innovative approaches to evaluating student achievement by offering retests and bonus problems. The second introduces music in the classroom to create an atmosphere conducive to learning and integrates the music into mathematics lessons. (MDH)

Presented are three methods to enrich the mathematics classroom. The first introduces an activity allowing students to discover the law of sines. The second gives eight distance-rate-time problems of value for their counterintuitive or elegant solutions. The third poses multiple answer questions that promote student interaction and communication.…

Presented is a teacher's guide for a hands-on activity challenging students to develop problem-solving behaviors by exploring the construction of a right-cylinder of maximum volume from an m x n sheet of metal. Reproducible worksheets leading students through the activity are provided. (MDH)

From the equality of the ratios of the surface areas and volumes of a sphere and its circumscribed cylinder, the exploration of theorems relating the ratios of surface areas and volumes of a sphere and other circumscribed solids in three dimensions, and analogous questions relating two-dimensional concepts of perimeter and area is recounted. (MDH)

The Summer Mathematics Enrichment for Minority Students program was piloted during 1990 by the Texas Academy of Mathematics and Science at the University of North Texas. The program provided 19 mathematically talented minority junior high students with rigorous academic instruction, role models, on-campus residence, and social/recreational…

Describes the use of Keller's Personalized System for Instruction with the addition of videotapes, interactive videodisc, and computer-delivered tutorials in an undergraduate mathematics course. Modifications of Keller's plan for British universities are discussed, examination results are studied, and the quality of the learning experience is…

Examples of high school case studies are used to illustrate prototypical mathematical images and the use of imagery in metaphoric and metonymic ways in mathematics. Discusses pattern imagery and other types of imagery as central components in a model of mathematical reasoning. (34 references) (MDH)

The influence that number naming grammar has on the understandings of two-digit numbers and place value of kindergarten children of European and Asian background was examined. Results indicate that Asian verbal/numerical representation patterns naming tens and units in order may be associated with distinctive place value concepts that support…

Presents an activity in which students develop their own theorem involving the relationship between the triangles determined by the squares constructed on the sides of any triangle. Provides a set of four reproducible worksheets, directions on their use, worksheet answers, and suggestions for follow-up activities. (MDH)

Seven chapters consider what learning is and what counts as learning in the context of formal schooling. How qualitative research assists in this examination is explored. Qualitative research is an indispensable tool in the repertoire of research approaches that will illuminate learning discourse. (SLD)

Compared the effects of using various computer software programs on the attending behavior of children with attention-deficit hyperactive disorder (ADHD). Found that the attention of ADHD children increased while they used software with a game format when animation was not excessive. Other factors affecting nonattending behaviors included the…

This paper describes the use of cooperative groups in teaching calculus. It discusses benefits and drawbacks of group techniques and presents reactions from both students and the author. (Author)

Provides a profile of Abdulalim Shabazz and his philosophy and practices relating to excellence in mathematics education. Highlights include his career at Clark Atlanta University; graduate mathematics students; teaching students based on need rather than test scores and background requirements; and gender equity in higher education, especially…