Describes a study of the effect of teachers' verbal feedback on the ability of bilingual sixth graders to solve mathematical word problems. Treatment was based on Mayer's model of problem solving. Results indicated that theory-based feedback targeted to bilingual students' individual and class needs improved student mathematics performance. (GH)

Describes Louisiana's "Every Day Counts" program which helps boost elementary students' math skills via daily 10-minute activities with their bulletin board. The school calendar is used to explore patterns, examine data, and make predictions. Children work with place value, measurement, time, money, mental math, geometry, estimation,…

The focus of this article is patterns and pattern making using geometric figures. Included are sequentially planned activities for K-8 students that help them first to discover the attributes of various figures and later how to combine these figures into patterns. Finally, this information is applied to real world activities such as quilting and…

Subsequent to commentary that the most feasible locus for curricular change and instructional reform is the individual school, four models for change that implement the NCTM's Curriculum and Evaluation Standards are presented. These models are not offered as panaceas but rather as examples of efforts currently being utilized which may involve…

Three activities are presented to assess the level of students' geometric understanding according to van Hiele learning model. The activities--Descriptions, Minimum Properties, and Class Inclusion--are applied to the example of classifying quadrilaterals as squares, rectangles, rhombi, or parallelograms. Implications of this assessment are…

The harmonic mean, neglected in favor of arithmetic and geometric means in modern mathematics, is defined and its historical relationship to music as presented by Pythagoras is described. Two geometric constructions present a picture of harmony, and an application in calculating the square root of a number is given. (MDH)

Mathematics educators have led the educational reform movement in recent years. New curricula and innovative teaching methods are emerging in elementary and secondary programs, as illustrated by the work of the College Board, University of Chicago, University of California at Berkeley and San Francisco, and the National Science Foundation. (MSE)

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…