This unit is designed to acquaint middle school students with Pascal's Triangle. The unit is intended to be completed in small groups with a minimum of teacher direction. Students complete the activities by using manipulatives, calculators and computers and then report the results to the teacher and the class. The activities include: (1) patterns…

The National Assessment of Educational Progress (NAEP) reports on the status and progress of educational achievement in the United States. Based on its surveys, "The Nation's Report Card" provides comprehensive information about what students in the United States can do in various subject areas. The framework for the 1990 mathematics…

STARS (Secondary Training for Alaskan Rural Students) materials resulted from extensive rewriting of the Vocational Adult Secondary Training (VAST) materials produced by the British Columbia Department of Education, after those materials had been used with the 9th and 10th graders on Kodiak Island. Revision was done by teachers who had been using…

Developed for use in teaching a two-semester, one-unit course, this course guide is intended to aid the high school instructor in teaching mathematical problem-solving and computational skills to vocational education students. The state-adopted textbook for general mathematics III, "Applied General Mathematics" serves as the major…

2 STUDIES DESIGNED TO EXPLORE THE ROLE OF THE TEACHER IN THE CLASSROOM ARE DESCRIBED. THE FIRST STUDY USED ABOUT 5 HOURS OF PROGRAMED HIGH SCHOOL GEOMETRY MATERIALS. IT WAS HYPOTHESIZED THAT EFFECTIVENESS OF THESE MATERIALS WOULD BE INCREASED IF THE TEACHER ACTIVELY AUGMENTED INSTRUCTION THROUGH REPHRASING DIFFICULT ITEMS, ADDING EXAMPLES, WORKING…

Bloom has argued that most students, not just a few, should be able to do top quality school work if given appropriate instruction. Mastery learning, which includes frequent diagnostic testing followed by remedial instruction, has been proposed as an effective strategy for increasing pupil achievement. In this study, teachers used a mastery…

A total of 100 3- and 5-year-old children were trained and assessed individually on the concept of equilateral triangle at three levels of attainment: concrete, identity, and classificatory. Five training conditions existed: (1) visual inspection; (2) visual inspection and verbal orienting instruction; (3) visual inspection, free haptic activity,…

This teacher's guide and student guide are designed to accompany a mathematics textbook that contains supplemental readings, activities, and methods adapted for secondary students who have disabilities and other students with diverse learning needs. The materials are designed to help these students succeed in regular education content courses and…

Describes five skills underpinning the understanding of geometry for primary and lower secondary mathematics students. Skill categories identified include (1) visual; (2) verbal; (3) drawing; (4) logical; and (5) application. Gives examples of skills appropriate for Van Hiele levels 1-3. (MDH)

Presents a series of four worksheets to develop students' perception of spatial relationships. The tasks require students to use cubes to build models and describe the models by representing the front, right, and top views on grid paper. Provides reproducible worksheets. (MDH)

Identified and classified solution strategies of (n=49) 10th-grade students who were presented with linear programming problems in a predominantly visual setting in the form of a computerized game. Visual strategies were developed more frequently than either algebraic or mixed strategies. Appendix includes questionnaires. (Contains 11 references.)…

Offers 3 teaching designs developed for 12- to 16-year-old pupils taking into account personal differences in gender, culture, knowledge, and use of calculators. The designs concern the representation of three-dimensional objects in the plane, directions and great circles on the sphere, and exploration of the integrating calculator. (Contains 31…

This "Instructor" Supplement on middle school education, presents articles on new research and materials, adolescent development, reasons for teaching middle school, moving toward a middle school curriculum, peer teaching, multimedia software, murder mysteries, ancient China, geometry, teamwork, descriptive writing, literature, problem solving,…

This year the Center on Education Policy analyzed data on the achievement of different groups of students in two distinct ways. First, it looked at grade 4 test results to determine whether the performance of various groups improved at three achievement levels--basic and above, proficient and above, and advanced. Second, it looked at gaps between…

Data from the 1980 High School and Beyond (HSB) study are used to examine the variables associated with the grades that college-bound high school sophomores received in English, algebra, and geometry courses. Special concerns included determining if gender differences in high school grades could be explained, and how teachers' perceptions of…