Mastery Learning and Student Team Learning are two widely used instructional methods designed to confront the problem of student diversity in group-paced instruction. This study evaluated Mastery Learning, Student Team Learning, and a combination, in 43 inner-city math nine classes over a full school year. Results indicated greater achievement on…

Presented is a review of findings from research of teaching in the 1970's. It is noted most research was directed toward identifying effective instructional strategies for low achievers, and may not generalize to high achievers. Information is related to student time on task, length of school day, academic time, allocation of time to specific…

Approaches to helping students remember concepts in secondary mathematics are presented. The eleven points listed are: 1) distinguishing between natural and whole numbers; 2) remembering isosceles triangles have two equal sides; 3) finding all possible pairs of integral factors of a given number; 4) recalling the meaning of reflexive, symmetric,…

The purpose of this document is to survey at least some of the important research literature on solving linear equations in order to identify information that might suggest ways to improve teaching effectiveness. The studies that are examined employ a wide range of research techniques, are based often on quite different perspectives, and span over…

In one project phase, assessments of cognitive levels in grades seven and eight on fractions and ratio concepts were made and compared to the corresponding cognitive demands of curriculum guide objectives, authorized textbooks, teacher presentations, and teacher-made tests. Considerable gaps were found between student cognitive level and…

In this document, detailed objectives for the following courses are listed: Algebra I, Algebra II, Geometry, Trigonometry, Analytic Geometry, Advanced Mathematics, Personal Business Mathematics, and Business Mathematics. Each objective is keyed to an expected level of achievement: awareness, knowledge, application, mastery, reinforcement, and…

Presented are junior high school curriculum materials for teaching the metric system. Included are behavioral objectives, pre- and post-tests, introductory and historical material, and units on linear measurement, geometry, weight, capacity, and temperature. Each unit contains many student activities such as puzzles, fill in the blanks problems,…

The study of the non-Euclidean geometries resulting from changes in the Euclidean parallel postulate often strengthens an individual's awareness and understanding of the deductive systems of mathematics in general. Students at both the high school and college levels are frequently fascinated by the study of deductive systems such as the two…

Curriculum behavioral objectives for metric programs in grades K-8 are listed in this document. The objectives are organized according to topic and coded for grade level. The topics covered are: (1) language development; (2) comparison and ordering; (3) measurement/length; (4) measurement/volume; (5) measurement/man; (6) measurement/temperature;…

Presented is an elaboration of a course given at Moscow University for pupils in ninth and tenth grades. The development through abstraction of the general definition of distance is discussed and a class of spaces in which the notion of distance is defined, the so-called metric spaces, is introduced. The general concept of distance is related to a…

This is unit three of a fifteen-unit secondary mathematics textbook. This unit contains two chapters. The first chapter discusses integers and the second chapter discusses rational numbers. Operations with both types of numbers as well as the structure of the systems are discussed. (MK)

The two sections found in this publication, "Integrating Computer Literacy With Existing Classes" and "Guide to Computer Augmented Trigonometry," were written by participants in two summer courses at the University of Oregon. The first section addresses the general topic of teaching computer literacy through existing classes,…

The purposes of the North Dakota Statewide Assessment of Student Performance in Mathematics are: (1) to meet the public's right to know about the current status of student knowledge throughout the state; (2) to provide information and recommendations for corrective action concerning areas of student performance needing improvement; and (3) to…

This area package emphasizes three facets: (1) the concept of area as a covering; (2) the square unit; and (3) formula development. There are two enrichment activities included. The first requires the aid of a programmable calculator or computer. (Author/MK)

This module utilizes hole punching with a pencil, paper folding, rubber band stretching, and unique board models to "picture" key geometric concepts in an intuitive manner. The module is virtually self-contained, except for common classroom items which are scissors and a protractor. The introductory lesson allows for a variety of approaches for…