A unit of study that introduces collecting, representing, describing, and interpreting data is presented. Suitable for students in grades 4 through 6, it provides a foundation for further work in statistics and data analysis. The investigations may extend from one to four class sessions and are grouped into three parts: "Introduction to Data…

Mathematics learning objectives and specifications for third graders, which are congruent with the Texas "State Board of Education Rules for Curriculum," are presented. They are designed for use by teachers and test development specialists involved with the preparation of the Texas Educational Assessment of Minimum Skills (TEAMS) tests.…

This fourth yearbook on research on mathematics teaching in Finland contains five articles, four in English and the fifth in German. "Mathematics as a Cognitive Science" (C. Letteri) examines cognitive aspects related to teaching and learning mathematics, with the focus on the different levels of comprehension and an analysis of basic…

This learning module provides students with practice in applying mathematical operations to vocational agriculture. The module consists of unit objectives, definitions, information, problems to solve, worksheets suitable for various levels of vocational agriculture instruction, and answer keys for the problems and worksheets. This module, which…

This learning module provides students with practice in applying mathematical operations to vocational agriculture. The module consists of unit objectives, definitions, information, problems to solve, worksheets suitable for various levels of vocational agriculture instruction, and answer keys for the problems and worksheets. This module, which…

This booklet is intended to assist tutors in helping transitional and low-level adult basic education (ABE) students acquire the math skills required to make a successful adjustment to regular ABE classes. The exercises provided are intended primarily for use in student-tutor learning teams, with students gradually completing greater portions of…

This report was part of the total scope of The Microcomputers and Middle School Problem Solving project. It employed representational models during problem solving in order to study: (1) observable patterns in self-directed use of representational models; (2) correlations between use of models and problem-solving ability; and (3) the motives of…

Details are provided of a project designed to develop an alternative, computer-based learning unit in mathematics and science for upper-elementary level Pueblo Indian students. A four- to six-week unit entitled "Pueblo Uses of Energy," which fused mathematical problem solving with science content related to the daily lives of Pueblo…

This guide outlines an Option Y course, which has seven learner objectives geared to providing students with an introduction to the concerns and methods of statistics and equipping pupils to deal with the many statistical matters of importance in society. Topics included in the course are graphs and charts, collection and organization of data,…

This document points out the numbers of students who have difficulty in their required college mathematics courses. The four common syndromes identified with pupils who were experiencing a lack of success in mathematics were: (1) a lack of an adequate college or high school background in mathematics; (2) the tendency to feel that because they…

This study was designed to investigate the relationship between the level of conservation of displaced volume and the degree to which sixth-grade children learn the volume algorithm of a cuboid, namely, volume equals weight times length times height. The problem chosen is based on an apparent discrepancy between the present school programs and…

This USMES unit challenges students to construct practical shapes which can be used as dice to make a fair decision between two or among three, four, or more choices. The teacher resource book for the Dice Design unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems,…

THE FACTORS RELATED TO UNDERACHIEVEMENT AND LOW ACHIEVEMENT IN MATHEMATICS LEARNING WERE STUDIED. USING AN INDIVIDUAL CLINICAL APPROACH, THE STUDY WAS CONDUCTED WITH TWO SAMPLE GROUPS, 12 UNDERACHIEVERS AND 11 LOW ACHIEVERS, IN GRADES 4-6. SCORES WERE OBTAINED ON CONCRETE, SEMICONCRETE, AND ABSTRACT REASONING LEVELS FOR THE MATHEMATICS EDUCATION…

This study examined the effects of level of instructional scaffolding on students' use of Geometer's Sketchpad and other software tools in a technology-integrated geometry curriculum. In order to revitalize education at the secondary level and in particular in the mathematics curriculum, educational reformers have advocated the incorporation of…

This booklet is designed to be used with a video of the classroom of second-grade teacher Victoria Bill. The 40-minute video shows the teacher using a variety of manipulations, facilitating both large- and small-group discussions, and applying a problem-solving approach to math. The text in the booklet is based on spoken comments made by observers…