This report summarizes the work of a two-year project which focused primarily on the problems that students have with algebra in general, and graphs in particular. The first of two major sections in the document deals with the use of computer software to assist in the teaching of graphing. It concludes that thoughtful design and use of graphing…

This document contains curriculum specifications for grade 9. Objectives are grouped under seven broad topic areas. For each objective and each topic area a percent of emphasis is given. The broad topic areas and percent emphasis for each of those areas are: (1) number systems, 22 percent; (2) ratios and proportions, 10 percent; (3) measurement, 6…

This report considers how the mathematical knowledge children develop on their own outside of formal school instruction can be used to increase the distribution and level of mathematical knowledge attained by students in grades K-3. Included are preliminary results of an investigation of the counting and calculating abilities brought to…

As a result of a report from the National Commission on Excellence in Education recognizing the crisis in science, math, and technology training, and the increasing need for skilled manpower critical to economic growth and national defense, the federal government has proposed several bills for educational advancement. The President has signed into…

This document outlines a theory of learning and education for the teaching of mathematics. The theory is termed a cognitive taxonomy. The taxonomy, developed over a 15-year period, is based on the connection between mathematical material and pupils' reactions to it. The function of this connection is termed a process. The taxonomy is based on the…

This document analyzes one chapter of a textbook for college remedial mathematics. This analysis is done by one of the textbook authors. The chapter under discussion deals with fractions. The text authors, writing from a constructivist perspective, attempted to write problems which not only developed specific conceptual and heuristic objectives…

The parents' role as teacher is important to a child's learning process. Parents tutoring their children are advised to remain positive and patient, be aware of the child's feelings, keep the tutoring time short, select a quiet place away from distractions, use games and manipulative objects rather than more abstract experiences, etc. Informal…

This paper suggests the importance of considering factors outside of the classroom in accounting for the presence of inquiry, and identifies some of these factors. The conclusions are based upon a study of staff developers and teachers who took part in the Bank Street College Mathematics, Science and Technology Teacher Education project.…

This manual outlines an advanced mathematics course for secondary school students in Manitoba (Canada). Included are eight different topics for a total of ten modules, with each module accounting for 18 40-minute periods. Teachers, or teachers and students cooperatively, should select the equivalent of five modules from the eight topics covered.…

Research on Teacher Education was the theme for the plenary sessions of the eighth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. More than 50 papers were selected for presentation at the conference. These papers are grouped into seven categories in these conference proceedings.…

A 3-phase project to adapt, develop, and evaluate computer-aided instructional materials in elementary education basics (specifically word recognition, reading comprehension, and mathematics) for Alaska Native and American Indian students included in its design and planning phase a conference with project staff and six nationally recognized…

This report covers the activities of the Knox County Mathematics Basic Skills Improvement Project from September 1980 to September 1982. The purpose of the project was to raise the level of student performance in the basic skill area of mathematics in the Knox County School System through the development of a restructured curriculum for grades…

The 1983-84 State Compensatory Education (SCE) Program in the Austin Independent School District included several components at the elementary and secondary levels. In 18 elementary schools, 16 full-time and one half-time SCE teachers provided assistance to students at or below the 30th percentile in either language arts/reading or math.…

The curriculum guide is for levels G and H of the mathematics segment of Chicago's bilingual education program for limited-English-speaking native Italian-speaking students. It includes specific instructional objectives and worksheets for teaching the mathematical concepts of place value, whole numbers, rational numbers, measurement, geometry, and…

This is one of a series of monographs developed by teachers in elementary schools near Leeds, England. This document focuses on structure and place value. Slow learners in particular need concrete experiences designed to introduce and later consolidate the idea of place value, and with this in mind several activities proven successful with slow…