This publication contains the Applied Mathematics Curriculum (Drafting) for grades 11 and 12 for the Cincinnati (Ohio) Public Schools. The curriculum is part of a larger program (the Applied Academics Program), which emphasizes the integration of mathematics and the language arts with vocational content. Included in the document is a description…

This planning paper reviews the topics that are pertinent to a conference action group on mathematics in adult, technical, and vocational (including distance) education. The first section of the paper provides an overview of the need for and current practices for providing mathematics instruction in vocational-technical, adult, and distance…

The dual purpose of this study was (1) to design instruction in problem representation and solution of algebraic word problems in order to improve the algebraic problem solving skills of learning disabled (LD) adolescents; and (2) to devise and evaluate the effectiveness of instructional procedures for teaching LD adolescents to represent and…

This issue contains abstracts and critical comments for 11 published reports of research in mathematics education. The reports are concerned with: (1) the development of counting strategies; (2) a structural model for mathematics achievement for men and women; (3) teaching children to subtract by counting up; (4) teaching children to add using…

The study provides: (1) a rationale for using microcomputer spreadsheet programs as teaching tools in applied statistics courses; (2) examples of one spreadsheet template--Analysis of Variance; (3) corresponding workbook exercises for the ANOVA template; and (4) results and discussion of how the exercises are used in an introductory statistics…

This document includes a statement of 11 basic considerations for a mathematics curriculum for the gifted in grades two through eight and a series of activities appropriate for such a curriculum. The activities are grouped under five strands: (1) logic; (2) combinations (combinatorics), probability, introduction to statistics; (3) geometry,…

This study is an annotated bibliography of literature dealing with the effects of teaching mathematics by mastery learning. It is subdivided into four areas: History and Development of Mastery Learning; Mastery Learning, an Alternative to Traditional Instruction; Implementation of Mastery Learning; and Studies of Mastery Learning in Mathematics.…

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.…