Intermediate-level students (n=41) with learning disabilities, regardless of initial attitude or the type of program (game or drill-and-practice) used, significantly improved their arithmetic facts proficiency after four sessions of computer-based practice. The game format had a facilitative effect on continuing motivation of students with low…

A series of activities involving figurate numbers that allow students at various levels to integrate numerical, geometric, arithmetic, patterning, measuring, and problem-solving skills are presented. A discussion of the geometric and numerical aspects of figurate numbers is included. Appended are IBM Logo procedures that will create pentagonal…

Shortcomings of mathematics curricula are described and research on the use of sameness analysis with learning-disabled and at-risk students is outlined. The paper then illustrates how to teach addition-subtraction and multiplication-division relationships and their interrelationships in the context of solving word problems in mathematics.…

In early algebra students often struggle with equation solving. Modeled on Streefland's studies of students' own productions a prototype pre-algebra learning strand was designed which takes students' informal (arithmetical) strategies as a starting point for solving equations. In order to make available the skills and tools needed for manipulating…

This research focuses on eliciting bilingual students' problem-solving reasoning by providing mathematical tasks designed to involve the students in the action described in the problem by making connections to contexts familiar to them. Results showed these tasks allowed children to articulate their mathematical reasoning through gestures and…

The development of the place value system and its universal use demonstrate the elegance and efficiency of mathematics. This paper examines the concept of place value by: (1) presenting the historical development of the concept of place value in the Hindu-Arabic system; (2) considering the evolution of the number zero and its role in place value;…

The report lists competencies for teachers in every day interactions with learning disabled students. Developed by a task force, the competencies are intended to serve as general guidelines. Information is presented on the goal, assessment competencies, and instructional competencies for the following areas: classroom management, spoken language,…

This guide contains six sections which offer suggested sequential steps for teaching addition, subtraction, multiplication, division, fraction concepts and algorithms, and decimal fractions. Based on the manipulative approach, the guide offers activities and teaching methods which give students many opportunities to work with models. This approach…

This document presents an overview of legislation and actions resulting in the passing of Public Law 94-142, the Education for All Handicapped Children Act, and presents information of use to school personnel in mainstreaming. The document's first section traces the history of the treatment of handicapped individuals by society since the…

This textbook aims to (1) train the pupil in that part of arithmetic used in everyday business which he can understand; (2) develop his skill in rapid calculation by short cuts and time tests; (3) show the necessity for checking, and develop the habit of checking; (4) develop the habit of thrift by planning budgets, keeping accounts, and becoming…

FOUR HYPOTHESES WERE CONSIDERED DURING THIS EVALUATION STUDY, NAMELY THAT THE TEACHING OF ARITHMETIC IN GRADES 4, 5, AND 6 BY THE MADISON PROJECT WILL--(1) PRODUCE AS GREAT AN INCREASE IN ACHIEVEMENT AS THE METHOD COMMONLY PRACTICED, (2) PRODUCE A GREATER INCREASE IN ALGEBRAIC APTITUDE, (3) PRODUCE A GREATER INTEREST IN MATHEMATICS, AND (4)…

Contains activities for grades 1 through 8 to develop skills in estimation. Designed to help students deal with numbers sensibly and acquire problem solving competency, the estimation activities involve measurement, telling time, computation, and problem solving. (PK)

This book is a teacher's resource guide designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include whole numbers; decimals and money; fractions, ratios,…

Variation in syntactic difficulty in arithmetic problems is studied to determine its influence on students' ability to solve problems correctly. Findings in a study of elementary school students indicated syntactic difficulty affects problem solving ability, regardless of sex (f=fiche number). (MH)

The "class trap" is defined as the problems which can arise when all students in the class are required to progress at the same rate. To illustrate this concept, a case study is presented of arithmetic instruction in a single class, then strategies to avoid the trap are outlined. (SJL)