The idea that studying part-whole number relationships can foster a better understanding of number concepts, addition, subtraction, fractions, decimals, ratios, and percentages depending on the age of the student is discussed. Activities that incorporate number relationships and representations are presented. (KR)

This study, involving 9 students (ages 8-11) with learning disabilities, found that 1 session of self-instruction training was not sufficiently powerful for students to learn a strategy for solving arithmetic problems, but a second session and access to tape-recorded cues resulted in improved performance. Effects did not generalize to student…

As recent research efforts have focused on preventing reading difficulties and enhancing the effectiveness of special education services for students with reading problems, similar efforts in mathematics have not been realized. This article describes the development and preliminary field testing of a set of measures designed to screen students in…

This article examines students' ability to use the balance model to solve for unknowns. A teaching experiment was conducted in four Year 3 classrooms. This experiment focused on exploring the application of the balance model as an analogue for representing equations and solving for unknowns. The teaching experiment promoted a shift by students…

In order for schools to help students with learning difficulties and disabilities improve their achievement in mathematics, educators, researchers, practitioners, and policymakers need a better understanding of the evidence based on what is behind these students' difficulties in learning math. That is just what they will get with this landmark…

Beginning in February 1994, twelfth-grade students who have passed the Ohio Ninth-grade Proficiency Tests in all areas will take the Twelfth-grade Proficiency Tests in writing, reading, mathematics, and citizenship. This fact sheet describes the Twelfth-grade Proficiency Test in mathematics, which is designed to measure a twelfth-grade level of…

Developed as part of a National Workplace Literacy Program, this lesson focuses on terms and mathematical operations associated with Statistical Process Control (SPC) in the foundry industry. With appropriate assistance and preparatory work, workers testing between grades 4 and 9 on the Test of Adult Basic Education Locator should be able to use…

Prior research on learning has been linked to instruction by the derivation of general principles of instructional design from learning theories. However, such design principles are often difficult to apply to particular instructional issues. A new method for relating research on learning to instructional design is proposed: Different ways of…

This is volume 6 of the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. This book contains both a theoretical examination of the connection between instruction and the development of children, and experimental data on a definite…

These materials were developed in the course of research on "Cognitive Growth through Peer Collaboration." Materials were developed and adapted for teaching spatial reasoning and logical reasoning to fourth grade students. The document contains: (1) descriptions of the various tasks involved; (2) outlines of each of the activities which were…

A manual and workbook for students of the Karuk Indian language features practice exercises and answers for numbers 1-100. Exercises include writing the Karuk numbers, addition, arranging smallest to largest, and counting by 10s. A chart of the Karuk Unifon alphabet and pronunciation guide is included. (LFL)

An emerging focus of elementary and secondary mathematics instruction is on problem solving. This study examined an instructional approach for teaching children with learning disabilities how to solve arithmetic word problems. The study was conducted with 60 fifth and sixth grade students who had previously been identified as learning disabled.…

This instructional manual consists of 11 competency-based units for a mathematics course for trade and industrial programs in Texas. Each instructional unit includes the following basic components: unit and specific objectives, notes to the instructor (outline of steps to follow in accomplishing specific objectives), information sheets,…

This issue of the newsletter focuses on the teaching of mathematics to mildly handicapped students. The feature article reviews the theory of generalization and its application to specific practices in teaching arithmetic. A set of six-step guidelines is offered for the teacher to follow in ensuring that generalization of arithmetic skills takes…

In the 1980-81 school year, the Title I program in Lafayette Parish, Louisiana, initiated research into the effectiveness of computer-assisted instruction (CAI) for mathematics in grades 3-6. Children from two lower socioeconomic area schools, who were one or more years below grade placement but were already making gains of 6-9 months due to an…