This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

Discusses an exploratory study that examines student interpretation of remainders in division as applied to word problems in a restrictive school setting and in a real-world, out-of-school setting. Concludes that students lack the ability to map computational results to the real-world context. Contains 16 references. (DDR)

The relationships between three types of tasks were investigated with 428 children from kindergarten through grade 6 showing that correspondence, seriation, and transitivity reflected different underlying concepts. Thus, it was concluded that neither correspondence nor transitivity tasks can serve as replacements for traditional seriation tasks in…

The informal arithmetic inventory, an informal diagnostic technique for use with elementary age students, indicates a child's specific weaknesses in arithmetic, such as inadequate concept development, poor computational skills, or inability to apply skills in a practical problem solving situation. (SBH)

The Cincinnati Public Schools' German-English Bilingual Alternative School program is discussed. The program was established in 1974 for some 200 monolingual first and second graders, and expands vertically each year to the next grade level. Tests of reading and arithmetic skills show achievement equal to or greater than regular students. (CHK)

This manual is a dictionary of some 150 errors made by students in their work in mathematics. A precise definition and examples are given for each of these errors and these, combined with a description of common causes of the error, form a background for diagnosis of student problems with arithmetic. Teaching strategies and ideas, each linked to a…

The study examined basic counting competencies, difficulties, skill progressions, and variation among 36 moderately retarded and 64 mildly retarded students (ages 5-14). Quantitative and qualitative analyses indicated deficiencies in basic counting competencies and systematic oral- and object-counting errors. Striking individual differences in…

This guide is a collection of ideas for mathematics activities which were assembled and tested by primary teachers. Activities are correlated to a mathematics curriculum for ages 7-9 years. The activities supplement the teaching of basic numeracy and include topics such as the language of mathematics, matching numbers, tracing the numbers, number…

This guide is a collection of ideas for mathematics activities which were assembled and tested by primary teachers. The activities supplement the teaching of basic numeracy and include topics such as algorithms, pyramids, magic squares, multiples, and number values. The guide is organized into four sections: (1) addition and subtraction; (2)…

This guide is linked to a science curriculum and was designed for use by those involved with early childhood education. The goal of this document is to enable caregivers and teachers to use the curriculum in a more varied, stimulating, and developmentally appropriate way. Topics discussed include student attitudes toward mathematics, parent…

This book provides a comprehensive collection of 66 teaching strategies and ideas to help overcome problems with number, each linked to a specific kind of error described in the related manual. Most of these strategies are classroom-ready and easily implemented. Some are notes for the teacher to read and then plan activities accordingly, and many…

This second progress report on the Webber School evaluation project in Urbana, Illinois, outlines radical changes which were implemented to humanize the school environment and to reverse the downward trend in academic achievement. Also described are the general evaluation plan used in the Urbana school district, and the design and instruments used…

Step-by-step directions instruct primary and elementary level resource teachers, classroom teachers, and aides who provide direct instruction to students about how to meet the individual mathematics learning needs of Oregon migrant children (9,797 eligible in 1980-81) through the technique of predrafted Individual Short-term Plan/Records. In this…

Results of nationwide studies show that standardized achievement test scores of public school children have declined since the mid-1960's, after decades of steady improvement. This seems to be true regardless of grade level, subject tested, or geographic area. Comparing Tacoma's performance with that of the nation and school systems like it as a…