This program is designed to enable students to master the competencies and skills which reflect the learning goals and objectives developed by the Illinois State Board of Education. This document lists the learning objectives by grade level and reporting period for kindergarten through grade three. Topics included are arithmetic, measurement,…

This curriculum guide lists mathematics topics and concepts, learning outcomes, and sample learning objectives (in three columns) for grades 1 to 8. Topics/concepts, in the first column, describe the major parts of the subject under consideration. They define broadly the content to be included in the study of each subject area. Learning outcomes,…

This document was written to provide school systems with a bibliography of suggested resources which would support Project Basic Instructional Guides. The material consists of annotated listings of student use materials, such as library books, films, filmstrips, kits, records, games, audio and videotapes, filmloops, transparencies, periodicals,…

Evidence suggests that victims of mathematics anxiety suffer from a poor self-concept regarding their mathematical ability. A 27-item attitude scale was developed reflecting attitude toward one's ability to learn mathematics. This scale was administered to 92 students taking a required statistics course, along with the Mathematics Anxiety Rating…

After decades of neglect, adult numeracy and mathematics education are coming to be recognised as worthy of serious research but the area is beset by conceptual difficulties. Adult numeracy and mathematics may at last be "on the educational research map", but where exactly are they on the map? This article explores the question of what…

This study sought to identify prerequiste concepts for a child to perform length measurement meaningfully. Conservation of length and use of transitive reasoning were major areas identified. Implications for teaching are given, especially concerning the use of a number line as a model for presenting arithmetic operations. (LS)

This paper examines the theoretical difficulties inherent in basing social investment decisions solely on considerations involving the additional tax payments and tax receipts the investment generates. Although the conceptual issues raised are quite general and could be applied to a wide variety of government financed investments, emphasis is on…

Instruction on properties of whole numbers, the meanings of operations on whole numbers, symbolic representation and algorithms for completing these operations is discussed. Many activities appropriate to each of these topics, and suitable for primary school children, are presented. (SD)

Presents the pro and con of the use of calculators in the classroom. Some feel that calculators make learning mathematics more fun and when used for creative problem solving provide student motivation. Others feel that dependence on the calculators will result in students unable to do simple mathematics on paper. (GS)

A selected bibliography of research studies and books related to mathematics and early childhood education. Studies cited pertain to the development of mathematical thought in children, teaching strategies, age-appropriate mathematical content, and assessment and evaluation of mathematical learning. Only materials published in the last five years…

Suggested are investigations for junior and senior high school students that may lead to discoveries and at the same time provide a variety of practice in computing with fractions. (JP)

A particular shot on a pool table is analyzed using the concept of similar triangles, to introduce the equivalence of the "incident-reflection" principle and the "minimum-distance" principle. (CR)

A rationale is presented for an honors approach to remedial algebra instruction. Beginning with questions to be considered in the initial placement of students, the paper suggests that remedial students be enrolled at a level low enough to provide them with a reasonable chance to be good, even honors, students. It goes on to identify and contrast…