The study investigated whether (1) instruction providing for experimental manipulation by students was superior to instruction in which teachers perform the manipulations and children observe, and (2) spatial ability was related to mode of instruction. Participating in the 8-week study were 141 students aged 12-15 in seven intact eighth-grade…

The 8th Grade Test (1984) of the Illinois Inventory of Educational Progress includes 22 reading items, 39 geometry items, 41 science items, a 27-item student questionnaire regarding science opinions, and 46 mathematics items. The test booklet only is included here. (PN)

The first document in this set is a final report titled "Preparation for the Mathematics GED Test: A Computer Based Program," which describes a project to develop a General Educational Development (GED) mathematics preparation program for the adult learner at the 9-12 grade level. The other two documents are a teacher's guide and a…

A computer program was developed to increase GED test candidate's level of test taking skills, knowledge of algebra and geometry, and self-confidence for the GED Mathematics Test. The computer program was developed and written, then implementation was administered by three teachers in a GED study center. Two math scores were used to determine the…

This series of units is designed to help middle, junior high, and high school students use LOGO computer language as a tool to explore concepts in geometry, estimation and problem solving. The format of the unit was designed so that the instruction can be provided by the classroom teacher. The lessons are constructed so that, with some teacher…

This is the fifth volume in a series designed to improve mathematics instruction by providing resource materials for those responsible for mathematics teaching. Focused on geometry in schools, it presents a panorama of current practices around the world and suggests future trends. The 14 chapters consider: "Developments in Geometry Teaching in…

This test for third grade students in Alberta, Canada, consists of two sections. Section I is divided into two parts: Part A has 25 questions covering numeration, geometry, and graphing, and part B has 25 questions covering operations and properties, measurement, and problem-solving strategies. Section II consists of four basic-fact tests in…

This handbook, and the VITAL Mathematics Series videotapes, contain 12 lessons that model effective use of active learning strategies in elementary mathematics instruction. The lessons are designed for preservice and inservice teacher development programs through courses or individual study. The videotapes that are available separately demonstrate…

In the research described in this document, the goal was to develop definite theoretical characterizations of understanding in a specific domain of problems. Some performance that provides persuasive evidence of understanding was chosen, and hypotheses about cognitive structures and processes that cause the performance to occur were developed.…

The introductory level curriculum guide for bilingual education for Spanish-speaking children in the Chicago public schools is divided into four difficulty levels and is designed to facilitate acquisition of mathematical concepts by presenting them in the children's native language. At each level, the concepts covered include the meaning of…

The curriculum guide for mathematics instruction in the bilingual education program of the Chicago public schools is designed to assist teachers in the instruction of limited-English-speaking students in their native language. The guide outlines, for each of two levels, lessons on absolute and relative values of numbers, whole number operations,…

This yearbook discusses instructional approaches that are consistent with the reformulation of the school mathematics curriculum by the National Council of Teachers of Mathematics (NCTM). Articles included cover: (1) Pennsylvania standards for mathematics programs (including goals, curriculum, instruction, evaluation, teachers, and…

Computer technology may be a powerful support for teaching through guided inquiry, but this process still depends on teachers who often find it difficult to carry it out in classrooms. This article examines the efforts of a group of secondary school geometry teachers to shift their instruction toward guided inquiry with the use of a computer…

High school students (N=213) of various ability levels enrolled in first-year algebra classes were presented lessons concerning geometry concepts. The lessons were varied according to the degree of complexity of the examples that were presented. Students then were tested over their understanding of the concepts. The test questions ranged from…

These materials are intended to provide meaningful mathematical experiences for pre-algebra students. These experiences emphasize the development of computational skills, mathematical concepts, and problem-solving techniques. This bulletin may be used as the basis for the first term of a one-year course. The complete course is divided into 12…