Over the past 3 years, the Mathematics Department of Grossmont College, in California, has examined the issues of course standards, instructor grading variability, and course placement. In 1990, a study was conducted to determine if the Elementary Algebra instructors with lower pass rates had higher standards, and if their students had a higher…

This course guide for calculus offered at the high school level begins with an overview of the course. The overview includes a rationale for including calculus in the high school curriculum, a description and rationale of calculator and computer use in the calculus class, the desired qualifications and characteristics of calculus teachers,…

Phase II of the research on the teaching and learning of higher order thinking and conceptual understanding in the elementary subjects, undertaken by the Center for the Learning and Teaching of Elementary Subjects, includes descriptions and analyses of commonly used and distinctive published curricula in each of the five subject areas. This report…

The 13 leading mathematics educators who made up the task force that prepared this report were thoroughly acquainted with every major report on math education produced within the last decade. They were also thoroughly acquainted with the realities of instruction in the K-12 classrooms. Their aim, therefore, was to make appropriate compromises…

Several recent experiences suggest that Hungarian students are among the best prepared mathematically in international comparisons of achievement. This paper outlines the cultural background of mathematics learning in Hungary that influences that international standing. Achievement factors in the whole cultural context include: the role of…

Researchers have noticed a gap between mathematics practice in school and mathematics practice in out-of-school situations. This study compares the out-of-school practice involving measurement of on-the-job carpet layers with the problem-solving strategies of ninth-grade students while engaged in measurement problems from the typical mathematics…

The purpose of this report is twofold. The first is to deliver an accurate portrayal of students' achievement in geometry and measurement as gleaned from the results of the 1986 Massachusetts Educational Assessment Program (MEAP). The second is to provide K-12 teachers of mathematics with activities that have proven to be helpful in encouraging…

Some of the instructional techniques developed by the mathematics reform movement are effective with Limited English Proficient (LEP) students, whether instruction is provided in the student's native language or in English. The following assumptions lead to good instruction: (1) students are capable of learning advanced mathematics regardless of…

This first volume of a review prepared for the Cockcroft Committee of Inquiry into the Teaching of Mathematics in Schools in Great Britain, and its main conclusions were incorporated in their report, "Mathematics Counts." Its aim was to display the main outcomes of research relevant to the teaching and learning of mathematics. The…

The role of computers (especially microcomputers) in the mathematics curriculum and suggestions for using them in mathematics instruction are discussed in this yearbook. The 27 articles are presented under five headings. Part 1, Issues, includes articles on comprehensive instructional computing, possible new curricula, and a syllabus for a…

A procedure was developed to combine subsets of curriculum-relevant items from a norm-referenced achievement test (NRT) with items comprising a locally-developed supplementary test in order to produce objective-referenced test (ORT) data for program evaluation. The study was designed to determine whether the ORTs were valid instruments for program…

This article arises from a broader study that investigates the benefits and forms of mathematical writing and written texts produced by twelve- to thirteen-year-old students in grade seven classes in six junior high schools in KwaZulu-Natal, particularly in the context of major curriculum changes within South Africa, These recent changes in…

Mathematics and the use of mathematical thinking should be much more than what has been traditional school arithmetic. Much of the mathematical reasoning can be developed and experienced out of school, particularly in the home. This material is a teacher's guide designed to help parents support what is done with their children in class. Background…

Mathematics and the use of mathematical thinking should be much more than what has been traditional school arithmetic. Much of the mathematical reasoning can be developed and experienced out of school, particularly in the home. This material is a teacher's guide designed to help parents support what is done with their children in class. Background…

Mathematics and the use of mathematical thinking should be much more than what has been traditional school arithmetic. Much of the mathematical reasoning can be developed and experienced out of school, particularly in the home. This material is a teacher's guide designed to help parents support what is done with their children in class. Background…