The papers presented in these proceedings are organized into seven categories: (1) number and number operations (13 papers); (2) spatial representation and geometrical understanding (10 papers); (3) developing and/or using models of mathematical learning (15 papers); (4) mathematical concept formation (17 papers); (5) the mathematical learning…

This document outlines part one of the third year course of the newly implemented New York State Mathematics Curriculum. The three-year Sequential Mathematics sequence designed by New York State is a move in the direction of fusing the formerly separate topics found in algebra, geometry, and intermediate algebra/trigonometry, and introducing…

This document outlines part two of the third year course of the newly implemented New York State Mathematics Curriculum. The three-year Sequential Mathematics sequence designed by New York State is a move in the direction of fusing the formerly separate topics found in algebra, geometry, and intermediate algebra/trigonometry, and introducing…

The procedures projected to be used in the spring and summer of 1982 to establish passing standards for the Maryland Functional Mathematics Test are described. The development of the test as a prerequisite for high school graduation to be implemented in 1987 is described. The maximum involvement of diverse constituencies and multiple informed…

This booklet provides a brief overview of the Connecticut ninth-grade proficiency test by listing the skills to be assessed on the test. Sample questions exemplifying each skill are also included. Areas assessed include: (1) basic writing skills in the language arts (mechanics of written expression, composing and organizing skills, and library…

The introductory chapter provides an overview on mathematics instruction in Kenyan schools. A survey was conducted largely in the Kigumo division in Murang'a District Central Province to determine problems affecting mathematics instruction in Junior Secondary classes and measures to improve standards. Respondents were 20 head teachers not…

To meet the need for advanced placement (AP) calculus instruction in Virginia schools faced with a teacher shortage and small enrollments, the Virginia Department of Education in cooperation with schools and television stations is developing a high technology advanced placement credit course. The course has eight components: (1)…

This comparative study was designed to provide information on some facets of mathematics education programs in Taiwan and the United States. The mathematics curriculum in middle and secondary schools was investigated and compared in order to encourage discussion and possible refinement. A long-range goal for mathematics education, especially for…

Over 12,000 transcripts from a sample of 1982 high school graduates were collected and analyzed as part of the High School and Beyond Study. The analysis produced four statistics: the average number of years that students took courses in science and mathematics; the percentages of students who had taken three or more years each of science and…

Forty-five lesson plans in geometry are presented which incorporate career education into the ordinary ninth-tenth grade geometry curriculum. The lessons focus on one or more of the following developmental areas of career education: self knowledge, individual and environment, world of work, economics, education and training, employability and work…

The Remedial Mathematics Skills Program funded under Elementary and Secondary Education Act Title I serviced students who were two or more years below grade level in mathematics in 50 New York City high schools for the 1974-1975 school year. The program objective was to improve students' computational skills through the use of calculators,…

This document consists of two modules. The first of these views applications of algebra and elementary calculus to curve fitting. The user is provided with information on how to: 1) construct scatter diagrams; 2) choose an appropriate function to fit specific data; 3) understand the underlying theory of least squares; 4) use a computer program to…

This study investigated the relationships among student and group characteristics, group interaction, and achievement in cooperative small groups. Seventy-seven students in two junior high school mathematics classrooms learned a two-week unit on exponents and scientific notation in mixed-ability or uniform-ability groups. Interaction in the groups…

During the summer of 1976, the MIT Artificial Intelligence Laboratory sponsored a Student Science Training Program in Mathematics, Physics, and Computer Science for high ability secondary school students. This report describes, in some detail, the style of the program, the curriculum and the projects the students under-took. It is hoped that this…

Presented are articles selected from the "Arithmetic Teacher" and the "Mathematics Teacher," designed to supply teachers with meaningful and useful learning activities that can be adapted to specific classroom needs. The following major strands in mathematics are covered: (1) Counting and Place Value; (2) Whole Numbers and Integers; (3) Number…