The Mathematics 10-20-30 program consists of core and elective components, both mandatory, for three courses. The core represents the common set of minimum educational objectives prescribed for all students taking the program; the elective component allows for variety and flexibility in the choice of topics. Emphasis is placed on the theoretical…

This project addresses the problem of inadequate mathematics high school teacher staffing and the shortage of mathematics specialists in the elementary school. Regular elementary school teachers interested in becoming certified as high school mathematics teachers, and who had taken at least three college-level mathematics courses, were invited to…

This case study presents a descriptive portrait of how one general mathematics teacher transformed her classes from a computational to a conceptual orientation. The outcomes of the transformation for student learning and instruction are discussed. The findings suggest student gains in computational competence, mathematical effort, and attitude via…

The practical use of such concepts as sets, probability and statistics are considered by many to be vital and necessary to our everyday life. This student manual is intended to familiarize students with these concepts and to provide practice using real life examples. It also attempts to illustrate how the insurance industry uses such mathematic…

A method for obtaining curriculum-based estimates of student achievement is described. These estimates can be obtained through the use of a set of curriculum weights designed to reflect student opportunity to learn. If the match between the presented curriculum and test content is low, then the curriculum weights can be used to minimize potential…

This report provides users of data from the Second International Mathematics Study with a summary of the survey procedures used by participating countries. The introductory chapter includes definitions, cross-sectional and longitudinal components, and recommended sampling procedures. Chapter 2 presents national population definitions and sampling…

This is the final test for students in the twelfth grade course Mathematics 30, offered in schools in Alberta, Canada. Intended for administration in 1988, it is available in both English and French. It contains 52 multiple-choice questions and 3 written-response problems, with 2.5 hours allowed for completion. Approved calculators may be used.…

This report describes an investigation in England of some of the problems children experience with fractions. In particular, the restricted view that some children have of fractions is investigated. The methodology involved a large number of interviews with secondary school children (aged 12-14). The results of these interviews led to the design…

This document describes the FAMILY MATH course which has been developed to teach parents how to help their children learn mathematics. The goals of the program are to: (1) provide parents with activities to help their children with mathematics at home; (2) provide parents with information about the importance of mathematics in future schooling and…

This executive summary presents key findings from the 1986 National Assessment of Educational Progress (NAEP) in mathematics. It is designed to alert leaders in classrooms, families, and councils of government to the state of mathematics education in the United States. "Why Mathematics Counts" is summarized in the first section. Then,…

This document, prepared for a seminar for education reporters, consists of a presentation followed by reactions from three other persons. The presentation first considers mathematics literacy from the perspective of future workforce needs. The requirements for many jobs are increasing due to the introduction of technology, while an informed…

This pilot test for ninth grade mathematics is written in both French and English. The test consists of 75 multiple-choice items. Students are given 90 minutes to complete the examination and the use of a calculator is highly recommended. The test content covers a wide range of mathematical topics including: decimals; exponents; arithmetic word…

This achievement test for ninth grade mathematics is written in both French and English. The test consists of 75 multiple-choice items. Students are given 90 minutes to complete the examination, with the use of calculators permitted. The test content covers a wide range of mathematical content including: positive and negative exponents; word…

The Provincial Assessment of Mathematics was conducted at grades 3, 6, 9 and 12. There are three major components to the assessment: (1) a written test of the curriculum objectives carried out in May, 1987 for grades 3, 6, and 9, and in June, 1987 for grade 12 (Mathematics 300 and Mathematics 301); (2) a survey of teachers at these grade levels;…

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.…