This monograph was developed with the intention of addressing the concerns of high school mathematics teachers in Alberta (Canada) who want to base their programs on problem solving but have questions about effective and efficient ways to do so. Considered are the most basic philosophical questions, and a framework is provided to use in solving…

Physics 30 is a 12th-grade science course for students in Alberta, Canada. This document is the final test for the course. Intended for administration during June 1989, it contains 49 multiple-choice questions and 4 written-response questions. Two-and-one-half hours are allowed for completing the test. No answer key is included since scoring is…

Physics 30 is a 12th-grade science course for students in Alberta, Canada. This document is the final test for the course. Intended for administration during January 1989, it contains 49 multiple-choice questions and four written-response questions. Two-and-one-half hours are allowed for completing the test. No answer key is included since scoring…

This volume contains the Annual High School Mathematics Examinations given 1973 through 1982, supplementing three previous compilations. The examinations provide challenging problems which teach, stimulate, and provide enjoyment for both participants and readers. In addition to presenting the ten examinations, consisting of 35 problems for the…

In this paper we report some results of the analysis of released items of the Third International Mathematics and Science Study (TIMSS). This analysis is part of a research project in process related to Mexican high school curricula from an international perspective and, the mathematics students' performance in this school level. The results…

Presents 14 distinct methods to determine the sine of the angle formed by the line segments joining one vertex of a square to the midpoints of the nonadjacent sides. Nine methods were developed by mathematics club participants preparing for mathematics competitions and the remaining five by faculty members. (MDH)

This document contains various science problems which require a mathematical solution. The problems are arranged under two general areas. The first (algebra I) contains biology, chemistry, and physics problems which require solutions related to linear equations, exponentials, and nonlinear equations. The second (algebra II) contains physics…

Five sets of activities for students are included in this document. Each is designed for use in secondary school mathematics instruction. Topics include: (1) "5-Con Triangles"; (2) "Striking Sequences"; (3) "Invariants"; (4) "On the Ball," (a geometry lesson); and (5) "Coloring Maps." These topics focus on geometric and statistical concepts. Each…

A number for which the number of digits categorizes the number is called a star number. A set of star numbers having a designated property is called a constellation. Discusses nature and cardinality of constellations made up of star square, star prime, star abundant, and star deficient numbers. Presents five related problems for exploration. (MDH)

The teaching of problem solving begins the moment a child first enters school and the senior high school plays a major role in the development of this skill since a number of students terminate their formal education at the end of this period. This book combines suggestions for the teaching of problem solving with activities, problems, and…

The transformation assigning to every point its inverse with respect to a circle with given radius and center is called an inversion. Discusses inversion with respect to points, circles, angles, distances, space, and the parallel postulate. Exercises related to these topics are included. (MDH)

Mathematics 30 is a 12th-grade mathematics course for students in Alberta, Canada. This document is the alternate form for the final test for the course. Intended for administration during January 1989, it contains 45 multiple-choice questions, seven open-ended scannable questions, and three written-response questions. Two and one-half hours are…

This set of three modules was designed for use primarily to help teach and reinforce the basic mathematics skills in drafting classes. The modules are based on the needs of drafting students in beginning courses as determined by a survey of teachers across North Carolina. Each module consists of basic information and examples and problem sheets…

Mathematics 30 is a 12th-grade mathematics course for students in Alberta, Canada. This document is the final test for the course. Intended for administration during June 1989, it contains 45 multiple-choice questions, 7 open-ended machine scorable questions, and 3 written-response questions. Two-and-one-half hours are allowed for completing the…

This report attempts to discover how students think about and use mathematics in open-ended questions. Part I, "Open-ended Questions in Mathematics," describes the rationale for adding open-ended questions to the grade 12 mathematics test of the California Assessment Program (CAP). Part II describes the findings from students' responses…