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)

Reports on the design and trialing of a Hypercard testing procedure known as the Recognition and Testing System (RATS) that will enable mathematics teachers and researchers to generate data relating to domain knowledge representation and its access by focusing on students' knowledge of plane geometry and trigonometry. Contains 11 references.…

Two studies involving a total of 66 Australian high school students investigated the effects of training in the use of general strategies on the performance of high- and low-achieving students in trigonometry. The positive effects of management training were identified for both high- and low-achieving students. (SLD)

Problems in space geometry are discussed. Studying the equilateral triangle through its involvement in the solution of applied problems is advocated. (SD)

This curriculum guide lists mathematics topics and concepts, learning outcomes, and sample learning objectives (in three columns) for these secondary school mathematics courses in Alaska: (1) general mathematics; (2) consumer mathematics; (3) pre-algebra; (4) algebra I; (5) algebra II; (6) geometry; (7) trigonometry; (8) precalculus; and (9)…

Pilot research using a draft version of the Mathematics Inventory is discussed in this report. The Mathematics Inventory is a self evaluation instrument which covers five major subject areas: elementary algebra, intermediate/advanced algebra, plane and solid geometry, trigonometry, and coordinate geometry and functions. The instrument is…

This study guide is part of an interdisciplinary course entitled the Science and Engineering Technician (SET) Curriculum. The course integrates elements from the disciplines of chemistry, physics, mathematics, mechanical technology, and electronic technology, with the objective of training technicians in the use of electronic instruments and their…

This SMSG study guide is intended to provide teachers who use "Intermediate Mathematics," as a textbook with references to materials which will help them to gain a better understanding of the mathematics contained in the text. For each chapter of the text a brief resume of its content is followed by a list of annotated references which…

This book is a part of a self-study sequence in an engineering certification program. This volume deals with basic measurement related to construction projects; chapters are devoted to stationing, alignment data, curve data, equations, and bench marks. Some knowledge of algebra and trigonometry is assumed. (SD)

This review guide, prepared as an aid to teachers of Course III, starts with a pre-test review of Course II topics found again in Course III. The five units of Course III, as outlined in the New York State Syllabus, are then separated into nine smaller units. These include: real numbers; complex numbers; functions; logarithms; trigonometry;…

This publication provides suggested learner outcomes for guiding instruction and evaluation of students in grades 9-12 in Oklahoma. The goals are intended to provide teachers, administrators, school boards, parents, and other concerned citizens with a clear understanding of expected minimum learner outcomes for each mathematics course. Teachers…

In this document, detailed objectives for the following courses are listed: Algebra I, Algebra II, Geometry, Trigonometry, Analytic Geometry, Advanced Mathematics, Personal Business Mathematics, and Business Mathematics. Each objective is keyed to an expected level of achievement: awareness, knowledge, application, mastery, reinforcement, and…

This document is one of six which set forth the mathematics components of the Project SEARCH Articulated Curriculum developed by the Utica (New York) City School District. Each volume deals with a broad area of mathematics and lists objectives related to that area for all grades from K through 12. Each objective listed is described first in…

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

Behavioral objectives for grades 10 through 12 are specified for plane geometry, algebra, general mathematics, computer mathematics, slide rule mathematics, basic college mathematics, trigonometry, analytic geometry, calculus and probability. Most sections present material in terms of portions of a school year. At least one major objective is…