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…

Common strategies for teaching proofs are discussed. Prerequisite behaviors, components of a learning hierarchy, are expressed in behavioral terms. The six categories are knowledge about logic, knowledge about the components of a deductive system, knowledge about proof strategies, knowledge of proof formats, proof completion, and generalization.…

This is the second of two guidebooks on minimum course content for high school geometry, and is designed for the student who has mastered the skills and concepts of Geometry I and who had a final average of low B or less. Emphasis is on understanding and use of theorems without proof. This course develops definitions and properties of triangles,…

This guidebook on minimum course content presents a study of the nature and methods of proof, using Euclidean geometry as a model. A more rigorous and formal course than usually offered, it is intended for the student who plans to study advanced mathematics. Overall course goals are specified, a course outline is provided, performance objectives…

Designed for students who have mastered the skills and concepts in the regular geometry series of the Quinmester Program, this guidebook presents an additional course on the study of the nature of proof, using a Euclidean geometry model. The development of techniques of formal proof is simplified through the liberal use of partially-constructed…

This is the second of a two quin series which introduces the student to all the theorems usually included in high school geometry; emphasis is on understanding and use of these theorems without proof. The course develops definitions and properties of the plane and solid figures and formulates methods for finding their linear measure, lateral and…

In this document, detailed objectives for each grade level are listed according to the following categories: for grades K-9, numeration, basic operations, fractions, money and time, and measurement and geometry; for grades 10-12, numeration, basic operations, fractions, and practical applications. Each objective is keyed to an expected level of…

The purposes of this study were (1) to identify and compare the effect on student achievement of an individualized computer-managed geometry course, built on behavioral objectives, with traditional instructional methods; and (2) to identify how selected individual aptitudes interact with the two instructional modes. The subjects were…