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A Geometric Proof of the Sum-Product Identities for Trigonometric Functions.
Peer reviewed Peer reviewed
Jarrett, Joscelyn A. – Mathematics Teacher, 1987
The given proof supplements the derivation of identities provided in textbooks. Illustrations are included. (MNS)
Descriptors: Functions (Mathematics), Geometric Concepts, Mathematics Instruction, Proof (Mathematics)
Sine Curves and Spaghetti.
Peer reviewed Peer reviewed
Peterson, Blake E.; Averbeck, Patrick; Baker, Lynanna – Mathematics Teacher, 1998
Describes an activity for making the connection between triangle ratios and graphs of circular functions which helps middle school students understand the concept of a sine curve. (ASK)
Descriptors: Functions (Mathematics), Geometric Concepts, Graphs, Intermediate Grades
Visual Thinking, Algebraic Thinking, and a Full Unit-Circle Diagram.
Peer reviewed Peer reviewed
Shear, Jonathan – Mathematics Teacher, 1985
The study of trigonometric functions in terms of the unit circle offer an example of how students can learn algebraic relations and operations while using visually oriented thinking. Illustrations are included. (MNS)
Descriptors: Cognitive Processes, Cognitive Style, Creative Thinking, Functions (Mathematics)
An Attractive View of Composite Functions.
Peer reviewed Peer reviewed
Hansen, Will – Mathematics Teacher, 1993
Examples of composite functions present students with intriguing questions that they can explore using calculators and computers, geometric and algebraic methods, and approximation techniques. Student-centered activities allow students to make discoveries about functions. (MLN)
Descriptors: Calculators, Computer Oriented Programs, Discovery Learning, Enrichment Activities