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## Full-Text Articles in Education

Completing The Square: From The Beginnings Of Algebra, Danny Otero

#### Completing The Square: From The Beginnings Of Algebra, Danny Otero

*Pre-calculus and Trigonometry*

No abstract provided.

How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve

#### How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve

*Pre-calculus and Trigonometry*

No abstract provided.

A Genetic Context For Understanding The Trigonometric Functions, Danny Otero

#### A Genetic Context For Understanding The Trigonometric Functions, Danny Otero

*Pre-calculus and Trigonometry*

In this project, we explore the genesis of the trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant. The goal is to provide the typical student in a pre-calculus course some context for understanding these concepts that is generally missing from standard textbook developments. Trigonometry emerged in the ancient Greek world (and, it is suspected, independently in China and India as well) from the geometrical analyses needed to solve basic astronomical problems regarding the relative positions and motions of celestial objects. While the Greeks (Hipparchus, Ptolemy) recognized the usefulness of tabulating chords of central angles in a circle as aids ...