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Science and Mathematics Education Commons

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Articles 1 - 14 of 14

Full-Text Articles in Science and Mathematics Education

Three Hundred Years Of Helping Others: Maria Gaetana Agnesi On Exponents, Kenneth M. Monks Jul 2023

Three Hundred Years Of Helping Others: Maria Gaetana Agnesi On Exponents, Kenneth M. Monks

Pre-calculus and Trigonometry

No abstract provided.


Three Hundred Years Of Helping Others: Maria Gaetana Agnesi On The Rational Root Theorem, Kenneth M. Monks Jul 2023

Three Hundred Years Of Helping Others: Maria Gaetana Agnesi On The Rational Root Theorem, Kenneth M. Monks

Pre-calculus and Trigonometry

No abstract provided.


Three Hundred Years Of Helping Others: Maria Gaetana Agnesi On Simplifying Radicals, Kenneth M. Monks Jul 2023

Three Hundred Years Of Helping Others: Maria Gaetana Agnesi On Simplifying Radicals, Kenneth M. Monks

Pre-calculus and Trigonometry

No abstract provided.


Three Hundred Years Of Helping Others: Maria Gaetana Agnesi On Precalculus, Kenneth M. Monks Jul 2023

Three Hundred Years Of Helping Others: Maria Gaetana Agnesi On Precalculus, Kenneth M. Monks

Pre-calculus and Trigonometry

No abstract provided.


The Trigonometric Functions Through Their Origins: Ptolemy Finds High Noon In Chords Of Circles, Danny Otero Apr 2022

The Trigonometric Functions Through Their Origins: Ptolemy Finds High Noon In Chords Of Circles, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.


The Trigonometric Functions Through Their Origins: Regiomontanus And The Beginnings Of Modern Trigonometry, Danny Otero Apr 2022

The Trigonometric Functions Through Their Origins: Regiomontanus And The Beginnings Of Modern Trigonometry, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.


The Trigonometric Functions Through Their Origins: Hipparchus' Table Of Chords, Danny Otero Apr 2022

The Trigonometric Functions Through Their Origins: Hipparchus' Table Of Chords, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.


The Trigonometric Functions Through Their Origins: Babylonian Astronomy And Sexagesimal Numeration, Danny Otero Apr 2022

The Trigonometric Functions Through Their Origins: Babylonian Astronomy And Sexagesimal Numeration, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.


The Trigonometric Functions Through Their Origins: Varahamihira And The Poetry Of Sines, Danny Otero Apr 2022

The Trigonometric Functions Through Their Origins: Varahamihira And The Poetry Of Sines, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.


The Trigonometric Functions Through Their Origins: Al-Biruni Does Trigonometry In The Shadows, Danny Otero Apr 2022

The Trigonometric Functions Through Their Origins: Al-Biruni Does Trigonometry In The Shadows, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.


Completing The Square: From The Roots Of Algebra, Danny Otero Oct 2019

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

Pre-calculus and Trigonometry

No abstract provided.


Solving Equations And Completing The Square: From The Roots Of Algebra, Danny Otero Jul 2019

Solving Equations And Completing The Square: From The Roots Of Algebra, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.


How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve Apr 2019

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 Mar 2017

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 …