東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

A History of Trigonometry Education ...

Van Sickle, Jenna.

Linked to FindBook

Google Book

Amazon

博客來

A History of Trigonometry Education in the United States: 1776-1900.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A History of Trigonometry Education in the United States: 1776-1900./
Author:	Van Sickle, Jenna.
Description:	229 p.
Notes:	Source: Dissertation Abstracts International, Volume: 72-07, Section: A, page: .
Contained By:	Dissertation Abstracts International72-07A.
Subject:	Education, Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3453860
ISBN:	9781124623306

A History of Trigonometry Education in the United States: 1776-1900.
Van Sickle, Jenna.

A History of Trigonometry Education in the United States: 1776-1900. - 229 p.

Source: Dissertation Abstracts International, Volume: 72-07, Section: A, page: .

Thesis (Ph.D.)--Columbia University, 2011.

This dissertation traces the history of the teaching of elementary trigonometry in United States colleges and universities from 1776 to 1900. This study analyzes textbooks from the eighteenth and nineteenth centuries, reviews in contemporary periodicals, course catalogs, and secondary sources. Elementary trigonometry was a topic of study in colleges throughout this time period, but the way in which trigonometry was taught and defined changed drastically, as did the scope and focus of the subject.

ISBN: 9781124623306Subjects--Topical Terms:

1017588
Education, Mathematics.

A History of Trigonometry Education in the United States: 1776-1900.
LDR:03178nam 2200325 4500 001 1404214
005 20111121111329.5
008 130515s2011 ||||||||||||||||| ||eng d
020 $a 9781124623306
035 $a (UMI)AAI3453860
035 $a AAI3453860
040 $a UMI $c UMI
100 1 $a Van Sickle, Jenna. $3 1683523
245 1 2 $a A History of Trigonometry Education in the United States: 1776-1900.
300 $a 229 p.
500 $a Source: Dissertation Abstracts International, Volume: 72-07, Section: A, page: .
500 $a Adviser: Alexander P. Karp.
502 $a Thesis (Ph.D.)--Columbia University, 2011.
520 $a This dissertation traces the history of the teaching of elementary trigonometry in United States colleges and universities from 1776 to 1900. This study analyzes textbooks from the eighteenth and nineteenth centuries, reviews in contemporary periodicals, course catalogs, and secondary sources. Elementary trigonometry was a topic of study in colleges throughout this time period, but the way in which trigonometry was taught and defined changed drastically, as did the scope and focus of the subject.
520 $a Because of advances in analytic trigonometry by Leonhard Euler and others in the seventeenth and eighteenth centuries, the trigonometric functions came to be defined as ratios, rather than as line segments. This change came to elementary trigonometry textbooks beginning in antebellum America and the ratios came to define trigonometric functions in elementary trigonometry textbooks by the end of the nineteenth century.
520 $a During this time period, elementary trigonometry textbooks grew to have a much more comprehensive treatment of the subject and considered trigonometric functions in many different ways. In the late eighteenth century, trigonometry was taught as a topic in a larger mathematics course and was used only to solve triangles for applications in surveying and navigation. Textbooks contained few pedagogical tools and only the most basic of trigonometric formulas. By the end of the nineteenth century, trigonometry was taught as its own course that covered the topic extensively with many applications to real life. Textbooks were full of pedagogical tools.
520 $a The path that the teaching of trigonometry took through the late eighteenth and nineteenth centuries did not always move in a linear fashion. Sometimes trigonometry education stayed the same for a long time and then was suddenly changed, but other times changes happened more gradually. There were many international influences, and there were many influential Americans and influential American institutions that changed the course of trigonometry instruction in this country. This dissertation follows the path of those changes from 1776 to 1900. After 1900, trigonometry instruction became a topic of secondary education rather than higher education.
590 $a School code: 0054.
650 4 $a Education, Mathematics. $3 1017588
650 4 $a Education, History of. $3 599244
650 4 $a Education, Higher. $3 543175
690 $a 0280
690 $a 0520
690 $a 0745
710 2 $a Columbia University. $b TC: Mathematics Education. $3 1683524
773 0 $t Dissertation Abstracts International $g 72-07A.
790 1 0 $a Karp, Alexander P., $e advisor
790 $a 0054
791 $a Ph.D.
792 $a 2011
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3453860