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Content
Volume 27 (2025)
Volume 27, Issue 1 (In Progress)
Pg 1 - 10 (June 2025)
Volume 26 (2024)
Volume 26, Issue 2
Pg 71 - 134 (December 2024)
Volume 26, Issue 1
Pg 1 - 70 (June 2024)
Volume 25 (2023)
Volume 25,
Pg 1 - 72 (December 2023)
Volume 24 (2023)
Volume 24,
Pg 1 - 50 (June 2023)
Volume 23 (2022)
Volume 23,
Pg 1 - 101 (December 2022)
Volume 22 (2022)
Volume 22,
Pg 1 - 50 (June 2022)
Volume 21 (2021)
Volume 21, Issue 2
Pg 123 - 206 (December 2021)
Volume 21, Issue 1
Pg 1 - 121 (June 2021)
Volume 20 (2020)
Volume 20, Issue 3
Pg 65 - 125 (October 2020)
Volume 20, Issue 1-2
Pg 1 - 64 (June 2020)
Volume 19 (2019)
Volume 19, Issue 3
Pg 141 - 213 (October 2019)
Volume 19, Issue 2
Pg 87 - 139 (June 2019)
Volume 19, Issue 1
Pg 1 - 86 (February 2019)
Volume 18 (2018)
Volume 18, Issue 3
Pg 85 - 120 (October 2018)
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Pg 41 - 83 (June 2018)
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Pg 1 - 40 (February 2018)
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Volume 17, Issue 4
Pg 165 - 229 (November 2017)
Volume 17, Issue 3
Pg 105 - 163 (August 2017)
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Pg 63 - 103 (May 2017)
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Pg 1 - 61 (February 2017)
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Pg 347 - 433 (November 2016)
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Pg 243 - 346 (August 2016)
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Pg 135 - 242 (May 2016)
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Pg 1 - 68 (February 2015)
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Pg 91 - 158 (November 2014)
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Pg 1 - 89 (August 2014)
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Volume 12, Issue 2
Pg 103 - 203 (May 2014)
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Pg 1 - 101 (February 2014)
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Pg 123 - 241 (November 2013)
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Pg 1 - 121 (August 2013)
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Pg 109 - 213 (May 2013)
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Pg 1 - 107 (February 2013)
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Volume 9, Issue 2
Pg 95 - 217 (November 2012)
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Pg 1 - 93 (August 2012)
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Volume 8, Issue 2
Pg 85 - 183 (May 2012)
Volume 8, Issue 1
Pg 1 - 83 (February 2012)
Volume 7 (2011)
Volume 7, Issue 2
Pg 81 - 162 (November 2011)
Volume 7, Issue 1
Pg 1 - 80 (August 2011)
Volume 6 (2011)
Volume 6, Issue 2
Pg 81 - 165 (May 2011)
Volume 6, Issue 1
Pg 1 - 80 (February 2011)
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Pg 87 - 171 (November 2010)
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Pg 1 - 85 (August 2010)
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Pg 93 - 188 (May 2010)
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Pg 1 - 91 (February 2010)
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Volume 3, Issue 3
Pg 203 - 293 (October 2009)
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Pg 105 - 201 (June 2009)
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Pg 1 - 104 (February 2009)
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Volume 2, Issue 2
Pg 91 - 217 (December 2008)
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Pg 1 - 89 (June 2008)
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Volume 1, Issue 2
Pg 67 - 140 (December 2007)
Volume 1, Issue 1
Pg 1 - 65 (June 2007)
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Far East Journal of Mathematical Education
Far East Journal of Mathematical Education
Volume 4, Issue 2, Pages 151 - 156 (May 2010)
CONTINUED FRACTIONS AND SQUARE ROOT APPROXIMATIONS
Blayne Carroll and Eric L. Mcdowell
Abstract:
This article demonstrates how continued fraction representations of solutions to quadratic equations arise naturally from “errors” commonly made by beginning algebra students. With a bit more work, these students can be directed toward “discovering” continued fraction representations of square roots. A proof is provided which demonstrates that these resulting continued fractions always converge.
Keywords and phrases:
continued fractions, square roots, approximation, equation solving.
Number of Downloads:
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Number of Views:
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P-ISSN: 0973-5631
E-ISSN: 2583-343X
Journal Stats
Publication count:
328
Citation count (Google Scholar):
426
h10-index (Google Scholar):
11
h-index (Google Scholar):
11
Downloads :
94820
Views:
276575
Downloads/publish articles:
289.09
Citations (Google Scholar)/publish articles:
1.3
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