Geometry learning recommendations - Revision history

Vipul: /* Top recommendations */

2014-03-06T02:37:43Z

Top recommendations

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	==Top recommendations==		==Top recommendations==

	~~===Books===~~

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Vipul at 02:37, 6 March 2014

2014-03-06T02:37:30Z

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	However, much of the technical content from geometry, including large numbers of facts about triangles and circles that one might see in a high school geometry class, are not used much in later mathematics. Learning this contest can be valuable for [[contest mathematics]] and can also help one get a sense of how to organize a large number of related facts and ideas in one's mind.		However, much of the technical content from geometry, including large numbers of facts about triangles and circles that one might see in a high school geometry class, are not used much in later mathematics. Learning this contest can be valuable for [[contest mathematics]] and can also help one get a sense of how to organize a large number of related facts and ideas in one's mind.

			==Top recommendations==

			===Books===

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	\| You are just looking for something basic to get you started. \|\| If you're willing to pay money, consider Thinkwell's [http://www.thinkwellhomeschool.com/products/geometry Geometry course] \|\| ~$125 for one year course access, plus more for extras		\| You are just looking for something basic to get you started. \|\| If you're willing to pay money, consider Thinkwell's [http://www.thinkwellhomeschool.com/products/geometry Geometry course] \|\| ~$125 for one year course access, plus more for extras
	\|}		\|}

			==See also==

			* [[Online mathematics learning resources]] for a more comprehensive list of mathematics learning resources, some of which are relevant to geometry learning.
			* The geometry recommendations in the answer wiki to [http://www.quora.com/Mathematics/What-are-the-best-resources-for-preparing-for-the-IMO this Quora question] are useful if you're learning geometry for contest mathematics.

Vipul at 02:35, 6 March 2014

2014-03-06T02:35:02Z

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	\| You already know basic geometry (up to the high school level) and are looking to know more to help with contest mathematics or to understand how geometry helps with higher mathematics. \|\| ''Geometry Unbound'' by Kiran Kedlaya, available online [http://www-math.mit.edu/~kedlaya/geometryunbound/ here] \|\| free		\| You already know basic geometry (up to the high school level) and are looking to know more to help with contest mathematics or to understand how geometry helps with higher mathematics. \|\| ''Geometry Unbound'' by Kiran Kedlaya, available online [http://www-math.mit.edu/~kedlaya/geometryunbound/ here] \|\| free
			\|-
			\| You are just looking for something basic to get you started. \|\| If you're willing to pay money, consider Thinkwell's [http://www.thinkwellhomeschool.com/products/geometry Geometry course] \|\| ~$125 for one year course access, plus more for extras
	\|}		\|}

Vipul at 02:31, 6 March 2014

2014-03-06T02:31:56Z

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	\| You have an interest in solving challenging mathematical problems and discovering mathematical ideas through the problem-solving process. \|\| ''Introduction to Geometry'' by Richard Rusczyk, ISBN 978-1-934124-08-6, [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry paperback]. This is a high school geometry textbook published by Art of Problem Solving that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, [http://www.quora.com/What-are-some-good-books-to-help-me-get-math on Quora]. \|\| ~$45 for the text, ~$10 for the solutions manual.<br>Current price for semester-long AoPS geometry class is $440 ($497 with books).		\| You have an interest in solving challenging mathematical problems and discovering mathematical ideas through the problem-solving process. \|\| ''Introduction to Geometry'' by Richard Rusczyk, ISBN 978-1-934124-08-6, [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry paperback]. This is a high school geometry textbook published by Art of Problem Solving that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, [http://www.quora.com/What-are-some-good-books-to-help-me-get-math on Quora]. \|\| ~$45 for the text, ~$10 for the solutions manual.<br>Current price for semester-long AoPS geometry class is $440 ($497 with books).
			\|-
			\| You already know basic geometry (up to the high school level) and are looking to know more to help with contest mathematics or to understand how geometry helps with higher mathematics. \|\| ''Geometry Unbound'' by Kiran Kedlaya, available online [http://www-math.mit.edu/~kedlaya/geometryunbound/ here] \|\| free
	\|}		\|}

Vipul at 02:20, 6 March 2014

2014-03-06T02:20:08Z

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	! If this description fits you ... !! ... this might be the best recommendation !! Cost		! If this description fits you ... !! ... this might be the best recommendation !! Cost
	\|-		\|-
	\| You have an interest in solving challenging mathematical problems and discovering mathematical ideas through the problem-solving process. \|\| ''Introduction to Geometry'' by Richard Rusczyk, ISBN 978-1-934124-08-6, [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry paperback]. This is a high school geometry textbook published by Art of Problem Solving that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, [http://www.quora.com/What-are-some-good-books-to-help-me-get-math on Quora]. \|\| ~$45 for the text, ~$10 for the solutions manual.<br>Current price for semester-long AoPS ~~calculus~~ class ~~unavailable, but comparable precalculus class costs~~ $~~425~~ ($~~478~~ with ~~book~~).		\| You have an interest in solving challenging mathematical problems and discovering mathematical ideas through the problem-solving process. \|\| ''Introduction to Geometry'' by Richard Rusczyk, ISBN 978-1-934124-08-6, [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry paperback]. This is a high school geometry textbook published by Art of Problem Solving that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, [http://www.quora.com/What-are-some-good-books-to-help-me-get-math on Quora]. \|\| ~$45 for the text, ~$10 for the solutions manual.<br>Current price for semester-long AoPS geometry class is $440 ($497 with books).
	\|}		\|}

Vipul at 02:19, 6 March 2014

2014-03-06T02:19:15Z

← Older revision		Revision as of 02:19, 6 March 2014
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	! If this description fits you ... !! ... this might be the best recommendation !! Cost		! If this description fits you ... !! ... this might be the best recommendation !! Cost
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	\| You have an interest in solving challenging mathematical problems and discovering mathematical ideas through the problem-solving process. \|\| ~~The AoPS calculus text:~~ ''~~Calculus~~'' by ~~David Patrick~~, ISBN 978-1-934124-24-6, [http://www.artofproblemsolving.com/Store/viewitem.php?item=~~calculus~~ paperback]. ~~You can also enroll in the~~ [~~https~~://www.~~artofproblemsolving~~.com/~~School/courseinfo.php?course_id=calculus AoPS online calculus class~~]~~, though that costs more money~~. \|\| ~$45 for the text, ~$10 for the solutions manual.<br>Current price for semester-long AoPS calculus class unavailable, but comparable precalculus class costs $425 ($478 with book).		\| You have an interest in solving challenging mathematical problems and discovering mathematical ideas through the problem-solving process. \|\| ''Introduction to Geometry'' by Richard Rusczyk, ISBN 978-1-934124-08-6, [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry paperback]. This is a high school geometry textbook published by Art of Problem Solving that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, [http://www.quora.com/What-are-some-good-books-to-help-me-get-math on Quora]. \|\| ~$45 for the text, ~$10 for the solutions manual.<br>Current price for semester-long AoPS calculus class unavailable, but comparable precalculus class costs $425 ($478 with book).
	\|}		\|}

Vipul: Created page with "{{subject learning recommendations|geometry}} Geometry is an important component of middle school mathematics and early high school mathematics. Some aspects of geometry may..."

2014-03-06T02:18:24Z

Created page with "{{subject learning recommendations|geometry}} Geometry is an important component of middle school mathematics and early high school mathematics. Some aspects of geometry may..."

New page

{{subject learning recommendations|geometry}}

Geometry is an important component of middle school mathematics and early high school mathematics. Some aspects of geometry may be seen in elementary school, and geometric visualization is an important tool in later mathematics, including [[precalculus]], [[single-variable calculus]], [[multivariable calculus]], and [[linear algebra]].

However, much of the technical content from geometry, including large numbers of facts about triangles and circles that one might see in a high school geometry class, are not used much in later mathematics. Learning this contest can be valuable for [[contest mathematics]] and can also help one get a sense of how to organize a large number of related facts and ideas in one's mind.

{| class="sortable" border="1"
! If this description fits you ... !! ... this might be the best recommendation !! Cost
|-
| You have an interest in solving challenging mathematical problems and discovering mathematical ideas through the problem-solving process. || The AoPS calculus text: ''Calculus'' by David Patrick, ISBN 978-1-934124-24-6, [http://www.artofproblemsolving.com/Store/viewitem.php?item=calculus paperback]. You can also enroll in the [https://www.artofproblemsolving.com/School/courseinfo.php?course_id=calculus AoPS online calculus class], though that costs more money. || ~$45 for the text, ~$10 for the solutions manual.<br>Current price for semester-long AoPS calculus class unavailable, but comparable precalculus class costs $425 ($478 with book).
|}