Description:
Geometry for Secondary Education. (Moderated)
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Understanding Calculus and Higher Mathematics without Geometry?
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Question: How can a sentient being understand the rigours of modern Calculus without geometry? I'm an engineering student who decided to take calculus last Winter at my current institution, and for all intensive purposes I thought I was prepared. I had taken all necessary prerequisites (making up for an appalling high school education), including Algebra I, II, Intermediate Algebra, College Algebra and Analytic Trigonometry (Elementary Functions I & II).... more »
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Area problems
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First, the function is nit "sen" but "sin". Second, sin(45) = sqrt(2)/2 which is only approximately equals 0.707106781. So, your formula gives: A = 1/2 (4)(5)(sen 45) = 10 sqrt(2) / 2 = 5 sqrt(2), as is declared in the book. A. Bogomolny [link]
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Need Cirricula, Home School, Geometry for 10th grader
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This is my niece's first year as a home school student. She is just finishing Algebra 1 (I am on 3rd grade math with my little one whom I have been home schooling for 4 years)... so, we need a Geometry curriculum that is extremely clear and kind to the parent and new home school student who are jumping into Geometry. Any suggestions please?... more »
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Apropos geometry...
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Per my news to math-teach (Math Forum) earlier today, those visiting New York City have an opportunity to catch up on the distinguished career of a 20th century maverick: a retrospective on Buckminster Fuller at the Whitney. Fuller's geometric investigations were convergent with many of the hot topics of his day, including sphere... more »
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Happpy Fourth Geometry Puzzles From Bob L. Petersen
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Here is what you can see from the middle of the Mall straight out from the Smithsonian's Castle. The fireworks going off right at the apex of the Washington's Monument. Washington's Monument is Washington's Monument is 555’ 5/8” and you are 220 yards away. What is the slope? It is awesome! Maybe I should use !!!!!!!! Next time?... more »
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a problem...
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the problem: construct a square (ABCD) given one of its points (A) and two other points, P and Q on the BC and CD segment... i know that if i make a triangle out of those and pull out circles from the midpoints, i'll get a set of points where one would belong to the square... but i've got some sounds in my head...can't think at all! Help!!!... more »
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Excluded area around hexagon inscribed in circle
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I am not sure if I understand your question but the area of the hexagon is the area of 12 30,60,90 triangles with sides of 1/2 Radius, Radius, and 3^(1/2)/2*Radius. The area outside is Pi*R^2 - the area of the hexagon.
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Reuleaux triangle, Reuleaux drill
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Two books which have material about the Reuleaux triangle (and more generally about curves of constant width or breadth) are: Euclidean Geometry and Convexity by R. Benson, McGraw Hill, 1966 Convex Figures, by I. Yaglom and V. Bolyanskii, Holt, Rinehart, and Winston, 1961. Regards, Joe ------------------------------ ------------------... more »
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Free geometry tools...
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For those of you lucky enough to have one flatscreen and keyboard per child, this might be especially interesting, but also if you share computers and/or just project: Python + VPython, both free and open source projects, from python.org and vpython.org respectively, will let your students deliver moving pictures to the screen... more »
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