Reflections of a Second-career Math Teacher

As I prepare my classroom for the upcoming start of school, I have decided to create fifteen or so mathematics posters for display around the room. These will complement ten motivational posters I purchased and posted already. As I am not a classically trained mathematician, I want to make sure I do not erroneously depict the mathematics on the posters I create.

One such poster, below, consists of a Venn diagram of number set types spanning the natural numbers to the complex numbers and including the integers, the rational numbers, the real algebraic numbers, the real numbers, and the imaginary numbers. The counting, measuring, irrational, and transcendental numbers are also noted.

My question for my PLN follows. Is this a proper depiction of the different number sets in mathematics? I took liberty omitting the algebraic set containing only imaginary numbers for two reasons: 1) difficult to depict…

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is not a transcendental number. It is a real algebraic number, equal to . However, is transcendental.

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Doh! I knew that…I overlooked it in creating the poster though. Thanks for pointing it out, too. BTW, I did not know that the text editor for the reply box supported Latex. Cool.

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sin(pi/3) is not transcendental.

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Good catch! I missed that…

On Tue, Jan 14, 2014 at 6:22 AM, Reflections of a Second-career Math

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The values of all circular functions are algebraic at all arguments which are rational multiples of pi (or undefined). The only rational values at these points are 0, +- 1, +-(1/2) and +-2.

The values of all circular functions at all non-zero algebraic arguments are transcendental.

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I have been looking for a Number set poster and found this one. I think it is the best, very visual and easy to read. Where can I order it for our school? Thank you!

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Hi Victoria. These are not for sale. There are errors in each, too; see the comments.

Feel free to make these into a poster though. I did for my classroom.

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With your permission I will make a correction and print it for our classrooms. Thank you very much for the well thought-out poster!

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Go for it. Please keep the copyright notice. I suggest the version that separates out irrational numbers.

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