(October 3, 2018 at 12:25 pm)polymath257 Wrote:

(October 3, 2018 at 11:30 am)Fireball Wrote: Watch out, or he'll have you studying analytical algebraic topology of infinitely differentiable Riemannian Manifolds! Boyja Moi!

Finally got a chance to post that. Special thanks go to Tom Lehrer for making a song about it!

As I recall, it was

Analytic and algebraic topology *of locally Euclidean metrizations* of infinitely differentiable Riemannian manifolds....

  You are correct!  I have a horrible head cold, and shouldn't be posting. Thanks for the correction; I don't want to lead anyone down the wrong road.

Hey polymath and co.

Have any of you ever attempted this and successfully solved the problem (actually, there's two of them)?

http://thinkzone.wlonk.com/MathFun/Triangle.htm

Looks like I'll be at it for a while.

I would like to teach myself algebra one of these days. I paid very little attention in high school. Would eventually love to learn calculus as well. Right now, I just read this little book called, The Little Book of Mathematical Principles, Theories & Things by Robert Solomon. Pretty cool stuff. Has all these neat ideas packed into one or two pages per concept and explains formulas and whatnot in very easy to understand language. Awesome little book I sort of use it as a daily devotional or whatever.

(October 9, 2018 at 4:20 pm)PRJA93 Wrote: I would like to teach myself algebra one of these days. I paid very little attention in high school. Would eventually love to learn calculus as well. Right now, I just read this little book called, The Little Book of Mathematical Principles, Theories & Things by Robert Solomon. Pretty cool stuff. Has all these neat ideas packed into one or two pages per concept and explains formulas and whatnot in very easy to understand language. Awesome little book I sort of use it as a daily devotional or whatever.

Your profile says that you're in the US. Teaching requirements in the US vary by state, but you will usually need a 4-year degree in something, plus post-bacc work getting ready to certify for teaching. Expect to know something like 2 years worth of college-level mathematics as well, maybe more. That will include calculus, linear algebra, finite mathematics, and more.

That said, the essential skill of the profession is NOT mathematics. It's child-supervision and education. Don't think that knowing math makes you a good math educator. It doesn't. You should be highly-organized, good with children, and know how to think about thinking.

Also, expect to be paid very little relative to other people who got a 4-year degree with post-bacc work in a STEM subject. If you do go down that road, have a plan for financing your education pinned down before you commit to anything. Take into account that you will not have much money with which to repay student loans, allow yourself a buffer in case something goes wrong. There are programs that do student loan forgiveness and grants and the like, but a lot of them have some very tangled strings attached, so be cautious.

(October 5, 2018 at 1:19 pm)Grandizer Wrote: Hey polymath and co.

Have any of you ever attempted this and successfully solved the problem (actually, there's two of them)?

http://thinkzone.wlonk.com/MathFun/Triangle.htm

Looks like I'll be at it for a while.

Cool! I have worked them out, but I'll let you keep working on them. Part of the fun is figuring this kind of thing out for one's self. Much more of a sense of satisfaction that way, yes?

I have completed my coverage of ring homomorphisms: in this section, I enjoyed the theorem that stated that the intersection of all of the sub-fields of a field F is a sub-field of F that is isomorphic to either the ring Z_p  (for some prime p) under addition and multiplication modulo p or the set of rational numbers under ordinary addition and multiplication (this depends on whether the multiplicative identity element of F, denoted as 1_F, has a finite order n [the smallest positive integer n that yields nx=0_F  for all elements x in F is called the characteristic of F] or infinite order in the additive group (F,+)); I also enjoyed the ring isomorphism theorems and how the knowledge of homomorphisms/isomorphisms of groups could be utilized to help understand these theorems as they relate to rings; the embedding theorems were also very neat. 

That said, I've completed my self-study of abstract algebra I and have definitely gained an appreciation for this material.  I'm glad that I decided to explore this topic.

(October 9, 2018 at 8:03 pm)Fireball Wrote:

(October 5, 2018 at 1:19 pm)Grandizer Wrote: Hey polymath and co.

Have any of you ever attempted this and successfully solved the problem (actually, there's two of them)?

http://thinkzone.wlonk.com/MathFun/Triangle.htm

Looks like I'll be at it for a while.

Cool! I have worked them out, but I'll let you keep working on them. Part of the fun is figuring this kind of thing out for one's self. Much more of a sense of satisfaction that way, yes?

You have my admiration, Fireball. I will continue work on them later tonight. Had to take a good break from them.

(October 9, 2018 at 7:55 pm)Reltzik Wrote:

(October 9, 2018 at 4:20 pm)PRJA93 Wrote: I would like to teach myself algebra one of these days. I paid very little attention in high school. Would eventually love to learn calculus as well. Right now, I just read this little book called, The Little Book of Mathematical Principles, Theories & Things by Robert Solomon. Pretty cool stuff. Has all these neat ideas packed into one or two pages per concept and explains formulas and whatnot in very easy to understand language. Awesome little book I sort of use it as a daily devotional or whatever.

Your profile says that you're in the US.  Teaching requirements in the US vary by state, but you will usually need a 4-year degree in something, plus post-bacc work getting ready to certify for teaching.  Expect to know something like 2 years worth of college-level mathematics as well, maybe more.  That will include calculus, linear algebra, finite mathematics, and more.

That said, the essential skill of the profession is NOT mathematics.  It's child-supervision and education.  Don't think that knowing math makes you a good math educator.  It doesn't.  You should be highly-organized, good with children, and know how to think about thinking.

Also, expect to be paid very little relative to other people who got a 4-year degree with post-bacc work in a STEM subject.  If you do go down that road, have a plan for financing your education pinned down before you commit to anything.  Take into account that you will not have much money with which to repay student loans, allow yourself a buffer in case something goes wrong.  There are programs that do student loan forgiveness and grants and the like, but a lot of them have some very tangled strings attached, so be cautious.

What do you mean? I want to teach MYSELF algebra. I don't want to teach it to others lol.

(October 10, 2018 at 12:13 am)Grandizer Wrote:

(October 9, 2018 at 8:03 pm)Fireball Wrote: Cool! I have worked them out, but I'll let you keep working on them. Part of the fun is figuring this kind of thing out for one's self. Much more of a sense of satisfaction that way, yes?

You have my admiration, Fireball. I will continue work on them later tonight. Had to take a good break from them.

In typical Aliza-fashion I way over thought it and then I realized that it's an elementary geometry problem. The instructions specifically say not to use trigonometry. Don't overthink it.

(October 10, 2018 at 9:46 am)PRJA93 Wrote:

(October 9, 2018 at 7:55 pm)Reltzik Wrote: Your profile says that you're in the US.  Teaching requirements in the US vary by state, but you will usually need a 4-year degree in something, plus post-bacc work getting ready to certify for teaching.  Expect to know something like 2 years worth of college-level mathematics as well, maybe more.  That will include calculus, linear algebra, finite mathematics, and more.

That said, the essential skill of the profession is NOT mathematics.  It's child-supervision and education.  Don't think that knowing math makes you a good math educator.  It doesn't.  You should be highly-organized, good with children, and know how to think about thinking.

Also, expect to be paid very little relative to other people who got a 4-year degree with post-bacc work in a STEM subject.  If you do go down that road, have a plan for financing your education pinned down before you commit to anything.  Take into account that you will not have much money with which to repay student loans, allow yourself a buffer in case something goes wrong.  There are programs that do student loan forgiveness and grants and the like, but a lot of them have some very tangled strings attached, so be cautious.

What do you mean? I want to teach MYSELF algebra. I don't want to teach it to others lol.

.....

..... one of these days I will learn to fucking read. Really. Probably. Probably not.