Anonymous at Sun, 7 Jul 2024 21:49:36 UTC No. 16272008

>>16272004
>Still teaches 1×1=1
Dropped.

Anonymous at Mon, 8 Jul 2024 01:46:45 UTC No. 16272312

>>16272008
I was going to read this until I saw this post.

Anonymous at Mon, 8 Jul 2024 02:02:43 UTC No. 16272333

>>16272008
Give them some time to come around and learn the real math that is Terryology, though it has been 7 years already.

Anonymous at Mon, 8 Jul 2024 23:24:30 UTC No. 16273401

>>16272004
Thank you for the book, OP

Anonymous at Tue, 9 Jul 2024 13:13:02 UTC No. 16274088

>taking the commutativity of natural number multiplication on faith

Anonymous at Tue, 9 Jul 2024 13:55:19 UTC No. 16274120

>>16272004
Numbers aren't even real bruh

>you're not even real
>you shall be erased by God in due time

Anonymous at Tue, 9 Jul 2024 17:13:23 UTC No. 16274416

>>16272004
huh? is it better than elementaty algebra by hall & knight or the intro to math books by AoPS?

Anonymous at Wed, 10 Jul 2024 01:30:31 UTC No. 16275418

>>16274088
If you only need finite amount of them, you can make a visual proof. But if you need the infinite set you must take commutativity on faith

Anonymous at Wed, 10 Jul 2024 02:13:53 UTC No. 16275478

>>16272008
Terence, is that you?

Anonymous at Wed, 10 Jul 2024 02:22:01 UTC No. 16275485

>>16272004
>elementary school mathematics
>586 pages
>first numbers in the lesson plan: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
>next number: 11,732,976,646,254
>us national debt
lol instant classic

Anonymous at Wed, 10 Jul 2024 02:33:00 UTC No. 16275493

>>16275418
>But if you need the infinite set you must take commutativity on faith
No, it's an easy proof by induction.

Anonymous at Wed, 10 Jul 2024 05:36:52 UTC No. 16275611

>>16275485
Lol, national debt is over 30,000,000,000,000 now.

Anonymous at Wed, 10 Jul 2024 16:29:54 UTC No. 16276144

>>16274416
It is way better than both since it gives you more precise and rigorous geometrical intuition for elementary mathematics

Anonymous at Wed, 10 Jul 2024 18:18:13 UTC No. 16276281

I like the emphasis on tying everything back to the number line. I was already using rectangles for fractions instead of circles, but I'm incorporating number lines and rulers more. Improper fractions in particular are less confusing to explain with a ruler than drawing 3 pieces of something that only has 2 pieces.

Anonymous at Wed, 10 Jul 2024 21:54:25 UTC No. 16276613

>>16276281
What is a number?
>a point on the number line
What is a number line?
>ordered numbers

Anonymous at Wed, 10 Jul 2024 23:33:22 UTC No. 16276708

>>16276613
nice strawman retard

Anonymous at Thu, 11 Jul 2024 12:19:24 UTC No. 16277229

>>16276708
my nigger...

Anonymous at Thu, 11 Jul 2024 12:25:19 UTC No. 16277232

>>16274416
why the fuck do you care so much about this ancient cookbook? Just read Gorodentsev or something. Has no prereqs either but at least you'll not be on the same level as a 19th century "mathematician"

Anonymous at Thu, 11 Jul 2024 13:04:20 UTC No. 16277259

>>16277229
Stop being a retard, that is just a description of the number line, not a definition. In fact the number line is regarded as an undefined concept formally speaking, the number line is just a useful way to visualize numbers as equi-spaced points on it and use the spatial reasoning part of your brain.

Anonymous at Thu, 11 Jul 2024 13:08:52 UTC No. 16277264

>>16277259
Do you have a source for your opinion? Because this is coming straight out of the PDF in OP. This is a pedogogical source, which means this should be the common knowledge of the field.

Anonymous at Thu, 11 Jul 2024 13:34:50 UTC No. 16277292

>>16277264
nice edit retard

Anonymous at Thu, 11 Jul 2024 13:56:39 UTC No. 16277308

>>16272008
Fabulously keyed.

Anonymous at Fri, 12 Jul 2024 14:19:58 UTC No. 16278793

>>16277259
>>16277292
math isn't about sneeding.

Anonymous at Sat, 13 Jul 2024 11:21:12 UTC No. 16280158

>>16277259
The number line isn't defined? Line's are defined, and numbers are stand-in for quantities. A line listing some quantities. Not much unlike a measuring stick.

Anonymous at Mon, 15 Jul 2024 01:03:28 UTC No. 16281840

>>16277229
He just described how to make "the markings of the whole numbers" so there isn't really anything circular about this. He does assume you know what lines, points, and equal distances are. In general describing real numbers as points on a number line will require making a lot of assumptions about how points, lines, distances or translations, directions, and possibly scaling work. When the assumptions are written out, it more or less the same as describing the real numbers axiomatically but instead of being totally abstract your axioms refer to a geometric picture.

Anonymous at Mon, 15 Jul 2024 17:27:16 UTC No. 16282606

>>16281840
Oh, so he just lied by omission.

Anonymous at Mon, 15 Jul 2024 23:08:55 UTC No. 16282969

Rec AMS books...