3

Answer 1: Ease of use. Some things are easier to use if they are symmetrical. Eg a box lid, bricks, shape sorter toy, device connections such as HDMI. (Think of the frustration using a USB device because of the standards limited symmetry). Answer 2: Safety of use. Some things are safer to use if they have limited or no symmetrical. Eg 3 pin plug, SIM cards, ...


2

The SMSG textbook for algebra II and trig was entitled "Modern Algebra and Trigonometry, Book 2" by Dolciani, Berman, and Wooton, published by Houghton-Mifflin. We used this during my junior year in high school (1965-66). I wish I'd kept the book instead of returning it to our bookstore for credit, because I recently had to purchase a used (...


2

Found this after debating with my 8th grader son trying to bounce players of diagonal walls in a canvas js based game of his own making: I agree with many posts above that we have it all backwards. Vectors don't come into our lives through physics anymore, but through video games and early coding. Kids do translation of stuff using scratch in pre-k. They ...


2

It's a key aspect of chemical structure determination. I once saw someone prove that a posited isomer was the same molecule (there was a subtle C2 axis), to the flummoxing of a seminar speaker. For similar reasons it is a critical aspect of NMR and IR spectrum analysis (affects peak numbers). Cotton's Group Theory Chemical Applications is the classic ...


1

Set theory, as well as being a subject in its own right, is a convenient language in which most of mathematics can be expressed. English, as well as being a subject in its own right, is also a convenient language in which most of mathematics can be expressed, but nobody would ask "Why isn't English taught at the outset of math education?" When ...


1

Note that set theory when used to present ideas in mathematics makes the work of reading and intuitively verifying these harder. Several "such thats" or "conditions thats" in any work may well enable and inform the work of subsequent metamathematics , but intuitions are needed to make maths intelligeable and applicable rather than ...


1

I am not sure whether to give this as a comment or an answer, but sometimes symmetry can give us clever simple solutions to things. Understanding symmetry together with angles, for example, gives this nifty technique for building a really cool-looking cabinet. (Video: a method using complementary/supplementary angles to get a cabinet that fits together ...


1

Dolciani eventually went on to write an explicit 'Algebra 2' book, used in the 1970's and 1980's commonly. That Algebra 2 book has an exact replica of the material in the SMSG Intermediate Mathematics. So I think that should resolve it. 'Algebra 2' is the SMSG 'Intermediate Mathematics.'


Only top voted, non community-wiki answers of a minimum length are eligible