#mathjournals

[kids-worldfun]

10 Ways To Make Math Fun for All Students Looking to make math enjoyable for all students? Discover 10 powerful strategies to unlock the joy of learning math. Say goodbye to math anxiety.

[themathblogofsashanova]

August 22, 2022

As anyone who knows me may know, I have been working on reading Alain Badiou's Mathematics of the Transcendental for a few years now. And as you may not know, I am currently studying the evolution of networks and graph theory, specifically the Greatest Strongly Connected Component.

I am still baffled and relatively starved of a good resource to contextualize category theory, though I sense its power in the Badiou. I attempted to read a paper about applications of category theory, but there was still some context lacking. I am still very much a very OCD individual, and need the context for why things arise as much as I need the how of how they arise.

One of the common themes I see here is that references in category theory that denote an option most referred to by other categories would be an equivalent to the GSCC. The difference being the interrelations between the other terms have not yet been mapped, nor necessarily have to be in the strictly categorical system. Only when they become a living system, inter-referring, do they begin to be embedded on a graph.

I see potential for analysis of analytical systems themselves using what I am currently learning about the "spring' function in graph theory. I will have to see how category theory and graph theory interrelate first. Off to do that!

[thesterlingstudies]

Part 2 of tribute post to my dad. Today, December 19th, 2020, makes 59 days after my dad passed away. He was the one who taught me mathematics at a young age and inspired me to originally study mathematical sciences when I was studying in a university. I didn't finish university, but I still want to at least finish that. It is thanks to my mom, who inspired me to be a writer (and originally the reason I was going to minor in creative writing), who saw and told me the math behind his passing. Dad, thank you for everything that you have done. I'm writing a math notebook right now and it will be a dedication to you in memory. I still miss you and love you. #TheSterlingStudies #mathematics #dad #llewellyn #sterling #MathematicalSciences #mom #ThankYou #ThankYouDad #LovingMemory #InLovingMemory #math #mathtricks #mathslover #mathfacts #passing #lovemath #mathematic #mathstudent #photojournalism #writer #writing #mathtricks #mathjournalism #journalism #tribute (at Home) https://www.instagram.com/p/CJAOKX-M-1V/?igshid=1lzyb4z6cmd66

[math-philic]

Thank you so much 1k fam! #mathmos #mathlesson #mathhelp #mathlab #mathstudent #mathnotes #mathmajors #mathäser #mathrubhumi #mathon #mathematique #MathuAndersen #mathmanipulatives #mathoffman #mathouchou #mathri #mathpun #mathsrevision #mathsmemes #mathstudents #mathila #mathsmashspringstyle #matheklausur #Mathcing #mathstoy #mathpuzzles #mathybybols #mathjournals #mathemachtspaß #mathestudium https://www.instagram.com/p/CHS0XSMDwEC/?igshid=1nsa6kebe1ui2

[jdeviv]

Today was our very first time using our math journals! I've been waiting all year to break out these problem solving tools from @getyourteachon. The kids rocked it! How fun is it to hear first graders say they're up to "evaluating?!" 😎 . . . #iteachtoo #iteachfirst #mathjournals #igteachers #teachertalk #problemsolving #getyourteachon @mrsjumpsclass @babblingabby

[themathblogofsashanova]

August 25, 2022: Identity, Symmetry and Permutation, and Corollaries Named After My Favorite Black Holes

Upon starting to read the applications of category theory collected here, I was particularly interested in Corollary 2.2.10, (and not just because it is named partially after my favorite black hole).

Any group is isomorphic to a subgroup of a permutation group.

The reason for this being precisely the application discussed yesterday, wherein instead of referencing "truth" we simply state that preservation of form must occur while there is an actual shift in analytical identity.

I have been particularly fond of the following channel, having attempted to incorporate it in my classwork.

Mathemaniac does a great job of visualizing the mathematics in question, while showing procedural excellence in teaching as well. I highly recommend this channel.

Similar to me, I was particularly interested given my last post in the similarity between permutation and symmetry. Interestingly, not all permutations related to symmetries--in fact an uneven distribution of location change of all the original vertices led to a skew or distortion in the shape, leading to corruption of form. So, Mathemaniac says that what is really meant is symmetry of form and not permutation of form unless you qualify that "integrity of form is not corrupted", and the fact that is implied is not at all something that follows from the term "permutation". Which is fascinating, because this terminological issue is itself a bit of a category issue.

What I also found fascinating is that we use the equitable rotation in relation to the identity point to establish if symmetry has occurred. This doesn't in anyway require centralization, however, centralized calculations can make checking for symmetrical distribution more cost efficient computationally, creating a standard segment that can be replicated from a certain position and iterating that process the amount of sides on the shape.

How does this relate to graph theory? I will continue to answer the original question, while not forgetting yesterday's paper in the meantime. Hopefully tomorrow I can link the applications of category theory and the paper in the same post. Such is my brain on mathematics...extremely hyper itself!