BC MATH

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Arthouse-Kuklite
@Miltantvibes 5 years, 10 months ago 710 views

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Math action like drill and practice help a kid increasing great mental number aptitudes. In addition, if the training is done regularly through playing around, youngsters effectively get acquainted with numbers.

These days, we have various online numerical exercises implied for kids and the adults the same. Instructors, guardians and youngsters have various games and number drill exercises close by.

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Arthouse-Kuklite
@Miltantvibes

Is your child experiencing difficulties to read? Can your child read, but can not understand the tasks? Are you constantly helping your child with homework tasks? Your child can be partially illiterate or may not be able to read at all.

With the crunch in cash in public schools, a classroom size from kindergarten to grade six has a globe. Teachers have difficulty identifying deficient reading and writing skills among their students until it is too late.

Arthouse-Kuklite
@Miltantvibes

Children these days are expected to do more at school at an earlier age than ever. Years ago, students were learning to read and write at first grade. Nowadays, children are learning to read and write in kindergarten.

With the increase in the demands of the school curriculum, it is not surprising that the subject of "handwriting" or "penmanship" has fallen by the way.

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Arthouse-Kuklite
@Miltantvibes

1st grade mathematics work sheets and my mother's mathematics teaching style. Mathematics will not be so terrible, since it seems that parents are interested in preparing their little ones for mathematics before school age.

I grew up without understanding how people talk about mathematics as difficult as they do, it was my best topic at school.

Arthouse-Kuklite
@Miltantvibes

Algebra 1 and pre-algebra worksheets are something that all would love to have been able to dominate in high school. Sometimes they do not dominate it there and that's when it could be a bit difficult.

But after learning and doing problems of algebra and pre-Algebra and worksheets online, it will no longer be a problem. There are many cases in all the life of a person where they have to learn.

Arthouse-Kuklite
@Miltantvibes

These days, a lot of teachers is expected.

They have larger class sizes, the number of subjects is increasing, the curriculum for these subjects is increasing, and they have to deal with multi-level classes where students are at different levels of knowledge and capacity.

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Arthouse-Kuklite
@Miltantvibes

The key to teaching division to young students who have only been introduced recently to more complicated mathematics forms is to make the student feel involved with the process, while finding it pleasant at the same time.

Mathematics worksheets are effective, but there are other ways in which mathematics can effectively teach. This is practically the generic form of teaching that demonstrates being more effective among children and young people.

No matter how many times make the child complete a division worksheet, or produces division assignments, there is no promise that this child can deliver continuously with the ability to perform successful division problems.

India Wants To Know - ...
@IWTKQuiz

Shakuntala Devi is often described as "India's most famous woman mathematician". Her biopic led discussion like what does a mathematician do? Is mathematics all about performing massive computations? Or is there more to it?
A 🧵on Indian women mathematicians by @kaneenikasinha

Recall one of the greatest mathematicians of the 20th century: Srinivasa Ramanujan. The image that he evokes is that of someone sitting quietly, writing complicated but beautiful equations involving many symbols in his notebooks.

But, this thread attempts to explore the different things that a mathematician does. Along the way, we highlight some exceptional Indian women mathematicians as examples. #GWOM #womeninmath @GWOMaths @AWMmath

In an abstract sense, a mathematician observes beautiful and meaningful patterns in the universe. Their attempt is to also develop a precise and transparent language in which to explain these patterns.

Discovering and explaining these patterns often amounts to what most of us perceive as mathematics: solving challenging problems. Some problems take several decades and even centuries to solve: in the quest to solve them, mathematicians develop a new language/ techniques. #GWOM

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Dr. Meredith Sargent
@meresar_math

Ok, it's time for a #FUNctionalAnalysis thread! Let's talk about Hilbert spaces. (I hope you like linear algebra, because that's what we're

pic.twitter.com/Q1M5zhVutP
— syzygay (@syzygay1) August 9, 2020

If you want to impress people, you can just say a Hilbert space is just a complete infinite dimensional inner product space and leave it at that, but let's talk about what that actually means.

When you first learn about vectors, you talk about them as arrows in space; things with a magnitude and a direction. These are elements of R^n where n is the number of dimensions of the space you care about.

You also talk about the dot product (or inner product) as a way to tell when vectors are orthogonal. (I'm purposely saying "orthogonal" instead of "perpendicular" here, but when you actually think about arrows, it's the same thing.)

As my linear algebra students are about to see, R^n is far from the only interesting vector space. A classic example is the space of polynomials of dimension less than or equal to n

Jonathan Beardsley
@JBeardsleyMath

So okay, here's a thread on the category of finite sets and a way in which it controls algebraic structure in symmetric monoidal categories. I think it's some really pretty stuff.

First let's give some terminology and definitions. I'm going to let Γ denote the category whose objects are finite sets and morphisms are functions of finite sets. There are a whole lot of finite sets so to simplify thinking about this category, I'll work with a "skeleton."

What that means is that I'll just work with isomorphism classes of objects of Γ, i.e. if there is a bijection between two finite sets A and B, I'll think of them as the same set (this can be made categorically precise).

What I end up with then is a category whose objects are countable, namely the set {∅, {1}, {1,2}, {1,2,3},...} and whose morphisms are just functions between these sets. This will be enough to get at some cool algebraic structure.

At some point I might start writing 1 for {1} and 2 for {1,2}, and n for {1,2,3,...,n} but I'll try to let you know that I'm doing it, and hopefully it won't be too confusing of a notational switch.

Arthouse-Kuklite
@Miltantvibes

The resolution of mathematics problems is easier when you have the right resources. But what are the right resources? The answer depends on who you are, what you are trying to achieve, and why.

Are you looking for specific information that will be used once; Or exhaustive understanding, in depth that you will use in the future?

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Ok, I'll hop on this Elizabeth Warren/Native American testing bandwagon (gently and non-politically).

I've been a @23andMe customer for a while, and have followed their ancestry updates closely.

All is more or less as expected....except for this bit about Native American.

The family is almost completely composed of Spanish peasants (from various regions) who emigrated, along with a massive wave in the late 19th-cent./early 20th-cent., to Cuba back when it was a booming economy (richer than Spain's) and worth emigrating to (Communism killed that).

Also, the native population of Cuba was annihilated early on---was the first place the Spanish colonized after all. Having a native background in Cuba would be like having the same in, say, Massachusetts, particularly if you're (say) mostly Irish. Just really, really unlikely.

(Note: the North African/Arab background is less mysterious. The Iberian peninsula was part of the Muslim world for centuries. It would be odd *not* to have some Arab/Middle Eastern background coming from Spain. Given the family is mostly from Northern Spain, it's small though.)

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Legacy site *downloads* ~630 KB CSS per theme and writing direction.

6,769 rules
9,252 selectors
16.7k declarations
3,370 unique declarations
44 media queries
36 unique colors
50 unique background colors
46 unique font sizes
39 unique z-indices

https://t.co/qyl4Bt1i5x

PWA *incrementally generates* ~30 KB CSS that handles all themes and writing directions.

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740 selectors
757 declarations
730 unique declarations
0 media queries
11 unique colors
32 unique background colors
15 unique font sizes
7 unique z-indices

https://t.co/w7oNG5KUkJ

The legacy site's CSS is what happens when hundreds of people directly write CSS over many years. Specificity wars, redundancy, a house of cards that can't be fixed. The result is extremely inefficient and error-prone styling that punishes users and developers.

The PWA's CSS is generated on-demand by a JS framework that manages styles and outputs "atomic CSS". The framework can enforce strict constraints and perform optimisations, which is why the CSS is so much smaller and safer. Style conflicts and unbounded CSS growth are avoided.