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.

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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


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

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Fake chats claiming to be from the Irish African community are being disseminated by the far right in order to suggest that violence is imminent from #BLM supporters. This is straight out of the QAnon and Proud Boys playbook. Spread the word. Protest safely. #georgenkencho


There is co-ordination across the far right in Ireland now to stir both left and right in the hopes of creating a race war. Think critically! Fascists see the tragic killing of #georgenkencho, the grief of his community and pending investigation as a flashpoint for action.


Across Telegram, Twitter and Facebook disinformation is being peddled on the back of these tragic events. From false photographs to the tactics ofwhite supremacy, the far right is clumsily trying to drive hate against minority groups and figureheads.


Declan Ganley’s Burkean group and the incel wing of National Party (Gearóid Murphy, Mick O’Keeffe & Co.) as well as all the usuals are concerted in their efforts to demonstrate their white supremacist cred. The quiet parts are today being said out loud.


The best thing you can do is challenge disinformation and report posts where engagement isn’t appropriate. Many of these are blatantly racist posts designed to drive recruitment to NP and other Nationalist groups. By all means protest but stay safe.
1/ Some initial thoughts on personal moats:

Like company moats, your personal moat should be a competitive advantage that is not only durable—it should also compound over time.

Characteristics of a personal moat below:


2/ Like a company moat, you want to build career capital while you sleep.

As Andrew Chen noted:


3/ You don’t want to build a competitive advantage that is fleeting or that will get commoditized

Things that might get commoditized over time (some longer than


4/ Before the arrival of recorded music, what used to be scarce was the actual music itself — required an in-person artist.

After recorded music, the music itself became abundant and what became scarce was curation, distribution, and self space.

5/ Similarly, in careers, what used to be (more) scarce were things like ideas, money, and exclusive relationships.

In the internet economy, what has become scarce are things like specific knowledge, rare & valuable skills, and great reputations.