I♥️Learning. ''I arise in the morning torn between a desire to save the world and a desire to savor the world. This makes it hard to plan the day.''- E.B. White
A new process for writing/thinking that I'm trying out
1. New Google Doc, hit record/transcribe
2. Let loose a 2-3 minute stream of thoughts/ideas on a subject, some good some bad. No editing
3. Ask ChatGPT to take those ramblings and turn it into a 500 word blog by @morganhousel
The more interactive, the better. So, generally, watching/listening is beaten by reading, which is beaten by discussing, which is beaten by doing, which is beaten by teaching.
@G_S_Bhogal 100% this is why group seating is great in math class: they help each other so much while doing the problems, they don't realize they're really helping themselves more (assuming they're helping correctly ofc)
Antoni Gaudi died 100 years ago today.
He was 73 and spent over 40 years working on La Sagrada Familia (completing 1/4th of entire basilica).
Gaudi’s method for designing it was genius: he hung movable weights on strings and let gravity do the work of showing the proper angles and force vectors for his nature-inspired look.
He then flipped the model upside down to see how to build the columns and arches.
Also inspired by forests and sea life, the legendary architect once said, “there are no straight lines or sharp corners in nature.”
In the final years of his life, Gaudi’s was solely focussed on the project. His diet was lettuce leafs dipped in milk. Lived inside the Basilica and barely slept on a simple cot.
He died after getting hit by a tram while walking aroudn Barcelona. His clothes was so ratty — underwear held together with safety pins — that passerbys thought he was homeless.
The city held a massive funeral for him with 30,000 people packing the streets.
While 3/4 of La Sagrada Familia was undone, Gaudi left enough plans (models, drawings) for future generations.
La Sagrada Familia was largely dormant for a few decades 1930s-1960s (Spanish Civil War, World War II, early Cold War).
Some of Gaudi’s designs were so ahead his time that it would require the development of aeronautical design software to complete his vision.
Gaudi once remarked that “my client” — referring to God — “is not in a hurry”.
There is still work to be done but a major milestone was completed in February: workers installed a cross on top of La Sagrada Familia, making it the tallest church in the world (172.5 meters or 566 feet).
It’s also the tallest structure in Barcelona. But Gaudi intentionally capped the height because “human creation should not pass God’s work.”
The Montjuïc Hill in the southwestern part of Barcelona is ~570 feet.
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Video link: https://t.co/LmmquC3dlT
@visakanv For me good writing always puts into words thoughts and feelings I'm not able to express easily myself, and sometimes that I might not even know is there at all
Good explainer by Dr Mark Carter on what explicit instruction is/is not:
Explicit instruction: what works, what doesn’t, and why it matters — EducationHQ
https://t.co/2JFd3jj4Ex
@bykevinclark The line from TT about "if he doesn't get to play it'll discourage players in the future from seeking gambling addiction treatment" is garbage
I didn't have these last year at a different school but I want to bring them back in some form at my new school.
It brought a personal level to the classroom that made me feel more connected to the space and, more importantly, to the students
Guess I never updated this tweet with later "quotes of the week". Some went off on a tangent 😏 but otherwise I tried to keep a general math theme.
Ran out of steam towards the end of the year around probability/statistics but should have more energy to better explain in summer
Great article and set of solutions to try and combat the misattribution of "feel", or the gut instinct feeling we attribute to something that isn't really related to it at all.
Similar to our college visit survey incubator project with @AllDecisionEd
Should a choice of university—a pretty high-stakes decision—depend on the weather during a campus tour?
No, but it is, research suggests: -10% applications when blazing hot, -8% when it rains.
Can we turn off this mechanism that filters on vibe?
https://t.co/RwCNqPetIy
φ (Golden Ratio) & π in one geometric view.
The diagonal line marks key points:
• 1/φ ≈ 0.618034
• 1
• φ ≈ 1.618034
Two unit circles intersect the line while π ≈ 3.141593 sits above the central unit interval. A clean construction linking the two most famous constants in mathematics.
This diagram places the irrational numbers φ and π together in the unit square, highlighting their geometric relationship through intersecting circles and a straight line.
San Francisco banned middle school algebra only to bring it back a decade later. Colleges that did away with admissions exams are reinstating them, as more students need remedial courses. The experiment with lowering standards in American education was a dramatic failure.
@2024dion Agreed but I understand why people don't: opinions change and people don't want to be stuck in the future based on past opinions.
But as long as they're reasonable opinions and you can explain why your they changed it should be fine
You know π belongs to circles… but what about e?
Imagine a magical bank offering 100% interest per year. You deposit $1, wait a year, and walk away with $2. Simple.
But what if the bank compounds your interest twice a year—50% every six months?
After 6 months: you have $1.50.
Now you earn interest not just on $1, but on $1.50.
By the end of the year: $1.50 + (1.50 × 0.5) = $2.25.
You just made more than doubling your money.
Naturally, you say: “Do it faster.”
Daily. Every second. Continuously. Mathematically, this becomes:
(1 + 1/n)ⁿ
As n (the number of compounding periods) grows larger and larger, something incredible happens…
You hit a limit.
No matter how fast you compound, the value approaches 2.718…
In 1748, Leonhard Euler recognized this number as a universal constant and named it e.
And no—it wasn’t named after him. It simply emerged from the mathematics of growth itself. From finance to physics, from biology to probability—e is everywhere. Not bad for a number born from compounding interest.
The SAT & ACT are strong predictors of college performance (far better than high school GPA).
Yet, many colleges eliminated them on the assumption they hurt diversity.
Not so. From the NYT: “Once we brought the test requirement back, we admitted our most diverse class ever.”
Ultimately I think it's just a lack of care or consideration for anybody else, combined with selfishness and a zero sum mindset.
I feel as a society we used to do a better job of collective enforcement of norms and shaming those that disobeyed unwritten and written rules
I finally generalized one of my biggest frustrations in everyday life: when people privatize public goods/spaces.
Groups taking up the whole sidewalk, cars parked illegally blocking traffic, people that lift in front of the dumbbell racks, hoarders of any communal resource, etc.