Braindump thread on 🇮🇳/math/acc after I spoke with many experts on this:
At International Math Olympiad, Indian students do okay on number theory and algebra but struggle with geometry which "needs serious creativity that is tough to learn in regular school. Problem #6 in IMO is where India has struggled the most across the years"
(1/N)
A big factor for India's math olympiad performance has been that many students are not even attempting this exam, simply due to lack of awareness.
If you're in school and enjoy mathematical problem-solving, consider taking IOQM, even if just for fun. (2/N)
Many schools and parents are not even aware that "SOF olympiads" are not true olympiads. It's a just a feel-good exam that is too easy to do well on and feel good. Their "international olympiad" marketing has managed to fool many people. (3/N).
Our curriculum and schooling is too algebra-oriented. This makes our students good at symbol manipulation, but not so much at visual intuition.
Things are particularly bad when it comes to 3-dimensional geometry. Books, blackboards, screens are all 2 dimensions and early schooling does not have enough 3D manipulatives to develop true spatial/geometric thinking. (4/N)
IIT-JEE requires physics and chemistry in addition to mathematics. This may be selecting against talent that leans more towards abstract and less towards concrete. Things are now changing with various IITs giving direct admissions to IMO participants without JEE.
Computer science in particular will benefit from indexing more on mathematics. It's a sub-field of mathematics anyway and very different from other engg departments. (5/N)
There's a whole lot of low hanging fruit available at younger ages, but teachers lack the autonomy/incentives to try fresh approaches.
For example, the notational mess of exponents, radicals and logarithms that causes confusion for no good reason and probably makes many people give up on maths who would have been very good at it precisely _because_ of their talent for sense-making. (6/N)
Memes (i.e. culture) are upstream of everything. Since supply of excellent teachers can't be increased easily, it might be much more effective to involve families and friends in building that culture. (7/N)
Indians don't want to pay for software but their behaviour is exactly opposite when it comes to education. They don't value "free" stuff.
The number of attendees in the free sessions by @dhimath_india or @ccl_iitgn is in typically in the 20s - from ALL OF INDIA! 😮 (8/N)
We have put too much algebra in trigonometry (9/N):
Poor pedagogy is prevalent in teaching computational thinking as well.
Waiting for teachers (whether schools or edtech players) to improve seems futile. We must involve families and friends in order to get a step change in learning. Again, we need good cultural memes to replicate. (10/N)
When it comes to computing device for young kids, I strongly recommend you to get them a large-screen general-purpose computer (i.e. laptop/desktop) rather than a smartphone/tablet - which has been optimized as hell for consumption and addiction.
Steve Jobs used to call computers "bicycle for mind". Smartphones/tablets are very far from being that. (11/N)
This is an interesting idea.
Olympiad problems require much deeper thinking, which is evident in their format:
Each JEE Advanced paper has 51 problems (maths+physics+chemistry) to be solved in 3 hours.
IMO exam happens over two days. Each day you get 3 problems to be solved in 4.5 hours. (12/N)
It's also amazing that all media coverage of Signal refers to it as a "non-profit" or "open-source" - both of which are now false as they built MobileCoin (85% pre-mined) integration in secret.
And the UX is trash - the one thing which @moxie justified all the compromises for.
Blockchain is best understood in geopolitical frame. Internet is now a sovereign country, now able to give its residents property rights using blockchain and people are immigrating to it. Doesn't have an army yet. Nation states need to decide if they want to be allies or enemies.
People have been moving to Internet with their attention and consumption and productive capacity for a while but they could never build property rights on internet. Now they can.
It's a loose analogy. Food, sex, kids are still in the real world.
If governments were competent at all, some of them would fight the enemy by using is advantage. Expect more CBDC launches, followed by bans on anonymous cryptos.
But there will be govts that are not threatened by anonymous crypto. Full on game theory scenario to play out.
One more: @sengineland is turning off AMP pages. @HenryPowderly has a detailed post explaining why. Just in July and August the saw AMP traffic drop by 34%. Why? Because now Google includes non-AMP pages in "Top Stories": searchengineland.com/why-were-turni…
I've been going through Math syllabus (till grade 10) so many topics seem out of place in today's age. These topics have very little pedagogical value and almost none usefulness. Here are a few:
(a) Solving system of equations using cross multiplication
This is just a shortcut for solving by substitution /elimination and doesn't even generalize well for > 2 variables or linear algebra. Why should we optimize for speed of solving by hand in this age?
(2) Statistical novelties: Mode, Ogives, fancy formulas for grouped data:
I'm not a practicing statistician, but I have done decent bit of data crunching. I never came across an instance where these were needed.
To clarify, I don't think that math needs to have real-world applications. Pedagogical utility is good enough. These seem to lack both.
Education: Where family, community & government determine what's best for the child. Sure, all 3 love the children, but at the same time, they also want to use them as "human resource" to some extent.
Nothing wrong with it, but important to understand this.
The student, by definition being ignorant, is left out. We just hope that somehow, with these 3 competing interests, the individual interest will be preserved.
There's a troubling thought: When thinking about the aims of education, we use ideals like these.
But when it comes to ourselves as adults, what do we consider as a happy, successful life? Health, Wealth, Wisdom, and fulfilling social life. Essentially two categories: Power/capacity and Joy. These are not exactly identical to the qualities listed above.