How to teach Help students achieve their goal Updated 2025-07-16
This is the most important of all points.
Don't set goals for your students.
Ask students what they want to do, and help them achieve that goal.
If they don't know what to do, give suggestions of interesting things they could do.
Once they have a goal, just help them learn everything that is needed to achieve that goal
This is because the universe of potentially useful things that can be learnt is infinite, and no human can ever learn everything.
The only solution, is to try and learn only what seems necessary to reach your goal, and just try to reach your goal instead.
This approach is called backward design.
Also, setting overly ambitious goals, is a good idea: the side effects of ambitious goals are often the most valuable thing achieved.
How to teach Group students by interest, not by age Updated 2025-07-16
Rather, we should group students by subject of interest; e.g. natural sciences, social sciences, a sport, etc., just like in any working adult organization!
This way, younger students can actually actively learn from and collaborate with older students about, see notably Jacques Monod's you can learn more from older students than from faculty.
This becomes even more natural when you try to give students must have a flexible choice of what to learn.
This age distinction should be abolished at all stages of the system, not only within K-12, but also across K-12, undergraduate education and postgraduate education.
This idea is part of the ideal that the learning environment should be more like a dojo environment (AKA peer tutoring, see also dojo learning model), rather than an amorphous checkbox ticking exercise in bureaucracy so that "everyone is educated".
Perhaps, even more importantly, is that we should put much more emphasis on grouping students with other students online, where we can select similar interest amongst the entire population and not just on a per-local-neighbourhood basis.
How to teach Let students learn by teaching Updated 2025-07-16
Tell students to:
- make suggestions to the course material themselves, since you have used text and published your source.Review their suggestions, and accept the best ones.
- answer the questions of other students on your online forum. Let them work instead of you.
Praise those that do this very highly, and give them better grades if you have that superpower.
Whatever you do, even if it is playing video games: if you manage to produce related content that will interest other people, and possibly allow you to get paid, it will much much fun to do that thing.
How to teach Use the Internet Updated 2025-07-16
How to teach Give answers Updated 2025-07-16
Give students answers to all questions.
Explain in extreme detail how each result was reached.
And when they've had enough, then can read answers and understand while the problem is fresh in their minds.
If you don't give answers, no one will be able to use your online material without you being there to hold their hands.
Forbidding students from publishing their answers also goes against let students learn by teaching.
How to teach Use English Updated 2025-07-16
By writing in English you reach more people.
English is the de-facto Lingua Franca of the second half of the 20th Century, it is the new lingua franca, the new Latin, and there is no escaping it.
Students who don't know English will never do anything truly useful in science and technology. So it is pointless to teach them anything (besides English itself).
How to teach Text is cheaper than video Updated 2025-07-16
Text materials are generally superior to video because they:
Only produce video material if:
- it shows an experiment, physical technique, natural phenomena or location that is of interest. See also: Section "Videos of all key physics experiments"
- it gives fundamental geometric insight on the subject
- you are filming a human transmitting their passion about the subject, and the speaker is amazing, and does not speak for too long
How to teach Search before creating Updated 2025-07-16
Someone else has already written everything you can come up with.
How to teach Advertise your material Updated 2025-07-16
Once you have crated something awesome, you have to advertise it, otherwise no one will ever find it.
This means:
- Then ask them if they want to talk about anything.
- whenever someone asks as question on an online forum, answer it, and link to the section of your material that also answers that question.The material will answer many of their future questions.
Eventually, people will find you on the front page of Google searches, and then you will know that you've truly made something useful.
How to teach Publish somewhere people can comment Updated 2025-07-16
Then, if people find errors, or have questions, they will write a comment near the content itself.
Then, next person that comes along and has the same problem, will also find that comment, and your answer will solve their problems too.
The perfect way to do this is to use GitHub issues
How to teach Publish your source Updated 2025-07-16
How to teach Explain how to make money with the lesson Updated 2025-07-16
People will be more interested if they see how the stuff they are learning is useful.
Achieving novel results for science, or charitable goals (e.g. creating novel tutorials) are also equaly valid. Note that those also imply you being able to make a living out of something, just that you will be getting donations and not become infinitey rich. and that is fine.
Projects don't need of course to reach the level of novel result. But they must at least aim at moving towards that.
This is one of the greatest challenges of education, since a huge part of the useful information is locked under enterprise or military secrecy, or even open academic incomprehensibility, making it nearly to impossible for the front-line educators to actually find and teach real use cases.
How to teach Use the CC Attribution-ShareAlike license Updated 2025-07-16
How to teach Talk with individuals, not to groups Updated 2025-07-16
Everything you want to teach is already online.
And if it is not, then you are wasting your time saying it face-to-face instead of creating such online resource.
The only goal of meeting students is talking to them individually or in small groups to:
- understand what they feel
- transmit your passion for the subject
and letting them do the same amongst themselves.
If you talk to a large group, you will only reach / understand a very small percentage of the group, so your time is wasted.
It is better to deeply understand what 25% of the students feel and adapt the course material, than to talk to everyone at once, and have only 5% understand anything.
How to teach Become famous through teaching Updated 2025-07-16
How to teach Publish your material even if it is not perfect Updated 2025-07-16
Just make it very clear what you've tried, what you observed, and what you don't understand if anything at all.
This will already open up room for others to come and expand on your attempt, and you are more likely to learn the answers to your questions as they do.
And there's a good chance someone who knows more than you will come along and correct or teach you something new about the subject. For example, this has happened countless times to Ciro Santilli when doing Ciro Santilli's Stack Overflow contributions.
Perfect is the enemy of good.
Examples of famous fails:
- QED and the men who made it: Dyson, Feynman, Schwinger, and Tomonaga by Silvan Schweber (1994) chapter 7.11 "Epilogue" mentions how Julian Schwinger has lots of unpublished notes, or that his collaborators had to write most of the stuff down themselves in the end because he felt they were not perfect enough
How to teach Exams and homework are useless, only projects matter Updated 2025-07-16
See: Section "Exam".
The only thing that matters is that students aim towards the goals described at explain how to make money with the lesson.
Any "homework for which the student cannot use existing resources available online" is a waste of time.
The ideal way to go about it is to reach some intermediate milestone, and then document it. You don't have to do the hole thing! Just go until your patience with it runs out. But while you are doing it, go as deep and wide as you possibly can, without mercy.
This is actually how Ciro Santilli learns new subjects he is curious about, even as an adult! Some examples:
How to teach Bibliography Updated 2025-07-16
Other people with similar philosophies:
Complete basis Updated 2025-07-16
Finding a complete basis such that each vector solves a given differential equation is the basic method of solving partial differential equation through separation of variables.
The first example of this you must see is solving partial differential equations with the Fourier series.
Notable examples:
- Fourier series for the heat equation as shown at Fourier basis is complete for and solving partial differential equations with the Fourier series
- Hermite functions for the quantum harmonic oscillator
- Legendre polynomials for Laplace's equation in spherical coordinates
- Bessel function for the 2D wave equation on a circular domain in polar coordinates
European Tower of Babel Updated 2025-07-16
What big companies have been created in Europe after World War II, that have not been bought or utterly defeated by American or Japanese companies?Because of all these failures, much fanfare was made as Spotify reached a $50B market capitalization in 2020. An art company, so cute!
- International Computers Limited fully bought by Fujitsu in 1998 after a long decline. The Fujitsu Wikipedia entry contains the emblematic image caption:So much for The Queen. This was a prelude to Arm's sale somewhat.
The Fujitsu office in Bracknell, United Kingdom, formerly an ICL site and opened by HM the Queen in 1976
- Solexa sold to Illumina (American company) for 600M USD in 2007. As of 2020 is still the basis for the dominant DNA sequencing technology in the world
- CSR sold to Qualcomm (American company) for 2.5B USD in 2015
- Dotmatics sold to Insightful Science for $690M[ref] in 2021. To add insult to inujury, Insightful changed its brand to Dotmatics later on.
- Arm sold to Softbank (32B USD in 2016)? ARM being of course the fortunate leftover of Acorn Computers's defeat to the more edible Apple
As of 2023, the LVMH was the most valuable company in Europe by market capitalization[ref]. Luxury goods. An area of industry that borders between the useless and the evil.
Europe has basically become an outsourcing hub for the United States. The fact that its starts are all sold if they become large enough just means that R&D is also outsourced.
ASML, and perhaps more meaningfully its parent/predecessor ASM International from 1964 is perhaps the biggest exception.
The key problem is that there are so many small countries in Europe, that any startup has to deal with too many incompatible legislation and cannot easily sell to the hole of Europe and scale. So then a larger company from a more uniform country comes and eats it up!
Talent mobility is another issue:
- people can't generally work remotely from different countries for the same company as regular employees, only as contractors. This is because of fiscal incompatibilities across countries[ref][ref], and has become an increasing problem in the 2020's with the increase in remote work possibilities during/after COVID-19.
- it is quite rare for people to study at university in different countries than their own, because the entry examinations are in the native language and have local history knowledge components. This also means that people from different countries don't easily recognize which are the best Universities of other countries, making you take a hit if you want to search for jobs elsewhere
Because the countries are still essentially walled off by languages. Europe is the perfect example of why having more than one natural language is bad for the world.
You just can't go study or work in any other country (except for the UK, when it was still in the EU) without putting a huge effort into learning its language first.
Without this, there isn't enough mixing to truly make cultures more uniform, and therefore allow the laws to be more uniform.
Europe can't even unify basic things like:
- a marriage registry
- the mail system, parcels often getting lost and require you to contact people who may not speak English
- the train systems: www.linkedin.com/posts/hinrich-thoelken_cop26-activity-6863490595072045057-Xhlg/
Equally so, it can't force little fiscal paradises who effectively benefit from being in Europe like Ireland, Luxembourg, Monaco, Switzerland ("not European", but should that be allowed?) and Cyprus (the EU can't even maintain its territorial integrity, let alone fiscal) to not offer ridiculously low taxes and incentives which make them entry points for foreign companies to rape Europe.
For this reason, Europe will only continue to go downhill with the years, and the United Kingdom will continue to try and endosymbiose into a state of the United States (although at times it seems that it would rather endosymbiose with China instead). On 2025 the British parliament beautifully put it that the country:
risks becoming an "incubator economy"
Historically, this disunion is partly due to the European balance of power, whereby countries would form alliances with old enemies to prevent another country from taking over. Also linked are failed military unification attempts by Napoleon and Hitler, though we are likely better off without the latter succeeding!!! Though those also partly failed due to wider balance of power issues involving the United Kingdom, the Soviet Union and USA, not only due to internal balance. Of course, none of that matters anymore after World War II, where other more unified Europe-sized potencies rose, first the USA and the Soviet Union, and then China, and now European disunion is nothing but a burden.
One thing must be said in favour of Europe's mess however: it favours international collaboration in huge projects as a more neutral middle ground. This can be seen more clearly in the ITER and the fiasco that was the Superconducting Super Collider that was cancelled a couple of billion dollars in partly because it failed to attract any foreign investment, compared to the Large Hadron Collider which went on to find the Higgs boson as mentioned at www.scientificamerican.com/article/the-supercollider-that-never-was/.
Bibliography:
- www.politico.eu/article/ursula-von-der-leyen-mission-europe-economy/ Von der Leyen's mission: Stop Europe's 'slow agony' of decline (2024)
There are unlisted articles, also show them or only show them.
