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936 items — page 6 of 19

other justinmath.com

Failure Is NOT the Key to Success

Failure only moves you towards success to the extent that you learn from it. Learning from failure means not making the same mistake over and over again.

Oct 28, 2024

other justinmath.com

How to Allocate Your Bandwidth While Searching for Your Mission

One main focus, one semi-focus, and everything else a hobby with whatever time you have left over.

Oct 28, 2024

other justinmath.com

The Key to Learning Fast

… is reducing friction in the learning process.

Oct 28, 2024

other justinmath.com

Obsession is the Root of Both Greatness and Demise

Oct 27, 2024

other justinmath.com

Be a Builder, Not Just a Fighter

Oct 25, 2024

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Don’t Overreact to Bad Days

It can help to zoom out and look at your progress on a longer timescale.

Oct 25, 2024

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How to Cultivate Discipline

Tear down the unproductive habit and build up a counter-habit whose gravity eventually becomes strong enough to completely overtake the original habit.

Oct 25, 2024

other justinmath.com

Failure Modes in People Who Develop Math Skills but Don’t Capitalize On Them via Coding

1) Difficulty grappling with complexity when it grows so big that you can’t fit everything in your head. 2) Lack of understanding or willingness to accept practical constraints of the problem and incorporate them into the solution. 3) Getting distracted by low-ROI features/details. 4) Being unwilling to do “tedious” work.

Oct 24, 2024

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What Math To Learn Next After Calculus

Depending on your goals, either A) methods of proof, or B) linear algebra followed by probability & statistics.

Oct 23, 2024

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Transformation Is Discomforting

What you want is a continual cycle of strain and adaptation.

Oct 22, 2024

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Why Do So Few People Know About the Greatest Educational/Career Life Hack?

Oct 22, 2024

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Efficient Learning is About Balancing a Tradeoff

Oct 21, 2024

other justinmath.com

Good Cop, Bad Cop: One of the Most Challenging Parts of Teaching/Coaching

Oct 21, 2024

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If You Can’t Find a Job That Really Excites You…

Oct 19, 2024

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If you don’t practice retrieving information from memory, it dissipates almost entirely.

Oct 19, 2024

other justinmath.com

“Learning” Info Without Practicing Reproducing it is Not Really Learning

It’s really just “loading” the info into temporary storage – like picking up a weight off the rack, whereas learning is increasing your ability to lift said weight.

Oct 19, 2024

other justinmath.com

When Should Students Memorize Math Facts?

It’s helpful to loosely understand what something means before memorizing it, but this does not have to be a rigorous derivation.

Oct 19, 2024

other justinmath.com

Why Being Out Of Your Depth Is So Bad

Oct 19, 2024

other justinmath.com

Why It’s So Important to Actively Work Out Problems, Not Just Consume Content, During the Learning Process

Oct 19, 2024

other justinmath.com

I think incrementally working through a knowledge graph (KG) is the right mental model for CS education too, not just math.

Oct 18, 2024

other justinmath.com

Mistakes That Knowledgeable People Make When Teaching

1) Confusing “conceptually simple” with “notationally compact”, and 2) jumping to the most general method right away.

Oct 18, 2024

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The Importance of Automaticity is Blatantly Obvious Yet Weirdly Controversial In Education

Oct 18, 2024

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Hand Computation, Conceptual Debugging, and Coding Projects

The 3 types of problems that I would have students work out back when I was teaching ML.

Oct 17, 2024

other justinmath.com

It’s kind of disappointing how many shitty takes on learning come from within the field of education itself.

Oct 17, 2024

other justinmath.com

Passing a Class at School Does Not Imply Having Learned All The Material

Oct 17, 2024

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Simple, Representative Concrete Examples

When an algorithm or process feels magical, that’s typically an indication you don’t really understand what’s happening under the hood.

Oct 16, 2024

other justinmath.com

Love What You Do

If you don’t love it, you’ll never be able to keep up with the same volume of effective practice as someone who does have that love. You’ll never outwork them.

Oct 14, 2024

other justinmath.com

Complete Individualization: an Often-Forgotten yet Critical Component of True Deliberate Practice

There are many studies demonstrating a benefit of some component of deliberate practice, but these studies often get mislabeled or misinterpreted as demonstrating the full benefit of true deliberate practice. The field of education is particularly susceptible to this issue because it is impossible for a teacher with a classroom of students to provide a true deliberate practice experience without assistive technology that perfectly emulates the one-on-one pedagogical decisions that an expert tutor would make for each individual student.

Oct 12, 2024

other justinmath.com

Go Through the Question Bank Breadth-First, not Depth-First

An easy trick to improve your retention while working through a bank of review or challenge problems like LeetCode, HackerRank, etc.

Oct 11, 2024

other justinmath.com

ML Courses can Vary Massively in their Coverage

I was coming in with the mindset of “we need to cover the superset of all the content covered in the major textbooks,” which we’re able to do quite well for traditional math. For ML, the rule will have to be amended to “we need to cover the superset of all the content covered in standard university course syllabi.”

Oct 11, 2024

other justinmath.com

Top-down’s fine for playing around. You’ll run into walls, but don’t give up — go bottom-up to get unstuck.

A little rhyme to understand the big picture of top-down vs bottom-up learning, particularly in the context of machine learning (ML).

Oct 7, 2024

other justinmath.com

Just Do The F*cking Work

At the end of the day you can either waste time debating your coach on the training regimen, or you can use that time to just put your head down and do some f*cking work.

Oct 6, 2024

other justinmath.com

How Do You Increase a Student’s Ability to Make Mental Leaps?

Oct 2, 2024

other justinmath.com

Pictures are Valuable in Math Learning, but They’re Often Overvalued

Pictures can help build mathematical intuition, but sometimes learners think they should fully visualize every single problem they solve, which actually handicaps their thinking. Math involves generalizing patterns in logically consistent ways, and the generalizations eventually go beyond what you can fully picture in your head.

Sep 30, 2024

other justinmath.com

The Importance of Hardcore Skills

Hardcore skill development is necessary to do big things, it’s one of the greatest social mobility hacks, and it gives you the ability/confidence to take risks knowing that you’ll be okay.

Sep 29, 2024

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Math Education is a War Zone

Sep 27, 2024

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Career Hack: Put Pressure on Your Boss to Come Up with More Work For You

One of the best career hacks – especially for a junior dev – is to knock out your work so quickly and so well that you put pressure on your boss to come up with more work for you. Your boss starts giving you work that they themself need to do soon, which is really the exact kind of work that’s going to move your career forward.

Sep 26, 2024

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Music Concerts: An Unexpected Setting to See Startup/Product Ideas in Action

Sep 25, 2024

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A Thermodynamic Engine that Converts Mental Effort into Skills/Knowledge

Sep 23, 2024

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The Future of Education

To quote a Math Academy student: “The fastest and most rigorous progress will be made by individuals in front of their computers.”

Sep 23, 2024

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Spaced repetition is so similar to weight training that it might as well be called “wait” training.

The fuzzier that memory, the harder it is to lift. The wait creates the weight.

Sep 21, 2024

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The Trick to Future-Proof Your Coding Career Against AI

Get yourself into an area that requires deep domain expertise, working on things that haven’t been done or even thoroughly imagined yet.

Sep 19, 2024

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The “Progress Equals Pressure” Formula

Making progress is all about putting pressure on a problem: applying the force of your skills to a specific problem area (pressure = force / area).

Sep 18, 2024

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Five Steps to Becoming a Fully-Fledged Quantitative Software Engineer

Once you get past steps 1-3, it’s hard to find scaffolding. You can’t just enroll in a course or pick up a textbook. The scaffolding comes from finding a mentor on a mission that you identify with and are well-suited to contribute to. And it can take a lot of searching to find that person and problem area that’s the right fit.

Sep 17, 2024

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The Day of Reckoning in Math Learning

Sep 16, 2024

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Why Talent Development is Necessary in Math

When students do the mathematical equivalent of playing kickball during class, and then are expected to do the mathematical equivalent of a backflip at the end of the year, it’s easy to see how struggle and general negative feelings can arise.

Sep 15, 2024

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Don’t Undervalue Turning Up the Dial on Your Grind, but Don’t Overvalue the Last Turn

Regret minimization cuts both ways.

Sep 14, 2024

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The Future of Proof-Based Courses on Math Academy

And why we refer to ourselves as still being “in beta.”

Sep 14, 2024

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Frequent, low-stakes quizzes are such a powerful learning tool.

Sep 12, 2024

other justinmath.com

One of the Most Amusing Errors in Teaching

… is asking students to perform activities that leverage a non-existent knowledge base.

Sep 11, 2024