I grew up in a small rural town where math teachers were rare and good ones were nonexistent. I still remember watching Sal Khan's videos on calculus after struggling to get any grip on it from my frustratingly uninterested teacher who was forced into the position after our actual teacher retired. After I saw them I came back with a fire in me because for the first time he exposed me to the beauty of calculus.
This guy is completely wrong about Khan not inspiring students to care. Sometimes all students need is to see what caring looks like to ignite it in themselves. You can feel how much he cares just by watching him because the video is the product of all that caring, and he does it for millions of people.
But thank you to this blog author for being brave enough to call out Khan's failures, I am sure it'll help education much more than Khan did.
I am having my kids learn math with Kahn academy if we don't have anything better by that point.
"Now you add the five ... [pause] ... add the five ... add the five to the seven ... to the seven..."
Running them at 1.5 - 2x helps a bit, but it's still annoying to the point that I find it very distracting.
Similar with the trend to auto-cut pauses that speakers make, just to cram in more text into a youtube video. Destroys not just the pacing but any chance for the mind to take its time.
I'd love to see studies about this.
Playing videos at 1.5-2x fixes the problem entirely. My attention is held without any effort.
If a concept is new or difficult enough, I just slow the video back down or pause it whenever I need to think things through.
1. Teacher 1 speaks at 100 words per minute.
2. Teacher 2 speaks at 50 words per minute, for the exact same content as Teacher 1.
You're not really losing anything by playing Teacher 1 at normal speed vs Teacher 2 at 2x speed. For every learner, there will be an optimal teaching speed for a given topic. This may mean listening to some audio at normal speed, some at higher speeds, and some even at slower speeds. I always customise my playback speed to the specific content I'm trying to learn.
Obviously one can overdo it. And there is variance in what people require. But not giving things time, instead giving in to the dopamine-craving, that's killing your learning abilities.
"Paris is the capital of France. Paris is the capital of France" -> not spaced repetition.
"Paris is the capital of France. [one day later]. What is the capital of France? [three days later] What is the capital of France?" -> spaced repetition.
And in fact, it's this plus practice where the real value lies in learning and memorising. The only purpose of an explanation from a teacher is to help you understand the concept. Generally once you understand it once, you don't need to understand it again - unless you forget, and that's where the practice / spaced repetition comes in. That's why I prefer the teaching part to be as efficient as possible, so I can focus my limited time on the parts that will make me internalise it.
I did the trial of Brilliant the other day. You can get 7 days free, then another 7 days added if you cancel the first trial before the end. After that you can continue to get 2 free lessons per day with ads. I think it's about $20 a month for unlimited lessons. The maths problems are more visual (which makes them quite intuitive) and it has a nicer, more polished UI than Khan Academy. It's easier to stay in the mood for doing more lessons. The main downsides compared to Khan are that the explanations are quite minimal (short descriptions, no videos), and it doesn't reach as advanced a level as Khan. I'm looking at it as more a way to do a refresher on the maths I already learned at school rather than a serious learning tool. If it were $5 a month I'd probably consider subbing for a couple of months and trying to blitz through all the material before switching back to Khan to fill in the gaps.
He sold his vision in "The One World Schoolhouse" which was essentially global learning via all the best videos (and one unified curriculum) you can make and teachers effectively being technicians/teaching assistants. It was the vision that utopian minded technologists craved in the early aughts.
"essentially global learning via all the Khan videos, in math, by him, and in other subjects, by his team."
Khan Academy is 2010-era state-of-the-art for rote learning and procedural knowledge. That's a helpful resource, but as one world schoolhouse, there is:
- No room for creativity, or much of anything similar from students (outside of the fantastic JavaScript projects).
- No room for outside innovation.
- A personality cult. Any ideas MUST be attributed to Khan.
Only if your goal is to teach people how to solve that particular problem. But it’s not the best way to teach mathematics.
For my money, the best way is problem based. I heard of one math teacher who had a video playing as the students walked in. The video was a weirdly shaped bucket being slowly filled by a hose. Students came in, saw him sitting up the back, got fidgety then someone asked “how long will this take??”. At that, he shot up and said “good question”! And they spent the rest of the class trying to estimate how long it would take for the bucket to be filled. Complete with diversions into flow rate, volume, and so on. He made the students ask the question. Then got the students to try and answer it themselves, helping them work through their own ideas on the board.
That’s beautiful teaching.
It is the highest level of learning, but still a level of learning.
You also do not need to linearly follow the topics/videos. You can take a few quizzes from some topic, notice you don't understand something completely yet and instead pick up more trigonometry instead.
I've worked through Khan academy in a way similar to what the author describes as a good flow, but then all within the Khan Academy platform. The platform even allows for discussions and questions.
To me the problem is much more that motivation or a destination is not something that Khan Academy will give you. Then again, so won't most teachers. I much preferred Khan Academy over most of my math teachers, but occasionally I've had teachers who helped me love a subject I barely knew beforehand.
The other idea is that a student only advances to the next topic once they've mastered the current topic (e.g. by getting 4/5 questions right). The theory behind this is that if you don't understand a concept/topic then it is harder to understand topics that depend on that.
This does mean that students will be at different topics/stages. But because of the structure of the teaching a teacher isn't moving on to a new topic leaving students to fall further and further behind.
IDK. Maybe some sort of RAG-on-textbook solution will let us do it.