答对一道题，怎样知道学生真的懂了？

most great learning happens in groups the collaboration is the stuff of growth

the students who had the right answer pretty quickly convinced those who did not

they will hallucinate that there's material in your presentation that isn't there

you're no longer aware of the conceptual difficulties of beginning learner

The symbol as a whole represents the value that should go in the missing corner.

That first line passes through the sphere at two points, so flip a coin to decide which of those two points is going to be p1.

good problem solving does not necessarily mean understanding

we almost always get computers to handle that half,

Imperative knowledge is a description of how to deduce something.

nice style in your program nice software engineering and the program works flawlessly

analogy is the mechanism that creates or that allows categorization to happen.

What's variable is when and how long a student actually has to work on something, and what's fixed is that they actually master the material.

Or even better, "Let me get one of the green kids, who are already proficient in that concept, to be the first line of attack, and actually tutor their peer."

notice, not only does it notice the mistake, it asks the student to explain their reasoning,

And then finally, turn it back to the real world. Did it answer the question? And also verify it -- crucial step.

It's 1.76 kilohertz. I measure its wavelength.

So what I'm doing is measuring from the bottom of one image to the bottom of the next image, about a fifth of a second later,

at least two perspectives, the formal and the informal

You can see the examples. You can see the tests.

create Python modules directly from your notebooks

studying individual vocabulary words on flashcards often misses kind of integrative opportunities

what did the writer of this sentence assume

the gap between one sentence and the next one

What is it about people that creates their behaviors

capillary action, and convection currents

an alternate version of each lecture that has a commentary track

We tend to use our theories as tools.

that map is predicated on assumptions of different sorts

left speaking brain saw nothing

pick the object out of a pile

study and then sleep and then study

recall the material.

predictive validity

if you're a real scientist, what you try to do is destroy your

at the right pace for maybe *one* student

software testing everything about student learning

recall the material.

a valid environment, many repetitions, timely feedback, and thousands of hours of deliberate practice.

We need to repeat that effortful practice until we achieve mastery.

role that I see for AI is that it can provide timely feedback.

get started programming without really doing any functional programming.

relationship people have with a compiler from adversary to assistant.

revising each in the light of the other