For Aaron to use daily, and for his family to follow along — what to practice, why it works, and how to make it stick
For parents: Aaron has a solid grasp of the algebra. When we work through material together, things click fast — functions, composition, transformations, factoring, probability. He's put in real work this semester, and it shows.
What we're working on now is precision — not new concepts, but execution. Aaron knows what to do; the issue is that the small steps inside a problem can get less attention than they deserve. The habits in this guide target exactly those moments. None of them require relearning anything.
For Aaron: You're already aware of this. You'll often catch yourself mid-problem and say "I go too fast sometimes." That's the right diagnosis. The habits below are specific things you can do about it — not generic advice, but moves that target the exact mistakes that keep showing up.
Each one targets a specific error pattern. Click any card to expand it.
Your brain can't fix a pattern it can't see. When mistakes feel like isolated bad luck, nothing changes. But when you can look at a log and see that the same two things have gone wrong ten times in the past two weeks, it's hard to ignore — and you know exactly where to pay attention, instead of trying to be careful about everything, everywhere.
Negative signs are easy to drop in algebra because you have to hold onto them while doing something else at the same time. That's a tough combination. What usually happens: the negative hits the first term or two, then disappears on the last one. Circling puts the tracking on paper before any computing starts — it can't be forgotten if it's written down.
When you're tracking algebra structure and doing arithmetic in your head at the same time, one of them usually loses. Writing the arithmetic out doesn't slow things down — it frees up attention for the algebra. The paper does the remembering, so your brain doesn't have to.
The 8×8=56 errors don't happen because you don't know your times tables. They happen because when you're focused on the algebra, arithmetic has less mental space to work with. Drilling builds automaticity — the fact just comes, without needing any attention, the same way reading a word doesn't require sounding it out anymore. Once that kicks in, it stops interfering with the algebra around it.
Generic "check your work" doesn't catch these errors because a wrong answer that's close to right looks fine on a quick re-read. You see x²+9 and think "looks like a quadratic, good enough." This scan skips the re-read entirely — it only checks the three specific spots where errors actually happen, which makes it faster than a general review and more likely to find something.
These habits take 2–4 weeks to feel natural. That's long enough for them to run without thinking, which is when they actually hold up under exam conditions.
For Aaron: The goal isn't new material — you already have the concepts. It's building routines that run on autopilot, so they're still going when the test is stressful and the clock is moving.
For parents: The most useful question isn't "did you study?" It's something more specific: "Did you add to the error log?" or "Did you run the scan?" Those questions reinforce exactly what we're working on. Aaron will know whether he did it — and that's usually enough.
Any questions, reach out anytime — michael@mrcohen.com