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For questions about exercise groups; tutors, TAs, exercise group leaders and everything related to that.

17 votes

What skills do algebra teachers wish their students had mastered before taking algebra?

For me, the top items are automaticity with: Times tables Negative numbers Order of operations I have a timed drill site on these skills at Automatic-Algebra.org. For my incoming remedial algebra st …
Daniel R. Collins's user avatar
8 votes

How to teach a student algebra who misses too much previous knowledge?

The student in the question here is very similar to many (most?) of the students that I get in remedial college elementary algebra courses. In particular, if they don't have basic arithmetic skills, i …
Daniel R. Collins's user avatar
5 votes

Fixing wrong ideas about coefficients (e.g. subtract 3 from 3x to isolate x)

A thing that I do in my low-level college courses is to spend a beat with each new example/exercise to inspect the statement and make sure we all agree with what we're looking at. "What operations are …
Daniel R. Collins's user avatar
4 votes

Students can't seem to grasp the intent of tangent lines and getting general trends of deriv...

Time permitting, I would want to quiz them on whether they intuitively understand slope and tangent lines in the first place: See if they can answer speed-drills on graphing basic lines. This is one …
Daniel R. Collins's user avatar
4 votes

For students who don't have instant recall with basic arithmetic, should I be stubborn about...

As I said in a comment, the quiz website you describe sounds a lot like mine at Automatic-Algebra.org. One chief reason that I made that site was because I saw students in my college remedial algebra …
Daniel R. Collins's user avatar
18 votes

Advice on teaching abstract algebra and logic to high-school students

Here's my advice. I have no teaching experience. Remedy that first before you lay out plans for a 6-month course of study. Find some way where you can teach just for a single day in some way at the …
Daniel R. Collins's user avatar
28 votes
Accepted

Students understand during course but can't solve exam

Do NOT give exam questions that are intentionally more challenging than homework or in-class problems. I would recommend precisely the opposite. The point of the exam is really a spot-check that stu …
Daniel R. Collins's user avatar
9 votes
Accepted

Material on tutoring university level math classes

I am very fond of the book by Steven G. Krantz, How to Teach Mathematics, published by the American Mathematical Society (AMS), now in its 3rd edition. The book is mostly aimed at professors and lec …
Daniel R. Collins's user avatar
29 votes

Tutoring a recalcitrant/awkward/exasperating student---special needs?

How do I reach [this] kid? Let me be blunt: You probably don't. This is a person who is so intransigent that you effectively need to black-tag them. A hard lesson is that you can't save everyone. …
Daniel R. Collins's user avatar
15 votes
Accepted

Tutoring elementary student who reverses left and right

I think I need a simple graphic mnemonic he can use to remind himself which side the ones column goes on, and which direction we go in order to get bigger numbers. Suggestion: Start making ro …
Daniel R. Collins's user avatar
11 votes

How to Teach Adults Elementary Concepts

Any advice for teaching simple concepts and rules to adults, specifically working with negatives or proper application of PEMDAS? This will be an adjunct to mweiss' answer, which I fully agree …
Daniel R. Collins's user avatar
18 votes

How to cure students from the idea that root and squaring are identity operators?

Late answer, but since it comes up every semester I have a stock response that I'd like to share. The most common mistake in this vein is for a student to write $\sqrt{16} = \sqrt{4} = 2$ or $\sqrt{81 …
Daniel R. Collins's user avatar