Sherwood Botsford
  • Member for 7 years, 3 months
  • Last seen more than a month ago
6 answers
9 votes
3k views
Math activities for fast-finishers
Accepted answer
18 votes

Stuff for fast finishers/gifted kids should be out of the stream --stuff that isn't what you're covering next week or next year. Look at puzzles -- especially geometrical ones. Graph theory -- ...

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2 answers
10 votes
363 views
Grading Computations vs. Grading Proofs: Is there a difference?
8 votes

I can't speak to linear algebra, but I did teach standard Euclidian geometry where it was almost all proofs. Many of the exercises were tantamount to the most recent proof, but drawn in a different ...

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5 answers
9 votes
972 views
Question formats for online tests, to deter cheating
4 votes

Thoughts: Student can't go back. You have to solve each question to the extent you are able, then move on. If you are unable, you can mark it "return later" But when you return you get a ...

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3 answers
17 votes
1k views
"Proof" meaning in maths and society
4 votes

Here's a few things that may help. Borrow a concept from science -- the notion of falsifiability. There repeated verification of a theory is just that -- verification but not proof. In science we ...

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2 answers
8 votes
659 views
How to address struggling readers in the mathematics classroom?
Accepted answer
4 votes

You can't build on sand. If they don't have the reading skills, you need to teach that first. (There is a strong temptation to go to the prior teacher of reading and beat them about the head and ...

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3 answers
11 votes
210 views
What to do when a math course needs too many shapes/figures and I'm not good at drawing?
3 votes

Several strategies: 1. Practice. Copy illustrations out of books. Start simple. Mix your practice: Draw small copies -- about the same size as the one in the book. Draw full page copies. Draw on ...

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5 answers
15 votes
1k views
Cost and benefits of compartmentalization in k-12 curriculum
3 votes

Decompartmentalize. Start the new chapter as written, then connect it back to things you did before. Also introduct things that you can't do yet with what they know so that there is mystery and ...

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10 answers
7 votes
2k views
How to explain fractions to 7 year old kid
2 votes

The numbers in a fraction are different parts of speech. Denominators are nouns. Numerators are adjectives. Denominators say 'what' Numerators say 'how many' This becomes somewhat more apparent in ...

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2 answers
3 votes
145 views
Teaching Mathematics rules or its applications
Accepted answer
2 votes

Forget the first option. If they didn't pick it up the first time, they won't this time either. The second option is far more likely to induce either fear or boredom with Math. Your mission here is ...

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9 answers
25 votes
8k views
How to justify teaching students to rationalize denominators?
2 votes

I like the historical example. Computationally division is lots slower than multiplication somewhat depending on the numbers. (A quick check shows 8-20 times slower) A good compiler would optimise ...

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5 answers
21 votes
6k views
Real time interactive whiteboard for tutoring math
1 votes

A short term fix that misses a lot of pieces is just a video conferencing app with a camera aimed down at a pad of paper. This is certainly the fastest way to push equations across the internet. ...

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1 answers
10 votes
179 views
Software to organize and track your exercises
1 votes

Word? Yuck. Ultimately you need a document management system, each exercise has to become it's own file, although you can cheat and put multiple similar exercises in the same file, then each ...

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1 answers
5 votes
76 views
Teaching online when living outside america
1 votes

Teaching Math online is non-trivial. 1. You need both some form of blackboard/whiteboard link that updates in near real time. (Delay of no more than a second or two.) 2. You need a good audio link ...

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2 answers
12 votes
437 views
Use of methods similar to Magdalene Lampert's at the college level?
-2 votes

Frankly I expect it to fail as an overall technique. There is a place for this sort of thing, but typically in any group one person does it, one might comment, the rest watch. And that is true where ...

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1 answers
-4 votes
252 views
About Rote learning
Accepted answer
-3 votes

Has it been studied? I don't know. Does it work? In my opinion, no. I have taught kids that came from asia where their math was done by rote. Their arithmetic skills were impressive, but when ...

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