4 votes

Is there a virtue to learning how to compute by hand?

I agree with many of the other answers, especially with the notion that one should to be able to estimate results of computations, which is essentially impossible without basic computation skills. ...
Jochen Glueck's user avatar
4 votes
Accepted

The value of homogeneous divisibility rules and of a numeration

This seems fun, but this particular example is $3|21$. If a student isn't sure about $3|21$ they could rely on other facts they do know, such as $3|15$ and $3|6$, to conclude. Let's do a more ...
Steven Gubkin's user avatar
3 votes

I'm in dilemma while solving arithmetic problems

There is a “middle way” between sinking hours into a problem and skipping it completely. Spend a certain amount of time on the problem, document what you did and what your blockers were, and then seek ...
Steve's user avatar
  • 1,514
2 votes

The value of homogeneous divisibility rules and of a numeration

First I object to "But any teacher knows how difficult students are even with the criterion of three in base ten" This is against my experience. Then I see that to find out that PASCAL is ...
trula's user avatar
  • 449
2 votes

Scepticism as the cornerstone for not making mistakes in arithmetic/algebra etc, especially for students who relentlessly make every possible error

In part agreeing with @fedja's comment... but perhaps aggressively pursuing the idea wanting to have your students look critically at "feelings/impulses". Namely, I am not a fan of math-as-...
paul garrett's user avatar
  • 14.6k
1 vote

Understanding common multiples

I think you make it more difficult for students by introducing the "multiples" not as multiples, but by continual adding, also since 77*63 is an easy solution you are not going in the ...
trula's user avatar
  • 449
1 vote

I'm in dilemma while solving arithmetic problems

If you're solving questions that are so easy and familiar that solving them requires no thought, or so difficult that you can't solve them or solving them requires hours of thought, then that ...
Justin Skycak's user avatar
1 vote

Scepticism as the cornerstone for not making mistakes in arithmetic/algebra etc, especially for students who relentlessly make every possible error

I'm sorry, but I find your attitude towards your students somewhat disturbing. In particular: This is algebra/arithmetic. This is not proof writing, which is a skill that you improve with over time. ...
Peter Flom's user avatar
1 vote

Is there a virtue to learning how to compute by hand?

Let me tell you the story of my father and the number 5.8: My mother had a shop in Belgium, very near to the French border. This happened in the time before the Euro currency was introduced. Normally ...
Dominique's user avatar
  • 1,947
1 vote

What's the best technique to do math calculations in my head?

Are you aware of this one: $(a+b)\cdot (a-b)=a^2-b^2$, which means nothing else than that the product of two numbers equals the difference of the squares of the average and the distance to that ...
Dominique's user avatar
  • 1,947

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