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Questions tagged [arithmetic]

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-6 votes
3 answers
255 views

The value of homogeneous divisibility rules and of a numeration

Everyone knows about several divisibility rules. But any teacher knows how difficult students are even with the criterion of three in base ten. For example, many teachers have encountered the classic ...
Stéphane Jaouen's user avatar
0 votes
1 answer
297 views

Understanding common multiples

Imagine a class of students who don't know what smallest common multiples (LCMs) are, or indeed what multiples are. (Notice I said "smallest" rather than "least" so as to avoid ...
Michael Hardy's user avatar
-1 votes
2 answers
164 views

I'm in dilemma while solving arithmetic problems [closed]

I'm competitive exam student learning Quantative aptitude what should i choose over solving more questions and skipping the one i can't solve or spending hours on one question till i solve it and then ...
Abhishek's user avatar
2 votes
2 answers
277 views

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

As a maths tutor, some students I have tutored don't just make the odd mistake in arithmetic (including fractions) and algebra: they make every possible mistake and regularly. My go-to approach for ...
Adam Rubinson's user avatar
13 votes
9 answers
2k views

Is it meaningful to add a number to itself a fractional number of times?

(Migrated from the math stack exchange, where I received an apt-seeming suggestion to pose the question here, at the math-educators stack exchange) I introduce my young kids to basic math concepts in ...
StoneThrow's user avatar
11 votes
3 answers
2k views

Arithmetic books for adults

I'm trying to learn arithmetic from scratch again. Even though I can use it, I'm not sure if I can teach it to someone and I believe if you can't teach something properly, there might be loopholes in ...
Harshit Rajput's user avatar
2 votes
3 answers
552 views

Reduction of fractions

Last night I was fiddling with some equations and admittedly, I made a careless mistake because I was exhausted. However, in doing so, I began to question the process of what I used to understand as &...
Oofy2000's user avatar
  • 153
11 votes
4 answers
500 views

For students who don't have instant recall with basic arithmetic, should I be stubborn about training them to have instant recall before moving on?

I'm a maths tutor, and my students/tutees are aged $11 - 18.$ Obviously I have limited time with students, usually one hour per week. Moreover, if parents don't see improvement over a year or two they ...
Adam Rubinson's user avatar
10 votes
2 answers
422 views

Is it normal for a child to strongly prefer addition to subtraction?

My six-year-old daughter enjoys addition but not subtraction. When we walk together, I like to give her some "mental mathematics" questions, such as "What is 13 plus 33" and she ...
Zuriel's user avatar
  • 4,275
4 votes
1 answer
186 views

Are ‘constant difference’ and ‘common difference’ synonymous?

I’ve seen at least two phrases to describe a fixed difference between two numbers, i.e., “constant difference” and “common difference.” For example, if Sibling A is 10 years older than Sibling B today,...
EJ Mak's user avatar
  • 329
3 votes
3 answers
263 views

How to train facility with numbers?

I have a student (age 14) who is valiantly striving to improve his algebra. He knows the "rules", and he more-or-less manages to apply them correctly, and hence is generally able to tackle ...
Prime Mover's user avatar
2 votes
3 answers
445 views

How many zeros do we need to add to get a nonzero value?

A student (kid) of mine asked this question to me. I am not sure what to make of it or how do I answer it. How many zeros do I need to add to get a non-zero value? ...
Ashish Shukla's user avatar
-4 votes
1 answer
182 views

Is there an **official** name for the following "digit reduction" operation? [closed]

In one of my programs I have a function I call reduce(n) which associates to n the recursive sum of ...
mszmurlo's user avatar
  • 135
64 votes
17 answers
9k views

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

I have been professionally tutoring a wide range of students (from elementary school through graduate school) for many years. Most of them are from the United States. I generally focus on helping my ...
Geoffrey's user avatar
  • 898
5 votes
1 answer
246 views

Sensible amount of repetition 7 year old

We are now in lock-down, so while homeschooling my son I get to se exactly what he does for math. He has been getting a huge amount of repetitive practicing of really simple math, despite being quite ...
Ivana's user avatar
  • 53

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