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# Questions tagged [division]

For questions regarding the arithmetical operation of division. For question specifically concerning the use of fractions, please consider the (fractions) tag.

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7 votes
4 answers
1k views

### How is $\frac{a}{b}$ interpreted?

I was having a discussion with a colleague who is in the process of writing some curriculum, and we ended up having a discussion about what $\frac{a}{b}$ (with all the standard restrictions) meant. We ...
11 votes
8 answers
8k views

### Is short division taught these days and if not, why not?

tl;dr I'm interested in opinions on short division. Below I discuss my experience dealing with young children and long division versus short division. For those that don't know of it, wikiHow has a ...
5 votes
4 answers
2k views

### Is there a way to extend the analogy that fractions means "x out of y" to show that fractions are also dividing?

When explaining fractions to my kids, I've used the analogy that $\frac{a}{b}$ means "you want $a$ out of every group of $b$ (of the thing you're finding a fraction of)." E.g. $\frac{3}{4}$ ...
5 votes
4 answers
580 views

### Is This Trick Helpful?

I am no professional educator; I am a student myself! But apparently I come up with useful tricks that help my younger brother do better in maths. I just want to hear your feedback, is all. My younger ...
5 votes
3 answers
1k views

### Determining the first digit of the Quotient using hand long division efficiently?

For instance in the following problem: _____ 48)4368 To determine an initial 9 for the first number in the Quotient, you ...
36 votes
17 answers
10k views

### Dividing by zero

I was having a discussion with a friend and fellow mathematics teacher the other day when the topic of dividing by zero came up. She is the department head and had this in a questionnaire she gave to ...
9 votes
0 answers
354 views

### Long division layout in French-speaking Switzerland

This question is addressed to those familiar with mathematics teaching in French-speaking Switzerland. The main textbook in use in grades 3 to 5 in the canton of Vaud from 1957 to about 1972 appears ...
-2 votes
1 answer
130 views

### How to solve the simple elementary school math issue--calculate increase rate [closed]

A company report its net profit 1,000,000 in 2000,and earned 1,100,000 in 2001,so the earning increase rate from 2000 to 2001 is as below: ...
3 votes
3 answers
237 views

### What are strategies that a 10-13 year old could use to convert 6/27 into decimal notation?

Background: I am working with 10-13 year olds. I saw a problem which requires the students to convert $6/27$ into decimal notation. I can think of some methods, but I have not tested using any of the ...
12 votes
7 answers
2k views

### How to teach quick multiplication and division in head?

I recently started giving maths lessons and it seems like I am at my wits end. My own background is: I'm a masters student in physics, already did several tutorials for younger students, especially ...
11 votes
1 answer
12k views

### When and Why are different division symbols taught?

There are 4 division symbols that I have learned/taught. Below is 18 divided by 3, shown with 4 different symbols. This question was sparked by the comments on my answer to the question on examples ...
8 votes
3 answers
2k views

### Commonly taught method divides by zero

I just saw this question and the two answers. Now I am very sure that if many teachers see these answers they would accept them. Unfortunately they are deeply flawed. The second one is clearly invalid ...
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