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## New answers tagged tutoring

0 votes

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

Everything that doesn't involve variable; order of operations and operations themselves, types of numbers (odd, even, square, cubic, integers, prime etc), fractions (operations, GCD, LCM), ...
2 votes

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

I always tell my students that two of the main things that will mess them up are fractions and signs. Mastery of those is fundamental. Although since it was mentioned, the idea of automaticity is ...
8 votes

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

+1 all the above. I would add operations with fractions. No "strategies" for multiplication tables. Just know them cold, forward and backwards.
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56 votes

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

Automaticity on basic arithmetic. That is, the ability to carry out basic arithmetic effortlessly without conscious thought. Automaticity goes beyond capability, proficiency, and even fluency. Simply ...
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0 votes

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

Two things pop into my mind: Elementary set theory: the meaning of sets, subsets, unions and intersections, including Venn-diagrams, must be something they play with. Calculating by heart: nothing as ...
• 2,119
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 ...
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1 vote

### How to round numbers?

Are you aware there's a difference between the sciences "mathematics" and "physics"? In mathematics: $3 = 3.0$. In physics: $3 \ne 3.0$. As explained in some other answers, the &...
• 2,119
1 vote

### How to round numbers?

It is true that $3=3.0$. It is also true that $3.4$ is approximately equal to $3.0$. Mathematically, it doesn't make any difference whether you use the approximation $3.4\approx 3$ or $3.4\approx 3.0$ ...
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6 votes
Accepted

### How to round numbers?

Suppose you measured a line segment with a metric ruler, but the ruler only had marks at whole numbers of centimeters: With this lack of precision in your measuring instrument, the best you could say ...
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3 votes

### How to round numbers?

3.0 means you know something about the tenths place (which you don't know for 3). It means that your actual number is between 2.95 and 3.05. And 4.17 would mean that your number is between 4.165 and 4....
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