02 SEP 2016 by ideonexus

## Mathematical Cue Words

Addition: add, plus, sum, total, altogether, increased by, grew, gained, total of, combined, more than (as in, “3 more than 7 is 10”), put together, in all Subtraction: minus, take away, diff erence, less than, from, remove, subtract, gives away, sells, loses, fewer than, decreased by, diff erence between Multiplication: product, times, doubled (tripled, etc.), some problems give information about one and ask for total amounts (also, when dealing with multiplication of fractions, of us...
1 notes

13 MAR 2014 by ideonexus

## We Teach Kids Mathematics in the Wrong Order

The familiar, hierarchical sequence of math instruction starts with counting, followed by addition and subtraction, then multiplication and division. The computational set expands to include bigger and bigger numbers, and at some point, fractions enter the picture, too. Then in early adolescence, students are introduced to patterns of numbers and letters, in the entirely new subject of algebra. A minority of students then wend their way through geometry, trigonometry and, finally, calculus, w...
Folksonomies: education mathematics art
Folksonomies: education mathematics art
1 notes

The slow accumulation of basics turns kids off to the subject.

26 MAR 2013 by ideonexus

## Mathematics is More Popular Than Music and Art

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. 'Immortality' may be a silly word, but probably a mathematician has the best chance of whatever it may mean." [* * *] A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. [* * *] The mathematician's patterns, like the painter's or the poet's, must be b...
Folksonomies: mathematics art beauty
Folksonomies: mathematics art beauty
1 notes

Mathematical ideas are more permanent in culture than artistic ones, and more people play in mathematical games without realizing it.

06 JUN 2012 by ideonexus

## Experiments of Fact and Quantity

Experiments may be of two kinds: experiments of simple fact, and experiments of quantity. ...[In the latter] the conditions will ... vary, not in quality, but quantity, and the effect will also vary in quantity, so that the result of quantitative induction is also to arrive at some mathematical expression involving the quantity of each condition, and expressing the quantity of the result. In other words, we wish to know what function the effect is of its conditions. We shall find that it is o...
Folksonomies: experimentation
Folksonomies: experimentation
1 notes

Quantity gathers numerical results, fact seeks the laws governing those results.