IMG_1478 (700x393)IMG_1482 (700x392)IMG_1474 (700x395)IMG_1475 (700x394)IMG_1476 (700x394)IMG_1477 (700x394)IMG_1465 (700x394)IMG_1466 (700x395)IMG_1467 (700x394)IMG_1468 (700x392)IMG_1469 (700x392)IMG_1470 (700x392)IMG_1471 (700x392)IMG_1472 (700x393)IMG_1473 (700x392)IMG_1447 (700x394)IMG_1460 (700x392)IMG_1461 (700x392)IMG_1462 (700x392)IMG_1463 (700x393)IMG_1464 (700x394)IMG_1264 (700x394)IMG_1249 (700x394)IMG_1250 (2) (700x394)IMG_1250 (700x394)IMG_1251 (700x394)IMG_1252 (700x392)IMG_1254 (700x394)IMG_1255 (2) (700x394)IMG_1255 (700x393)IMG_1256 (700x394)IMG_1257 (700x393)IMG_1259 (700x394)IMG_1261 (700x394)IMG_1245 (2) (700x392)IMG_1245 (700x392)IMG_1246 (700x393)IMG_1247 (700x394)IMG_1219 (700x394)IMG_1220 (700x393)IMG_1221 (700x395)IMG_1222 (700x393)IMG_1223 (700x394)IMG_1224 (700x394)IMG_1225 (700x394)IMG_1226 (700x393)IMG_1175 (700x393)IMG_1189 (700x393)IMG_1190 (700x395)IMG_1191 (700x393)IMG_1193 (700x395)IMG_1217 (700x393)

Featured

Goldbach Conjecture

In 1754, a mathematician named Goldbach had an idea that all even numbers greater than 2 (4,6,8,10 ...) is the sum of exactly two prime numbers. This idea called a "conjecture" has never been proven to be true, but has never proven to be false. All you would have to do is to find one even number greater than 2 that was not the sum of two prime numbers and the conjecture would be no more. If it is proven to be true, it would be called a "theorem." This is the oldest unproven conjecture.

Prime Numbers: Pattern Hunters

Mathletes are always hunting for patterns in prime numbers. These are the whole numbers that have exactly two factors: 1 and itself. For example: 5 is prime because it only has two factors: 1 and 5; 1 x 5 = 5. 6 is not prime (it is composite) because it has more than just two factors (1 and 6); it also has 2 and 3; 2 x 3 = 6.

Multiples and Divisibility Rules

There is nothing more basic about number theory than counting by a multiple of a number. We first learned how to count by multiples of 1 (1,2,3,4....).

Then we graduated to counting by 2s (2,4,6,8,10,..). It is surprising how well we do through 10 and then slow down at 12, 14, 16, ....

Multiples of five we do well through 100, then it slows down. Of course, there are the tried and true multiples of 10, which we do well up to 100 as well.

Digital Roots to Check Answers to Addition Questions

<!--[if gte mso 9]> <![endif]--> <!--[if gte mso 9]> Normal 0 false false false EN-US JA X-NONE

Digital Dilations and Roots

Digital Dilations: One of the challenges for young mathematicians is being able to write numbers in the appropriate size. Sometimes a number must be written to match another number on a page. When adding numbers vertically, numbers must be written precisely in the same font size lined up by the ones or units column.