There’s one key difference between kids who excel at math and those who don’t
qz.com
qz.com
My current work is teaching advanced mathematics classes to elementary-age learners in a supplemental program (year-round, locally) and advising parents on the education of precocious learners of mathematics (two weeks each summer, as part of an international summer program). So I try to keep up with the voluminous research on mathematics education. Learner attitudes are crucial. The job of a teacher is to help build successful learner attitudes.
For parents, I have posted online a set of FAQs on mathematics instruction,
"Problems versus Exercises"
http://www.epsiloncamp.org/ProblemsversusExercises.php
"Repetition and Practice"
http://www.epsiloncamp.org/RepetitionPractice.php
"Resources about Learning Mathematics"
http://www.epsiloncamp.org/LearningMathematics.php
"Courage in the Face of Stupidity"
http://www.epsiloncamp.org/CourageandStupidity.php
with the FAQs intended to help parents impart to their children attitudes and study habits that will build more success in learning mathematics. The level of mathematics expected of learners in United States senior high schools is not particularly hard--it is the level expected of junior-high-school students in several parts of east Asia and some parts of Europe. But initial poor preparation in mathematics in elementary school[1] often hobbles United States learners as they grow up into high school age.
[1] http://www.ams.org/notices/200502/fea-kenschaft.pdf
http://diyhpl.us/~bryan/papers2/Word%20problems%20in%20Russi...
As a musician, I've heard so many people say "I'd love to be able to play [instrument], but I just don't have musical talent", when in reality it was caused by an uninspiring teacher, or lack of practise.
People who say this do not love playing an instrument. They love the romanticized idea of playing an instrument.