It's all about practice. For some, it's easier to create something competitive from it. Some of my students really enjoy challenging me, because they are at that age in life where they want to stick it to "the man". So we do 60 second times competition to see who can finish more.
At its core, learning this is boring. Having a benchmark that you work to improve, gamifying it, is the fastest way to improve. It's like typing or exercise, the fundamentals aren't cognitively taxing. I think it's a little harder to practice after you leave school, because there's no math or science class where you would immediately apply and practice what you learned.
There's no general solution that would work for every student, and not every student has the same weakness. The website I linked is genuinely one of my favorites, it's like duolingo for math, for free with no account needed. I think the second link will help build intuition behind the relationship between the numbers. All of the quizzes/games on this site are fantastic.
This is fantastic to understand numbers and primes. Start with multiplication/division. Then work with GCF, which is greatest common factor between two or more numbers, for example 24 and 36, 6 * 4 or 12 * 2 == 24 ; 6 * 6 = 36, 12 * 3; so the GCF of 24 and 36 is 12. GCF is a way to practice multiplication/division naturally.
Arithmetic puzzles are also a good way to get some practice where it's not just boring. Fermi questions are as well. There's more advanced algorithms for multiplying things like large numbers in your head, but in my opinion, an estimate is good enough for 99% of real life situations. Fermi questions help build an intuitive math sense that will be applicable to real life situation. For memorizing, using "tricks" is fine, like the 9 multiples all add up, looking at digits, to 9. 9 * 8 is 72 which is 7 plus 2. Multiples below 10 also start with 1 less than the digit that is not 9, so 8 - 1 = 7, and 7_ and the second digit adds up to 9, so 2, 72. I'll leave the rest as an exercise for reader. Good luck.
https://www.mathmammoth.com/practice/multiplication-table
It's all about practice. For some, it's easier to create something competitive from it. Some of my students really enjoy challenging me, because they are at that age in life where they want to stick it to "the man". So we do 60 second times competition to see who can finish more.
At its core, learning this is boring. Having a benchmark that you work to improve, gamifying it, is the fastest way to improve. It's like typing or exercise, the fundamentals aren't cognitively taxing. I think it's a little harder to practice after you leave school, because there's no math or science class where you would immediately apply and practice what you learned.
There's no general solution that would work for every student, and not every student has the same weakness. The website I linked is genuinely one of my favorites, it's like duolingo for math, for free with no account needed. I think the second link will help build intuition behind the relationship between the numbers. All of the quizzes/games on this site are fantastic.
https://www.mathmammoth.com/practice/sieve-of-eratosthenes
This is fantastic to understand numbers and primes. Start with multiplication/division. Then work with GCF, which is greatest common factor between two or more numbers, for example 24 and 36, 6 * 4 or 12 * 2 == 24 ; 6 * 6 = 36, 12 * 3; so the GCF of 24 and 36 is 12. GCF is a way to practice multiplication/division naturally.
Arithmetic puzzles are also a good way to get some practice where it's not just boring. Fermi questions are as well. There's more advanced algorithms for multiplying things like large numbers in your head, but in my opinion, an estimate is good enough for 99% of real life situations. Fermi questions help build an intuitive math sense that will be applicable to real life situation. For memorizing, using "tricks" is fine, like the 9 multiples all add up, looking at digits, to 9. 9 * 8 is 72 which is 7 plus 2. Multiples below 10 also start with 1 less than the digit that is not 9, so 8 - 1 = 7, and 7_ and the second digit adds up to 9, so 2, 72. I'll leave the rest as an exercise for reader. Good luck.