Number sense is a child's ability to work with numbers flexibly. It’s about understanding how numbers relate to each other instead of just memorizing facts. A strong number sense helps kids solve problems and grasp math concepts deeply.
Research from the National Home Education Research Institute (NHERI) shows that homeschooled students typically score 15 to 25 percentile points higher than public school students on standardized academic achievement tests. Most homeschool families report completing core academic subjects in 3-4 hours per day for elementary students, compared to the 6-7 hours typical of traditional schools, due to the one-on-one instruction and absence of classroom management overhead (NHERI, 2024).
What is number sense?
Number sense is all about how easily kids work with numbers. It's not just memorizing multiplication tables or rushing through tests. It's a deeper understanding of how numbers fit together. For example, a child with good number sense realizes that 8 is near 10, or that 15 can be split into 10 and 5. They know multiplying by 9 is like multiplying by 10 and then taking one away. Stanford's Keith Devlin calls number sense one of the most important math skills today. Studies show it's a strong predictor of future math success.
Number sense vs. memorization
Think about a child faced with 7 × 8. If they only memorize, they might get stuck if they forget the answer. A kid with number sense might say, '7 × 7 is 49, and adding one more 7 makes 56.' Or they could think, '10 sevens are 70; take away 2 sevens, and you get 56.' Both kids find the right answer, but the second one can adapt when they forget. Memorization isn’t bad; it just shouldn’t replace understanding.
Practical strategies for homeschoolers
You can help your child develop number sense through conversation and play, not just worksheets. Start your math time with a quick 'number talk' where they share different ways to solve a problem. Use dice, dominoes, or ten frames for practice. Try cooking together using fractions, or talk about prices when grocery shopping. Play board games that require counting and strategy. Instead of asking, 'Is that right?' ask, 'How did you figure that out?' And if your child counts on their fingers, that’s okay! Finger counting is a normal part of learning and will fade as their number sense grows.
The bottom line
Number sense is what sets apart a kid who can do math from one who truly understands it. It develops through hands-on experiences, exploration, and math talk, not just from drills or worksheets. The great news for BetterSchool users is that your one-on-one setup is perfect for building number sense. You can see where they struggle, weave math into daily life, and adjust the pace to fit them. Programs like RightStart Math and Math-U-See focus on developing number sense, but you can enhance it with any curriculum through games and conversations.
