09/28/2026
“Why do I need to know how to do this when I can use a calculator?” It’s a reasonable question. Adults use calculators constantly. Engineers, accountants, scientists, and mathematicians use technology to do their work.
The goal of learning math computation is to build the mathematical knowledge that lets you use a calculator intelligently. Regularly working with numbers helps students develop number sense and recognize relationships among numbers and operations. Students learn to recognize relationships among operations, whether an answer should increase or decrease, and approximately what an answer should be. Working through mathematics by hand also gives students opportunities to see the mathematical structure behind the calculations.
Another important reason for developing fluency is that working memory is limited. Working memory is the mental space we use to hold and manipulate information while solving a problem. Math can place heavy demands on that space because students often have to remember several pieces of information while deciding what to do next. When basic skills such as addition, multiplication, fraction facts, or common procedures become automatic, they require much less conscious attention. That frees students' working memory to focus on the new and more complex math in front of them. Research has consistently found a relationship between working-memory capacity and mathematics performance, particularly on tasks requiring arithmetic and mathematical problem solving. Also, prior knowledge supports new learning. What a student already knows fluently can reduce some of the cognitive burden of a new problem.
Developing this automaticity requires repeated retrieval over time. A child doing something correctly three times on Tuesday doesn’t necessarily have it available three months later. Skills need to reappear after delays so that students learn to retrieve and use them when needed.
Fluency with basic mathematics also makes more advanced math easier to learn. Students will eventually encounter problems with multiple layers of thinking. Strong math computation abilities allow students to estimate when needed. Estimation allows students to catch mistakes. Students who estimate can catch decimal-entry errors, unreasonable answers, and wrong operations. A calculator can perform the calculation entered into it, but the student still needs enough mathematical knowledge to determine whether the calculation and its result make sense.
Calculator use should depend on the learning goal. Calculators become increasingly useful when computation is no longer the skill being taught. As students advance, calculators become tools for mathematics that would otherwise be unnecessarily cumbersome. They let students devote more attention to the higher-level mathematics they are actually studying. Students should first develop the foundational knowledge and fluency appropriate to their level. Once computation is no longer the learning objective, calculators can help students tackle increasingly sophisticated mathematics.
What should my child know without a calculator? Depending on age, students should develop strong fluency with things such as:
· Addition and subtraction facts
· Multiplication and division facts
· Place value
· Common fraction/decimal/percent relationships
· Enough mental math and estimation to recognize whether an answer is reasonable
· Basic operations with whole numbers, fractions, and decimals
When basic skills aren’t fluent, don’t simply hand the student a calculator. Identify the missing skill and strengthen it.
At Soar Educational Services, we help students strengthen foundational skills, close learning gaps, and build the skills needed for more advanced work.