Your child’s homework and tests may cover the same math, but they measure different skills.
Homework shows what your child can do soon after a lesson, with notes and examples close by. On a test, your child has to recall the steps and apply them alone, days or weeks later. That difference can surprise families when good homework grades don’t carry over to test day.
Today, we look at three reasons students who ace math homework can still fail tests, from mixed problem types and the help available at home to the pressure of test day.
We’ve also gathered free math resources for Crystal Lake families, along with how our team at Mathnasium of Crystal Lake can help.
Most math homework sets focus on the lesson taught that day. Some include a few review problems or basic skills practice, but usually, problems on the page use the same strategy.
On a unit test, problems from several recent lessons appear side by side, and your child has to decide which strategy each one needs before solving it.
Say your child is learning fractions. Here’s how the same unit can look on homework and on a test:
Homework: One night focuses on addition, the next on subtraction, and the following one on multiplication. With each assignment, your child knows which skill to practice.
Test: All three operations appear together, along with word problems that require your child to figure out which operation makes sense.
Researchers at the University of South Florida tested whether the way homework is arranged affects later test scores. Their randomized classroom trial included 787 seventh graders in 54 math classes.
Some classes practiced with mixed problem sets. The others worked through the usual homework format, one problem type at a time. At least a month later, all the students took the same test. The mixed-practice classes scored 61%, while the classes that practiced one type at a time scored 38%.
These results suggest that knowing how to solve individual problem types isn’t always enough. Students also need to recognize which method each question requires, and that takes practice too.
You can bring mixed practice into homework time by adding two or three problems from earlier lessons to tonight’s assignment. Before your child solves each one, ask them to name the type of problem and the strategy it needs.
At home, your child can check notes, look back at a worked example, ask you a question, or take a little extra time. During a test, those helpful reminders are usually unavailable, and a learner must decide where to begin and how to proceed without them.
Although it can be fulfilling to help your child succeed, those small moments of help can also make it hard to tell whether they could have found the answer by themselves.
Researchers looked at how this kind of help relates to test performance. In a study of more than 7,700 adolescents, students who did math homework on their own scored 54 points higher on a standardized math test than those who frequently had help.
You can help your child build independence without leaving them stuck.
Give them time to try a problem before offering a hint.
Ask questions such as “What do you already know?” or “Which step would make sense to try first?”
If they get stuck, guide them toward the next step without solving the problem for them.
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Math anxiety is a feeling of worry, tension, or fear about doing math. It can make working through a problem stressful, even when a child has the skills to solve it.
It doesn’t develop for just one reason. Repeated struggles, discouraging experiences, pressure to perform, and messages such as “I’m not a math person” can all contribute. Some children are also more prone to anxiety generally, which can shape how they feel about math.
A test can bring those worries to the surface:
Their mind goes blank on a problem they know: Your learner may solve a problem correctly at home but suddenly forget what to do during a test. Worry can make it harder to keep the numbers and steps in mind while solving. Researchers at Cleveland State University found that as math anxiety increased, participants had more difficulty solving problems.
They worry about what classmates will think: Some learners may feel embarrassed about finishing last or earning a lower grade than their friends, and that added pressure makes it harder to concentrate.
They rush or freeze when time is limited: A ticking clock can make your child feel they must solve every problem quickly. Some children rush and make careless mistakes, while others panic and can’t get started. In a University of Cambridge research project, researchers found that time pressure increased signs of stress in people solving math problems. Even a child who understands the material may find it hard to show what they know when they feel rushed.
A few habits can help them stay focused when a test feels stressful.
Remind them that everyone makes mistakes and that one difficult question does not decide the outcome of the whole test.
Let them know that your pride in them doesn’t depend on a test score.
Encourage them to skip a difficult question and come back to it later, keeping their attention on their own work rather than on how quickly classmates finish.
At home, practice problems in a calm setting and praise effort and careful thinking.
Every learner is different, so your child’s worries may not match the ones we mentioned. They may be afraid of disappointing a teacher or of falling behind in class. If you notice that your child seems more anxious before tests, a calm conversation about what’s on their mind is the best place to start.
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When your child consistently gets their math homework right, it can be difficult to know where they need extra help or what kind of support would make a difference. Even with several listed reasons behind low test scores, finding the right approach can feel like a challenge.
Crystal Lake families have several options, from free library programs and school-based resources to specialized math learning centers. The best option depends on your child’s needs and the level of guidance you’re looking for.
Here are the options to look into:
Brainfuse HelpNow at the Crystal Lake Public Library: With a library card, your child can work with a live online tutor every day from 2 to 11 p.m., free of charge. The service covers both homework help and test prep, and it’s open to elementary, middle, and high school students.
D155 study hall and tutoring centers: Every D155 high school (Cary-Grove, Crystal Lake Central, Crystal Lake South, and Prairie Ridge) offers free math help during the school day, either in study hall or in the school’s tutoring center. Your teen can go anytime, not only after a low grade.
Mathnasium of Crystal Lake: Our math-only learning center at 28W Crystal Lake Plaza, across from Mariano’s, works with K–12 students in person and online. Every student starts with a diagnostic assessment that also helps us identify what may be behind the gap between their performance at home and at school. Based on these findings, we create a personalized learning plan that addresses each student’s needs and goals. Our specially trained tutors track progress and adjust instruction as students develop a deeper understanding of math and learn to apply their knowledge more effectively.
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Each student starts their Mathnasium journey with a diagnostic assessment, designed to identify their specific learning needs.
Mathnasium of Crystal Lake is a math-only learning center dedicated to helping K–12 students of all skill levels excel in math.
We work with families across Crystal Lake, Huntley, and Algonquin, including students from Hannah Beardsley Middle School, Richard Bernotas Middle School, and Lundahl Middle School. In our tutoring sessions, we help students understand math concepts well enough to recall the steps and choose the right strategy, so what they know at home carries over to test day.
To support that understanding, we use the Mathnasium Method™, our proprietary teaching approach, to meet students where they are and guide them forward step by step.
Each student begins with a diagnostic assessment that helps us understand their current skill level, knowledge gaps, goals, and how they think and feel about math. It also helps us see what they already understand, which methods they are using, and where classroom expectations may feel unclear.
Using these insights, we create a personalized learning plan focused on the skills the student needs most. That may mean reinforcing an earlier concept or building the reasoning needed to solve math problems more independently.
Our specially trained tutors follow the plan closely and provide live, face-to-face instruction in a caring and fun group environment, both in-center and online. They use mental, verbal, visual, tactile, and written techniques to explain concepts in more than one way and help students understand the how and why behind each step.
Students can also bring homework questions to their sessions. Our tutors use guiding questions and clear explanations to help students work through unfamiliar topics without simply giving them the answer.
Students get room to think before tutors step in. They learn to explain their reasoning, compare approaches, and check whether an answer makes sense. This helps them adapt to different classroom methods while building problem-solving skills and greater independence in math.
Fun is an important part of our approach, too. Game-based activities, rewards, and consistent encouragement help students stay engaged as they develop clearer, more flexible mathematical thinking.
The results speak for themselves:
94% of parents report an improvement in their child's math skills and understanding
93% of parents report their child's improved attitude toward math after attending Mathnasium
90% of students saw an improvement in their school grades
With over 1,200 learning centers across North America, there is likely a Mathnasium close to you.
If your child does well on homework but test scores stay low, a free diagnostic assessment is a great first step. It helps us understand your child’s current skill level, learning goals, and how they learn best. From there, we build a personalized learning plan that helps them master the skills they need to show what they know on test day.
📅 Schedule a Free Assessment at Mathnasium of Crystal Lake
Not located near Crystal Lake?
Mathnasium of Crystal Lake is a math-only learning center for K-12 students in Crystal Lake, IL. Trusted by over a million parents, Mathnasium uses personalized learning plans and the proprietary Mathnasium Method™ to help students catch up, keep up, and get ahead on their math journey.
Our specially trained tutors deliver face-to-face instruction in a supportive and fun small-group environment, working with students to develop a deep understanding of math, build confidence, and improve academic performance.
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(815) 526-3453
(815) 526-3453
