Summer Math Activities for Kids

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We started with pattern blocks when our kids were preschool age. As they developed the dexterity, we started using geoboards.

These types of hands-on math activities engage students in ways that traditional worksheets can’t. According to research published in The Journal of Educational Psychology, students who participate in tactile, manipulative-based learning show better problem-solving skills and retain mathematical concepts longer than those who engage with abstract instruction alone.

With my child who has dyscalculia, these hands-on experiences gave her something concrete to connect with abstract ideas.

One of the key advantages of using hands-on tools is how they support different learning styles. While some students do well with numbers on a page, others—especially visual and kinesthetic learners—grasp math concepts more fully when they can physically interact with them. This is where tools like pattern blocks and geoboards shine.

I also have an article about 40 math manipulatives with links to resources we have enjoyed–many I still own!

The Power of Pattern Blocks

In our homeschool, we started early with pattern blocks and counting cubes. Initial activities were very free form. A favorite activity for the kids was to dump the pattern blocks on our long homeschool table and build free form.

It was a great way to introduce geometry, fractions, symmetry, and spatial awareness. By combining shapes to create larger designs, they naturally learn how smaller units make up a whole. For instance, a child may discover that two green triangles make a blue rhombus, or that six triangles fit inside a hexagon—building early understanding of part-whole relationships and equivalence.

A study from the National Council of Teachers of Mathematics (NCTM) found that students who worked with geometric manipulatives like pattern blocks developed stronger spatial reasoning skills, which are critical for success not only in geometry, but also in STEM subjects like engineering and computer science. These visual-spatial experiences help children visualize transformations like rotations and reflections—skills that are difficult to grasp through numbers and symbols alone.

Geoboards: Stretching the Mind and Imagination

Geoboards were another favorite math manipulative with my kids. Again, we did a lot of “free play”. By stretching rubber bands around pegs, students can create a variety of shapes and explore concepts such as area, perimeter, angles, congruence, and coordinate geometry.

Using a geoboard encourages mathematical inquiry and problem-solving. For example, if a student is asked to make a square and then a triangle with the same area, they must think critically, test ideas, and revise their designs. These are exactly the kinds of habits mathematicians use every day.

Research has shown that the use of geoboards in early elementary grades helps build foundational understanding of shape properties and spatial relationships. A study published in

Early Childhood Education Journal showed that when students were allowed to use geoboards during math centers, they became more confident in describing geometric terms and were more likely to use math vocabulary correctly.

Bringing Hands-On Math Into Your Home or Classroom

You don’t need an expensive math lab to bring these tools into your learning space. Pattern blocks and geoboards are affordable, reusable, and available in both physical and digital formats. Whether you’re homeschooling, running a math center, or simply looking for a way to help your child enjoy math, these tools offer high engagement and high impact.

By encouraging children to build, explore, and discover with their hands, we support deeper mathematical understanding—and maybe even a lifelong love of learning math.

Download The Summer Themed Math Activities

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