Can 3D Design Help Children Make Sense of Math?

A child can remember that volume involves multiplying three dimensions and still struggle to explain why. A drawing on a worksheet may conceal the layers inside a solid. A physical model can reveal them, while a digital model offers another way to rotate, separate, and examine the structure.

The educational question is which representation helps students connect what they see with the mathematical relationship. New classroom research on 3D design gives teachers a useful reason to explore that connection carefully. The goal is understanding that carries into a different problem, rather than an impressive object on a screen.

A recent study focuses on volume

A study published October 31, 2026 compared Tinkercad-based instruction with concrete learning materials among 54 fourth-grade students at one school in Surabaya, Indonesia. Researchers used a quasi-experimental pretest and posttest design with non-equivalent groups.

The students learning with 3D design showed greater improvement in conceptual understanding of rectangular-solid volume, with a moderate reported effect. Students also reported positive responses to the visual and exploratory features. Those responses are a different measure from the conceptual-understanding assessment. The setting, sample, and specific mathematical topic limit how widely the result can be generalized. It does not establish that digital materials are generally better than physical ones.

The useful possibility is narrower: an interactive model may help some students examine relationships that are difficult to infer from a flat picture. Teaching still has to direct attention toward those relationships.

Make the units visible

Consider an illustrative lesson using a rectangular solid three cubes long, two cubes wide, and two cubes high. Students can build one layer of six unit cubes, add a matching layer, and explain why the complete solid contains twelve cubes.

The formula then describes a structure they have investigated. Length and width count the cubes in a layer. Height tells them how many equal layers there are. Asking students to explain each factor gives the teacher more information than checking the final product alone.

A digital model could allow the class to rotate the solid, reveal a hidden side, or compare a complete model with an unfinished one. A physical version gives students another way to handle and count the same units. Comparing the two may reveal a misconception that either representation alone leaves hidden.

Change one feature and ask for a prediction

Before students manipulate a model, ask what will happen if one dimension changes. If height doubles while the base stays the same, how should the volume change? Which part of the structure explains their prediction?

After testing, students can draw or write an explanation. A correct screen display is useful evidence to discuss, but it should not replace the learner's reasoning. Students need opportunities to connect the image, the units, the calculation, and the language used to describe it.

Teachers can also use a deliberately incomplete model. If a few internal cubes are absent, does multiplying the outer dimensions still give the number of cubes present? This makes the assumptions behind the calculation visible and offers worthwhile challenge for students who already know the formula.

Keep the design task manageable

A new interface can consume the attention intended for mathematics. Students may spend substantial time choosing colors, adjusting a camera view, or recovering from an accidental click. These activities can have value in a design lesson, but they may compete with a lesson focused on volume.

Start with a prepared model and a small number of controls. Teach the required actions before asking students to investigate a new relationship. A shared screen or paired activity may be sufficient for an initial lesson; every child does not need to master a full design environment first.

Three-dimensional printing is a separate decision. A class can investigate many relationships through digital models and ordinary cubes without printing an object. Schools considering a printer should identify what the physical output adds to the learning purpose.

Plan for different ways of seeing and working

Provide alternatives for students who find spatial displays, fine motor controls, or the interface difficult to access. Physical cubes, enlarged diagrams, verbal descriptions, and supported manipulation can help learners investigate the same mathematical idea.

Encourage partners to rotate responsibilities. One student should not become the permanent device operator while another simply records answers. Each learner can predict, explain a change, and describe the structure using a representation they can access.

Look for understanding beyond the model

Finish with a different rectangular solid, an unfamiliar diagram, or a request to build two solids with equal volume. Ask students what stays the same and what changes. Their explanations can show whether they understand volume as a relationship among units and dimensions.

A useful pilot compares learning evidence with the preparation and access demands of the activity. Begin with one concept, a familiar physical representation, and a digital model that reveals something useful. Then check what students understand when neither model is in front of them.

Illustrative image generated with AI.