Making Mobiles Brings Opportunities to Build and Enhance Student Understanding of Math Concepts

Seedlings' math facilitator and Fourth Grade Teacher Denise Quinn walks us through all the ways in which to find math in art and nature.

Ask many an artist and they will tell you art and math can go hand in hand. Art in all forms incorporates perspective, proportion, balance, measurement, and more. Artistic creations offer a fun, hands-on, student driven approach for learning and applying math concepts. Seedlings’ math facilitator and fourth grade teacher Denise Quinn has been showing Seedlings workshop attendees how to find math in everyday nature and art (and beyond) for many years. Each summer, Denise walks teachers through all the ways in which math, when viewed through the lens of art and nature, can be approachable, accessible, relatable and applicable for students and teachers alike.

Creating mobiles is one such project that lends itself well to middle and upper elementary school math. The activity allows students to apply math in a way that’s relevant to them as they design and build their mobile. Mobiles can be built from a variety of materials, including natural materials like small stones, acorns, shells, and twigs. As students consider and collect materials they will be using for their mobiles, encourage them to think about the weight of the objects they are selecting to include in their mobiles.

Estimating, Weight Distributions & Balancing Equations

Mobiles are really about weight distribution, so before students start planning their mobiles, encourage them to find items of equal weight to one another, or when combined, equal the weight of another object they want to use. For instance, if a student selects a rock to include in their mobile, they likely might find another similar rock to balance the mobile on the other side. Alternatively, students could decide that they want to include some shells or acorns, and depending on the type and size of shell, students may find that they need two or more lighter objects to balance the one rock.

Consider having a kitchen scale or a balance scale available so students can test their estimates of object weights. You can make a homemade balance scale by using something as simple as a clothes hanger and two disposable cups connected with twine (equal lengths) or a shallow box top with a soup can attached to the bottom of the box.

Ask students, “What do you wonder?” Or “What do you observe?” As students are considering different objects to include in their mobiles, this is a great time to talk about concepts such as weight distribution, dimensions, volume, and mass, as well as basic algebra. Some students may make the connection that objects do not have to be the same dimensions or size to weigh the same; in fact, some objects of the same size may way vastly different from one another. For instance, a whiffle ball and a baseball are about the same size, but the baseball will be much heavier. As students are balancing their mobiles, there will naturally be questions like, if you have 1 rock (R), how many shells (S) will it take to equal the weight of one rock? Depending on your grade level, this could lead up to introducing algebra, which is all about balancing equations.

Data Analysis, Graphing & Percentages

Mobiles (and other 3D or collage art) make for a great visual platform for data analysis. After students have completed their mobiles, have them break down the types of materials that they’ve used. How many items are in the mobile in total? How many stones, shells, acorns, etc? What percentage of your mobile is made up of shells? For younger students, Denise uses scrap construction paper, cut into squares. Each color can represent a different type of material. So pink could be seashells, gray could be rocks, brown could be acorns, green could be flowers, and so forth. From there, students can make a visual graph using those paper scraps to represent the materials used in their mobiles. If students can actually physically see what they used for their mobiles, they will be able to identify what percentage of their mobile is acorns, what percentage is flowers, what percentage is shells, and so forth.

Other Concepts to Integrate with Art

The possibilities of incorporating math and art are endless. You’ll find students gaining more confidence in their abilities to understand and apply math skills within the curriculum. Here is a short, and by no means complete, list of other math concepts that can be addressed through art:
  • Basic Financial Literacy

    Bring the concepts of money, dollars and cents, value, spending, trading and budgeting into your classroom’s mobile projects. Set prices for materials and ask students to create a mobile that cost an exact amount of money. Have students consider what their mobiles might cost is someone were to buy them and explain how they came up with their pricing. Students can barter for materials and skill sharing when making their mobiles.

  • Units of Measurement

    Along with considering weight, students can use a ruler or measuring tape to measure length of the twine they’ve used in their mobiles and the basic dimensions of their mobiles.

  • Scale and Multiplication

    If I had to scale my mobile to three times as big, what would change? How would that impact proportions, the amount of materials, and the cost?

  • Probabilities

    What is the probability that I can find all the materials for my mobile on the school grounds? What is the probability that everyone in our class will use acorns in their mobiles?

Tips & Considerations

An Overview of Integrating Math Concepts into Art and Nature

Each summer, teacher and Seedlings math facilitator Denise Quinn teams up with artist and educator Dita Carley and Cold Spring School teacher Franciela Boeding to show teachers how to see math beyond pencil and paper. Building on the guiding lens of the workshop, Dita and Franciela fill a large table with easy-to-find natural items for creating meaningful works of art. Those works of art are often depicting what participating teachers are learning in the workshop, but they take on an additional layer of meaning when Denise shows all the ways teachers and their students can discover and fully grasp math concepts through a hands-on approach.
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