Making Bentwood Boxes in an Extreme Math Classroom

by Tennie Bentz
Dzantik'i Heeni Middle School, 7/8th grade

Bentwood Box created by Leroy Hughes

Eighteen primarily Alaska Native students enter the classroom full of energy on this fall afternoon. Most of them struggle in math and it is the last class of the day, so no one is ready to buckle down to learn about measurement, surface area, volume, symmetry, or ratios and proportions. Then Ruby Hughes, our Cultural Specialist, brings in the most beautiful Bentwood Box any of us have ever seen. It is large, approximately 24 inches on each side. Intricate formline designs are carved on two sides and painted on the other two. The students settle down a bit and I start to hear sounds of excitement as they begin to look at and touch the box. They are hooked. Not only are they in the presence of a masterpiece, they are about to create their own.
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Students settle into their seats with the Bentwood box at the center of the room. We begin the I See, I Think, I Wonder thinking routine and discuss what students see when they look at the box. What makes this box so beautiful? Is it the size, the shapes, the colors, the symmetry? Groups look closely at the box and explain how they think the box was built. Some of our students have built one before so they can help explain the process to others.  Many students wonder how they will ever be able to complete something so complicated. Step by step, we tell them. It’s going to be a long process, but in the end they will have a tangible item that they will be able to give as a gift or keep as a memory of the challenge to come.

A couple of days later, Ruby brings each student their own rectangular piece of yellow cedar from Hoonah. Sealaska Heritage Foundation helped cover the cost of the cedar which is fairly expensive. Ruby explains the importance of precise measurement and we show students examples of boxes that were square and others that are not. Students see the beauty in symmetry. Perfectly bent corners, straight lines, tops proportional to the bottoms.  Armed with a ruler, pencil and their new knowledge of measurement, students begin measuring precisely to ¼ and ⅛ and even 1/16 of an inch. Some of the students fly along, making their measurements while others fall behind. One girl starts to wander about the classroom bothering others. At first she won’t tell me why she is wandering and then I realize, she doesn’t know how to read her ruler. She’s never been asked to measure something so precisely, especially when mis-measuring by something as small as ⅛ of an inch will end up creating a box that is no longer symmetrical and square. This young lady would rather give up than end up with a less than perfect product. I convince her to sit back down and together we began to measure. We create a template because remembering which line is which on the ruler is too difficult for her on this day. Soon she has her measurements complete, her corner angles drawn correctly and the rest of the class finishes soon after.

The project flies by. Day after day as students saw, sand, and chisel their way towards a final project. Ruby works patiently guiding half of the students through the process of building their boxes. I work with the other half of the class tying in the math behind the art. We learn about surface area by creating wrapping paper and volume by filling the example boxes with cubes. Fractional measurements are converted to decimals and percents. Standard systems of measurement are converted to metric. On and on the math goes with students always excited to stop with the math so they can just go work on the art.

Soon the boxes take shape. Ray Watkins visits Dzantik’i Heeni and he and Ruby take a few kids at a time downstairs to steam and bend the boxes into their square shape.The other students wait impatiently with me. They want to see if all of their precise measurements and persistence sawing and chiseling have paid off. Will their final product have the lines of symmetry and the perfect bends in the corners? Soon students begin to carry the boxes back upstairs, smiles on their faces. Most of the boxes are nearly perfect, a few aren’t quite square but Ruby is sure that she and Ray can magically fix them overnight. The next day, when the students return, everyone has a perfect box.
Soon the students began new measurements to create perfectly fitting bottoms and proportional tops. The boxes were nearing completion for many students. The experience of building their own Bentwood box was enough. Others however wanted to take the box further and create their own formline design to put on the outside.

​We spent some time looking at the Colors, Shapes and Lines on the masterpiece Bentwood Box that had served as our inspiration through this entire process. The colors were few but bold. Red, black, teal and natural wood. Ruby taught us the names and relationships between the shapes. Ovoids serve as the center from which U-shapes extend. We learned that the shapes rarely stand on their own, but connect and flow from one form to another. To me this was the perfect analogy for how math should be taught. Fractions should not stand on their own, there needs to be flow, a relationship and connection between the math and real life application.  This was the perfect opportunity to teach ratios, proportions, similar and congruent figures and lines of symmetry through art. Ruby taught the students how to make ovoids using lines of symmetry and I created an activity where they had to measure the height and width of the ovoids and then create new ovoids that were similar using ratios and proportions. Most of the students ended up with a set of ovoids that they could use as a template when creating the formline design on their boxes. Some students quickly realized that they could avoid the math and just draw ovoids within ovoids to create their template. Whichever method students chose to use, the concept behind math supporting art was cemented.

Students are still working on their formline designs. One young lady is trying to get in touch with her grandparents to learn more about her lineage so she can put the correct clan crests on her box. She is an inspiration to me and reinforces the need for more projects like this one. She doesn’t do much in math class and did very little of the work when we worked with the math behind the art. Some may call this a failure of the project when looking at it from a math perspective but this student is so proud of the masterpiece that she created that she is taking the time to make sure the connection to her family’s history is accurate. She plans to give her box to her grandmother in Angoon. That in itself proves the project was successful in my eyes.

Acknowledgments:
I owe a huge thank you to Ruby Hughes. Her calm presence and patience was an inspiration through this process. Without Ruby’s help and support, this project would have been a disaster.  Ray Watkins’ help behind the scenes made this project streamlined and successful as well. Thank you to Sealaska Heritage Institute for your generous support providing the yellow cedar and to the Artful Teaching grant for purchasing colored pencils for the final box designs.