How can the Blues be used to learn fractions?
Project or Program Summary
Please provide a summary of the project/program as demonstrated in the case study:
My co-teacher and I met with Arts Integration Specialist Maria Barbosa to create a lesson plan that connected fractions to Blues music. We aimed to create a lesson that was aligned with the state math and fine arts curriculum as well as the Common Core Standards. Specifically, we wanted to address how music arises from a person’s cultural context. I immediately thought that the first Blues instrument, the single-stringed diddly bow, might serve as a great physical model for a number line fractions lesson. The diddly bow was created by Delta blues musicians in the South before they could afford six-string guitars. It was usually put on the side of a barn door and played with a bottle, but my classroom model is a single string on a board, using the resonance of metal jar tops to project the sound. It is a piece of musical history that shows students the ingenuity of the men and women who invented Blues music. Maria went to work to figure out how to put versions of this instrument in the students’ hands. She came up with a brilliant cardboard and rubber band version of the diddly bow that each student could play. Maria felt that the strength of the lesson was in having the students not only see and hear my instrument, but to play their own. I started the class off with the art form, playing a Blues song on the diddly bow while the students clapped the work-song Blues rhythm with their hands. The students were fascinated with the instrument and understood how the Blues arose from the context of African Americans working on farms without access to instruments other than homemade ones like the diddly bow. My co-teacher reviewed the material about fractions and number lines, and then it was time for the students to make their own instruments and apply their knowledge. After attaching the rubber band to their cardboard, students marked the fractions along the number line below the string. This was their first experience of comprehending the relationship of fractions on a number line physically. Students were eager to get this right because they knew that only after filling in their number line correctly, would the real fun begin!
Portfolio Purpose and Rational
Portfolio Purpose and Rationale: Why has this case study been submitted?:
My fine arts goal for the lesson was to show the students how Blues music was invented in the context of real people’s lives. This is how art emerges within cultures all around the world. I believed the diddly bow instrument would be an appropriate metaphor for the number line fractions lesson, but was not sure how to get the students involved beyond a demonstration. The challenge was to create a lesson to help students who were having trouble remembering the relationships between different fractions, as well as being able to accurately place them on a number line. This difficult cognitive jump was a perfect candidate for an arts-integrated lesson to help students really own these distinctions by looking at them in an original way.
What are your overall conclusions regarding the documentation gathered for this case study?:
I think the strongest part of this project was the description by my co-teacher of how students used the diddly bow model as a conceptual tool for their tests. I would like to be able to follow up with test scores in the future.
What conclusions have you drawn from the responses to the assessment tools you have developed?:
It was obvious through our final assessment of the students that they had mastered the material through this project. Students who could not tell us which was bigger, one-quarter or one-third, at the beginning of the class could answer the question correctly at the end of it. They also answered questions on the music objectives correctly at the end of the lesson, demonstrating a deeper understanding of how humans invent music within their culture and daily lives.
Answering the Inquiry Question
Back to the initial inquiry question, can it be answered?:
The initial inquiry was whether or not teachers can use building a simple, single-stringed Blues instrument in their classrooms to help students better understand the relationships of fractions on a number line. The answer is a definite “Yes.”
Conclusions: What Was Learned
What was learned?:
There were many different examples of what was learned for each of the participants. The students learned how to build a simple instrument and then they learned the proper placement of fractions on a number line. Students overcame their natural cognitive challenges of conceptualizing abstract fractions in a concrete way. They learned the proper answer to questions like “Which is bigger: 1/4 or 1/3? My co-teacher learned how to use an arts-integrated approach to help students master material. I learned how to manage a classroom during such a project from my teacher partner. Combining my co-teacher’s classroom management skills with Maria’s innovative ideas made this lesson possible. Now because of their help, I can bring this powerful lesson to other classrooms. I have learned the skills I need to guide the students to get the most out of the lesson. My teacher partner can use this tool in her classes when I am not there, to help future students grasp abstract principles with something concrete and experiential.
Conclusions: What Can Be Done Differently In The Future
What can be done differently in the future?:
Given the unique situation of this school which had guitars available for students to use, plans should be made to bring groups of instruments to schools that don't have them. It could be a group of ukeleles if guitars are not possible. It is also possible to build a primitive Blues guitar in an extended residency.
Conclusions: How Will This Inform The Work Moving Forward
How will this inform the work moving forward?:
I am better prepared to deal with the specific logistics of classroom management during a craft building project. My co-teacher now has more tools for achieving the testing goals for the class. The students gained a conceptual tool for mastering abstract concepts that they can continue to use in their tests.
Core Content Standards
Model with mathematics
Look for and express regularity in repeated reasoning
Speaking and Listening:
Comprehension and Collaboration
Science / Dimension 1: Scientific and Engineering Practices:
Using mathematics and computational thinking
Science / Dimension 2: Crosscutting Concepts That Have Common Applications Across Fields:
Cause and effect: Mechanism and explanation
Scale, proportion, and quantity
21st Century Learning Skills
Learning and Innovation / Critical Thinking and Problem Solving:
Make Judgments and Decisions
National Core Arts Standards