What Mathematics Education Can Learn from Art: The Assumptions, Values, and Vision of Mathematics Education - Week 7 Summary
The article "What Math Education Can Learn from Art" by Leslie Dietiker explores the potential of applying artistic elements to mathematics education to enhance student engagement and learning experiences. The author begins by highlighting the uninspiring nature of traditional mathematics classrooms, emphasizing the need for a shift towards a more stimulating and creative approach to teaching math.
Drawing parallels between mathematics and art, Dietiker suggests that mathematical stories in classrooms can be analyzed similarly to literary narratives. Just as in literature, engaging stories in mathematics should have a point, offer anticipation, and avoid predictability to maintain student interest. By viewing mathematics curriculum through a narrative lens, educators can potentially unlock new artistic tools for teaching and provide students with fresh mathematical opportunities.
The author explores the idea that mathematical textbooks can be read as stories, with each statement building upon prior ones to address larger questions. While not all readers may interpret textbooks this way, recognizing the narrative potential in mathematics curriculum can open up new ways for teaching and learning. Dietiker suggests that by infusing mathematics with narrative elements, educators can create compelling mathematical characters and scenarios that provoke curiosity and engagement among students.
Furthermore, the article discusses the historical shift towards valuing science over art, highlighting the importance of recognizing the artistic aspects of mathematics education. By perceiving mathematics as a form of art, teachers and curriculum designers can revitalize the classroom experience and foster a deeper appreciation for the subject. Dietiker emphasizes the need to "renew our perception" of mathematics as an art form to break away from traditional, monotonous teaching methods.
The author also references the work of mathematician Netz, who used narrative to analyze the aesthetic dimensions of ancient Greek mathematical texts. Netz's comparison of Euclid's "Elements" and Archimedes' "Sphere and Cylinder" demonstrates how narrative elements can enhance the understanding and appreciation of mathematical content.
In conclusion, Dietiker advocates for a paradigm shift in mathematics education towards embracing artful interpretations of curriculum. By incorporating narrative elements, creating mathematical characters, and framing mathematical concepts as stories, educators can make math more engaging and meaningful for students. This approach not only revitalizes the classroom experience but also opens up new ways for exploring mathematical concepts and fostering creativity in learning.
Stop:
"However, I suggest that stories are particularly suitable as an art form for mathematics curriculum as they are at their root pedagogic in nature." (p.4)
It reminds me of the math stories I used to read in Cynthia's class. Those stories were fascinating and embedded the math in a certain logical way. Narrative as a form of artistic expression can be naturally integrated with math. From a pedagogical point of view, this is a decent attempt.
"Euclid in Elements offers an incremental sequence of layering propositions in a way that allows a reader to advance in a smooth and predictable cadence." (p.5)
To be honest, I never noticed that before. When I revisited the book, I did notice how well it flowed. This is due to its narrative. It reminded me of some of the textbooks I encountered during my undergraduate studies. Those textbooks could be characterized as a stack of theorems and proofs. I had a lot of trouble reading them, and they did little to help me find a main line of thought. Narrative might very well change that.
Question: Would you be more favorable to narrative mathematical expressions? Why?
Hi Stelios
ReplyDeleteThank you for sharing your thoughts. In response to your question, my answer is yes! Storytelling can indeed enhance students' motivation to learn math, especially for those who may find it challenging. From my personal experience, I've noticed that elementary textbooks often include mathematical comics or narratives on the first page of each lesson. This approach helps children understand academic concepts through storytelling, fostering a stronger connection between real-life experiences and abstract mathematical concepts.
Hi Stelios,
ReplyDeleteThanks for sharing your thought about teaching mathematics through storytelling. Learning mathematics through story telling not only can arise students' interest towards mathematics, it can also enhance students understanding towards the proof of complex mathematics theorem. Owing to complex mathematics notation, tedious steps and usefulness in its application, students in high school demonstrate a strong hesitation related to it. However, the understanding of the proof is a critical step of students' sense-making. It is hoped that by linking the proof of mathematics theorem into their daily-life experience or personification, students are more willing to take the proof seriously.
In my teaching experience, I've found mathematical stories to be an incredibly effective and engaging tool for teaching complex mathematical concepts such as ratios, fractions, and decimals. These are topics that students often struggle with, and traditional methods of teaching them can sometimes fall short in terms of engagement and understanding.
ReplyDeleteOne approach I've used successfully is incorporating mathematical stories into my lessons. I remember a particular instance where I introduced students to stories specifically focused on fractions. The response from the students was remarkable. They were not only engaged in the story itself but also eager to share their thoughts, answers, and guesses both verbally and in written form. This active participation allowed them to interact with the material in a meaningful way, deepening their understanding of fractions.
What made these mathematical stories particularly effective was the inclusion of pictures and images. These visual aids helped students to visualize the concepts being taught, making abstract ideas more concrete and easier to grasp. By providing a visual representation of the story and the mathematical concepts within it, students were able to connect with the material on a deeper level.
One thing I've noticed in my teaching practice is that traditional math textbooks often fall short in terms of engaging students and facilitating understanding. Many teachers, myself included, find textbooks to be dry and full of confusing language that can be daunting for students. If students struggle to understand the questions and concepts presented in the textbook, it becomes challenging for them to answer accurately and confidently.
As a result, I've chosen to forego traditional math textbooks in my teaching. Instead, I've opted to use mathematical stories as a primary teaching tool. These stories provide a more dynamic and accessible learning experience for students, allowing them to connect with the material in a way that is both engaging and meaningful.
By incorporating mathematical stories into my teaching practice, I've seen firsthand the positive impact they can have on student engagement and understanding. Not only do students enjoy the stories, but they also gain a deeper understanding of mathematical concepts and develop greater confidence in their ability to solve problems. Overall, mathematical stories are a valuable resource that I will continue to use in my teaching to support student learning and achievement.