In this article, Hawksley describes a workshop that teaches mathematical ideas such as ratios, fractions, and sequences through the creation of layered beverages. By adjusting the ratio of sugar to water in each layer, liquids with different densities can be stacked on top of one another to create colorful layered drinks. Participants first explore ratios and fractions by comparing sweetness levels between layers, and then extend the activity to investigate integer sequences such as the Fibonacci sequence by varying ingredient proportions across multiple layers. The workshop highlights how mathematical ideas can be explored through sensory experiences like taste and visual observation, showing how mathematics can emerge from everyday activities like cooking and drink-making.
Stop 1
What stood out to me was how the article reveals mathematics already embedded in everyday practices like cooking. Recipes rely on proportions, ratios, and sequences, yet people rarely think of cooking as mathematical. The workshop makes this hidden mathematics visible by turning drink-making into a structured exploration of ratios and sequences, where these ideas are experienced through taste and visual layering rather than just calculating on paper. I found this idea meaningful because it challenges the common perception among students that mathematics only exists in textbooks or formal problems. Instead, mathematics appears naturally in daily life, which could help students see math as something meaningful and enjoyable rather than purely academic.
Stop 2
I enjoyed the creativity of the activity and how it connects mathematics with something familiar like making drinks. However, it also made me wonder whether the activity actually helps students understand ratios and sequences more deeply, or if it mainly makes the experience more fun and engaging. For example, while layering drinks based on sugar ratios visually demonstrates density differences, it is not entirely clear how students move from observing the layers to reasoning mathematically about ratios or recurrence relations like the Fibonacci sequence. I am curious about what kinds of discussion or reflection would need to happen for students to connect the sensory experience—taste, colour, and layering—to the underlying mathematical ideas.
Discussion Question
How can teachers structure discussion or reflection during this activity to help students move from the sensory experience (taste and visual layering) to a deeper mathematical understanding of ratios and sequences?
Hi Amy, Thanks for sharing your thoughtful summary and reflection. I haven’t read the article, but I find resonance in both of the points you raised in the stops: first, highlighting the idea that mathematics exists in everyday life, and second, scrutinizing the depth that this kind of activity can have for learning.
ReplyDeleteOn a sidenote, I also felt some caution regarding sugar consumption through this fun and engaging activity (my guess is that’s how the article presented this activity, and perhaps the children drank them afterward?). In itself, the use of sugar is not necessarily an issue, but it can be when considered within the broader reality and context of the high sugar, salt, and fat foods that many children consume these days. MEF’s documentary Consuming Kids comes to mind.
Hi Amy, thanks for your reflection and question! You make a really important point - I often try to implement new activities to help reinforce concepts to my science students, but am constantly questioning whether the activities truly help students understand or whether they are simply a "fun" way to represent the ideas. An activity like this one I think would be a nice introductory activity like an exploration to find the correct ratios to ensure the layers don't mix. This can then lead to discussions on where ratios can be found, their importance, and what they actually mean, such as discussing part-part and part-whole relationships.
ReplyDelete