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Week 11 How to Bake pi: An Edible Exploration of the Mathematics of Mathematics-- Summary

This article is a book review of "How to Bake pi: An Edible Exploration of the Mathematics of Mathematics" by Eugenia Cheng, and the reviewer is Pamela Gorkin. It highlights the unique approach taken by Cheng in connecting mathematics with baking . Gorkin begins by quoting G. H. Hardy's comparison of mathematicians to painters or poets, emphasizing the creation of patterns with ideas. Cheng's book presents mathematics as akin to baking, with proofs as ingredients and techniques evolving over time, much like in cooking. The review praises Cheng's ability to use analogies effectively to help readers grasp complex mathematical concepts, emphasizing the importance of understanding principles rather than just memorizing processes . Cheng's book introduces category theory , a significant abstraction in mathematics, and discusses the Riemann Hypothesis and the Poincaré conjecture in a relatable manner. She uses examples from cooking, such as modifying recipes, to exp...
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Week 10 WRITING AND READING MULTIPLICITY IN THE UNI-VERSE: ENGAGEMENTS WITH MATHEMATICS THROUGH POETRY--Summary

This article tries to explore the intersection of mathematics, poetry, and personal experiences to enhance learning and engagement in education. The authors explore the concept of multiplicity through poetry, specifically focusing on the interconnectedness of writing and reading in the universe. The article begins by presenting a series of poems that illustrate the vast scales of the universe, from intimate circles of one meter to expansive distances of billions of light years. These poems serve as a foundation for the exploration of mathematical themes and structures embedded within poetic expressions. The authors highlight the use of concentric circles and geometric progressions in the poems to convey a sense of scale and interconnectedness. Furthermore, the article discusses how poetry can be a powerful tool to engage students in mathematics education. By encouraging students to write poems that connect mathematical concepts to personal experiences, educators can foster creativity a...

Outline of Final Project 551

  EDCP 551 - 2024 Name: Shahrzad & Stelios                                                                   Work: Partner work  Crafts in Multiple Worlds: An Inquiry-based Project Through Integrating Visual Art, Technology, Career Education, and Mathematics Grade Level: Grade 6-9 Age: 11-14 School District: Vancouver Outline: Shapes Colors Patterns Area, Perimeter, and Volume Angles Sewing/Glueing Creating a 3D model through Minecraft (Online Platform) Creativity building and thinking through hands-on activities Materials: Laptop (with Minecraft) Felt of different colors (cold and warm colors) Scissors Thread and needle Fabric Glue Ruler This inquiry-based project offers students a creative journey in designing and crafting their personalized handbags. Leveraging an online platform like Min...

Week 8 Reenacting mathematical concepts found in large-scale dance performance can provide both material and method for ensemble learning-- Summary

This paper explores the intersection of dance and mathematics through the analysis of quartets engaging with video recordings of choreographed performances from the 2016 Rio Olympic Games. It aims to enhance ensemble learning by dissecting and reenacting performances to explore their mathematical potential. In the introduction, the authors highlight the importance of reenactment as a method to supplement Interaction Analysis (IA) in understanding quartets' actions and exploring the potential of ensemble learning. They emphasize the creative re-use of public media for mathematical exploration and the hybridization of dance and mathematics in ensemble learning. The methods section details the approach taken in the study. Quartets participated in 90-minute video-elicited interviews where they watched and discussed the Rio performance recordings, engaged in mathematical activities with a square sheet prop, and created their own performances. The interactions were captured using m...

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 stat...

Week 6 Make Music Visible, Play Mathematics-- Summary

This article introduces a workshop based on interdisciplinary and interactive activities. Through these activities, the relationship between mathematics and music becomes visible. This approach encourages music teachers to adopt a geometric approach for their students to learn music theory. I t begins by discussing the historical perspective on this relationship, emphasizing the role of counting, ratios, and mathematics in music theory. The article challenges the notion of connecting the creative art of music with the logical framework of mathematics, asserting that music goes beyond mere notes and beats to encompass the creation process.   By involving students in hands-on, multisensorial activities, educators can demonstrate the parallel application of complementary viewpoints in mathematics and music.   This workshop is based on chromatic scale and chromatic scale circles ( If we put these 12 notes evenly distributed around a circle, we obtain what is called “chromatic circ...

Week 3 Sustainability Education’s Gift: Learning Patterns and Relationships- Summary

This case study focuses on the Learning Gardens model in Portland, Oregon, where students learn to grow, harvest, and cook food using a multicultural, interdisciplinary, intergenerational, and multisensory approach. The program addresses urgent issues such as increasing hunger among children, rising obesity and diabetes rates, academic performance gaps, and urban students' disconnection from nature and food sources.       The Food-based Ecological Education Design (FEED) program operates in eight Portland Public Schools, involving 3,500 students, and includes the Learning Gardens program on two parcels of land. Students from diverse backgrounds participate in growing food, building gardens, and learning various subjects simultaneously.       The article also presents student writings reflecting their learning in patterns and relationships, a critical aspect of sustainability education's gift. The students' writings demonstrate their ability to connect co...