Draft of My EDCP 552 Assignment on Arts
and Embodied Learning
Topic: Uncovering the
Hidden Geometry in Atilogwu dance: Heritage Algorithms and Emplaced Learning.
Name: Clementina Uti
Collaborators:
Working individually
Due Date:18th
of February,2026
Description of Project
I am excited to begin a project that creatively merges
mathematics with the vibrant cultural heritage of dance. In our Grade 7 math
curriculum, we study transformations in geometry, such as translations,
rotations, and reflections. I believe that integrating the Atilogwu dance from
Nigeria into our lessons will make these concepts more engaging and relatable.
I often describe dance as a “heritage algorithm” because much like math, it
operates under a set of structured rules and patterns. The Atilogwu dance
provides an excellent framework for visualizing and grasping geometric
transformations, allowing us to explore mathematical principles in a dynamic
way that transcends conventional textbook methods.
My primary aim is to demonstrate that dance consists
of intentional movements, enabling students to identify various angles formed
by the joints—such as acute, obtuse, and right angles. These are essential for
comprehending translations (utilizing vector shifts or congruent images),
reflections (synchronized movements between partners), and rotations (turns and
jumps measured in degrees, like 90, 180, or 360 degrees). This innovative
strategy seeks to connect mathematics with cultural expression, enhancing our
understanding of geometry while highlighting its significance in daily life and
heritage. Ultimately, I envision this project to refine our math skills while
deepening our appreciation for how cultural elements, like dance, can
seamlessly integrate with academic concepts. It offers a unique chance to
investigate geometry in a lively and relevant context.
Research Plan: Exploring the Interplay Between Dance
and Geometry
For my research, I intend to explore the connection
between dance and geometry through collaboration with a community dance group called
African Friendship Society in Vancouver, British Columbia. This approach is
particularly appealing because the Atilogwu dance is known for its energetic
acrobatics and complex movements. By partnering with experts in this field, I
will be able to document authentic performances related to angle identification
and transformation mapping, allowing seventh-grade students to discover the
hidden geometry before engaging in semiotic enactment.
Additionally, students will have the opportunity to
explore a human-scale coordinate grid outside by using chalk to draw angles on
the ground, tangibly reinforcing their learning during our classes. To aid my
study, I will record their live dance performances, enabling me to trace the
invisible lines created by acrobatic jumps and movements, which I will treat as
crucial cultural artifacts. My objective is to meticulously observe and analyze
the dancers' performances to uncover the geometric patterns that emerge,
focusing on aspects like jumps, rotations, and intentional placements of hands
and bodies.
Through detailed observation and analysis, I aspire to
reveal how these movements not only convey significant cultural narratives but
also expose underlying geometric structures in the air. This research aims to
provide a deeper understanding of the intricate relationship between movement,
form, and cultural expression.
Bibliography and Annotations
1. Eglash, R., & Bennett, A. G. (2025). African
Interlace as Dynamic Grids: New Heritage Algorithms for Diaspora Design
Ecologies. Design and Culture, 1-22.
This article establishes a foundational theoretical
framework for my project by framing African cultural practices as
"Heritage Algorithms," characterized as logically structured and
rule-based systems. It draws on Eglash and Bennett's exploration of
"Dynamic Grids" and "3D movement paths" in performances
such as Capoeira, providing academic support for viewing the Atilogwu dance as
a mathematical artifact, transcending its artistic expression. The authors’
concept of "repetition with revision" is particularly relevant as it
explains how synchronized dance steps can be seen as geometric transformations,
including translations and reflections.
2. Abrahamson,
D., Nathan, M. J., Williams-Pierce, C., Walkington, C., Ottmar, E. R., Soto,
H., & Alibali, M. W. (2020, August). The future of embodied design for
mathematics teaching and learning. In Frontiers in Education (Vol.
5, p. 147). Frontiers Media SA.
Their article emphasizes the significance of the
learner’s body in developing mathematical intuition, suggesting that physical
movement is foundational before formal symbols are introduced. It employs the
concept of "semiotic enactment" to bridge students’ visual analysis
of the Atilogwu dance with their own creative outputs. By moving students from
a "pre-symbolic" state, where they appreciate the dance's cultural
and geometric intricacies, to a "symbolic" state, where they
translate those movements into coordinates on a grid, the lesson fosters deeper
engagement.
Utilizing Abrahamson’s idea of "multimodal
synthesis," this pedagogical approach integrates digital video analysis,
collaborative discussion, and hands-on chalk activities to create an embodied
understanding of geometry. This methodology highlights the use of energetic
cultural artifacts to initiate attentional anchors necessary for understanding
abstract transformations, which ultimately aims for a holistic learning
experience that connects physical movement with mathematical concepts.
3. Gerofsky, S. (2025). Embodied Outdoors Arts-Based
Approaches to Mathematical Understanding. Encounters in Theory and
History of Education, 26,
56-87.
The author advocates for "emplaced" and
"outdoor" learning that utilizes materials available in the immediate
environment to break away from the static, industrial nature of traditional
classrooms. I apply this by having students transition from the digital
analysis of expert video artifacts to a physical, material-based representation
on an outdoor floor. Using chalk as an environmental tool, students will
collaboratively map the "heritage algorithms" and geometric transformations
they observed in the Atilogwu dance. This approach supports Gerzofsky’s
argument that mathematical understanding is deepened when it is arts-based and
situated in an open-air, embodied space.
4.
Radford, L. (2014). Towards an embodied, cultural, and material conception of
mathematics cognition. ZDM, 46(3), 349-361.
The article discusses the concept of "sensuous cognition.
“A concept that argues that mathematical thinking is influenced by cultural and
historical contexts, while drawing on sensory experiences and the material
world as a crucial foundation. This idea is applied to illuminate the
significance of the Atilogwu dance, a vibrant cultural expression, as an
essential tool for understanding mathematics. By having students observe
professional dancers and then translate those movements onto the pavement using
chalk, the approach fosters a "multimodal sentient form" of learning.
It reframes the act of drawing as a complex process that engages the senses and
material tools, enabling students to creatively interpret and reshape abstract geometric
ideas.
5. Fors,
V., Bäckström, Å., & Pink, S. (2013). Multisensory Emplaced Learning:
Resituating Situated Learning in a Moving World. Mind, Culture, and
Activity, 20(2), 170–183.
https://doi.org/10.1080/10749039.2012.719991
This article establishes a critical framework of
"emplaced learning" that backs up my project's environmental context.
The authors advance beyond conventional "situated learning" by
positing that knowledge emerges from a multisensory interaction between the
dynamic body and its surrounding environment. I apply this innovative theory as
evidence of the transition of my Grade 7 students from a traditional classroom
to a large-scale outdoor coordinate grid. By engaging in what Fors et al. term
a "sensory ensemble," my students transcend mere observation of
geometry. They actively embody it by aligning their visual interpretation of
the Atilogwu dance with the tactile experience of drawing and moving in an
expansive outdoor space.
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