Progressive
Theory
The Progressive Education theory was developed by John
Dewey and emphasized the importance of hands-on learning. This theory
challenged the long standing traditional approach to teaching. At the time the
theory was developed, science and mathematics were considered priority and dominated
student learning. The Progressive Theory insists on the importance of the
emotional, artistic, and creative aspects of human development. This theory
supports diversity in learning, as it acknowledges various learning styles and
needs of students.
Integrating elements of Drama and Dance into Math
lessons embodies Dewey’s Progressive Theory of education. Students collaborate
and engage in social and artistic activities that directly relate to mathematical
concepts.
Drama
A quick warm-up for students to do before a lesson is
called “In the Shape Of”. This activity can be adapted to any grade level,
depending on how the teacher uses it.
In
the Shape Of
For primary and junior grades, the teacher or student
will call out a shape and students recreate the shape using their bodies.
For slightly older students, the teacher will call out
a number to have students form a group with that many people in it. Together
they will create a shape that has that many vertices.
In the Math curriculum, reflecting and translating
shapes using different tools and methods is an expectation that builds and
develops with each grade level. In grade 5 for instance, students are expected
to create and analyze designs by translating and/or reflecting a shape or
shapes using a variety of tools.
According to the Progressive theory, collaboration and
hands-on learning are two critical elements for learning. A Drama strategy called
directed tableau is a good activity
to get students moving around the classroom, collaborating with peers, and
engaging in the work hands on.
Directed
Tableau with Shapes
This activity requires students to cooperate as they
use their bodies to create a shape and demonstrate a flip, turn, and slide. In
small groups students create different two-dimensional shapes with their
bodies. Collectively, they must find ways to show how their shape can flip,
turn, and slide.
This activity coincides with the Arts Drama
expectation that students can “plan and shape the direction of the drama or role
play by collaborating with others to develop ideas, both in and out of role”
(Ministry of Ontario, 2009). In this directed tableau exercise students
collaborate to plan and execute their ideas.
Students incorporate the dramatic element of focus and emphasis as they work through
the activity as a group.
The elements of focus and emphasis are explored when
students identify the central theme and/or problem in a drama, drawing audience
attention to specific aspects of the drama. In the case of the directed tableau
with shapes, students work to solve their own dilemma of flipping, translating,
and sliding their bodies.
Another, drama tool that promotes hands-on learning in
math is a Living Venn diagram. By
grade 5 students are familiar with creating Venn diagrams to organize ideas and
information on paper. In this activity students physically participate in a
Venn diagram.
Living
Venn Diagram
This activity is a good minds on or review activity
for students to participate in before the lesson. The teacher will create two
large overlapping circles on the floor of the classroom. Students will sort the
shapes according to congruent sides, congruent angles, and shapes with both
attributes. The outside of the circle represents shapes that do not fall into
any of the three categories.
This activity can be done in small groups, where each
students has a shape and a place on the diagram, or a whole class activity.
To
accommodate for students with physical and emotional exceptionalities:
-
Ensure a clean, open space for students to
move around
-
Provide prompts and assistive technology
-
Small groups or working in pairs
Dance
Incorporating the elements of Dance into Math lessons
offers a tactile learning experience for students. The Ontario Arts curriculum
is designed with cross-curricular teaching in mind. Expectation A1.1 for grade
5 states that students be able to “translate into movement sequences a variety of images
and ideas from other classroom subjects, including the arts” (Ministry of
Ontario, 2009).
In Math students
can use the choreographic form mirroring to explore lines of symmetry and pathways using their
bodies.
The curriculum describes mirroring as a “spontaneous
improvisational drama structure used to help students explore characters, themes,
issues, or ideas through movement. Students stand face to face and move their
bodies to follow their partner’s movements. Variations include a group
following a leader’s body and/or hand movements” (Ministry of Ontario, 2009).
Mirroring
Shapes and Lines
In pairs, students will face each other and move their
arms and bodies. One person will lead the movements and the other one will try
to follow. In this activity, students have to understand what the reflection of
a shape or line looks like. Students do not just follow their partner but have
to mirror their exact movements.
In this activity students explore elements of dance
such as body and space.
Body: refers
to symmetry
versus asymmetry, organic versus geometric shape, angular versus curved shape,
gesture, and body zones. Students try to remain symmetrical to their partner as
they create and follow different movements. Mirroring helps students to conceptualize the symmetry of shapes and lines.
Space: refers
to positive versus negative space and pathways. As students move through the
classroom they use different pathways and levels to create movements and
shapes.
In my most recent placement, I had the opportunity to
try the mirroring activity with my students. had the experience of
collaborating with the Dance instructor to create a cross-curricular lesson. We
decided to use the weekly Dance period to create a double math/dance lesson.
Students reviewed math concepts by exploring different movements and
activities. We used mirroring to open the lesson and developed different levels
of the activity as the lesson continued. I really enjoyed creating a lesson
that involved a lot of movement on the student’s part. As a new teacher, I want
continue to develop activities and strategies that incorporate movement into my
lessons.
To
accommodate for students with physical and emotional exceptionalities:
-
Students can complete the activity sitting
in chairs, standing, or moving around
-
Small and large group options
-
Provide prompts for movements and shapes
for students to follow along
In my experience, I find that when students have the
opportunity to move and experience different concepts information is retained
more effectively. Students also enjoy opportunities to move around and
collaborate with their peers.
Until next time!



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