challenges and successes in implementing culturally ...€¦ · challenges and successes in...
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Challenges and successes in implementing culturally
relevant activities for ELLs
Dr. Olga Kosheleva, [email protected]
Associate Professor
Teacher Education Department
Julian Viera Jr., [email protected]
Doctoral Candidate in Teaching Learning and Culture
Lecturer/Director of Pre-Calculus and Calculus I
The University of Texas at El Paso
NCTM: 2016 Annual Meeting & Exposition
Acknowledgement: Most activities were created by L. F. Magana
Importance: Culturally relevance
• Culturally relevant pedagogy
is centered on the view that
cultural identities and
experiences are the
foundations for all other
experiences and behaviors
(Gay, G. (2000). Culturally responsive teaching:
Theory, research, and practice. Teachers College
Press.).
Importance: Culturally relevance
“Culturally responsive mathematics
teachers leverage mathematical learning
by expanding children’s mathematical
thinking, building bridges between
previous knowledge and new knowledge,
supporting bilingualism and academic
language development, fostering
connections with cultural funds of
knowledge and experiences, and
cultivating critical mathematical
knowledge that enables students to
analyze and address authentic problems” (Aguirre, J. M., & del Rosario Zavala, M. (2013). Making culturally
responsive mathematics teaching explicit: a lesson analysis tool.
Pedagogies: An International Journal, 8(2), 163190.).
Possible Lessons
• Lessons could include references to the
geometry of Mayan art and architecture (Rojas, E. (2010).
Using mathematics as an equalizer for gifted Latino/a adolescent learners. Special populations in gifted education.
Understanding our most able students from diverse backgrounds, 353-382.).
Our number system vs. Mayan
vigesimal or base 20 system
Adopted from L. F. Magana (Magaña, L. F. (1990). Las Matemáticas y Los Mayas. Revista Ciencias,
Facultad de Ciencias, UNAM, pp. 19-26.)
Mayan Number Glyphs
It amazing, but nowadays we do not use base 20!
Can we use this type of representations for our
base 10 system?
Adopted from L. F. Magana (Magaña, L. F. (1990). Las Matemáticas y
Los Mayas. Revista Ciencias, Facultad de Ciencias, UNAM, pp. 19-26.)
Important details
Two types of grouping
• By fives ( = )
• By tens ( in the next vertical level)
For multiplication: one factor is placed on the left side of the
grid and the other is placed horizontally on top of the grid.
Division is exact inverse of multiplication.
Example of grid with
manipulativesBelow is the number 603 represented using Mayan Inspired
Manipulatives.
Geometry and Square roots
Square root computation is exact
inverse of multiplication (using
Mayan Inspired Manipulatives).
Manipulatives (grid paper)
Manipulatives (rods)
Manipulatives (shells)