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FILMS:
CULTURAL
MEDIA
FOR
EXPLORING
MATHEMATICS

                                                      


                        
      
      
       
        
         
      










Denisse
R.
Thompson
           
      
       
        
         
      




Michaele
F.
Chappell

denisse@usf.edu
        
      
      
       
        
         
      







chappell@mtsu.edu

University
of
South
Florida
 
        
       
        







Middle
Tennessee
State
University

Tampa,
Florida,
USA
 
         
      
       
        
         

Murfreesboro,
Tennessee,
USA





Cultural
Perspective
Used

“The
totality
of
ideas,
beliefs,
values,
activities,
and
knowledge
of
a
group
or
individuals

who
 share
 historical,
 geographical,
 religious,
 racial,
 linguistic,
 ethnic,
 or
 social

traditions,
and
who
transmit,
reinforce,
and
modify
those
traditions”
(Davis,
2006,
p.4).

        

                

Why
Merge
Math
and
Culture
through
Media?


•     Students
 in
 many
 U.S.
 mathematics
 classrooms
 are
 from
 varied
 cultural

      backgrounds.

•     Students
 see
 people
 who
 resemble
 them
 solve
 situations
 using
 critical‐thinking

      processes.

•     Students
see
that
people
with
similar
cultural
experiences
created
and
developed

      mathematics.

•     Students
 have
 greater
 potential
 to
 become
 engaged
 in
 math
 tasks
 due
 to
 their

      interest
in
the
film.

•     Films
facilitate
the
introduction
of
culture
into
the
classroom.


           


Our
Approach
to
Integrating
Culture
with
Math

•    Identify
 resources
 highlighting
 individuals
 of
 different
 cultures
 living
 ordinary

     lives.

•    Create
investigations
related
to
problems
individuals
might
solve
while
living
their

     everyday
lives.

•    Have
students
consider
problems
that
might
be
relevant
to
individuals
from
these

     cultures.




Our
Cultural
and
Mathematics
Index
for
Media


                            Cultural
Index
                               Mathematics
Index

          Amenable
            Beneficial
         Compelling
          Explicit
         Implicit

                             Message
.
.
.
                                    Content
.
.
.

        is
independent
       is
influenced
      is
dependent
      is
evident
in
     varies
from

           of
cultural
              by
                on
             varying
        indirect
to

             identity
            cultural
          cultural
          degrees
           none

                                  identity
          identity







    Fourth
International
Conference
on
Ethnomathematics
(ICEm‐4),
July
25‐30,
2010,
Towson,
Maryland,
USA






    


    Sample
Films
and
Possible
Investigations


              

              Akeelah
and
the
Bee
–
PG;
112
minutes

               Cultural
Index:

B
(African
American)

               Math
Index:

I

               Investigation:
The
Luck
of
the
Draw

               Math
Topics:
Probability,
Simulations,
Creating
Tree
Diagrams

              


              Suppose
that
Akeelah
knows
the
spelling
of
8
of
10
words.


               Predict
her
chance
of
randomly
selecting
4
words
she
knows
how
to
spell.

                

               Simulate
the
situation.

                       

               Draw
a
tree
diagram
to
show
the
probabilities
on
each
draw.


              


              Rabbit­Proof
Fence;
98
minutes


               Cultural
Index:

C
(Indigenous
Peoples)

               Math
Index:

I

               Investigation:
Walking
A
Long
Distance

               Math
Topics:
Writing
Algebraic
Expressions,
Dimensional
Analysis,
Graph

                Systems
of
Equations.

              

              The
Girls
walked
1200
miles
in
9
weeks.

                 

               Estimate
the
number
of
miles
walked
each
day.

Use
this
to
estimate
a
walking

                 speed.

    

               The
girls
walked
2.5
mi/hr.
How
far
do
they
walk
in
1,
2,
3,…
6
hours?



               The
tracker
starts
6
hours
after
the
girls
and
travels
at
3.5
mi/hr.
Write

                expressions
for
the
distance
from
the
settlement
for
the
girls
and
the
tracker

                when
he
has
traveled
h
hours.

        

               When
does
the
tracker
catch
the
girls?

    




            Fourth
International
Conference
on
Ethnomathematics
(ICEm‐4),
July
25‐30,
2010,
Towson,
Maryland,
USA

    




      

      Selena
–
PG;
128
minutes


       Cultural
Index:

C
(Latino)


       Math
Index:

I

       Investigation:
Start
Up
That
Band!

       Math
Topics:
Comparing
Rates,
Solving
Linear
Inequalities,
Problem
Solving
with

        Percents

        

      Custom
buses
for
bands
are
generally
expensive.
A
conversion‐diesel
bus
could
cost

      $168,000.

      

       Diesel
gets
9.9
mi/gal.
How
many
gallons
are
needed
to
travel
100,000
miles?
n

         miles?

         

       Write
an
equation
for
the
total
cost
to
operate
the
bus
when
it
is
driven
n
miles

         and
gas
costs
$4.85
per
gallon.




       Repeat
the
questions
above
for
a
propane
bus
if
it
gets
6.6
mi/gal,
propane
costs

        $1.73
per
gallon,
and
it
costs
$5000
more
than
a
diesel
bus.

        

       Which
bus
is
cheaper
to
operate?







      Children
of
Heaven
–
PG;
88
minutes


       Cultural
Index:

B
(Asian/Iranian)


       Math
Index:

I

       Investigation:

Lavash
Bread


       Math
Topics:
Area
Measurement,
Geometric
Modeling,
Determining
Patterns

        

      A
bakery
sells
lavash
bread
with
dimensions
14
by
20
inches
and
very
thin.



        





       Estimate
the
surface
area
of
the
bread.

        

       How
many
pieces
of
bread
can
you
have
with
1
tear?
2
tears?
3
tears?


        

       How
many
tears
are
needed
to
have
1
piece
of
bread
for
each
of
28
students?

        

       Given
a
recipe
for
lavash
bread,
find
the
amount
of
each
ingredient
to
make

        enough
for
a
class.

    Fourth
International
Conference
on
Ethnomathematics
(ICEm‐4),
July
25‐30,
2010,
Towson,
Maryland,
USA



Fourth
International
Conference
on
Ethnomathematics
(ICEm‐4),
July
25‐30,
2010,
Towson,
Maryland,
USA






Interdisciplinary
Potential
of
Films


Rabbit­Proof
Fence



• English
–
Essays
and
reports
about
scenes
from
the
movie

   

• Social
 Studies
 –
 Discuss
 racial
 implications
 of
 policies
 related
 to
 removing
 children

   from
their
homes

        

• Science
 –
 Environmental
 issues
 related
 to
 animal
 populations
 and
 their
 natural

   predators

        

• Business
–
Investigate
the
potential
financial
benefit
from
this
governmental
policy



Using
Films
in
Classrooms



• Preview
all
films
(avoid
language,
violence,
sexual,
or
extremely
sensitive
issues).

• Check
school
policies
for
viewing
films:

        o View
entire
film
during
class.

        o Have
students
view
film
as
homework.

        o View
only
specific
scenes
of
the
film.

        o View
film
as
an
outside‐class
project.

        o View
film
in
another
class
as
part
of
an
interdisciplinary
unit.

• Note
copyright
regulations
for
showing
films.


• Use
film
resources
with
purposeful
intent.



References:



Chappell,
M.
F.,
&
Thompson,
D.
R.
(2009).
Math,
Culture,
and
Popular
Media:
Activities
to

   engage
middle
school
students
through
film,
literature,
and
the
internet.
Portsmouth,

   NH:
Heinemann.



Davis,
 Bonnie
 M.
 (2006).
 How
 to
 Teach
 Students
 Who
 Don’t
 Look
 Like
 You:
 Culturally

   Relevant
Teaching
Strategies.
Thousand
Oaks,
CA:
Corwin
Press.



Film
Media:




Akeelah
 and
 the
 Bee.
 (2006).
 Produced
 by
 Nancy
 Hult
 Ganis,
 Sid
 Ganis,
 Laurence

   Fishburne,
 Michael
 Romerse,
 and
 Danny
 Llewelyn.
 Written
 and
 Directed
 by
 Doug

   Atchison.
112
minutes.
Lionsgate.
Film.

Children
 of
 Heaven.
 (1999).
 Produced
 by
 Institute
 for
 the
 Intellectual
 Development
 of

    Children
 and
 Young
 Adults.
 Written
 and
 Directed
 by
 Majid
 Majidi.
 88
 minutes.

    Miramax
Films.
Film.



Rabbit­Proof
Fence.
(2002).
Produced
by
Philip
Noyce
and
Christine
Olson.
Directed
by

    Philip
Noyce.
94
minutes.
Miramax
Films.
Film.

Selena.
 (1997).
 Produced
 by
 Moctesuma
 Esparza.
 Written
 and
 Directed
 by
 Gregory

    Nava.
128
minutes.
Warner
Brothers.
Film.

    Fourth
International
Conference
on
Ethnomathematics
(ICEm‐4),
July
25‐30,
2010,
Towson,
Maryland,
USA




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Films: Cultural Media for Exploring Mathematics

  • 1. FILMS:
CULTURAL
MEDIA
FOR
EXPLORING
MATHEMATICS
 
 
 
 
 
 
 
 









 Denisse
R.
Thompson
 
 
 
 
 
 




Michaele
F.
Chappell
 denisse@usf.edu
 
 
 
 
 
 
 







chappell@mtsu.edu
 University
of
South
Florida
 
 
 
 







Middle
Tennessee
State
University
 Tampa,
Florida,
USA
 
 
 
 
 
 

Murfreesboro,
Tennessee,
USA
 
 
 Cultural
Perspective
Used
 “The
totality
of
ideas,
beliefs,
values,
activities,
and
knowledge
of
a
group
or
individuals
 who
 share
 historical,
 geographical,
 religious,
 racial,
 linguistic,
 ethnic,
 or
 social
 traditions,
and
who
transmit,
reinforce,
and
modify
those
traditions”
(Davis,
2006,
p.4).
 
 
 Why
Merge
Math
and
Culture
through
Media?

 • Students
 in
 many
 U.S.
 mathematics
 classrooms
 are
 from
 varied
 cultural
 backgrounds.
 • Students
 see
 people
 who
 resemble
 them
 solve
 situations
 using
 critical‐thinking
 processes.
 • Students
see
that
people
with
similar
cultural
experiences
created
and
developed
 mathematics.
 • Students
 have
 greater
 potential
 to
 become
 engaged
 in
 math
 tasks
 due
 to
 their
 interest
in
the
film.
 • Films
facilitate
the
introduction
of
culture
into
the
classroom.

 
 Our
Approach
to
Integrating
Culture
with
Math
 • Identify
 resources
 highlighting
 individuals
 of
 different
 cultures
 living
 ordinary
 lives.
 • Create
investigations
related
to
problems
individuals
might
solve
while
living
their
 everyday
lives.
 • Have
students
consider
problems
that
might
be
relevant
to
individuals
from
these
 cultures.
 
 Our
Cultural
and
Mathematics
Index
for
Media
 Cultural
Index
 Mathematics
Index
 Amenable
 Beneficial
 Compelling
 Explicit
 Implicit
 Message
.
.
.
 Content
.
.
.
 is
independent
 is
influenced
 is
dependent
 is
evident
in
 varies
from
 of
cultural
 by
 on
 varying
 indirect
to
 identity
 cultural
 cultural
 degrees
 none
 identity
 identity
 
 Fourth
International
Conference
on
Ethnomathematics
(ICEm‐4),
July
25‐30,
2010,
Towson,
Maryland,
USA
 

  • 2. 
 Sample
Films
and
Possible
Investigations
 
 Akeelah
and
the
Bee
–
PG;
112
minutes
  Cultural
Index:

B
(African
American)
  Math
Index:

I
  Investigation:
The
Luck
of
the
Draw
  Math
Topics:
Probability,
Simulations,
Creating
Tree
Diagrams
 
 Suppose
that
Akeelah
knows
the
spelling
of
8
of
10
words.
  Predict
her
chance
of
randomly
selecting
4
words
she
knows
how
to
spell.
 
  Simulate
the
situation.
 
  Draw
a
tree
diagram
to
show
the
probabilities
on
each
draw.
 
 Rabbit­Proof
Fence;
98
minutes
  Cultural
Index:

C
(Indigenous
Peoples)
  Math
Index:

I
  Investigation:
Walking
A
Long
Distance
  Math
Topics:
Writing
Algebraic
Expressions,
Dimensional
Analysis,
Graph
 Systems
of
Equations.
 
 The
Girls
walked
1200
miles
in
9
weeks.
 
  Estimate
the
number
of
miles
walked
each
day.

Use
this
to
estimate
a
walking
 speed.
 
  The
girls
walked
2.5
mi/hr.
How
far
do
they
walk
in
1,
2,
3,…
6
hours?
 
  The
tracker
starts
6
hours
after
the
girls
and
travels
at
3.5
mi/hr.
Write
 expressions
for
the
distance
from
the
settlement
for
the
girls
and
the
tracker
 when
he
has
traveled
h
hours.
 
  When
does
the
tracker
catch
the
girls?
 
 Fourth
International
Conference
on
Ethnomathematics
(ICEm‐4),
July
25‐30,
2010,
Towson,
Maryland,
USA
 

  • 3. 
 Selena
–
PG;
128
minutes

  Cultural
Index:

C
(Latino)

  Math
Index:

I
  Investigation:
Start
Up
That
Band!
  Math
Topics:
Comparing
Rates,
Solving
Linear
Inequalities,
Problem
Solving
with
 Percents
 
 Custom
buses
for
bands
are
generally
expensive.
A
conversion‐diesel
bus
could
cost
 $168,000.
 
  Diesel
gets
9.9
mi/gal.
How
many
gallons
are
needed
to
travel
100,000
miles?
n
 miles?
 
  Write
an
equation
for
the
total
cost
to
operate
the
bus
when
it
is
driven
n
miles
 and
gas
costs
$4.85
per
gallon.

 
  Repeat
the
questions
above
for
a
propane
bus
if
it
gets
6.6
mi/gal,
propane
costs
 $1.73
per
gallon,
and
it
costs
$5000
more
than
a
diesel
bus.
 
  Which
bus
is
cheaper
to
operate?
 
 
 
 Children
of
Heaven
–
PG;
88
minutes

  Cultural
Index:

B
(Asian/Iranian)

  Math
Index:

I
  Investigation:

Lavash
Bread

  Math
Topics:
Area
Measurement,
Geometric
Modeling,
Determining
Patterns
 
 A
bakery
sells
lavash
bread
with
dimensions
14
by
20
inches
and
very
thin.

 
 
 
  Estimate
the
surface
area
of
the
bread.
 
  How
many
pieces
of
bread
can
you
have
with
1
tear?
2
tears?
3
tears?

 
  How
many
tears
are
needed
to
have
1
piece
of
bread
for
each
of
28
students?
 
  Given
a
recipe
for
lavash
bread,
find
the
amount
of
each
ingredient
to
make
 enough
for
a
class.
 Fourth
International
Conference
on
Ethnomathematics
(ICEm‐4),
July
25‐30,
2010,
Towson,
Maryland,
USA
 

  • 5. 
 Interdisciplinary
Potential
of
Films
 Rabbit­Proof
Fence
 
 • English
–
Essays
and
reports
about
scenes
from
the
movie
 
 • Social
 Studies
 –
 Discuss
 racial
 implications
 of
 policies
 related
 to
 removing
 children
 from
their
homes
 
 • Science
 –
 Environmental
 issues
 related
 to
 animal
 populations
 and
 their
 natural
 predators
 
 • Business
–
Investigate
the
potential
financial
benefit
from
this
governmental
policy
 
 Using
Films
in
Classrooms
 
 • Preview
all
films
(avoid
language,
violence,
sexual,
or
extremely
sensitive
issues).
 • Check
school
policies
for
viewing
films:
 o View
entire
film
during
class.
 o Have
students
view
film
as
homework.
 o View
only
specific
scenes
of
the
film.
 o View
film
as
an
outside‐class
project.
 o View
film
in
another
class
as
part
of
an
interdisciplinary
unit.
 • Note
copyright
regulations
for
showing
films.

 • Use
film
resources
with
purposeful
intent.
 
 References:
 
 Chappell,
M.
F.,
&
Thompson,
D.
R.
(2009).
Math,
Culture,
and
Popular
Media:
Activities
to
 engage
middle
school
students
through
film,
literature,
and
the
internet.
Portsmouth,
 NH:
Heinemann.
 
 Davis,
 Bonnie
 M.
 (2006).
 How
 to
 Teach
 Students
 Who
 Don’t
 Look
 Like
 You:
 Culturally
 Relevant
Teaching
Strategies.
Thousand
Oaks,
CA:
Corwin
Press.
 
 Film
Media:

 
 Akeelah
 and
 the
 Bee.
 (2006).
 Produced
 by
 Nancy
 Hult
 Ganis,
 Sid
 Ganis,
 Laurence
 Fishburne,
 Michael
 Romerse,
 and
 Danny
 Llewelyn.
 Written
 and
 Directed
 by
 Doug
 Atchison.
112
minutes.
Lionsgate.
Film.
 Children
 of
 Heaven.
 (1999).
 Produced
 by
 Institute
 for
 the
 Intellectual
 Development
 of
 Children
 and
 Young
 Adults.
 Written
 and
 Directed
 by
 Majid
 Majidi.
 88
 minutes.
 Miramax
Films.
Film.
 
 Rabbit­Proof
Fence.
(2002).
Produced
by
Philip
Noyce
and
Christine
Olson.
Directed
by
 Philip
Noyce.
94
minutes.
Miramax
Films.
Film.
 Selena.
 (1997).
 Produced
 by
 Moctesuma
 Esparza.
 Written
 and
 Directed
 by
 Gregory
 Nava.
128
minutes.
Warner
Brothers.
Film.
 Fourth
International
Conference
on
Ethnomathematics
(ICEm‐4),
July
25‐30,
2010,
Towson,
Maryland,
USA