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Mathematics is Storytelling:
Bringing Play and a Sense of Narrative
         to Problem Solving
       Kassia Omohundro Wedekind
In this presentation…
Research on the connection between
storytelling/narrative ability and mathematics

Change in practice—move beyond word problems with
math exchanges in kindergarten

Mathematician statements—teacher language to
communicate behaviors and practices of
mathematicians to students

Living a rich mathematical life—implications for
teachers and students
Storytelling and Math

Daniela O’Neill, University of Waterloo

Is narrative ability important to academic
achievement? And, if so, which aspects
of narrative ability matter?
Storytelling and Math

Event Content

Conjunction Use

Perspective Shift

Mental State References
Storytelling and Math

"The main activity that prepared the
human brain for being able to do
mathematics…was keeping track of
interpersonal relationships in an
increasingly complex society."

(Devlin, 2000: 3)
Storytelling and Math
So, why does this matter, and what
are the implications for instruction?




 Storytelling             Math
Changes in Thinking



          Mathematize
Changes in Practice


     How?
Reexamine Problem Solving
   with Young Children
How We Change

Facilitate problem solving experiences
based on contextually meaningful and
mathematically significant problems

Create a community in which living a rich
mathematical life is expected
Word Problems

                                  Ana had 10 pencils. She
                                  gave 3 pencils to Casey.
                                  How many pencils does
                                  Ana have now?



 Katie has 5 shirts. Each shirt
   has 3 buttons. How many
buttons does Katie have on her
            shirts?
Math Exchanges
1) Short, focused sessions that bring all
  mathematical minds together
2) Responsive to the needs of the
  specific group of mathematicians
3) Designed for meaningful, guided
  reflection
Counting Collections
Counting Collections
Counting Collections




A counting collection of elephants on our line-up tape
Counting Collections
How many do you think you have? How could you figure
it out?

How did you keep track of your elephants when you
counted?

Look how far your cubes have stretched! I wonder how
many cubes it would take to stretch across the whole
table.

Do you think you have more elephants than Kyra? How
do you know?
The Straws Problem
The Straws Problem
The Straws Problem
The Straws Problem
The Straws Problem
The Straw Problem
      as a Routine
We know that yesterday we needed ___ straws for
lunchtime. How many straws do you think we will need
today?

Will we need the same number of straws or a different
number of straws? Why does the number of straws
change?

What if we want to figure out how many napkins we
need? Would that be the same as the number of straws
we need?
Mathematician
            Statements
Mathematicians statements that focus on the structure
of different problem types and understanding what is
going on:

  "Mathematicians listen to the story and tell it again
  to figure it out/to figure out the problem."

  "Mathematicians think about what is happening in
  the story. This helps them figure out the problem."
Math Exchanges and
    Imaginative Play
       Queen of Ten

Introduces significance of
ten in our number system
through:

  Counting routines

  Quick image routines

  Problem solving
Queen of Ten

The Queen of Ten:
Broken Wand Routine
Queen of Ten:
40th Day Visit
Math Exchanges and
 Imaginative Play
Gingerbread Man
Problem Solving
Understanding
      5 and 10 Structure




  "The gingerbread man wants to cross the river without
getting wet and soggy. He needs to jump across ten rocks
       to cross the river. The rocks looked like this."
Understanding
        5 and 10 Structure




 "He has to jump across ten rocks to get to the other side of
the river. He started like this. '1, 2, 3, 4. I’m one tired cookie.
       I’m going to take a nap right here on this rock'"
Understanding
       5 and 10 Structure




"When he wakes up, how many rocks will the gingerbread
 man need to cross to get to the other side of the river?"
Decomposing
Teen Numbers
        "There are 13 stones.
        He’s already done 10,
            so 11, 12, 13"
Decomposing
Teen Numbers
       "Ten stones and three more
         is thirteen. I just saw 10
             and three more."
Trick or Treating Play




    Guided task that leads into
   more open mathematical play.
Multiplication
Math Exchange
Multiplication
Math Exchange
Multiplication
Math Exchange
  "So, how many     "5. Here they are:
   candy corn do    1,2, 1,2, 1,2, 1,2,
 you need for the          1,2."
     cookies?"
Multiplication
Math Exchange
Live a Rich
Mathematical Life
Share This Mathematical
 Life With Our Students
Inspire Their Rich
Mathematical Lives
Imaginative Play
Exploratory Play
Mathematize
the World Around Us
Imagine if, at the end of the school year, all
  kindergarteners left understanding math as a
  medium through which to wonder about and
investigate their world. Imagine if each child left
   kindergarten with a sense of ownership and
 agency in the world of mathematics. Imagine if
  all kindergarteners viewed mathematics as a
    place for play, creativity, and imagination.
     Imagine the possibilities for these young
            mathematicians. Endless.
More on Storytelling
   — Math Connection
Julie Rehmeyer’s article, "Good Stories, Good Math"

Keith Devlin’s article, "Predicting Math Ability"

Daniela’s O’Neill’s paper, "Preschool Children’s Narratives and
Performance on the Peabody Individualized Achievement Test—
Revised: Evidence of a Relation Between Early Narrative and
Later Mathematical Ability"
Kassia Omohundro Wedekind
     omohundro@gmail.com
www.mathexchanges.wordpress.com
  @kassiaowedekind on Twitter

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Math is Storytelling

  • 1. Mathematics is Storytelling: Bringing Play and a Sense of Narrative to Problem Solving Kassia Omohundro Wedekind
  • 2. In this presentation… Research on the connection between storytelling/narrative ability and mathematics Change in practice—move beyond word problems with math exchanges in kindergarten Mathematician statements—teacher language to communicate behaviors and practices of mathematicians to students Living a rich mathematical life—implications for teachers and students
  • 3. Storytelling and Math Daniela O’Neill, University of Waterloo Is narrative ability important to academic achievement? And, if so, which aspects of narrative ability matter?
  • 4. Storytelling and Math Event Content Conjunction Use Perspective Shift Mental State References
  • 5. Storytelling and Math "The main activity that prepared the human brain for being able to do mathematics…was keeping track of interpersonal relationships in an increasingly complex society." (Devlin, 2000: 3)
  • 6. Storytelling and Math So, why does this matter, and what are the implications for instruction? Storytelling Math
  • 7. Changes in Thinking Mathematize
  • 8. Changes in Practice How? Reexamine Problem Solving with Young Children
  • 9. How We Change Facilitate problem solving experiences based on contextually meaningful and mathematically significant problems Create a community in which living a rich mathematical life is expected
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  • 11. Word Problems Ana had 10 pencils. She gave 3 pencils to Casey. How many pencils does Ana have now? Katie has 5 shirts. Each shirt has 3 buttons. How many buttons does Katie have on her shirts?
  • 12. Math Exchanges 1) Short, focused sessions that bring all mathematical minds together 2) Responsive to the needs of the specific group of mathematicians 3) Designed for meaningful, guided reflection
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  • 19. Counting Collections A counting collection of elephants on our line-up tape
  • 20. Counting Collections How many do you think you have? How could you figure it out? How did you keep track of your elephants when you counted? Look how far your cubes have stretched! I wonder how many cubes it would take to stretch across the whole table. Do you think you have more elephants than Kyra? How do you know?
  • 26. The Straw Problem as a Routine We know that yesterday we needed ___ straws for lunchtime. How many straws do you think we will need today? Will we need the same number of straws or a different number of straws? Why does the number of straws change? What if we want to figure out how many napkins we need? Would that be the same as the number of straws we need?
  • 27. Mathematician Statements Mathematicians statements that focus on the structure of different problem types and understanding what is going on: "Mathematicians listen to the story and tell it again to figure it out/to figure out the problem." "Mathematicians think about what is happening in the story. This helps them figure out the problem."
  • 28. Math Exchanges and Imaginative Play Queen of Ten Introduces significance of ten in our number system through: Counting routines Quick image routines Problem solving
  • 29. Queen of Ten The Queen of Ten: Broken Wand Routine
  • 30. Queen of Ten: 40th Day Visit
  • 31. Math Exchanges and Imaginative Play
  • 33. Understanding 5 and 10 Structure "The gingerbread man wants to cross the river without getting wet and soggy. He needs to jump across ten rocks to cross the river. The rocks looked like this."
  • 34. Understanding 5 and 10 Structure "He has to jump across ten rocks to get to the other side of the river. He started like this. '1, 2, 3, 4. I’m one tired cookie. I’m going to take a nap right here on this rock'"
  • 35. Understanding 5 and 10 Structure "When he wakes up, how many rocks will the gingerbread man need to cross to get to the other side of the river?"
  • 36. Decomposing Teen Numbers "There are 13 stones. He’s already done 10, so 11, 12, 13"
  • 37. Decomposing Teen Numbers "Ten stones and three more is thirteen. I just saw 10 and three more."
  • 38. Trick or Treating Play Guided task that leads into more open mathematical play.
  • 41. Multiplication Math Exchange "So, how many "5. Here they are: candy corn do 1,2, 1,2, 1,2, 1,2, you need for the 1,2." cookies?"
  • 44. Share This Mathematical Life With Our Students
  • 49. Imagine if, at the end of the school year, all kindergarteners left understanding math as a medium through which to wonder about and investigate their world. Imagine if each child left kindergarten with a sense of ownership and agency in the world of mathematics. Imagine if all kindergarteners viewed mathematics as a place for play, creativity, and imagination. Imagine the possibilities for these young mathematicians. Endless.
  • 50. More on Storytelling — Math Connection Julie Rehmeyer’s article, "Good Stories, Good Math" Keith Devlin’s article, "Predicting Math Ability" Daniela’s O’Neill’s paper, "Preschool Children’s Narratives and Performance on the Peabody Individualized Achievement Test— Revised: Evidence of a Relation Between Early Narrative and Later Mathematical Ability"
  • 51. Kassia Omohundro Wedekind omohundro@gmail.com www.mathexchanges.wordpress.com @kassiaowedekind on Twitter