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Problem Solving Metaphors: Listening for Student Experiences CMC-South, Palm Springs, 2013. Sean Yee [email protected] California State University, Fullerton Ashley Thune- Aguayo [email protected] California State University, Fullerton. Game Plan.

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problem solving metaphors listening for student experiences cmc south palm springs 2013

Problem Solving Metaphors: Listening for Student ExperiencesCMC-South, Palm Springs, 2013

Sean Yee

[email protected]

California State University, Fullerton

Ashley Thune-Aguayo

[email protected]

California State University, Fullerton

game plan
Game Plan
  • (20 min) Theoretical Background & Results
  • (20 min) How this has helped teachers
  • (20 min) Watch Student and Teacher Video
  • (15 min) Design of Professional Development
  • (15 min) What’s Next? Questions?
what are conceptual metaphors
What are Conceptual Metaphors?

Each Literal Metaphor has a Conceptual Metaphor.

A Conceptual Metaphor is a mapping, attaching two different ideas together.

Metaphora- Greek - A Transfer

what are conceptual metaphors1
What are Conceptual Metaphors?

Literal Metaphor:

“Once I read it I kind of understood what it was saying”

Conceptual Metaphor:

WRITTEN PROBLEMS ARE SPOKEN PROBLEMS

TARGET DOMAIN IS () SOURCE DOMAIN

try one
Try One

Literal Metaphor

“To solve it for me, it meant that I had to find it somehow.”

Conceptual Metaphor

PROBLEM SOLVING IS SEARCHING

ABSTRACT IDEA IS CONCRETE EXPERIENCE

(Structural Metaphor)

one more
One More…

Literal Metaphor

“So I don’t think this would be a route that Iwould immediately jump to.”

“I think I know where to go”

“I’m lost”

Conceptual Metaphor

PROBLEM SOLVING IS A JOURNEY

metaphors describe shared experiences
Metaphors Describe Shared Experiences.
  • “So I don’t think this would be a route that I would immediately jump to.”
  • “I think I know where to go”
  • “I’m lost”
my work
My Work
  • 2011 I began applying this to problem solving (Pilot study with 9 high students)
  • 2012 22 Student Video Interviews
  • 2013 23 Teacher Video Interviews
problem solving is
Problem Solving is…
  • JOURNEY
  • SEARCHING
  • DISCOVERY
  • BUILDING
  • PARTITIONING
  • PROCESS
  • VISUALIZATION
something happened
Something Happened
  • I became a better teacher from CMT analysis.
  • I began to use CMT in real time.
  • I listened to students, not for answers.
  • Brent Davis (1991)
cmt analysis for listening
CMT Analysis for Listening

Example: CLOSURE

Teaching Math for Elementary Teachers

INTEGERS

ADDITION

copi ashley thune aguayo
CoPI Ashley Thune-Aguayo

Functions *(paraphrased)

STUDENT: hit on-targetwith the first shot, and would hit the corewith the second shot.

ASHLEY: If I shoot an arrow, and it hits a target, could I then shoot a second arrow, and hit the same target?

STUDENT: Well, yes.

ASHLEY: Could I hit two completely separate targets with a single arrow?

STUDENT No.

ONE ARROW (one input) TWO TARGETS (two outputs) NOT POSSIBLE.

copi ashley thune aguayo1
CoPI Ashley Thune-Aguayo

X-Y Plane

Ordered Pairs (3,7)

Misconception:

North/South THEN East/West

Adjustment

East/WestTHEN North/South

your turn
Your turn!!!
  • Geometry Problems on first page of handout.
  • Student Transcript, try to identify, a common metaphor with the Bolded words.
  • Teacher Transcript, try to identify, a common metaphor with the Boldedwords.
what did you think
What did you think?
  • Were you overwhelmed?
  • Did your listening change?
  • What Conceptual Metaphors did people identify?
  • Can you see this being helpful for teachers?
current work
Current Work
  • 2013 Intramural Grant creating Teacher Professional Development.
  • 2014 Pilot Professional Development with 4-8 teachers in local high schools on improving listening through CMT analysis.
  • 2015 Aim for NSF Discovery K-12 Grant with 30 teachers from multiple high schools.
professional development
Professional Development
  • 1. Learn CMT with video, transcripts, and rewinding.
  • 2. Learn CMT with video.
  • 3. Learn CMT with each other in real time.
  • 4. Learn CMT in conversations with classroom.
  • 5. Generate Lesson Plans with CMT
measuring results
Measuring Results
  • Pre-Test
    • Teacher Listening Style Profile
    • Student Perceptions of Teacher Listening
    • Time Teacher Spends in Class Listening
  • Summer Two-Week Professional Development
  • Teacher-Generated Lesson Plans
  • Post-Test
    • Teacher Listening Style Profile
    • Student Perceptions of Teacher Listening
    • Time Teacher Spends in Class Listening
slide23

SPRING 2013-PRELIMINARY DATA COLLECTION

  • -Collect initial data by recording teachers in classroom (time spent listening, type of listening).
  • -Teacher’s students complete initial survey about teacher listening (Student Perception Survey, SPS).
  • -Teachers complete both initial surveys about listening (Listening Styles Profile, LSP; Teacher Listening Survey, TLS)
  • SUMMER 2014-PROFESSIONAL DEVELOPMENT: TEN, 2-HOUR SESSIONS OVER TWO WEEKS.
  • FALL 2014-FINAL DATA COLLECTION
  • -Collect data by recording teachers in classroom (time spent listening, type of listening).
  • -Teacher’s students complete surveys about teacher listening (Student Perception Survey, SPS).
  • -Teachers complete both surveys about listening (Listening Styles Profile, LSP; Teacher Listening Survey, TLS).
  • -Data is analyzed by PI and Co-PI to look for changes in teacher listening behavior and pedagogical practices.
conceptual metaphor theory cmt
Conceptual Metaphor Theory(CMT)
  • 1980’s Lakoff-”Metaphors We Live By” Cog Sci
  • 1990’s Sfard, English, Moschkovich DISCOURSE Davis (1991) Listening Theory
  • 2000’s Linguists (Kovecses) develop metaphorical systems as descriptive, not prescriptive. CMT Analysis used on mathematics (invented vs discovered)
  • 2007 Marcel Danesi uses CMT analysis to deconstruct the complexity in LEARNING mathematical concepts.
trying cmt listening in real time
Trying CMT Listening in Real Time…
  • Imagine you had a piece of string. How would you shape this string to make a triangle bounded by the string with the greatest area?
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