The document describes the MathVision project, which aims to facilitate teacher collaboration and discussion of student mathematical thinking through a mobile video application. The project was developed using design-based research and lean startup methodologies. Teachers filmed students solving math problems, and the videos were uploaded and shared with other teachers, who could view, comment on, and tag the videos with learning progressions. Pilot testing found that the physical discussions between teachers were more meaningful than online discussions, but teachers had difficulty finding time for interviews. The project aims to continue developing the technology to better support teacher practices and facilitate collaboration.

1. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
MathVision: A Mobile Video
Application for Math Teacher
Noticing Of Learning Progressions
Stephen Lewis, Theodore Chao, and Michael Battista
The Ohio State University

2. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
The Agenda/Outline
● Try this task and show your strategy (5 min)
● Intro to the MathVision Project: (20 min)
○ Theoretical Background/Conceptual Framing (5 min)
○ How we developed/built it (5 min)
○ Break into small groups to look at children’s thinking (5 min)
○ Introduce the technology and how it works (5 min)
○ Results from Pilot Study (5 min)
● Discussion: (15 min)
○ Comments/Questions for how to move forward with this work (10 min)

3. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
MathVision: Theoretical Framing
● Theoretical Background:
○ Cognitively Guided Instruction (Carpenter et al., 1999)
○ Learning Progressions/Cognition-Based Assessments (Battista, 2012)
○ Mathematics Teacher Noticing (Jacobs, Lamb, & Philipp, 2010)
○ Teacher Video Clubs (Sherin & Van Es, 2009; Van Es & Sherin, 2010)
● The Research Problem:
○ Little existent technology for facilitating teacher-to-teacher discussion
○ Busy teacher’s have less time to collaborate around children’s math thinking
● The Technology:

4. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
Cognition-Based Assessments
(Battista, 2012)
● Tool for measuring children’s thinking
● Children do not all progress at the same pace
● Allows common guidelines for teachers to:
○ Make instructional decisions
○ Communicate about children’s thinking
● Cognition-Based Assessments (CBA)
○ Problems to assess a child’s thinking
○ LP levels shown for each assessment

5. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
But, how do we do this?
When do teachers have the time and structure to engage in juicy conversation around their
children’s mathematical thinking?

6. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
The Development Process
Educational Research: Design Based Research (Cobb et al., 2003; Design Based Research
Collective, 2003)
Software Development: Lean Thinking Methodology (Ries, 2011)
● Industry standards for innovative technology development
● Conceptualized usability, interface, and functionality specifically from feedback from
real elementary mathematics teachers
● Built screenshots of the application for continual feedback
● Conducted usability/feasibility interviews with in-service and pre-service teachers

7. The
MathVision
Design Cycle

8. The
MathVision
Design Cycle

9. The
MathVision
Design Cycle

10. The
MathVision
Design Cycle

11. The
MathVision
Design Cycle

12. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
How MathVision Works
1. Teacher
Captures Video of
Child
2. Video Auto-
Uploads
3. Teachers
Comment/Tag Video
4. Teacher Team
Discussion

13. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
How MathVision Works
1. Teacher
Captures Video of
Child
2. Video Auto-
Uploads
3. Teachers
Comment/Tag Video
4. Teacher Team
Discussion

14. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
Let’s try this together!

15. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
Let’s try this together!
1. We’ll watch the video together.
2. Discuss with those around you where you
think this student is on the Learning
Progressions
3. We’ll watch it again.

16. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
Walkthrough
MathVison
● Menu
● Tips
● Tutorial Video

17. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
The Videos
● Student video
● Comments
● Tag by Grade /
Learning
Progression

18. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
Teacher Team View
● Teachers on same team see each other’s videos
● Can view and comment, give LP rating
● Owner sees comments / LP rating
● Leads to physical discussion around children’s math thinking

19. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
How MathVision Works
Teacher Captures
Video of Child
Video Auto-Uploads
Teachers
Comment/Tag Video
Teacher Team
Discussion

20. Results of Pilot Study
Positive:
● Actual physical conversations were
much more meaningful and deep
than online conversations.
○ From observation and interviews
during teacher grade-level meetings
● Math coach and Principal saw value
when sitting in on these meetings,
loved watching their teachers
engaged in deep talk about children’s
math thinking
Problematic:
● Teacher had difficulty finding time to
conduct these interviews
○ Math Coach had to facilitate
much of the interviews
● While every teacher stated that a
focus on watching children's thinking
collectively was worthwhile to their
teaching
○ Teachers reported lack of
online discussion was due to
intermittent school wifi

21. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
Next Steps
● More work needed to determine/design teacher-technology interface connecting to
how they use and think about technology in their practice
● Continue building out the web app so multiple teachers can use it
○ Help us facilitate how other teachers might use MathVision
○ Create more videos of children’s thinking aligned to specific CBA Tasks/Learning Progressions

22. @professorteds @stevelewis712 #OSUMathEd go.osu.edu/mathvision
Discussion
Our Questions:
1. What are ways to help mathematics teachers engage in discussion
with each other?
2. What are advantages that you see from using a Learning Progressions
approach? What are other approaches you might suggest?
3. What are features we can add to MathVision?
4. What lessons have you learned from similar or related projects?
Stephen Lewis: lewis.813@osu.edu
Theodore Chao: chao.160@osu.edu
Michael Battista: battista.23@osu.edu
MathVision is funded by The
Ohio State University’s
College of Education and
Human Ecology EHE SEED
Grant program.