NCTM Boston 2019

Rethinking Pre-Assessments: Gathering Data with Equity in Mind
NCTM Boston: September 26, 2019

Link to Handouts (PDF)

 

Resources Cited

Aguirre, J., Mayfield-Ingram, K., & Martin, D. The Impact of Identity in K–8 Mathematics Learning and Teaching: Rethinking Equity-Based Practices. Reston, VA: National Council of Teachers of Mathematics, 2014.

Bracey, Jamie M. “The Culture of Learning Environment: Black Student Engagement and Cognition in Math.” The Brilliance of Black Children in Mathematics: Beyond the Numbers Toward New Discourse. Ed. Jacqueline Leonard. Ed. Danny B. Martin. Charlotte, NC: Information Age Publishing, 2013, 171-194.

Carpenter, T., Fennema, E., Franke, M., L. Levi, and S. Empson. Children’s Mathematics, Second Edition: Cognitively Guided Instruction. Portsmouth, NH: Heinemann, 2014

Guskey, Thomas R. “Does Pre-assessment Work?” Educational Leadership. Vol 75, No. 5, Pages 52-57.

McCallum, William (2019). “What is Problem Based Instruction?” published on the Illustrative Mathematics blog on February 19, 2019.
https://illustrativemathematics.blog/2019/02/19/what-is-problem-based-instruction/

NCTM (1995). Assessment Standards for School Mathematics. Reston, VA: National Council of Teachers of Mathematics. Accessible here: https://www.nctm.org/Standards-and-Positions/More-NCTM-Standards/Assessment-Standards-(1995)/

NCTM (2014). Principles to Action: Ensuring Mathematical Success for All. Reston, VA: National Council of Teachers of Mathematics.

 

Lesson Materials:

Resources for Teaching

• Graham Fletcher’s Krispy Kreme Me 3 Act Task
• Kyle Pearce’s Donut Delight 3 Act Task
• Chris Hunter’s Arrays & Partial Products (follow up lesson materials)
• Chris Hunter’s Krispy Kreme: Connecting Strategies and Models (to support  analysis of student work)

Resources for Planning and Analyzing Student Work

• Full set of student work samples from one class
• Krispy Kreme Data Tracker Google Sheet (names removed)
• Full set of student work samples from follow up lesson (splitting 7×14 arrays, splitting 25×32 rarays)

Additional Resources

Learning Progressions

• Cognitively Guided Instruction books from Heinemann
  • Children’s Mathematics
  • Young Children’s Mathematics
  • Extending Children’s Mathematics: Fractions and Decimals
  • Thinking Mathematically
• Graham Fletcher’s Progressions Videos
• New Zealand Numeracy Project

3 Act & Problem-Based Lessons

• Dan Meyer spreadsheet
• Graham Fletcher (K-5)
• Kyle Pearce (3-12)
• Kendra Lomax (K-3)
• Catherine Castillo (K-5)
• Kristen Acosta (K-6)
• Robert Kaplinsky (K-12)
• Jon Orr (6-12)
• Dane Ehlert (3-12)
• Andrew Stadel (4-8)
• Mike Wiernicki (3-8)
• Andrew Gael (K-8)

Clinical Interviews

• Marilyn Burns’ Math Reasoning Inventory
• Kendra Lomax’s CGI interview
• New Zealand Numeracy Project

Diagnostic Assessments

• Illustrative Mathematics’ About Diagnostic Assessments