NCTM LA 2022 (#NCTMLA22)

Rethinking Pre-Assessments: Gathering Data with Equity in Mind
NCTM Annual 2022 – Los Angeles #NCTMLA22

Link to Handouts (PDF)

Resources Cited

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

Bracey, Jamie M. (2013). “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, 171-194.

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

Guskey, Thomas R. (2018). “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.

NCTM (2020). Catalyzing Change in Early Childhood and Elementary Mathematics. Reston, VA: National Council of Teachers of Mathematics.

Lesson Materials (From the Session)

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 arrays)

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’ Listening to Learn
Kendra Lomax’s CGI interview
New Zealand Numeracy Project

Diagnostic Assessments

Illustrative Mathematics’ About Diagnostic Assessments