Additional Resources to Accompany PD Modules

Arguments: Supplemental Narrated Powerpoints

These 4 narrated powerpoint discuss arguments in more depth. 

Talk Frame Icons

Talk Frame Icons (Word version)

Talk Frame

Arguments and Procedures: How are procedures part of argumentation? 

More Helpful Resources About Mathematical Argumentation:


Additional Readings

  • Developing Essential Understanding of Proof and Proving: Grades 9 – 12, NCTM.
  • Reid, D. (2002). Describing reasoning in early elementary school mathematics.” Teaching Children Mathematics, 9(4), 234-237.

Reid describes several types of mathematical reasoning that elementary school students use and offers some pedagogical ideas. Article at:

Day 4 – Argumentation: Day 4_Arg_Handout 1_Take Aways and Resources


Articles Related to the Bridging Math Practices Project

BPCME Annotated Bibliography

Math Teaching in the Middle School Articles 2010

Math Teaching in the Middle School Articles  2011-2014

Elementary Writing Resources

Mathematics Teacher 2010-2014

Videos to Accompany Bridging Math Practices PD Modules

Module 3: Comparing Fraction Video
Module 4: Clip 1 – Is it a Half? Video
Module 4: Clip 2 – Is it a Half? Video