MTP 3: Use & connect mathematical representations.

Elements of Practice: 3

What does the research say?

Mathematics Teaching Practice #3: Use and connect mathematical representations.

Effective teaching of mathematics engages students in making connections among mathematical representations to deepen understanding of mathematics concepts and procedures and as tools for problem solving.

Use & Connect Multiple Representations:

“Tripathi (2008) noted that using these ‘different representations is like examining the concept through a variety of lenses, with each lens providing a different perspective that makes the picture (concept) richer and deeper’” (p. 25).

“Students’ understanding is deepened through discussion of similarities among representations that reveal underlying mathematical structures of essential features of mathematical ideas that persist regardless of the form (Zimba, 2011).”

Investigate

Why does the practice work?

First, watch the video for your grade level band. As you watch, intentionally look for connections with MTP3 where there is evidence of multiple representations used to support student understanding.

CSA Demonstration, Addition.webm

Grades K-1

Grades 2 & 3

Grades 4 & 5

Explore

How might this practice work in our classroom?

Choose a task from the list below that best matches your grade level. Work through the task and intentionally make your thinking visible by using mathematical tools, manipulatives, tables, drawings, etc. Snap a photo of your work if you're using concrete tools OR take a screenshot of your screen if you're using digital tools. Drop your image and a brief explanation of your thinking into our collaborative padlet.

*feel free to make a copy of the task below or print

Click HERE to access our Padlet.

Math Tools by Grade Band

Reflect

How might we see ourselves and our practice in the research?

Using the table below, reflect and assess the actions you believe are evident in your practice. Then, think about how students experience learning in your classroom. Are there student actions evident in your practice?