Research-based Instructional Shifts

5 Practices for Orchestrating Productive Mathematical Discourse

NYS Shifts Overview Handout

NYS Next Generation Math Standards

General References for the Shifts

Original PPT from NYC about the Shifts

Shift #1

1. Key Attributes

2. Key Elements of Mathematics Learning

3. Who’s Doing the Thinking in the Math Classroom?

4. Podcast with Dr. Kristopher Childs

Shift #2

1. Low-Floor High-Ceiling Tasks

2. Launching Complex Tasks

3. Posing Cognitively Demanding Tasks to All Students

Examples and Nonexamples of Low-Floor, High-Ceiling Tasks

• PLC Editable PDF

• ChatGPT Examples

Shift #3

1. Cultural and Linguistic Equity for MLs/ELLs

2. Developing Language and Content

3. Precision over Perfection 

4. Math Routines to Support Language

Additional Resources

• Academic Conversations Tools from Dr. Jeff Zwiers

• Math Constructive Conversation Skills Poster

• Accelerating Oral Language with Academic Conversations by Dr. Jeff Zwiers

Shift #4

1. UDL Math

2. Developing an Asset Orientation

3. Presume Competence

4. How Amalia Multiples

5. Developing Math Identity

Shift #5

1. Phase 1 Algebra I Implementation

2. IM Implementation and Reflection Tool

3. Are We Doing it Right?

Curriculum Resources to Evaluate:

• Big Ideas (NYS Aligned)

• IM Kendall Hunt Version

Worked Examples

K - 2 Sample

3 - 5 Sample

K - 5 Uses Groups 1 - 10

Group 1

Group 2

Group 3

Group 4

Group 5

Group 6

Group 7

Group 8

Group 9

Group 10

Middle School Sample

High School Sample

6 - 12 Uses Groups 11 - 15

Group 11

Group 12

Group 13

Group 14

Group 15