Rubrics & Frameworks
This list is an informal collection of rubrics for teachers/coaches/leaders to use as tools for shared learning and progress.
Focused Observation Rubrics and Observation Tools (single-topic)
Mathematical Teaching Practices Continuum Rubrics from NCSM Essential Actions -- measured on a teacher-centered vs student-centered continuum. Matches up mostly with the Idaho Mathematics Instructional Framework. (backup link)
Standards for Mathematical Practice Quick Reference NWEA Guide (backup link) - Outlines the SMPs with targeted student skills per standard including "before solving, students will be able to..." "during solving, students...", and "after solving, students...". Potential student responses for each skill are included using 4th-grade math examples.
Youcubed Teacher Guide Rubric: How Visual is my Maths Teaching? - via Stanford Youcubed /Jo Boaler (backup link)
Levels of Classroom Discourse From Hufford-Ackles, Fuson, and Sherin (2014) (backup link)
Classroom Discourse Teacher and Student Moves - via Doing and Talking Math and Science NSF grant (backup link)
Student Engagement Framework - via Harvard MQI (backup link)
Math Teaching Practices Rubric via Louisiana Believes - A lovely rubric that outlines things to look for in tasks and practice focused on the 8 MTPs. (Institute for Advanced Study/Park City Mathematics Institute/ Created by Learning Services, Modified by Melisa Hancock, 2013)
Standards for Mathematical Practice Rubric via Ohio State Department of Education (backup link)
Standards for Mathematical Practice Rubric via Emergent Math Geoff Krall (backup link)
Idaho RMS Staff, see the SMS playbook for instructional topics outlined and their associated checklists
Cognitive Demand of Tasks in Math Classrooms
Math Task Rigor Analysis Guide
The staff at U of Texas at Austin Dana Center want to emphasize that the IC maps below are more than a rubric and should NEVER be used for evaluation.
Math IC Map: Mathematical Representations (MTP #3)
Math IC Map: Facilitate Meaningful Mathematical Discourse (MTP #4)
Math IC Map: Posing Purposeful Questions (MTP #5)
Math IC Map: Eliciting Evidence of Student Thinking ICM (MTP #8)
Math IC Map: Engaging in the Formative Assessment Process ICM
Rubric Frameworks
TRU Math Framework via MARS at U of Nottingham. Five areas are present on each rubric 1-The Mathematics, 2-Cognitive Demand, 3-Access to Mathematical Content, 4-Agency, Authority, and Identity, 5-Uses of Assessment. The rubrics are
Whole Class Activities: Launch, Teacher Exposition, Whole Class Discussion
Small Group Work
Student Presentations
Individual Work
Robustness of Algebraic TaskTasks
MQI Framework via Harvard. Attempt to codify anything a coach might notice, including sections like "Imprecision in Language or Notation", "Teacher Uses Student Ideas", "Linking Between Representations", and so on. Harvard would appreciate your accessing the framework through their website mqicoaching.org.
Click to extend MQI Framework Segment codes
1. Classroom Work is Connected to Mathematics 3
Richness of the Mathematics 4
2. Linking Between Representations 5
3. Explanations 6
4. Mathematical Sense-Making
5. Multiple Procedures or Solution Methods
6. Patterns and Generalizations 10
7. Mathematical Language 11
8. Overall Richness of the Mathematics 12
Working with Students and Mathematics 13
9. Remediation of Student Errors and Difficulties 14-15
10. Teacher Uses Student Mathematical Contributions 16-17
11. Overall Working with Students and Mathematics 18
Errors and Imprecision 19
12. Mathematical Content Errors 19
13. Imprecision in Language or Notation 20-21
14. Lack of Clarity in Presentation of Mathematical Content 22
15. Overall Errors and Imprecision
Common Core Aligned Student Practices
16. Students Provide Explanations 25
17. Student Mathematical Questioning and Reasoning (SMQR) 26
18. Students Communicate about the Mathematics of the Segment 27
19. Task Cognitive Demand
20. Students Work with Contextualized Problems
21. Overall Common Core Aligned Student Practices 31
WHOLE LESSON CODES
1. Lesson Time is Used Efficiently 32
2. Lesson is Mathematically Dense 32
3. Students are Engaged 33
4. Lesson Contains Rich Mathematics 33
5. Teacher Attends to and Remediates Student Difficulty 34
6. Teacher Uses Student Ideas 34
7. Mathematics is Clear and not Distorted 35
8. Tasks and Activities Develop Mathematics 35
9. Lesson Contains Common Core Aligned Student Practices 36
10. Whole-Lesson Mathematical Quality of Instruction
Meta Rubrics for Coaching, PD, and Admin
Colorado High Quality Professional Development Rubric - A research-based rubric to gauge the efficacy of PD
Colorado MTSS Fidelity Rubric - A research-based rubric to gauge the effectiveness of MTSS implementation at the school/administrative level.
Colorado Meeting Efficacy Rubric
EL Education Criteria for a High-Functioning Leadership Team - Great, short rubric for evaluating leadership team efficacy.