Table of Contents
- Content Home
Welcome
Module Overview- Pre-Assessment
- Unit 1: Teaching and Learning the Standards for Mathematical Practice
- Unit 2: Overarching Habits of Mind: MP1 and MP6
- Unit 3: Reasoning and Explaining (MP2 and MP3)
- 3.0 Unpacking MP2 and MP3
- 3.1 Beginning to Reason: Definitions and Conjectures
- 3.2 Explaining and Justifying
- Taxonomy of Questions in Mathematical Discourse
- 3.3 Identifying Flaws in Reasoning
- 3.4 Making Arguments More Viable
- 3.5 Summary
- Unit 4: Modeling and Using Tools (MP4 and MP5)
- Unit 5: Seeing Structure and Generalizing (MP7 and MP8)
- Unit 6: Summary and Next Steps
- Post-Assessment
Certificate of Completion- Glossary
Resources- Acknowledgements
Module Evaluation
Unit 1: Teaching and Learning the Standards for Mathematical Practice
1.1.2 The Standards for Mathematical Practice
As stated on page 6 of the CCSS for Mathematics:
“[The mathematical] practices rest on important “processes and proficiencies” with longstanding importance in mathematics education. The first of these are the NCTM process standards of problem solving, reasoning and proof, communication, representation, and connections. The second are the strands of mathematical proficiency specified in the National Research Council’s report Adding It Up: adaptive reasoning, strategic competence, conceptual understanding…, procedural fluency…, and productive disposition …”
Select the titles to link to the full documents below. Select "Read more…" to dig deeper into the processes and/or proficiencies. Then continue on for more information on the SMP.
The SMP processes are derived from the NCTM process standards outlined in the publication, Principles and Standards for School Mathematics.
There are five process standards for mathematical practice:
- Problem Solving
- Reasoning and Proof
- Communication
- Representation
- Connections
Take a few minutes to read more about these five processes
The SMP proficiencies are based on the strands of mathematical proficiency as specified in the National Research Council’s report, Adding It Up: Helping Children Learn Mathematics.
There are five proficiencies for mathematical practice:
Adaptive Reasoning- Strategic Competence
- Conceptual Understanding
- Procedural Fluency
- Productive Disposition
Take a few minutes to read more
about these five proficiencies.
Mathematics: Kindergarten through Grade Twelve (K–12) Standards for Mathematical Practice. Brought to you by the California Department of Education, the Regents of the University of California, and the California Mathematics Project.
For questions or feedback, please e-mail commoncoreteam@cde.ca.gov.
