Standards for Mathematical Practice (MP) TOM TORLAKSON State - PowerPoint PPT Presentation

Standards for Mathematical Practice (MP) TOM TORLAKSON State Superintendent of Public Instruction Lori Freiermuth, Ideally, several MP Commissioner, standards will be evident in Instructional Quality each lesson as they interact and overlap with each other. Commission The MP standards are not a checklist; they are the basis Lisa Grant, of mathematics instruction California Department of and learning. California Common Core State Education Standards for Mathematics

Structuring The Standards for Mathematical Practices TOM TORLAKSON State Superintendent of Public Instruction 1. Make sense of problems and persevere 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 6. Attend to precision. 5. Use appropriate tools strategically. in solving them. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Source: McCallum 2011. 2

Two Types of Standards TOM TORLAKSON State Superintendent of Public Instruction 3

Handout # 2 TOM TORLAKSON State Superintendent of Public Instruction From Illustrated Mathematics www.illustrativemathematics.org/content- standards/1/G/A/2/tasks/901 4

Overlapping Rectangles • What grade level do you think this task was designed for? TOM TORLAKSON State Superintendent of Public Instruction • What mathematical practices did you find yourself or your partner using? • What if you had given this to your students and they told you they found 3 rectangles, what would be your response? 5

Questioning Strategies Handout # 4 TOM TORLAKSON State Superintendent of Public Instruction 6

How Do I Develop an Activity? • What do you want students to know and understand? TOM TORLAKSON State Superintendent of Public Instruction • What is the conceptual understanding? • What can students do to promote their own learning? • Where have students struggled in the past? What do they never seem to really “get” about this concept? • Is there a real-world connection I can use to engage students? 7

Start With the Answer Traditional Open-Ended ss TOM TORLAKSON What is half of 10? The answer is 5. State Superintendent of Public Instruction What could the question be? What is the Make your own sequence? sequence, draw it, and ask your partner to draw the next three shapes. Handout #5 8

Open-Ended Problems Which Should I Choose? TOM TORLAKSON State Superintendent of Public Instruction  Solve the problem and answer the question.  Is this an open-ended problem?  If yes, what makes it open-ended? If no, why not? 9

TOM TORLAKSON State Superintendent of Public Instruction 10

California Mathematics Framework TOM TORLAKSON TOM TORLAKSON State Superintendent State Superintendent • Finished editing and designing of Public Instruction of Public Instruction • Available online only – By chapter: CDE Website • http://www.cde.ca.gov/ci/ma/cf/draft2 mathfwchapters.asp – Whole document: Digital Chalkboard • https://www.mydigitalchalkboard.org/p ortal/default/Resources/Viewer/Resour ceViewer?action=2&resid=516590 11

Executive Summaries TOM TORLAKSON TOM TORLAKSON State Superintendent State Superintendent of Public Instruction of Public Instruction • For both frameworks • Available online at the Sacramento County Office of Education http://www.scoe.net/News/Pages/2015/october/ 23academic_frameworks.aspx 12

The Grade-Level Brochures TOM TORLAKSON TOM TORLAKSON For both Mathematics and ELA/ELD State Superintendent State Superintendent of Public Instruction of Public Instruction What Your Student Will Learn: – Kindergarten – Grade Two – Grades Three – Five – Grades Six – Eight – Grades Nine – Twelve Also available in Spanish 13

My Digital Chalkboard TOM TORLAKSON TOM TORLAKSON Mathematics: Kindergarten through State Superintendent State Superintendent of Public Instruction of Public Instruction Grade Twelve Standards for Mathematical Practice https://www.mydigitalchalkboard.org/auth/portal/default/ Content/Viewer/Content?action=2&scId=306591&sciId=18 252 14

Contact Information : TOM TORLAKSON TOM TORLAKSON State Superintendent State Superintendent of Public Instruction of Public Instruction Lisa Grant, Math Consultant, California Department of Education LGrant@cde.ca.gov 15