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Common Core Mathematics. Scope and Sequence State-wide Conference Christina Foran and Rebecca Candino , TSD. Introductions. Christina Foran [email protected] Website: metateacher.net Rebecca Candino [email protected] Blog: rcandino.edublogs.org - PowerPoint PPT Presentation

### Transcript of Common Core Mathematics

Common Core Mathematics

Common Core MathematicsScope and Sequence

State-wide Conference

Christina Foran and Rebecca Candino, TSDIntroductionsChristina [email protected]: metateacher.netRebecca [email protected]: rcandino.edublogs.orgCore Math Wiki: metateacher.net/coremathAgendaOverview of the Content StandardsUsing the Common Core Navigator to develop standards-based IEP and differentiated learning laddersOverview of the Mathematical PracticesSelecting and modifying tasks for Constructed Response Assessment practice

MasteryConnect.com

InsideMathematics.org

map.mathshell.org

IllustrativeMathematics.orgCCSS for Mathematical PracticeBased on NCTM Process Standards and the National Research Council Adding it Up: Helping Children Learn Mathematics

Equal emphasis on conceptual understanding , procedural fluency, and application

Seeing mathematics as sensible, useful, and worthwhile while believing in ones own skill and abilities

The 8 habits of highly successful problem solversCommon Core State Standards, NGA Center/CCSS), 2010

CCSS for Mathematical Practices1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

Common Core State Standards for Mathematics, 2010, NGA Center/CCSSOSelecting and Modifying High Level Math TasksTasks form the basis for students opportunities to learn what mathematics is and how one does it [Tasks] are central to students learning, shaping not only their opportunity to learn, but their view of the subject matter.

Adding it Up, National Research Council, 2001, p. 335The Importance of High Level Instructional Tasks: The Hook

How Are Math Tasks Categorized?all tasks are not created equaldifferent tasksrequire different levels and kinds of student thinking.

Stein M. K., Smith, M. S., Henningsen, M. A., & Silver, E. A. (2000). Implementing standards-based mathematicsinstruction: A casebook for professional development, p. 3. New York: Teachers College Press

Procedures without ConnectionsProcedures with Connections

Doing MathematicsExamples of Different Levels of TasksMemorization

Procedures With ConnectionsProcedures Without Connections

Doing Mathematics

Instructional Task ModificationStudents create real-world stories for naked number problems.

Include a prompt that asks students to represent the information another way and to write about any noticings or wonderings about a math concept.

Eliminate too much scaffolding.

Include a prompt that asks students to notice a pattern or make a conjecture and test that conjecture.

Select numbers carefully to prevent use of rote memorization in responses.

Begin instruction of a new concept with a high level task before students have memorized rules and/or procedures.

Learning Research and Development Center, University of Pittsburgh, 2012Differentiating the Instructional TaskUse the Common Core Navigator to drill downGrade Level Standard: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression (A-SSE.3). HSA-SSE.B.3 HSA-SSE.B.3 A-SSE.3

Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities by using drawings and equations (3.OA.3).

Growth Occurs in the StruggleAllow students to grapple with high level tasks

The role of the teacher is to facilitate thinking and discussion

Be prepared to pull out of the task to teach prerequisite skills, then dive back in.

Practice, practice, practice

Intertwined Strands of ProficiencyConceptual UnderstandingProcedural FluencyCommon Core Content StandardsCommon Core Mathematical Practices

Adding It Up, National Research Council, 2001

Thank You!!