Algebraic Reasoning Institute Math & Science Collaborative at the Allegheny Intermediate Unit

Overview of the Institute Math & Science Collaborative at the Allegheny Intermediate Unit

Overview of the Institute Math & Science Collaborative at the Allegheny Intermediate Unit

Overview Insert conceptual flow and goals overview. Math & Science Collaborative at the Allegheny Intermediate Unit

Common Core State Standards Design Math & Science Collaborative at the Allegheny Intermediate Unit Building on the strength of current state standards, the CCSS are designed to be: Focused, coherent, clear and rigorous Internationally benchmarked Anchored in college and career readiness* Evidence and research based

Common Core Standards for Mathematics Math & Science Collaborative at the Allegheny Intermediate Unit

Standards for Mathematical Practice Math & Science Collaborative at the Allegheny Intermediate Unit

CCSS Mathematical Practices Math & Science Collaborative at the Allegheny Intermediate Unit

Underlying Frameworks 5 Process Standards Problem Solving Reasoning and Proof Communication Connections Representations Math & Science Collaborative at the Allegheny Intermediate Unit

Underlying Frameworks Math & Science Collaborative at the Allegheny Intermediate Unit

Underlying Frameworks Math & Science Collaborative at the Allegheny Intermediate Unit

Strands of Mathematical Proficiency Conceptual Understanding – comprehension of mathematical concepts, operations, and relations Procedural Fluency – skill in carrying out procedures flexibly, accurately, efficiently and appropriately Strategic Competence – ability to formulate, represent,, and solve mathematical problems Adaptive Reasoning – capacity for logical thought, reflection, explanation, and justification Productive Disposition – habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one’s own efficacy Math & Science Collaborative at the Allegheny Intermediate Unit

The Standards for Mathematical Practice Math & Science Collaborative at the Allegheny Intermediate Unit

The Standards for Mathematical Practice Math & Science Collaborative at the Allegheny Intermediate Unit

The Standards for Mathematical Practice Math & Science Collaborative at the Allegheny Intermediate Unit

CCSS Mathematical Practices Math & Science Collaborative at the Allegheny Intermediate Unit

The Standards for Mathematical Practice Math & Science Collaborative at the Allegheny Intermediate Unit

The Standards for Mathematical Practice Math & Science Collaborative at the Allegheny Intermediate Unit

The Standards for Mathematical Practice Math & Science Collaborative at the Allegheny Intermediate Unit

Mathematical Practice #3: Construct viable arguments and critique the reasoning of others Math & Science Collaborative at the Allegheny Intermediate Unit

Mathematical Practice #3: Construct viable arguments and critique the reasoning of others Math & Science Collaborative at the Allegheny Intermediate Unit

Mathematical Practice #3: Construct viable arguments and critique the reasoning of others Math & Science Collaborative at the Allegheny Intermediate Unit

Mathematical Practice #3: Construct viable arguments and critique the reasoning of others Math & Science Collaborative at the Allegheny Intermediate Unit

Standards for Mathematical Practice Math & Science Collaborative at the Allegheny Intermediate Unit

Implementation Issue Math & Science Collaborative at the Allegheny Intermediate Unit

React to the Following Statements in Writing When you hear the word algebra what kinds of mathematical ideas come to mind? What, if anything, does algebra have to do with the content you teach? What might it mean to engage with children on algebraic ideas? Math & Science Collaborative at the Allegheny Intermediate Unit

Mathematical Themes Are two different definitions of even numbers equivalent? What comprises an argument that a statement is always true when you cannot check every number? What are generalizations about adding and multiplying odd and even numbers and how can they be proved? Math & Science Collaborative at the Allegheny Intermediate Unit

Hue and Julio scenario Math & Science Collaborative at the Allegheny Intermediate Unit

Math Practices in The Classroom Math & Science Collaborative at the Allegheny Intermediate Unit

Acknowledgement This material is based on work supported by the SW PA MSP 2010 funds administered through the USDOE under Grant No. Project #: RA Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the authors and do not necessarily reflect the views of the granting agency. Math & Science Collaborative at the Allegheny Intermediate Unit