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Enhancing Algebraic Thinking: Generalizations about Operations
Course Description
Course Description
Examine generalizations at the heart of studying operations in the elementary grades. Express generalizations in common language and algebraically, develop representation-based arguments, study what it means to prove, and extend generalizations from whole numbers to integers. Student thinking is at the center of this course through examination of student work.
Driscoll (1999) defines algebraic thinking as having the capacity to portray quantitative conditions in a manner that allows the relationships among variables to become apparent. Throughout this course we will examine representation-based proof as a means for portraying such relationships.
Required Text
Required Text
Schifter, D., Bastable, V., & Russell S. J. (2017). Reasoning algebraically about operations in the domain of whole numbers and integers: Numbers and operations part 3. National Council of Teachers of Mathematics.
Course Schedule
Course Schedule
Meeting Dates: Mondays, March 31 - June 9, 2025
Meeting Time: 4:30-7:30 pm
Course Location
Course Location
Synchronous Online
Online and Print Resources
Online and Print Resources
Common Core Standards Writing Team. (2022). Progressions for the Common Core State Standards for Mathematics. Institute for Mathematics and Education. https://mathematicalmusings.org/wp-content/uploads/2023/02/Progressions.pdf
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. http://standards.nctm.org
National Council of Teachers of Mathematics. (2006). Curriculum focal points for prekindergarten through grade 8 mathematics. http://standards.nctm.org
National Governors Association Center for Best Practices and Council of Chief State School Officers (2010). Common core state standards for mathematics. http://www.corestandards.org/Math
Understanding Language. (2013a). Key principles for ELL instruction. http://ell.stanford.edu/
Understanding Language. (2013b). Guidelines for mathematics instructional materials development. http://ell.stanford.edu/
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