CI 512 Examining Operations with Whole Numbers & Fractions

Course Description

Examine the actions and situations modeled by the four basic operations. Begin with a view of how counting moves toward solving whole number problems and then how whole number operations extend to the context of fractions. Student thinking is at the center of this course through examination of student work.

Required Text

Schifter, D., Bastable, V., & Russell S. J. (2016).  Making meaning for operations in the domains of whole numbers and fractions casebook: Number and operations part 2. National Council of Teachers of Mathematics.

Course Schedule

Course Location

Online Synchronous -OR- Hillsboro School District Admin Center, 3083 Northeast 49th Place, Hillsboro, OR 97124 

Print and Online Resources

Cavanagh, M., Dacey, L., Findell, C. R., Greenes, C. E., Sheffield, L. J., & Small, M. (2004).  Navigating through number and operation in prekindergarten-2 (with CD-ROM). National Council of Teachers of Mathematics. 

Common Core Standards Writing Team. (2022). Progressions for the Common Core State Standards for Mathematics. Institute for Mathematics and Education, University of Arizona. https://mathematicalmusings.org/wp-content/uploads/2023/02/Progressions.pdf.

Duncan, N. N., Geer, C., Huinker, D., Leutzinger, L., Rathmell, E., & Thompson, C. (2007).  Navigating through number and operations in grades 3-5 (with CD-ROM). National Council of Teachers of Mathematics. 

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Author. http://standards.nctm.org

National Council of Teachers of Mathematics. (2006). Curriculum focal points for prekindergarten through grade 8 mathematics. Author. 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. Author. http://www.corestandards.org/Math

Rachlin, S., Cramer, C., Finseth, C., Foreman, L. C., Geary, D., Leavitt, S., & Smith, M. S. (2006). Navigating through number and operations in grades 6-8 (with CD-ROM). National Council of Teachers of Mathematics. 

Understanding Language. (2013a). Key principles for ELL instructionhttp://ell.stanford.edu/

Understanding Language. (2013b). Guidelines for mathematics instructional materials development. http://ell.stanford.edu/