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Workshop Details

 

This two-week (8 day) workshop, located in beautiful Flagstaff, Arizona, focuses on developing a deep conceptual understanding of function and how it relates to the 7-12th grade curriculum. Workshop concepts will include (but are not limited to):

  • Function Concept (included examination of function definitions and representations; a useful model for understanding single-valuedness of functions; and an investigation of non-traditional functions)

  • Covariation and Rate of Change (included examination of covariation, correspondence, rate of change, proportionality of linear and non-linear functions and relational patterns; and modeling of real-world situations via functions)

  • Linear and Non-Linear Functions (included application of constant rates and rates of proportionality to real world situations; examination of non-constant rates of change through modeling and real-world applications)

  • Linear and Non-Linear Functions (included building polynomial functions, examining first and second order differences, modeling, developing non-linear function sense, limits, piece-wise defined functions, and rational functions)

  • Transforming and Composing Functions (included developing conceptual understanding of inverse and composite functions, invertibility, and combining and composing functions)

 

Participants earn a $250 stipend and 64 hours of professional development seat hours for successfully completing the workshop!

 

Project Goals/Objectives

  • Explore rigorous content connected to state standards in the areas of functions, rate of change, and mathematical modeling.

  • Use problem solving, quantitative reasoning, multiple representations, and technology to investigate function concepts.

  • Experience and investigate the use of the Standards of Mathematical Practice and Mathematics Teaching Practices for mathematics teaching and learning.

  • Be part of an intensive learning experience that emphasizes challenging mathematical and pedagogical tasks in a collaborative learning environment.

  • Develop valuable collegiate relationships and networks with other Noyce mathematics teachers throughout the Western Region.

Facilitators

                               Shannon Guerrero is a professor of Mathematics Education at Northern Arizona University and                                 teaches undergraduate and graduate mathematics content and pedagogy courses as part of the                                 BSEd Mathematics and MS Mathematics Education programs.  Her research interests include                                     K-12 pre-service / in-service professional development, the effective use of technology in                                             support of standards-based mathematics teaching and learning, and the process of teacher                                         change. Shannon currently serves as the PI for the NAU Noyce Scholars project and as a co-                                      director of the NAUTeach program for secondary mathematics and science education majors.

 

                              Amy Rushall is director of Faculty Professional Development and principal lecturer in the                                            Department of Mathematics and Statistics at Northern Arizona University.  Her teaching focus is                                on undergraduate students in their first year and preservice elementary and secondary                                                mathematics teachers.  Amy has been designing and implementing professional development                                      programs for in-service K-12 teachers for the past twenty years.  She currently serves as                                              president of the Arizona Association of Teachers of Mathematics and is a member of the board                                  of directors of the Arizona Mathematics Leaders and the STEM AZ Education Collaborative.

 

 

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Functions & Modeling in Secondary Mathematics

 

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