PCMI TLP: Repository of Wisdom of Practice: Robert Calungsod, Aziz Jumash, Peter Petto

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Modeling²: Examples and Practice Robert Calungsod, Aziz Jumash, Peter Petto

Mathematical modeling is a process that uses math to represent, analyze, make predictions or otherwise provide insight into real-world phenomena. (GAIMME, p.8) Participants are expected to understand, experience the practice of, and acquire resource materials related to mathematics modeling. This workshop will provide examples and best practices of the modeling process as described in the GAIMME & NCTM frameworks.

What we do:

The practice of mathematical modeling will be discussed and demonstrated using examples that utilize skills drawn from geometry, trigonometry, probability, and computer science and are appropriate for middle and high-school students. Participants will see the elements of good modeling problems, and several resource collections. Participants will listen, interact, actively participate in all of the activities.

How we do it:

Participants will:: Learn about mathematical modeling standards; Receive examples, rubrics, and assessment tools; Participate in conducting a simple probability modeling simulation; Learn about automating probability modeling simulations; Receive a selection of scaffolded geometric modeling exercises

Research:

Bliss K, et al, Guidelines for Assessment and Instruction in Mathematical Modeling Education (GAIMME)

NCTM (2014) Principles to Actions, http://www.nctm.org/principlestoactions/

Integrating Mathematical Modeling, Experiential learning and Research through a Sustainable Infrastructure (IMMERSION) and an Online Network for teachers in the elementary grades. 2014 – 2017 A National Science Foundation Sponsored STEM-C Program (NSF-1441024) through George Mason University, Montana State University, and Harvey Mudd College

Levy, Rachel, Five Reasons to Teach Mathematical Modeling http://www.americanscientist.org/blog/pub/5-reasons-to-teach-mathematicalmodeling

National Council of Teachers of Mathematics (NCTM). (2014) Principles to Actions: Ensuring Mathematical Success for All. Reston, Va.: NCTM

B. Galluzzo, T. Wendt, "The 24-Hour Mathematical Modeling Challenge", PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 50, (1), 2015.

Files developed during PCMI 2018:

download zipped folder grey.zip [generic login required]

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View TLP PCMI | IAS YouTube channel for an overview of the Teacher Leadership Program, ideas for your classroom, resources for you and your colleagues, and short clips of important things to think about as teachers.