Developing Mathematical Modeling: Number & Operations
A Nevada Mathematics & Science Partnership Grant for K-3 teachers




Dr. Shih, 2015 K-3 Intuitive Thinking Grant
"Why aren't we listening to student strategies? Why do they have to listen only to ours?”
The Nevada Academic Content Standards (NVACS) require teachers to have a depth of mathematical understanding which includes both mathematical content and content that is incorporated into the Eight Standards for Mathematical Practice. These Standards connect with five of the eight Science and Engineering Practices. It is the inter-weaving of these Standards that provide mathematical depth and understanding for both the professional practitioner (teacher) and depth and connectedness for the student. The outcomes include an increase in student achievement through a deepened connected understanding of the content through the practices. Developing Mathematical Modeling: Numbers and Operations proposes to build understanding of these Standards in the Operations and Algebraic Thinking Domain for grades K-3, connecting ideas in this domain to those developed within Number and Operations - Base Ten (K-3) and Counting and Cardinality (K) interwoven with the key ideas in both the Standards for Mathematical Practices and connected to similar ideas in the Science and Engineering Practices.
Developing Mathematical Modeling: Numbers and Operations will highlight the connectedness of the standards while focusing teachers’ understanding of how to incorporate reflection based on student action, including understanding, partial understanding, and misunderstanding. This will move instruction from teacher-directed or student-centered model to a learner responsive model in which each student is the focus of the instructional approach and instructional response based on the ongoing formative process model. A focus of the learning will be engaging teachers in a deeper understanding of the problem situations for addition and subtraction, as well as multiplication and division as outlined by the NVACS Tables 1 and 2 found on pages 88 and 89 of the NVACS glossary. Teachers will engage with the content and then analyze their understanding and student understanding through the lens of the content and the practices.
Understanding student cognition and reasoning is the foundational core of this learning opportunity. Teachers will engage in both analyzing student approaches and deepening instructional practices through aligned instructional strategies.
This deep reflection and analysis of practice will enable an increase in ability to become learner responsive and adjust instruction in a fluid manner to better support student reasoning.




Content
STRATEGY
“However beautiful the strategy,
you should occasionally
look at the results.”
Winston Churchill
