How Six Principles of Mathematics are Applied

*Teachers should help students understand that math is a coherent set of ideas

*Teachers must help students understand mathematical concepts and use them powerfully

*There are five interconnected processes that build mathematical understanding:

         1.  Making Connections

           2.  Using Reasoning & Developing Proofs

           3.  Problem Solving

           4.  Creating Representations

           5.  Communicating Ideas

*Teachers should help students understand and use number concepts, operations, and computation procedures.  i.e. Counting, Number Relationship, Place Value, Meaning of Operation, and Fact Strategy

*Teachers must provide opportunities for all students in grades K-12 to reason algebraically.  i.e. Tables, Graphs, and Equations

*Teaches should teach geometry and measurements through real-world applications

*Concepts from statistics, data, and probability heavily relies on real-world experiences

*Assessment of student learning should help teachers make decisions regarding teaching practices and learning activities