NCTM Mathematics Standards Framework (with disposition) - 1

Problem Solving

  1. build new mathematical knowledge through problem solving;
  2. solve problems that arise in mathematics and in other contexts;
  3. apply and adapt a variety of appropriate strategies to solve problems;
  4. monitor and reflect on the process of mathematical problem solving.
 
Reasoning and Proof
  1. recognize reasoning and proof as fundamental aspects of mathematics;
  2. make and investigate mathematical conjectures;
  3. develop and evaluate mathematical arguments and proofs;
  4. select and use various types of reasoning and methods of proof.
 

Communication

  1. organize and consolidate their mathematical thinking through communication;
  2. communicate their mathematical thinking coherently and clearly to peers, teachers, and others;
  3. analyze and evaluate the mathematical thinking and strategies of others;
  4. use the language of mathematics to express mathematical ideas precisely.
 

Connections

  1. recognize and use connections among mathematical ideas;
  2. understand how mathematical ideas interconnect and build on one another to produce a coherent whole;
  3. recognize and apply mathematics in contexts outside of mathematics.
 

Representations

  1. create and use representations to organize, record, and communicate mathematical ideas;
  2. select, apply, and translate among mathematical representations to solve problems;
  3. use representations to model and interpret physical, social, and mathematical phenomena.
 
Number and Operations  
Algebra  
Geometry  
Measurement  

Data Analysis and Probability

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Disposition  

Dr. Robert Sweetland's Notes ©