Mathematics is:

  • the science of patterns, order, and relationships
  • a universal language
  • a powerful tool for thinking about, interpreting, analyzing, and making sense of the world
  • a human endeavor that is both utilitarian and beautiful
  • a discipline in which authority derives solely from one’s ability to prove one’s answer

Mathematical learning:

  • requires active and ongoing participation by the learner in building understanding and making connections
  • is built on conceptual understanding and reasoning, not just rote memorization, because mathematics is a complex web of interconnected ideas, not a collection of discrete procedures and facts
  • requires communication, collaboration, and reflection

Mathematical understanding:

  • is achieved when a student can both successfully apply concepts in novel contexts and communicate the methods and reasoning used to arrive at the solutions
  • enables one to participate fully as a citizen and consumer by developing the analytical skills to appraise information and ideas critically

Elementary Mathematics Curriculum for Teachers (must be logged in to view)