Mathematical Habits of Mind: Communicating

Level Communicating
Primary
  • Relate physical materials, pictures, drawing to mathematical ideas.
  • Reflect on mathematical situations.
  • Relate everyday language to mathematical language and symbols.
  • Represent, discuss, read, write, and listen to mathematics.
  • Elementary
  • Relate physcial materials, pictures, diagrams to mathematical ideas.
  • Reflect on and clarify their thinking about mathematical ideas and situations.
  • Relate everyday language to mathematical language and symbols.
  • Recognize that representing, discussing, reading, writing, and listening to mathematics are vital parts of learning and using mathematics.
  • Middle Grades
  • Model situations using oral, written, concrete, pictorial, graphical, and algebraic methods.
  • Reflect on and clarify mathematical ideas and situations.
  • Develop common understandings of mathematical ideas, including the role of definitions.
  • Use the skills of reading, listening, and viewing to interpret and evaluate mathematical ideas.
  • Discuss mathematical ideas and make conjectures and convincing arguments.
  • Appricate the value of mathematical notation and its role in the development of mathematical ideas.
  • Secondary
  • Reflect upon and clarify mathematical ideas and relationships.
  • Formulate mathematical definitions and express generalizations discovered through investigations.
  • Express mathematical ideas by written and spoken word.
  • Read written presentations of mathematics with understanding.
  • Ask clarifying and extending questions related to mathematical concepts.
  • Appreciate the economy, power, and elegance of mathematical notation and its role in the the development of mathematical ideas.