Mathematics Teaching in the Middle School · 2010 · 39 citations · 0 references
EducationMathematicsMathematics EducationCalculus EducationGeometryMathematics InstructionMathematical KnowledgeMathematical ModelingMathematical PracticeMathematical ReasoningMathematics PedagogyHabits Of MindMathematical CognitionMathematical Problem SolvingMathematical Problem Solving InstructionMathematical ThinkingMathematics ReasoningStudent Thinking In Mathematics
Mathematical habits of mind include reasoning by continuity, looking at extreme cases, performing thought experiments, and using abstraction that mathematicians use in their work (Cuoco, Goldenberg, and Mark 1996; Goldenberg 1996). Current recommendations emphasize the critical nature of developing these habits of mind: “Once this kind of thinking is established, students can apply it in the context of geometry, trigonometry, calculus, data and statistics, or other advanced courses” (Achieve 2008, p. 4).