To me, defining thinking requires thinking. It requires curiosity and the ability to follow-up on that curiosity. Thinking is drawing relationships between ideas, seeking out answers to questions, and approaching problems from different perspectives. The culture of thinking in my area of STEM (science) is very question-and-answer based. It involves coming up with a hypothesis or prediction and then using both what you already know and what you can discover to formulate conclusions.
What constitutes the essential elements of mathematical and scientific thinking?
Practices, concepts, and ideas
How are external representations related to the elements of mathematical and scientific thinking?
External representations are related to the elements of mathematical and scientific thinking because students use their senses to interpret these external representations before they are scientifically comprehended. These comprehension must commence prior to scientific thinking taking place.
What defines the role for external representations in the knowing and learning of STEM?
External representations are used in many ways in the knowing and learning of STEM. In one video, the discovery of pasteurization is discussed. Science would not be the same if it was not based on eternal interpretations influencing action. The role of external representations are defined by the potential they have to lead to STEM thinking.
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