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Tmn 3704 revision guide

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Tmn 3704 revision guide CHAPTER EXPLORING WHAT IT MEANS TO DO MATHEMATICS Traditional views of mathematics Traditional teaching, still the predominant instructional pattern, typically ... begins with an explanation of what ever idea is on the current page of the text followed by showing children how to do the assigned exercises. Even with a hands on activity, the traditional teacher is guiding students, telling them exactly how to use the materials in the prescribed manner. The focus of the lesson is primarily on getting answers. Students rely on the teacher to determine if their answers are correct. Mathematics as a science of pattern and order Mathematics is the science of pattern and order. Science is a process of figuring things out or making sense of things. It begins with problem-based situations. Although you may never have thought of it in quite this way, mathematics is a science of things that have a pattern of regularity and logical order. Finding and exploring this regularity order and then making sense of it is what doing mathematics is all about. The world is full of pattern and order: in nature, in art, in buildings, in music. Pattern and order are found in commerce, science, medicine, manufacturing, and sociology. Mathematics discovers this order, makes sense of it, and uses it in a multitude of fascinating ways, improving our lives and expanding our knowledge. What does it mean to do mathematics? Doing mathematics = engaging in the science of pattern and order There is a time in a place for drill but drill should never come before understanding. [Show More]

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