Tips for Teaching Proofs and Proving

I propose here ideas teachers need to know and pay attention to when teaching mathematical proofs and how to prove. A. What is a (mathematical) proof? I define proof as a relational network of claims (propositions and conclusions), substantiation (established knowledge that makes the claim legitimate) and appropriate connectives so sequenced to justify why the conclusion is a…

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Variables, Constants and Parameters

Whether a mathematical notation is a variable,  parameter, or constant depends on what you mean by it. If you intend to represent the value of a quantity whose measure varies within a situation, then you are using that notation as a variable. If you intend to represent the value of a quantity whose measure is the…

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Teaching the derivative function

Most Grade 10 syllabus do not yet include the concept and calculation of derivative. At this level, the study of function which started in Year 7 and Year 8 on linear function is simply extended to investigating other function classes such as polynomial function to which linear and quadratics belong, the exponential function and its…

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