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Original by Erlina Ronda

]]>The kind of task we ask our learners to engage in algebra communicates particular notions of algebra and with it particular use of variable. There are at least four conceptions of algebra embedded in the curriculum. These are reflected in the tasks in textbooks and in our lessons. Zalman Usiskin proposed the following conceptions of algebra […]

Original by Erlina Ronda

]]>A variable is often talked about in mathematics class as a symbol that stands for numbers. As Prof Zalman Usiskin reminds us, a variable need not only stand for numbers. In Geometry it could stand for a point in Logic, a proposition, in Analysis, a function, in Linear Algebra, a matrix or a vector and […]

Original by Erlina Ronda

]]>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 […]

Original by Erlina Ronda

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