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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How to select and sequence examples in math lessons

In my previous post about examples, I described different uses of examples in teaching mathematics. In this post I’ll give a series of examples for us to be conscious about sequencing examples in our lesson. What are the things do you consider when you think of an example in a math lesson? And how do you sequence…

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Six ways to give feedback to students to keep them in the task of learning

There are two types of assessment based on its goals or use. One is what I call assessment in the service of teaching. The second is what I call assessment in the service of learning. Assessment in the service of teaching refers to the use of assessment information to improve teaching while assessment in the…

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How to orchestrate a mathematically productive class discussion

Show and tell activity (aka lecture method) may work for some but never in a mathematics class. Getting students to explain and ask questions are nice but only when the explanation and the questions are mathematical. Reasoning and justifying are good habits of mind but they are only productive if they are based on mathematical…

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