Tag Archives: function

Reasoning abilities and conceptual knowledge needed for learning calculus

This post describes foundational reasoning abilities and mathematical knowledge students need to develop before beginning a course in calculus. Covariational reasoning – this involves recognition of two quantities that are changing together. A student who considers how two quantities in a dynamic situation change together is said to be engaging in covariational reasoning. This is… Read More »

How to Teach the Equation of Linear Function

In my earlier post on Linear Function, I described how a linear function can be recognized based on equation, graphs, and tables. In this article, let us talk about how to derive the equation of linear function (as they are called in calculus) or the equation of a line (as they called in analytic geometry).… Read More »

What is a Linear Function?

What is a linear function? In mathematics, a linear function is used to name two different but related notions. In calculus and analytic geometry, a linear function is a polynomial with a highest degree of one. In linear algebra, the linear function is the linear map. This article is about the linear function in calculus… Read More »

Making Sense of Power Function

The power function, , n = positive integral exponents is actually the ‘basic’ polynomial function.They are the first terms in the polynomial function. With graphing utility, it is no longer as much fun to graph function. What has become more challenging is interpreting them. Here’s are a set of tasks you can ask your learners… Read More »

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