Math from Dr. Del

A forum to help my students learn mathematics. An extension of the normal classroom. An experiment in the use of Blogs to teach mathematics. Used in conjuction with www.drdelmath.com

Name: Dr. Del

I have been teaching University and College mathematics for more than 30 years. I have published math textbooks, research papers, as well as pedagogical papers. I have owned my own software development company, been Vice President of an engineering firm, consulted for the cathodic protection industry throught the US, in Europe, and in the Middle East. Blogs are posted with the most recent at the top, so it is best to read from the bottom up.

Tuesday, January 10, 2006

Reading Mathematics Tip 2

Reading Mathematics

Tip 2 from Dr. Del
Read, think about, and remember each chapter title as you come to it.  At the same time read and think about each of the section titles for that chapter.

For example, when you get ready to start studying Chapter 1, look carefully at Page 77 where you find the chapter title; Equations and Inequalities.  That tells you that the next 94 pages of this textbook are devoted to topics which are related in some way or another, probably very directly, to the study of two mathematical creatures; Equations and Inequalities.

Well, if those two creatures are important enough to warrant 94 pages of instruction, they are probably pretty important.  It would seem natural to decide that one of the first things you want to discover is a PRECISE definition for each of these words.  That gives you at least two learning objectives when you turn to Page 78.

Now look at the eight section titles.  It looks like the concept of inequality will not be taken up until the last two sections.  It is not at all clear what Section 5 has to do with equations.  You should just decide to let the authors tell when you get to Section 5, where you certainly expect to learn the PRECISE definition of Complex Number.

The other section titles make it pretty clear that you will want to learn the PRECISE definitions of variable, graph, linear, and quadratic.

You have now several learning objectives for your study of this chapter.
     1. Learn the definition of equation.
     2. Learn the definition of inequality.
     3. Learn the definition of variable.
     4. Learn the definition of graph.
     5. Learn the definition of linear.
     6. Learn the definition of quadratic.
     7. Learn the definition of complex number.

Make sure that you complete each of these learning objectives as you study the chapter.

Trust your authors and your teacher to reveal other learning objectives as you progress through each of the sections.