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Pre-Calculus Textbook Recommendations | 4 comments (4 topical, 0 hidden)
[new] Faires and DeFranza (none / 0) (#1)
by Anonymous Hero on Wed Oct 20, 2004 at 09:39:43 AM PDT

Faires and DeFranza's precalculus is a slim and trimmed down precalculus book with a definate calculus bent. The shortness also makes it easier to cover in a semester.



[new] some possible precalculus texts (none / 0) (#2)
by Tyrone Slothrop on Fri Oct 29, 2004 at 08:24:16 AM PDT

I am currently using Warren Esty's Precalculus (self-published). I like the attention to multiple representations of the concepts and the clever use of graphing calculators to enhance algebraic and reasoning skills. (Calculators can often make things more complicated rather than simpler.) But some of the writing is less than precise, especially in the definitions and theorems. He covers functions and inverses in full before starting with lines and quadratics, which I like, but others may find annoying. One of my colleagues has been quite happy with Connally, Hughes-Hallett, et al, Precalculus: Functions Modeling Change. I can't speak in its favor firsthand, though. I found two other books that take a modeling approach - again I have not used these so I cannot endorse them firsthand: * Precalculus: Modeling Our World - a COMAP book, and * Zumoff and Schaufle, Earth Angles: Precalculus Mathematics with Applications to Environmental Issues, A question you have to ask yourself if you adopt a modeling approach is whether you can still cover all the necessary skills to "train" for calculus. The answer depends upon the individual instructor's philosopy of teaching and the role that precalculus plays in her/his institution. (For example, in my institution precalculus doubles as a specific training course for calculus and as a way to remove a deficiency in admissions requirements.)
-TS


[new] Advice from the RUME community (none / 0) (#3)
by dkung on Tue Nov 30, 2004 at 07:41:04 PM PDT

I asked the RUME (Research on Undergrad. Math Education) email list to send suggestions of books that incorporated some of the research on how students learn pre-calc. Here's a compilation of responses:

I would recommend David Dwyer and Mark Gruenwald's "Precalculus" from Brooks/Cole. I taught using their previous book "College Algebra and Trigonometry", and the new book is a subset better suited to a one semester course. I picked their text because it is very strong at modeling the effective use of calculators and has realistic applications.

Please take a look at Demana, Waits, Foley, and Kennedy. The authors have tried to do what you look for within the constraints of trying to include the curricular pieces state education agencies seek.

I have a vague memory of a text by Ethan Bolker called "Using Algebra" being pretty nice, but I don't remember it well enough to say whether it would be appropriate as a stand-alone text for precalculus or if it would only be a good source of problems.

I like: Functions Modeling Change: A Preparation for Calculus, 2nd Edition (by Connally, Deborah Hughes-Hallett, et. al.) I haven't taught a course from this book, but I have used parts of it in various courses and as a reference. There are no explicit references to research findings, but there is definite sensitivity to the things that are typically difficult for students. Also, the focus on families of functions seems to me to be the best kind of preparation for calculus-- rather than seeing pre-calc is an opportunity to acquire a bag of random advanced algebra tricks.

The book mentioned above (Connally, Hughes-Hallett, et. al.) is the pre-calc book from the Harvard Calculus Reform Project series. We have used the series for quite a few years now at our University. We like it and we are staying with it. The one thing that I would prefer, and I do make this change when I am teaching the course, would be to introduce the trig functions through right triangles (the old traditional way), rather than through the ferris wheel. But it is a minor matter, check it out, it is a good book.





[new] Precalculus Book Recommendation (none / 0) (#4)
by caudillo on Sat Mar 18, 2006 at 04:32:34 PM PDT

Faires and Defranza is perhaps the only American textbook that I have seen with a coherent narrative, much like Spivak's "Calculus". I also recommend the Precalculus Notes from here: http://faculty.ccp.edu/faculty/dsantos/lecture_notes.html
caudillo


Pre-Calculus Textbook Recommendations | 4 comments (4 topical, 0 hidden)

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