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Discrete Mathematics with Ducks, by sarah-marie belcastro
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Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. This classroom-tested text uses discrete mathematics as the context for introducing proofwriting.
Facilitating effective and active learning, each chapter contains a mixture of discovery activities, expository text, in-class exercises, and homework problems.
- Elementary exercises at the end of each expository section prompt students to review the material
- Try This! sections encourage students to construct fundamental components of the concepts, theorems, and proofs discussed.
- Sets of discovery problems and illustrative examples reinforce learning.
- Bonus sections can be used for take-home exams, projects, or further study
- Instructor Notes sections offer suggestions on how to use the material in each chapter
Discrete Mathematics with Ducks offers students a diverse introduction to the field and a solid foundation for further study in discrete mathematics and complies with SIGCSE guidelines. The book shows how combinatorics and graph theory are used in both computer science and mathematics.
- Sales Rank: #754787 in eBooks
- Published on: 2012-06-21
- Released on: 2012-06-21
- Format: Kindle eBook
Review
This book can certainly be used to teach the standard course in discrete mathematics designed for computer science majors. The lighter touch of duck references does amuse you and does not ever overshadow or disguise the mathematical concepts.
―Charles Ashbacher, MAA Reviews, August 2012
When I used Discrete Mathematics with Ducks in class, I assigned readings, and my students came to class full of questions and ideas. Every day we had a good time in one way or another; these classes were a highlight of my teaching career. I give a lot of credit to this book, thanks to the author's skill at blending rigor, great examples, casual humor, and precise writing.
―David Perkins, author of Calculus and Its Origins
I had a lot of fun teaching from Discrete Mathematics with Ducks! ... I think the discovery/exploratory/problem solving approach is ABSOLUTELY the way this course should be taught, and of all the discrete books I have looked at, this text does the best job of supporting that kind of approach to the subject while still giving enough of the material in writing to fill in the gaps. ... I found that the material provided and the instructor notes cut down on my prep time, and I definitely referred to them. Having the in-class activities included is a huge benefit to this book.
―Dana Rowland, Associate Professor of Mathematics, Merrimack College
... an incredible book ...�readable by students, useful for instructors, and constructed with style and flair. This book will make it much easier to teach an exciting, student-centered discrete mathematics course that will also serve as an excellent introduction to advanced critical thinking, problem solving, and proofs. And there are ducks!
―Douglas Shaw, Professor of Mathematics, University of Northern Iowa
Most helpful customer reviews
0 of 0 people found the following review helpful.
Terrible book, avoid at all costs
By Manny
I don't understand why you would have problem sets without solutions - why?
19 of 20 people found the following review helpful.
Maybe I don't like ducks
By WildHog
This book should not be purchased as a textbook. It quacks more like a lab or exercise manual. Much better choices exist as a textbook such as Discrete Mathematics with Applications. I cannot imagine saving this book for future reference, unless it was for practice problems. The style is very informal and verbose which makes learning for the first time tedious and future review a slog. There are few illustrations, etc. for a visual learner. If you are using this book for computer science, I would again advise another book. While the author states in her introduction she wants to give a "taste of many flavors of discrete mathematics"....by avoiding Big-O notation, treatment of algorithmic efficiency, and finite state automata, she avoids being "computer science focused". Attention professors, while I understand an attempt at balance, this book is inappropriate if the primary consumers (students) are computer science majors.
Perhaps, I am too critical. Maybe I don't like ducks.
18 of 22 people found the following review helpful.
If this is your textbook drop the class
By Good Morning America
This is the worst textbook I have ever had. I had a friend taking discrete math with another instructor using Susanna S. Epp's book and boy was I jealous. All the clear, outlined explanations in Epp's book made me so happy to get some clarity on what Belcastro was trying in vain to explain. Epp's book was organized and followed path building on stuff from previous chapters. It had short self checks in the chapters (DM with Ducks does too, but that's it), and answers to the odd problems in the back. Explanations where given in spaced out, easy to digest chunks. DM with Ducks all examples are crammed together in paragraphs. Epp's proofs look like this
blah blah
2 x^2 = 4 blah
3 blah blah 2
blah blah 2
blah blah
QED
DM for ducks writes them like this
blah blah x^2 = 4 QUACK blah blah blah 2 (giggle, giggle) QUACK blah blah 2 blah blah QED
You can imagine how frustrating this is when the proofs are complicated and long.
You'll find yourself, and I can think of no better term than this, excavating the examples to dig out the logic buried therein. Also the terminology is introduced in the same manner, new symbols and terms are just imbedded in seas of text, so if you need to quickly go back and refer to something, or refresh your knowledge, you can't. This is just a terrible and scatterbrained text.
DM with Ducks?! How bout less Ducks and more organization and examples? No solutions to the odd problems in the back? C'mon, ESPECIALLY with a class like this, you need to know if you're doing the problems correctly. I can understand the "I don't like just giving answers" and "you gotta work for it" mentalities, I do, I think they're wrong or at least often misguided to draconian ends, but a student needs the tools to do so, this book doesn't clearly provide them. Note that in my headline I said, "...drop the class!" I wasn't kidding. If your professor is subjecting you to this way too wordy, self loving tome of a text book, then they obviously have no clue how to teach. You'll be in a GPA killing world of hurt; best case scenario you get less than a C so you can try again with a professor who knows how to teach. Seriously buckle up for confusing scatter-shot and meandering lectures that lead to tests that will make you think "WTF is this?!" when you take them.
Don't get me wrong, there huge difference between being knowledgeable (this author is definitely that) and being able to impart that knowledge to others. I feel sorry for any student taking a class with this author. I bet she's nice, but I'm sorry, this book is long winded, confusing, and just plain unhelpful. I managed to get through my class, but only with youtube, borrowing my friend's text book and going to office hour after unhelpful office hour. I was one of the lucky ones, I saw too many hard working students, with the calc series and linear algebra under their belts struggle with this god awful text.
I think my biggest complaint (other than the lack of odd numbered solutions which is just dumbfounding), is that the book is laid out like a novel. There are no delimiters between wordy self giggling explanations and examples, just seas of text with an occasional confusing picture thrown in. And for the love of God why doesn't the author put any key concepts, or even just key terms in bold? It's ridiculous, lazy and feels like the author didn't give two shitake's about writing something for a human being to actually be able to learn from. It all just sort of runs together. If you are a visual learner, forget about it, this book will frustrate you to no end. I'd suggest finding a friend in the class, and buying 2 books, this one for the HW problems, and another book by a different author to explain the concepts. It will be much, much quicker.
One more thing, to the author. I feel bad for bashing your book, I can tell you tried hard to do something different, but you have to understand that math is already fun, trying to "make it fun" won't win converts and will only alienate those trying to just make it through. The Ducks and cutsie stuff is fine, but you got to get the basics of laying out a discrete math text down first. Seriously this book feels like one of those old stogy calculus books written in the 50's.
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