Read Online Introduction to Algebra Richard Rusczyk 9781934124147 Books
Download As PDF : Introduction to Algebra Richard Rusczyk 9781934124147 Books
Richard Rusczyk
Read Online Introduction to Algebra Richard Rusczyk 9781934124147 Books
"Truthfully, am not sure I'm rating the individual book or the overall series and the AoPS online resources (see: http://www.artofproblemsolving.com ). From our viewpoint, AoPS supporting online videos and Alcumus problems beats out Khan Academy (yes, we used that for awhile but found it somewhat encumber some and well, boring.)
If one is a person that is math oriented, this is the series for you. After a LOT of research looking at the various math approaches (Saxon, Singapore Fred, Math-U-See, Video Text Math, the list goes on...) and reading the various reviews found through internet-land, this is the curriculum I chose for my 8th grader who innately "gets" math. He can first try to solve the problems, going straight to the "meat and potatoes". THEN, if he answers the questions incorrectly, he can re-read the book,
The material is presented straightforward, nice and clean - meaning there are no distracting graphics and side bar comments to clutter up what is being presented...some of the resource I reviewed were SO BUSY that is was hard to focus the eye and absorb the concepts.
The only thing I would have liked to incorporate was a glossary in the back of key terms. Would come in handy to quiz yourself. Hands down the best resource out there for upper middle school aged people and above."
Product details
|
Tags : Buy Introduction to Algebra on ✓ FREE SHIPPING on qualified orders,Richard Rusczyk,Introduction to Algebra,AoPS Incorporated,1934124141,Algebra - General,Nonfiction / Education,Mathematics,Mathematics / Algebra / General,Science/Mathematics
Introduction to Algebra Richard Rusczyk 9781934124147 Books Reviews :
Introduction to Algebra Richard Rusczyk 9781934124147 Books Reviews
- Truthfully, am not sure I'm rating the individual book or the overall series and the AoPS online resources (see http//www.artofproblemsolving.com ). From our viewpoint, AoPS supporting online videos and Alcumus problems beats out Khan Academy (yes, we used that for awhile but found it somewhat encumber some and well, boring.)
If one is a person that is math oriented, this is the series for you. After a LOT of research looking at the various math approaches (Saxon, Singapore Fred, Math-U-See, Video Text Math, the list goes on...) and reading the various reviews found through internet-land, this is the curriculum I chose for my 8th grader who innately "gets" math. He can first try to solve the problems, going straight to the "meat and potatoes". THEN, if he answers the questions incorrectly, he can re-read the book,
The material is presented straightforward, nice and clean - meaning there are no distracting graphics and side bar comments to clutter up what is being presented...some of the resource I reviewed were SO BUSY that is was hard to focus the eye and absorb the concepts.
The only thing I would have liked to incorporate was a glossary in the back of key terms. Would come in handy to quiz yourself. Hands down the best resource out there for upper middle school aged people and above. - Homeschooling my brainy 7th grader was a little intimidating, but this book is awesome for him! He is able to read the chapters and do the work. When he doesn't quite get the concepts, we are able to work together through the challenge. The solutions manual makes it easy for me to know how to help him when he needs it. But the chapters do a great job of explaining the concepts for him so he rarely does need my help. I love this program. And he is loving it too! Win-win!
- Our son needed some extra practice on his Algebra and this (along with Solutions book) really helped solidify his understanding of basic concepts. He was making careless mistakes, and this helped, along with increasing his speed at solving
- Good for kids who want to learn more
- We have a highly gifted math-y. He loves to study math... This book is great for a few reasons.
1. It works in a linear style, as opposed to the cyclical style of most popular math programs, (especially Modern Curriculum Press, and Saxon Math, among others. (We looked into a TON of math programs.) The advantage to this style is that you really get a firm grasp on the WHY of math, including proofs, and details on number theory.
2. It uses discrete mathematics, to give a truly strong foundation in the understanding of math, not just the memorization of formulas.
3. It is detailed, and rigorous. If the problem you are working isn't rigorous enough just move on to the next one, by the end of the list of problems you will be working some seriously challenging problems, all on the same topic of study.\
4. There are online, live classes, if you want further instruction. There are online problems and a forum if you want to work in that direction. [...]
5. For gifted kids who are easily bored this book is great. It suggests right up front, that if you can work the first set of problems in the chapter (they are in a grey box), then you don't need to read or practice the exercises in that chapter, so you can just move on. Boredom debunked.
I spent 5 years looking for a better math program for my son. I looked into almost everything out there, public school math, homeschooling resources, etc. Finally, we came across this program, and it has been awesome ever since. LOVE it, and recommend it to all my friend's with kids who need more of a challenge. (Its even a great supplement for kids who are in the public school, and want something to help prep them for college, MATHCOUNTS or other math competitions.) - After my glowing review of the Art of Problem Solving’s brilliant Prealgebra, I feel compelled to rave about this masterly sequel. I don’t know what the Platonic ideal of a basic algebra text would look like, but I honestly can’t think of a way to improve on this one.
Despite the title, Introduction to Algebra delves deep into Algebra 2 territory, especially toward the end, both in the types of concepts it covers and the depth and intellectual subtlety of their exposition.
My daughter and I are finishing up Chapter 19, which includes an introduction to logarithms and logarithmic functions. It was presented with typical clarity and thoroughness, accompanied by illuminating problems that deepened our understanding of these fascinating and extremely useful functions. For years I have superficially known, without internalizing the knowledge, that only positive numbers have logs, and that the logs themselves can take on any real value. It wasn’t until working out a few well-designed problems that we had our moment of insight It’s easy to come up with a function that assigns all real numbers to a nonnegative real number (the absolute value function), but what if someone asks you to do it in the other direction – name a function whose domain (input) is all positive numbers, and only the positives, and whose range (output) is all real numbers? Then, simply name a log function of any given base.
We work through this side-by-side. It would take a motivated youngster indeed to plow through this no-shortcuts, attention-demanding book - or should I say books, because the accompanying solutions manual is a must as well. We do a section at a time, and never too much in any one session. Unlike the Prealgebra book, where we saved the end-of-chapter Challenge Problems until we had gone through the entire book, we have been doing all the problems as we complete each chapter. Of necessity, the problems in this book are a little less like brain teasers and a little more like typical algebra exercises (graphing, using the quadratic formula, completing the square, etc.) but the author does a great job salting in some competition math problems, and making the exercises themselves as interesting as possible. As far as I can see, there is neither a wasted nor a redundant problem in here.
True to the AoPS ethos, sidebars, quotations, and so forth are kept to a minimum so as not to detract from the main course. However, perhaps our favorite part of this book was the two “Extra!†passages, on pages 483 and 511, devoted to explaining the derivation of the Mandelbrot set. My daughter had taken a summer course for middle schoolers on fractals where they worked with this set, adjusting function parameters to create beautiful, somewhat psychedelic graphs, but they were never given an explanation of the function itself. If you look at the Wikipedia page for the Mandelbrot set, it looks like something that would be very difficult for a non-mathematician to grasp. Well, AoPS explains it fully and clearly and it was a source of great satisfaction for us to understand it, finally. Worth the price!
This book contains tantalizing references to the pleasures awaiting us in future AoPS books. We will problem do Intro to Geometry next, and I hope to be able to post a good review of that book in a year or so. - 👠higher level study material. More challenging than the school algebra problems.
