3.7.08 - Response to comments that TT is not as rigorous as other math programs ...
Thank you for allowing me to respond to this. Let me start by saying that the Teaching Textbooks series covers all of the major topics required by state standards. It's true that there are some differences between publishers as to which books contain which topics. For instance, Saxon Math doesn't have a separate Geometry book, so they mix Geometry with their Algebra and Advanced Math (Pre-Calculus) books. That means you won't get all of their Geometry lessons until you've finished Pre-Calculus. But generally, most publishers cover the same topics when you go through their complete series. TT does this as well.
What's unique about TT, I think, is that our books are written in a clear style that's easily understandable to a young student (a rarity in math texts!). Also, we introduce topics when we think the student is best able to truly comprehend the material. This gives students a chance to consolidate their understanding of basic concepts before moving on to more advanced material. In short, the TT series is designed to help students really learn math conceptually.
Equally important is that the TT books give a full explanation of every technique covered. There's nothing more frustrating for a math student than to be introduced to a new technique, but not receive any explanation of what that technique means, why it's important, what it's used for, and how it relates to what the student has already learned. It gives them the impression that math is just a bunch of meaningless techniques to be memorized but not understood. The public school textbooks are notorious for introducing techniques but leaving out the explanation. And it turns most students off of math long before they ever get through high school.
By the way, the reason public school textbooks cram so many topics in their books so early has nothing to do with sound teaching methods. It has to do with the publishers' commercial interests. Public school publishers want to sell one book nationally. But to do that they need to be approved by the textbook committees in all states. So they stuff their books with every topic that's required by all these state committees. If one state requires the topic of probability in 4th grade and another requires it in 5th grade, the publisher just puts probability in both its 4th grade and 5th grade books. The end result is a book that weighs a ton, is stuffed full of repetitive topics, but has no room for explanation.
In my view, the real issue that we face with math education is not what topics are being covered at what age. The real issue is that our students aren't learning the major math concepts that they need to know - ever! That's why 50% of college freshmen are required to take remedial arithmetic and algebra courses before being admitted to the college-level curriculum. Keep in mind that these are students who, for the most part, have used public school texts that cover lots of topics at early ages. And, even after their remedial courses, most of these students never gain mastery over basic math concepts. That's one of the reasons why we have so few Americans majoring in math, science, and engineering.
One interesting thing about the public schools, though, is that even they are starting to see the light on this issue. A recent Math Advisory Panel of U.S. experts, appointed by President Bush, concluded that the range of topics in U.S. math texts should be narrowed in order to improve test scores. They specifically called for shorter textbooks that concentrate on basic conceptual understanding. Math experts are realizing that there's not enough explanation in the books and that force-feeding hundreds of topics with no supporting instruction doesn't work. I believe that this is one of the main reasons why U.S. students rank so low in math internationally. By contrast, Asian countries have more narrowly-focused books, and are at the top of the international rankings.
Finally, I would ask those who are unsure about TT to have a little faith in us. We have years of experience teaching homeschoolers, and we designed all of our products from the ground up just for you. Rather than slavishly following every detail of the often misguided standards of the public school system, we created products that work. The TT series will teach your students what they need to know to be fully prepared for college and beyond. We are a relatively new curriculum, but because of our popularity there are already thousands of students who have used TT and are now succeeding in colleges and universities at all levels - from community college to the Ivy League. Thanks again for allowing me to comment.
Greg Sabouri'