Monday, January 25, 2016

How to Use Saxon Math with Gifted Math Students

Saxon Math is brilliant for students who don't think they are "math people" or who just plain struggle with math. The lessons are carefully-planned, the "incremental development" they advertise doesn't move too fast, there is plenty of practice (including extra practice in the back of the book), and the kids never get a chance to forget what they previously learned because they are constantly practicing it again.

But what about gifted students?

Saxon works brilliantly for them, too.

Gifted kids have a habit of practicing "get it and forget it" in math. It makes sense, they can do all 30 practice problems that are all the same, and then when the teacher never brings it up again, they simply forget whatever skill they learned, moving on to more interesting things. Saxon doesn't let them do this.

But Saxon risks moving too slowly for gifted math learners.

I know; I have a house full of them.

Homeschooling 8 gifted kids, I've learned a thing or two about homeschooling gifted kids using Saxon Math.

Here's how we do it:

Start in the right book for your child.
Take the placement test when you start, and repeat it if you get hung up in math refusal. Do not be afraid to jump to the next book--Saxon reviews everything. I counted once and found only 3 lessons in Math 6/5, for example, that were not also covered in Math 5/4, and those three were covered in Math 7/6, 8/7, and Algebra 1/2.  You won't miss anything if your child skips ahead. I have successfully started some of my children in Math 5/4 at age 5.  My only tip is, if you're getting into the upper levels of math with a little child, remember that their brains are bright enough but their attention span might be shorter, and don't expect to do more than 7-12 problems per day total.

 You can find the placement tests free online here (younger kids): http://www.hmhco.com/~/media/sites/home/education/global/pdf/placement/mathematics/k-12/saxon-math-homeschool/sm_hs_hs_primary_placement.pdf?la=en and here (older kids): http://www.hmhco.com/~/media/sites/home/education/global/pdf/placement/mathematics/k-12/saxon-math-homeschool/sms_plt_middlegrades.pdf?la=en.

My only caveat here is that Math 5/4 is where a child learns both multiplication and long division. Don't skip Math 5/4, even if your child tests out of it, unless you know they can do multiplication and long division.

Skip every other book entirely.
Start in Math 1 (not Math K) at age 3 or 4 (as soon as your child wants to and can do the first few lessons without any trouble) and only do books that start with an odd number.   Skip every other book completely. (We do Math 1, Math 3, Math 54, Math 76, Algebra 1/2, Algebra 2, etc.)  With the higher math, you might find your child needs to slow down (use Algebra 1 as well as Algebra 2, for example).

Only go through entire lesson if your child needs it.
This is especially important for Math K-3.  The entire lesson is scripted, and if you read the entire script, your gifted child will be so bored. If your child understands how to learn new math concepts, only hit the highlights of the lesson and then move straight to the practice problems.

Skip parts of every lesson.
I know it sounds horrible, but you can and should skip parts of each lesson. Every Saxon lesson is designed to have 3 parts: a warm up, a lesson with practice, and a "problem set" that reviews the current and previous lessons. For gifted kids, this is overkill.

Skip the "mental math" or "warm up" at the beginning of every lesson entirely. Do the lesson until your child starts saying, "Okay, okay. I get it." Then stop and move on to the practice problems (marked with lowercase letters.)  Do all the practice problems. Then do only some of the problem set. I usually have my kids do the odds or the evens (odds on odd lesson numbers, even on even lesson numbers).  I have been known, though, to have them do every third or even every fourth problem in a problem set.

As long as they are still passing the tests with 19/20 right or better, they are getting it, even if you skip a lot of the problem sets.

Don't skip the problem sets all together, though. That's where the wonderful spiral review-learning happens, that helps the kids never forget anything. You don't want to miss that benefit of Saxon!

Do more than one lesson a day.
Frequently, I find that I can teach two or three lessons in one sitting and the kids get it just fine. I never skip lessons, but we do go through them fairly quickly sometimes. For example, we do all 120 lessons, all 12 investigations, and all 23 tests from Saxon 7/6 in 115 days. I go through the book when a child starts and make a chart of which lessons to combine, but you can just sit down before math each day and look at the next three lessons and decide how many your child can handle that day. Always do all the practice sets for all the lessons. These are the problems marked with lowercase letters. Then, depending on how many practice problems they did, do every other or ever third problem in the problem set of the last lesson only. Skip the problem sets from the first (and second, if you do three) lessons you taught.

Remember, gifted kids "get it" faster and need less practice, so don't be afraid to set them loose and go through the program as fast as they want.

2 comments:

  1. I have a gifted math son, we just used Saxon 7/6 but he tested through most of the book, so I felt the year was a bit of a waste of trying to place him. (placement test put him in that book). Would you recommend Saxon 8/7 or Pre Alg. next? I think your advice of skipping books will help him. I also heard someone say, you could do all the new lessons but skip the mixed review every other lesson, as long as they are testing well this method helps move them along.

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  2. My gifted son is breezing through 7/6 as well. I'm not terribly impressed with that book, actually, but it does teach fractions and decimal skills you need for both pre-algebra and Math 8/7, so we are doing what you did--test through it as fast as possible and move on. We did Pre Algebra with one of my children and it was great until lesson 50 or so, when it suddenly jumped really fast to very difficult concepts. 8/7 covers the same materials, but in a more measured way that doesn't skip steps. Even my math gifted kids got frustrated with Pre Algebra, but 8/7 moves a little slow. At the moment, I usually recommend 8/7 because it includes both prealgebra and practical math (figuring out cost per ounce to compare prices, figuring out sales, percents off, miles per gallon, and those kinds of useful things). My kids prefer if I combine lessons that are easily combined and have them only to odds or only do evens on problems sets so they don't spend as much time on it.

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