Tag Archives: algebra

Different Paths, Same Endpoint

Way back in first grade, we started with MEP Math, which I adored, but which turned out to be all wrong for both my kids at that point. When both the kids were frustrated by MEP’s tricky problems, I pulled out Math Mammoth and tried that.

BalletBoy took to the Math Mammoth immediately. He liked that it was so straightforward. It made him practice a good bit, but he didn’t mind that, especially when I didn’t make him do all the problems. In fact, BalletBoy kept doing Math Mammoth all the way through fourth grade math. At that point, the Math Mammoth shine seemed to wear off. The order of topics got a little confusing for him. So we jumped ship. We tried a number of different things, including almost a full year’s worth of the Singapore program, Math in Focus, which was great, but also didn’t quite work for him.

In the end, we went back to MEP Math. BalletBoy finished out his elementary math doing MEP. This time, the tricky problems worked for him. Knowing that he was good at math that emphasized following strong examples and just getting in the practice, I got a vintage copy of Dolciani’s Pre-Algebra: An Accelerated Course to use with him. It was perfect and he did the whole book.

On the other hand, Mushroom found Math Mammoth just as stressful and confusing as he had found MEP Math. For several months, I didn’t make him do anything formal for math. He read living math books and played math games. At some point, I let him try Miquon Math and finally we had found something that clicked. Mushroom did so incredibly well with Miquon that I came to adore the program. Unlike BalletBoy’s Math Mammoth, this was a program that inspired me as a teacher. The number relationships and the huge flexibility of the Cuisenaire Rods as a learning tool was perfect.

When Mushroom ran out of Miquon books, he turned to Beast Academy, which unfortunately only had a few volumes out at the time. However, he did them all. He started talking about how much he loved math. While he never became a fast worker, he was sometimes an incredible problem solver with math. He could think creatively about it. I really credited that to Miquon. He thought about math in a much simpler, straightforward way than his twin.

When we ran out of Beast Academy books, he continued his eclectic math path. He did a lot of the Key to Math books, as well as some problem solving books, like the Ed Zaccaro books. I started him on Jousting Armadillos, which is a pre-algebra program. Unfortunately, the amount of writing focus in that program was all wrong for him. He finished it, but barely. We took a math break, then he started in on Jacobs’s Mathematics: A Human Endeavor, which started to re-invigorate his love of math, though he never quite regained it. Mushroom has a lot of anxiety about academics in general, even though he keeps making good progress.

Having liked Jacobs’s other books, I chose Jacobs for Mushroom’s algebra program. Since BalletBoy did so well with Dolciani’s pre-algebra, I assumed he would continue with Dolciani’s algebra program. However, partway through the year, BalletBoy hit a major snag with algebra and I hit a major snag in teaching it. Since I was loving Jacobs, we made the switch.

That means that, for the first time since the very beginning of first grade, my twins are heading into high school finishing the exact same math program, at more or less the same pace.

It’s fascinating to me how different their paths have been. BalletBoy continues to be a “get it done” math student for the most part. He sometimes gets very stuck in his thinking and I have to tell him to stop and try again the next day. He argues with me about math, only to realize he’s completely wrong when he tries to do the problem. Mostly he likes to do his work and he tends to score well, especially if the problem sets are repetitive. If he gets to one he doesn’t understand, he’s liable to skip it and happily go on to the next problem. Overall, he’s in very good shape for finishing algebra.

Mushroom meandered through so many different math concepts. He continues to be a slow worker. While he doesn’t like to admit it, he does better when he can get engrossed in a few very challenging problems instead of a lot of repetitive practice. He second guesses himself and refuses to move on until he understands, which can be good, but can also bring down his scores on tests.

Despite all these differences, Jacobs’s Elementary Algebra has been great for both of my students. It’s not a perfect program, but it has enough challenges and enough practice. It has engaging introductions and enough example problems. It’s really a thorough and great program. I’m also just thrilled to be back teaching the same math again!

I also think there’s something to be said here about letting kids take their own paths through math. It’s okay to take different ways through the material. In the end, you’re going to emerge in more or less the same place.

Algebra for Me

There’s really nothing more satisfying than tackling an algebra problem that you weren’t sure if you really remember how to do, and then getting a solution that seems messy, with an unwieldy looking number, and then looking at the solution and seeing that you got it right.  It’s like solving the Sunday crossword or a five star sudoku.

I think one of the joys of homeschooling is learning alongside the kids.  I’ve done this every year with our history and science studies.  Sometimes I read adult books that get me in the mood for the time period.  Sometimes, I literally learn alongside the kids, watching the same documentaries or reading aloud about specific topics that I didn’t know much about.  However, as we head into fourth grade, I really wanted to be sure that I was ready to teach algebra in a few years, so I bought the Art of Problem Solving algebra book for myself and have been slowly doing it.  I’m not too far in yet, but I like the way AoPS is written to the student and the way the problems unfold.  I like the way the solutions are written and how the material is presented.  And Mushroom liked the way he spotted one of the Beasts in Beast Academy using the algebra book I’m using.