me
Since there was a big snowstorm here, we've been spending most of our time inside over the last couple of days. Erika hasn't wanted to spend much time working with me on math or reading, though she has been having fun with a DK Math Made Easy Kindergarten Workbook (really easy for her, which I think is fine if she's having fun), and has been doing a lot of drawing.

I did create a pattern completion exercise for her, just to see what she would make of it. Based on previous stuff she's done, I was pretty sure she could do the first three, but I wasn't so sure about the last two. It turned out to be a piece of cake.

Picture of patterns )

It's always interesting to me to find out what she can and cannot do. Since this is my first time with a kid this age, I never know what to expect!
me
Today we got some magnetic letter tiles in the mail, and it took a while to decide where to use them. The lap-size whiteboards are too small to fit all of the letters. I could fit them on the back of a cookie sheet, but that wasn't really satisfactory either.

What better time to pull out the full-size whiteboard? )

This is the whiteboard I gave John for our very first Valentine's Day, back in 1989. We took it down when we were rearranging our house pre-baby, so it hasn't been used in more than five years. I guess we need to figure out where to hang it up again now!

The kids and I had fun cleaning the whiteboard and playing with the letters.
me
Today we went down to the National Gallery for a kids' program I hoped Erika would enjoy. She got to do it with her friend Molly, who is just barely not-too-old for the program.

It started out with a visit to see Gerhard Richter's "Abstract Painting 780-1", where the kids were guided through several exercises in observing the painting, including looking at it from top to bottom, side to side, wherever their eyes wandered, and through "binoculars" formed by the hands. That last was actually surprisingly effective in helping you to focus on the details! She asked the kids questions about various aspects of the painting, and it was interesting to see what different kids saw in it -- bugs, trees, a house, a pirate ship, etc.

Picture of Erika viewing the painting )

The next stop was a corner of one of the "Small French Paintings" galleries, to hear the Leo Lionni story, "Little Blue and Little Yellow." On its surface, this story is about color mixing, hence its connection to the Richter painting. I thought it was pretty cool that the kids were having storytime surrounded by art; I happened to notice that a self-portrait of Paul Gauguin was right behind me.

Finally, they took the kids to a big open room with lots of brown paper taped down on the floor, and gave them what appeared to be Crayola Color Wonder paper and paints along with some small squeegees, so they could experiment with Richter's technique.

Erika painting )

Erika had a good time, and I thought it was a well-done program. We will definitely be trying to get back for the second and third programs in the series - it's amazing that stuff like this is available for free!
me
Yesterday started off with swimming lessons for both kids, alternating with time at the library. Erika and I began at the library, where we read a book called, "Boy, Were We Wrong About Dinosaurs". Interesting book, and worthwhile for me because so much has changed in the 30 or so years since I last knew very much about dinosaurs.

Erika really impressed me at swimming. She's taking a course called "Pre-Beginner 3," which is the first class where they really learn independent swimming and work in water too deep for the kids to stand on the bottom. It was the third session, and in the previous two, they'd been working on the basic crawl. Erika was doing pretty well with it, managing to propel herself forward in a reasonably straight line more or less on the surface of the water. Then yesterday, the teacher introduced swimming on one's back. Erika took to that very well, and seemed to be having a great time. I was amazed watching her swim back and forth on her back, without any help from the teacher. At the end, Erika told me she'd enjoyed swimming because she was able to do everything. This was a far cry from five minutes before swimming started, when she told me that she didn't like anything about swim lessons and they weren't fun.

In the afternoon, we went down to the National Gallery of Art, where we looked at some impressionist paintings. Erika and I had read about Van Gogh in the Usborne Book of Famous Paintings, so we made it a special point to see a couple of his paintings, and happened upon a self-portrait of Paul Gauguin. We also looked at some Monet, Renoir, and Cassatt before the kids ran out of steam.

Continuing in the art theme, this morning John and Erika stumbled into doing some shared art. They did a series of crayon drawings of the seasons, taking turns adding elements to the pictures. Erika also drew a picture of a carnivorous dinosaur.
me
Today we did our second day of Domino Math. Yesterday's was pretty much straight out of MEP Year 1 lesson plan 21 (though we used bigger numbers), while today's was inspired by MEP lesson plan 22 with some Miquon thrown in. I had Erika pick out dominoes of her choice, write an addition problem with them, and show the same thing with Cuisenaire rods.

A photo )

One thing I'm noticing is that there are areas where I need to start jumping over some of the MEP lesson segments. There's stuff Erika has thoroughly mastered, and just doesn't need more practice on. So I may need to start putting more energy into figuring out which parts of each lesson would be worthwhile, and which ones I should never even put out there.

Oh, and the best math moment from yesterday was when I asked her if she was done writing 6 dots, and she said something like, "no, I haven't done two threes yet." :-)
me
I had always planned to do Miquon math with Erika, I just got caught a little short when she suddenly decided she wanted to do math lessons this year. I had the main teacher's guide (the "Lab Sheet Annotations") and the First Grade Diary, which explains how math was actually implemented in the Miquon school. I'd even read the First Grade Diary and parts of the Lab Sheet Annotations. What I didn't have was any of the actual Lab Sheets!

After Erika's math obsession had gone on for a couple of weeks, I ordered the Miquon "Orange Book," and today we did the first two sheets. It was easy material for her, and I think I'm going to omit a few pages to get to something with a little more challenge. I'll be interested to see what she thinks of Miquon as we move on with it. I also introduced the concept of putting your name and the date onto the lab sheets today.

We also did more MEP today, wrapping up the end of Lesson Plan 19 and moving on into Lesson Plan 21. (Every tenth lesson doesn't really exist, it's intended for consolidation and review in the classroom.) A few pictures )
me
Erika definitely has her own ideas about reading, which means she's not terribly teachable. She only likes to work on reading right before bed, when she's exhausted. She doesn't really want any kind of systematic instruction. All she wants to do right now is read Bob books, usually only once for each book, so she doesn't get much practice before moving on to harder material. It's not what I would consider an ideal learning situation.

One of the things that often happens is that she doesn't want to try to decode unfamiliar words that she's perfectly capable of decoding. For example, the other night she professed complete ignorance of the word "skipped" despite having correctly read the word "skipper" in the same sentence. She likes it if I sound out the word for her, at which point she knows exactly what it is.

When the same kind of thing happened tonight, I came up with a new strategy. I suggested that I sound out every other letter.

What I didn't expect is that this would cause her to read the whole word. I just figured we'd take turns sounding out the letters. It turned out that once she'd sounded out the first letter, she just went ahead and read the word. This probably happened 4 times. I guess the idea that we'd take turns made it enough fun that she was willing to focus, and once she focused, she no longer wanted or needed any help.

I'll be interested to see what happens from here.

M & M Math

Dec. 29th, 2009 04:13 pm
me
Erika was not really "getting" the less than or equals sign and the greater than or equals sign, plus she was unenthused about subtraction, so I decided today to make it more fun with some M & M's.

I put M & M's on each side of a symbol, and asked her to take away M & M's (eating the ones that were taken away) in ways that preserved the correctness of th mathematical expression. Well, what I actually said was more like, "Ok, now where can you take away an M & M and still have it be right?"

Picture of M & M lesson )

By the end of several exercises like this, I think she had a pretty good grasp of the "greater than or equals" and "less than or equals" signs.

We also did a bunch of subtraction problems, which was indeed made considerably more fun by being allowed to eat the M & M's that were subtracted.

After we spent some time on M & M math, we did a bunch of other stuff, including having her complete patterns like "1, 3, 5, ..." and "10, 8, 6, ..." orally, without me telling her what the pattern was. All in all, a very good day of math.
me
We decided Time4Learning wasn't really right for Erika right now, but through their "Playground" feature, Erika discovered Brainpop Jr., which seems to be right up her alley. She's just not all that interested in the kind of scripted curricular approach they have at Time4Learning, and I'm glad, because it was making me a little uncomfortable. Brainpop Jr. doesn't make you do thing A before you do thing B, and has all kinds of engaging science videos, which is the main kind of thing she was interested in on the Time4Learning site.

She's continuing to be interested in math, though I'm having trouble sometimes getting her to stop doing math before she gets frustrated and storms off. I suppose it would be possible for me to simply refuse to supply further math activities after 25 minutes or something, but that doesn't really feel right to me, either. Anyway, today she did count up to 20 by 2's starting with 1 and starting with 2, and count back down from 20 by 2's, with the help of the "number ladder". She also counted to 10 by 2's during dinner on her own initiative, without the aid of anything written down. We did some simple addition and subtraction problems (though she really doesn't like subtraction), and an exercise involving figuring out which group of things has more elements without counting them.

At the end of the day, she complained that she hadn't had time to play any games with me today. Gee, perhaps that's because she spent the several hours of one-on-one time we had today using Brainpop Jr., making art with her new rubber stamps and colored pencils, doing math, and adopting the new Webkinz she got for Christmas...
me
This morning the kids decided to "play school" and told us they were "math kids." Karl even had to put his backpack on to go to school. Aww...

Later, we worked on lesson plan 6 from MEP Year 1. I involved both of the kids in an exercise where we threw balls back and forth and shouted out opposites (tall/short, left/right, up/down, etc.). Then when Karl was napping, Erika and I did most of the rest of the lesson. It took a really long time because we went off on some tangents, which I thought was fine. After all, part of what drew me to homeschooling in the first place was the idea that it would be possible to spend more time on whatever interested the kids, instead of being constrained by predefined time blocks.

One of the exercises involved drawing a figure like this:

            *
         *
      *     *
   *     *
*     *     *
   *     *
      *     *
         *
            *

The idea was to then count the number of dots in each column. Which was all well and good, but then, at my suggestion, we spent some time drawing lines between the dots to make triangles. Erika then also drew a second collection of dots for us to make triangles out of.

Another activity involved drawing a ladder and labeling each rung with a numeral from 1-10, so we could count up, count down, and count by 2's. Erika decided to augment the ladder by adding 11 and 12 to the top of it, and putting the corresponding number of dots next to each numeral.

Snowed in

Dec. 19th, 2009 06:49 pm
me
We're snowed in, so in addition to baking bread and making mushroom soup, we did some math today, something I've previously avoided doing with any kind of formal curricular approach.

I printed out the first 10 pages from Year 1 of the Centre for Innovation in Mathematics Teaching's Mathematics Enhancement Programme, decided to skip the actual lesson plans for the first few pages (since I was pretty sure Erika already got the concepts involved), and worked on the worksheets with Erika.

The only thing she had trouble with was an exercise on permutations at the bottom of page 4 )

She really didn't seem to understand the idea, so a couple of hours later I got out the Cuisenaire rods so we could practice. It made total sense to her with concrete objects )

I'm impressed so far with the Mathematics Enhancement Programme, and am looking forward to trying out some of their lesson plans soon.
me
I just decided to sign Erika up for the Time4Learning site. She seems bored with preschool online stuff, and thought the demo activities were fun. We'll see how it goes!

We've been playing a lot of board games lately -- Gobblet Jr., Set, and Uno are the favorites right now. Erika also recently did a moderately complicated maze in her head before setting pen to paper, instead of trying out different routes with the pen. We thought that was pretty cool! There are constantly new developments in her drawings; last week, she drew a picture of a house where she left the clouds un-colored-in and colored the sky blue; it's the first time I've seen her take advantage of the color of the paper as part of the artwork.

She can read all of the Bob Books in the first two Costco collections (goes up through the end of "Bob Books Set 3"); I haven't given her the third collection yet, because I thought she needed time for the stuff she learned in the first 2 collections to really sink in.

Her German has been really taking off in the last few months; she now initiates conversations with me in German quite often. Yay!
me
I cannot believe our education secretary actually referred to a "cradle-to-career educational pipeline" as a positive goal to be sought.

Oy.

http://www.washingtonpost.com/wp-dyn/content/article/2009/11/20/AR2009112002391.html

The article is about the value of creative play, and how the push for earlier academics diminishes the opportunities kids have for play.
me
Erika had been using an online reading system called Reading Eggs in the spring, and was pretty enamored of it. But it got to the point where it was hard for her, and she wasn't interested in going back and doing some of the previous exercises again to solidify her grasp on the earlier material, so she didn't do much with it over the summer. She was stuck on an exercise that required you to read a certain number of words in a 2-minute period and click on the corresponding picture from a grid of 16 or so choices. She really dislikes timed exercises, and hadn't much liked being put on the spot anyway. What she really wanted was for me to do it for her, but although I'm willing to give her some help with Reading Eggs, I felt like this was an exercise she really just needed to be able to pass on her own.

So she took a hiatus from Reading Eggs. In the intervening time, we've been reading the Beginner Phonics books from Progressive Phonics and playing the associated memory games. She's also been working her way through the first box of BOB books we bought at Costco a few weeks ago ("Collection 1") and has gotten through 12 of them. During this time, she's also gotten a lot more "teachable" -- she previously seemed to feel like she ought to know everything without any help.

Anyway, today she went back to Reading Eggs, and after needing a little encouragement to get through that first exercise in egg 70, she flew through the rest of the egg, which required genuine reading on her part, and easily passed the quiz at the end of map 7. Yay, Erika!
me
Yesterday, we had a couple of kids Erika's age over to play games. Luckily, Karl took a decent nap so the older kids had a chance to play a fair bit before he joined us. We played an amazing number of different games, including both multi-player and single-player games/puzzles. Now I'm just trying to figure out how many more kids could participate in something like this before total chaos ensued...

They even wound up playing with the Cuisenaire rods; Erika and I had been playing a game involving removing a single rod from a pattern and seeing if the other person could deduce what color it had been. As a slightly more advanced version, we'd also been replacing the single rod with two rods that, together, were the same length. Anyway, Erika wanted to share this game with the other kids, so we did that for a while. It was too bad I hadn't yet received my order of additional rods, as the kids would have enjoyed building and making patterns with the rods if there'd been more of them. Of course, I got the additional rods today, so now we have plenty for another time!

In a way, I can't believe Erika is old enough for a games afternoon, but I'm thrilled!
me
I bought some used Cuisenaire Rods to go along with my Miquon math materials. Even though I'm not planning to use the Miquon materials yet, I wanted to get some Cuisenaire Rods so I could do some of the exercises myself and figure out how many of them we needed.

Just from giving the kids the opportunity to play with them once, I can see that I need a lot more!

Picture of kids playing with Cuisenaire Rods )

I also got the "First Grade Diary" yesterday, which gives the experiences of the developers of the Miquon Math program teaching first grade one year. It's very helpful, and makes clear that the kids in the Miquon school had access to LOTS of Cuisenaire rods during their frequent free play sessions.
me
A few days ago, Karl started asking me which letters start particular words. It's kind of an interesting thing for him to be asking, because he doesn't actually know his alphabet. Perhaps this is his way of learning it.

This morning in the car, he started asking Erika. He probably asked her 20 words before she got sick of the game, and the only two she got wrong were "arm" (she thought it started with R) and "tree," which for some reason she thought started with H -- I think this one may just have been a lapse of attention on her part. She did get the starting letters for ambulance and truck right.

Anyway, I thought it was fun to listen to the conversation between them.

In other reading news, Erika read me a book yesterday! Admittedly, it was a super-easy beginning reader book, but it was a whole book she'd never seen before. Whee!

Number line

Sep. 6th, 2009 03:40 pm
me
This afternoon Erika suggested that we read part of book 3 from Progressive Phonics. After she was done with that, she wanted to play the short "i" sound memory game, which we hadn't done before.

When she counted up her cards at the end, she told me she had 11. I told her that wasn't one of the possibilities, that it had to be either 10 or 12. Since I've been reading the Miquon Lab Sheet Annotations, I thought it might be a good chance to show her a number line, so I asked her if she'd like to see how I knew she couldn't have 11 cards. She was interested, so I drew a number line on a piece of paper and we talked about it a bit. Picture of number line )

Then we played a game of Set, and did a number line for that at the end also. Since each set is 3 cards, this time we got to hop by threes. Picture of second number line )
me
Today's amusing "homeschooling" activity was play-dough words -- or rather, word. I made up some cards with useful words on them in huge type, and Erika rolled out snakes to lay over the letters. I decided to try this activity because I wanted to see if doing something that required extended time with one particular word would help that word get really set in her mind. Anyway, she decided one word was enough ("you"), but she had fun and seems to know exactly how to read and spell it now. We'll see whether she wants to do this again on another day with a different word.

Picture of completed word )
me
A few days ago, I heard about a free reading program called Progressive Phonics, and thought it might interest Erika. One of the features that distinguishes it from other programs is that, although it does teach the phonics rules, it emphasizes the acquisition of sight words. Since I believe that true reading is done by sight words, this appealed to me. Also, one of its main teaching methods, at least in the early levels, is through the reading of amusing stories where the parent reads most of the words, and the child reads only a few words on the page. This allows the stories to be more interesting, and creates a fun atmosphere of reading together. Erika really likes the kind of story where the adult reads most of the words, but the child "reads" pictures representing some of the nouns, so I thought she might enjoy this kind of collaborative reading.

She enjoyed reading the first book together, but what she really loves is the associated card game. The program comes with a lot of worksheets and other materials to go with each book; in this case, there was a memory game featuring 9 high-frequency words with the "short a" vowel. I enjoyed printing up and laminating the cards, and we've played twice now. She clearly reads all of the words well, and I'm pretty sure she didn't know some of them before we read the book. One of the things I love about memory is that it's possible for me to play together with Erika and have her win; of the 8 times we've played, I think she's won about half the time, including one game in which I got no pairs.

pictures of the game )

I'm not entirely convinced that I ought to be doing this kind of thing with Erika at her age, but I think I've decided that as long as we're both having fun and I don't have any expectations of how often she'll want to do it or what kind of progress she might make, it's OK.