Kitchen.AnneDwyerSummerMathClass2005 (r1.1 vs. r1.123)
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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.123 - 30 Aug 2005 - AnneDwyer)

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-- AndyJoy - 29 Aug 2005
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Andy,

What problems does she have on her mad minutes for pre-algebra and algebra 1 students?

Does she go back to basic addition, subtraction, multiplication and division or does she do something more complicated?

-- AnneDwyer - 30 Aug 2005


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-- CatherineJohnson - 01 Aug 2005
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I loved Mad Minutes too! Even when I was in hs calculus I'd do a few "just for fun" after school to see if I could still pass them. My mom teaches Saxon Pre-Algebra and Algebra 1 and has her students do Mad Minutes every day. They enjoy the competition, but she also gives them the reward of lunch out with her and a friend once they complete a sheet for each operation (about 8?)

-- AndyJoy - 29 Aug 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.121 - 01 Aug 2005 - CatherineJohnson)

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-- CatherineJohnson - 01 Aug 2005
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I think the rec department approach is an interesting one.

Cool.

-- CatherineJohnson - 01 Aug 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.120 - 01 Aug 2005 - CatherineJohnson)

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-- CatherineJohnson - 01 Aug 2005
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Anyway, Catherine, there was an article somewhere about an autistic girl who could not speak but could type on the computer. She still cannot talk, but she is in college and can communicate at her college level on her computer.

That's Sue Rubin!

She's great! (I know her & her mom a little). a good friend of mine from NAAR days was involved in the production (the NLM Foundation funded it).

I love 'Math Boosters'!

-- CatherineJohnson - 01 Aug 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.119 - 01 Aug 2005 - CatherineJohnson)

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-- AnneDwyer - 01 Aug 2005
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Have fun--we'll see you when you get back!

-- CatherineJohnson - 01 Aug 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.118 - 01 Aug 2005 - AnneDwyer)

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-- CatherineJohnson - 28 Jul 2005
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OK, lots of questions and I am on vacation at the beach. It is heaven.

Anyway, Catherine, there was an article somewhere about an autistic girl who could not speak but could type on the computer. She still cannot talk, but she is in college and can communicate at her college level on her computer. See if you can find it from my vague info because I believe it had some good info on how she was finally able to show people that she could communicate at the appropriate age level. Before, she was totally closed off. Maybe your son could learn something like this.

As for my class, I billed it as securing basic skills and increasing self confidence in math. I call it Math Booster. I'll keep you posted.

Anne

-- AnneDwyer - 01 Aug 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.117 - 28 Jul 2005 - CatherineJohnson)

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-- CatherineJohnson - 28 Jul 2005
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Last question: how are you 'billing' your rec department classes?

You're calling them 'enrichment'--what else did you say?

-- CatherineJohnson - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.116 - 28 Jul 2005 - CatherineJohnson)

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-- CatherineJohnson - 28 Jul 2005
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I try to connect a new topic to an old topic in a very concrete way.

This is smart constructivism.

I haven't started posting about this yet, but it turns out there is a smart form of constructivism that went missing when people created the NSF-funded curricula.

ALL knowledge has to 'hook into' knowledge that's already there, inside the brain.

It's much better to know and use this fact than just to throw stuff at people and let them try to hook it to something they already know on their on.

-- CatherineJohnson - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.115 - 28 Jul 2005 - CatherineJohnson)

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-- CatherineJohnson - 28 Jul 2005
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Saxon does all kinds of fun pre-algebra things that I think are good.

He'll have a huge, long addition column, all single digits, maybe 12 of them, and there'll be one variable somewhere in the stack.

-- CatherineJohnson - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.114 - 28 Jul 2005 - CatherineJohnson)

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-- CatherineJohnson - 28 Jul 2005
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That technique is jogging my memory.....and I absolutely can't figure out what you've reminded me of. DARN.

It was something like that, where the teacher works up the rhythm & the structure so that the student basically can't NOT come up with the correct answer.

-- CatherineJohnson - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.113 - 28 Jul 2005 - CatherineJohnson)

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-- CatherineJohnson - 28 Jul 2005
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"Any number plus zero is the number. So what is 1+0?" And they, of course, answer zero. Then I go up, What is 2+0, what is 10+0, what is 100+0. By now, they are looking at me like I'm crazy. Then I say, "What is a+0?" Most students will automatically answer "a". Then they hesitate. "That's right", I say, "a+0=a and a can stand for any number." I do the same thing with a*1.

Brilliant.

-- CatherineJohnson - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.112 - 28 Jul 2005 - CatherineJohnson)

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-- CatherineJohnson - 28 Jul 2005
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I have their full attention and their brains fully engaged for about 35 minutes

IIRC, Skinner figured out the maximum amount of time a person could concentrate purely on one thing.

It was somewhere around 40 to 50 minutes, and that was a highly-trained adult.

The story went that he trained himself to do nothing but work in his office. The instant an extraneous thought came into his head, he left. After awhile his office 'triggered' concentration, which of course never happens for kids (or for any adults I know).

But even with all that training, the longest he could go without extraneous thoughts was around 45 minutes.

-- CatherineJohnson - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.111 - 28 Jul 2005 - CatherineJohnson)

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-- CatherineJohnson - 28 Jul 2005
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Wow--I didn't realize how behind I am!

That's incredible about the girls WANTING to do Mad Minutes.

Fantastic.

I'm wondering if I ought to have some Mad Minutes on hand for that very purpose. (The Saxon pages are a little more intense, since they're 5 minutes per page....)

-- CatherineJohnson - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.110 - 28 Jul 2005 - CatherineJohnson)

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-- CatherineJohnson - 28 Jul 2005
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Anne--I think your experience probably jibes exactly with the work described in the new SCIENTIFIC AMERICAN article, so I'm adding the two posts I wrote about it here:

-- CatherineJohnson - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.109 - 28 Jul 2005 - CatherineJohnson)

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-- CatherineJohnson - 28 Jul 2005
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Oh gosh, you've jogged my memory. There's a new study out in SCIENTIFIC AMERICAN showing paper and pencil to be far superior to manipulatives for young kids--incredible.

I'll get it posted today.

-- CatherineJohnson - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.108 - 28 Jul 2005 - CatherineJohnson)

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-- AnneDwyer - 28 Jul 2005
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I have a quick off-topic question.... (and I realize I'm behind reading your journal PLUS I need to get this pulled 'up front.')

I ordered a READ NATURALLY book, and it's fantastic. Just amazing.

I'm now having Andrew listen to one story each day, the one about the peacock & the peahen. I hold his finger and point it to each word as we go along.

But now I'm stuck.

He basically doesn't talk at all--though he's now learning--and I can't quite think how to test him on the content.....

Do you have any ideas?

I'm a little 'stuck' with Andrew overall, and have been for a long time. Somehow the fact that he doesn't speak gets me gummed up; I can't quite envision the alternatives.

Fortunately this year the school taught him to read using Edmark, so that jogged my brain loose a bit.

Anyway.....if you have thoughts, I'd like to hear.

(I guess first of all I'm wondering whether I ought to try to ask questions using pictures, as they do in Edmark...)

-- CatherineJohnson - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.107 - 28 Jul 2005 - AnneDwyer)

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-- CarolynJohnston - 28 Jul 2005
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Carolyn,

I am looking forward to my classes so I can gather data about this model of delivering instruction to students.

My summer class had all kids going into third grade and one going into second (her brother was in the class). But my daughter's birthday is in August and many of the kids had birthdays in the Jan - March range. The going-into-second-grade student couldn't do the word problems either. So it seems at this age that a 6 month or more difference in age makes a difference. The two step word problems were from second semester third grade Singapore math book.

-- AnneDwyer - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.106 - 28 Jul 2005 - CarolynJohnston)

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-- CarolynJohnston - 07 Jul 2005
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Anne, thanks for keeping us posted on your summer class! Will you also write about your enrichment classes this fall?

3 classes -- that's a lot of classe for one person. But I guess you are building up a knowledge base.

One last question -- what were the ages of the kids in your summer class?

-- CarolynJohnston - 28 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.105 - 27 Jul 2005 - AnneDwyer)

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I can see where it would be a problem if you saw all the details and had a hard time picking out certain details. That's probably why he likes the detective show Monk so much!!! He sees all the details that no one else picks up.

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Summer Math Class Summary


Well, summer math class ended today. I did eight sessions and covered the following topics:
  • one digit addition and subtraction for speed
  • up to three digit addition and subtractions with and without carrying and borrowing
  • place value up to 1 trillion
  • measuring length in inches (to 1/16") and cm (to .1 cm)
  • fractions (most common 1/4, 1/2, 3/4)
  • coin money including adding money and making change
  • word problems (both one and two step)
  • strategy in games and puzzles

This is what I learned:

  • kids love to do pencil and paper work in math
  • kids like to compete against each other
  • one hour is too long for kids at this age. Better is 45 min.
  • do all the hard work or introduce new topics in the first 30 min.
  • Ten kids sitting around a table who all know each other is not the ideal setting for doing math. Especially when the temp hits the 90s and there is a trampoline in the back yard.

Nevertheless, I think this model is something I want to explore more. So this fall, I will be offering math enrichment classes through the local recreation department. It will be 45 min classes. I will offer one for grades 1&2, one for grades 3&4 and one for grades 5&6.

One and Two Step Word Problems


Today, we worked on one and two step word problems. I took them from Singapore Math levels 2A and 3A. I worked specifically on getting them to write the equation for the problem and then get the answer. I saw some interesting things.

With the easy one step problems, the more intutive kids worked the problem in their heads and then wrote the opposite equations.

The problem was: After giving away 10 comic books, Rami has 36 left. How many did he have to start with?

I expected the equation to be 36+10 = 46 and most kids wrote it that way. However, two kids solved the problem in their head and then wrote 46-10 = 36. They did this repeatedly for easy problems.

Also, I think this is an interesting statistic: I had 6 kids in the class today. All could solve the single step problems even when they involved 4 digit numbers. Three kids could solve the multistep word problems with equations. Three of the kids could not solve the multistep problems and really didn't understand the solution once it was presented to them. This makes me think that there is a developmental age for being able to do this kind of problem. The ones who could not get it were the youngest kids in the class by at least 6 months.



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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.104 - 14 Jul 2005 - AnneDwyer)

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Erin is finally finishing up 1B. She is working on money. She has always had problems counting money. She can skip count by 5 and she can skip count by 10. But she couldn't skip count by 10 if she was on a number that ended in 5. I tried several methods to help her but nothing worked until we started working on the white board. I wrote out skip counting by 5 and underneath I wrote out skip counting by 10. And finally, in frustration, I suggested that when she had to increase the number by 10, she should skip count by 5 twice. Well, that just totally clicked with her. She got it and has never had another problem counting money. I never would have 'taught' it that way, but it totally worked for her.

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Summer Math Class Day 5


OK, I think I am starting to figure this out. In a one hour class, I have their full attention and their brains fully engaged for about 35 minutes. Then, for the last half of class, I have to have short, quick things to do to keep them from getting restless.

Working with Whole Numbers


I like to give them number puzzles. I think puzzles make them think about numbers and how they fit together. If you tell them, let's do a puzzle, most of them will groan.

Plus, I have been thinking about Carolyn's question about good sources for pre-algebra. I talked about using equations with boxes. But I also think it is important to give kids practice with equations. So here was their first assignment:

Using the white board, I asked them, how many equations can you make that add up to 3 using only addition and the numbers 1,2, and 3. You can make 3 equations: 3 by itself (they didn't like this so I had to let them use 3+0), 1+2, and 1+1+1.

Then, I erased that and put the number 6 on the board. I said that there are 10 equations that you can make that add up to 6 using 1,2,3,4,5,and 6. Let's see how many you can find.

There was total silence and concentration as they all put together their equations. When they were done, they each contributed an equation or two on the white board. I believe everyone got 10 or close to it.

Now, they wanted to do more. They asked about the number 10, but there are 42 equations. So we agreed on 7 (15 equations). Again, there was total silence and concentration while they wrestled with this problem. After about 10 minutes, they asked to work with partners so they could find all 15 equations. By the end, everyone had all 15 equations.

Suggestions for Pre Algebra Class

If these kids had been older and it had been a regular prealgebra class, I could certainly see this as a nice exercise for introducing unknowns.

Before I did that however, I would teach the identities with unknowns. This is how I do it in a tutoring session. I say to the student, "Any number plus zero is the number. So what is 1+0?" And they, of course, answer zero. Then I go up, What is 2+0, what is 10+0, what is 100+0. By now, they are looking at me like I'm crazy. Then I say, "What is a+0?" Most students will automatically answer "a". Then they hesitate. "That's right", I say, "a+0=a and a can stand for any number." I do the same thing with a*1.

Now, put all 10 equations for the number 6 on the board. And substitute "a" for one of the numbers. For example, use 3+2+1 and substitute a for 1. Then the equation becomes 3+2+a=6. And 1+1+1+1+1+1=6 becomes a+a+a+a+a+a=6.

From here, you can show them how to manipulate the unknown in an equation. Since they already are familiar with the equation and they know what a stands for, you can show them, for example, that combining a+a+a+a+a+a=6 into 6a=6 is the same equations and has the same solution. This way, you are not introducing so many new things at once.

That is actually my philosophy when I tutor. I try to connect a new topic to an old topic in a very concrete way.

Discoveries in Art Class


Daniel is taking an art class during these next two weeks. I have two reasons.

  • I think it will help me see how he sees the world.
  • I hope it will help his visual perception skills and his fine motor skills.

It's a great class. The first thing they did was make a portfolio to hold their work!!

Today was the first time I saw anything of his. They did a still life drawing with charcoal pencils. There was a violin, a book, a feather, and some other things. I was very proud of him. The art therapist told me that he sees everything in great detail so he had a very hard time just picking out certain things to draw for the picture.

I can see where it would be a problem if you saw all the details and had a hard time picking out certain details. That's probably why he likes the detective show Monk so much!!! He sees all the details that no one else picks up.




 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.103 - 07 Jul 2005 - CarolynJohnston)

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Anne, it's weird little things like click -- that skip-counting trick -- that mean that the best teachers are those who can attack a problem from a number of directions, and those who can be flexible and let things go.

I need to take a page from your book, when it comes to that last thing.

-- CarolynJohnston - 07 Jul 2005


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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.102 - 06 Jul 2005 - AnneDwyer)

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I'll keep you posted.

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Summer Math Class Day 4


Today was not a good day in the summer math class. It was very cold this morning, and the kids did not go to swim practice. I forgot my folder and had to wing it.

The first half hour was fine. We couldn't start with Mad Minute. So we went straight to a strategy game with large numbers.

The kids pick the number of digits (we usually start with 5). They put 5 dashes on their paper. I turn over 5 cards in a deck one by one. They have to decide where to put the numbers. Then each kid reads their number to me while I put it on the white board. The kids with the highest number wins.

For some reason, they love this game. On the next round, we go up one digit. Today, we went all the way up to 100 million.

It's a great game.
  • They gain familiarity with large numbers. They get a lot of practice with reading large numbers out loud and hearing large numbers read out loud while it is being written on the board.
  • They have to use strategy. In some games, we have a lot of high numbers at first which every kid puts in the same place. Then, they winner is the determined by the numbers in the ones and tens place. Conversely, sometimes we have a lot of low numbers in the beginning. Then the winner is determined by the highest digits. Much more interesting is when we have medium and low cards. Then, they have to do a lot more thinking about where the cards go.
  • There are very concrete results from this game that allow us to explore numbers even further. In one game, 5 out of 8 kids had the same highest number. So we talk about why and when does this happen? In one game, we had one winner that was a lot higher than anyone else. When does this happen?

The next game we played was 5 to make 10. They get 5 cards and they have to make as many equations that equal 10 as they can. They write them down on a piece of paper. This game teaches:

  • Addition and subtraction facts.
  • Properties of mathematics. For example, 6+4=10, 4+6=10. And that is 2 equations in our game.
  • Strategy. What are the best cards to get? What are the worst. When you make an equation with 3 cards, the number of equations you count goes from 2 to 6. So a mix of low and high cards is the best. A hand of all high cards is disaster. I should experiment with allowing them to swap cards.

But, after that, they just couldn't concentrate any longer. They didn't agree with my suggestions of what to do next and they couldn't agree on what they wanted to do next. I had to let them got out to play after 45 min.

The kids sit around a big table. This allows them to partner and share the material. But when things start to go bad, having them all around a table multiplies the problem. This is what I dislike so much about the grouped desks in school. It distracts the kids even in the best of circumstances.

Summer Program Update

Daniel has been doing very well in Singapore Math. He is halfway through 3B. But today he had some review word problems. What I find is if Daniel can't do a specific word problem, I help him as much as needed because the same type of word problem will come up again. And when he is ready to process that type of word problem, he'll get it. But if it is still difficult for him, he won't be able to do it 100% if the time.

In Daniel's IEP, his goals are usually written such that he has mastered something when he can do it 80% of the time. If he hits a certain type of word problem in Singapore Math that he is very comfortable with, he can do it 100% of the time. If he comes up on one that he understands but is not comfortable with (problems with 3 numbers freak him out because he knows it is going to be multiple steps), then he'll be able to do it 8 out of 10 times...but those last 2 times are total trauma.

It could be he is having a bad day or he is tired or something is bothering him. And it doesn't pay to dwell on the problems on days like that. Just do your best and go on.

I had him listen to a story in Read Naturally and then read it to me. And he did terrible. So I told him to listen to it again. When I tried to rewind it, I found out that the batteries were dead, so he didn't listen to the story. He didn't want to tell me because he was afraid he had broken it.

After he listened to the story, he did much better (10 more words per minute and no mistakes). So, listening to the story which models good fluency does make a huge difference in how he reads.

Erin is finally finishing up 1B. She is working on money. She has always had problems counting money. She can skip count by 5 and she can skip count by 10. But she couldn't skip count by 10 if she was on a number that ended in 5. I tried several methods to help her but nothing worked until we started working on the white board. I wrote out skip counting by 5 and underneath I wrote out skip counting by 10. And finally, in frustration, I suggested that when she had to increase the number by 10, she should skip count by 5 twice. Well, that just totally clicked with her. She got it and has never had another problem counting money. I never would have 'taught' it that way, but it totally worked for her.



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 <<O>>  Difference Topic AnneDwyerSummerMathClass2005 (r1.101 - 02 Jul 2005 - CarolynJohnston)

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-- CatherineJohnson - 19 Jun 2005


Anne, I didn't know you had a son who had been classified as ASD. I didn't think the schools could do that...? I thought that diagnosing a physical condition like that was out of scope for them...

but geez, welcome to the club. :/

I applaud your setting such detailed goals for your own kids and the kids you work with. Gosh, if every special ed teacher out there set such clear goals for their kids, not only would the kids be doing well, but IEPs would all be miracles of clarity. (For those who are lucky enough not to know what an IEP is, it stands for Individualized Education Plan, and it's a legal document describing what the school will do to individualize the program of a child with a disability in order to meet his educational needs).

When Ben was a lot younger we briefly used a product called Handwriting without Tears for improving his fine motor skills. Since there aren't many product offerings in the realm of handwriting programs, and since HWT is one of the better ones, you probably know of it, but I thought I'd throw it out there in case you hadn't heard of it. They do have a program for cursive, I think.

Thanks for the warning regarding special ed classrooms. Ben is doing a reading and writing 'clinic' this year. The idea is that he'll graduate into regular classes at the end of the year after having this one more year of intensive work. It will be worth it if it is in fact intensive work.

Actually Ben's always held his own in the regular reading and writing groups, but with a lot of hard work. I want that to continue.

-- CarolynJohnston - 20 Jun 2005


Catherine,

The ASD is a new classification in Michigan. The school staff has been trained on some new tools to determine who is in this classification. He just had a full evaluation by the school staff and the intermediate school district staff. (In Michigan, the intermediate school district has a collection of experts that all of the school districts can tap into.)I was very impressed with the results and I learned a lot.

As for handwriting, Daniel has always received occupational therapy support. And we tried HWT. His problem is not only fine motor skills but visual perception skills. He cannot draw at all. His drawings of people are still at the preschool level. His teacher says that all of the students she has had who are ASD cannot draw either. I will be researching whether there is a link between not being able to draw and not being able to read non verbal communication. (Obviously, the research statement needs a little work.) If you have any good sources, please let me know.

I don't think the inability to draw is true for all autistic people. I get the impression from her books that Temple can draw although she doesn't address it directly. Can your sons draw?

Anne

-- AnneDwyer - 20 Jun 2005


Actually I guess my son draws pretty well, about like any other 11 year old boy, or a bit better. His handwriting is pretty good too (best in the family, actually, of the males).

There are actually a fair number of 'autistic savant artists' who draw fabulously without any training.

-- CarolynJohnston - 20 Jun 2005


Anne--do you want this formatting stuff off the page?

Carolyn thinks it makes the page confusing to read, and I have to say I agree--

I'll be happy to take it off (or you can take it off)--let me know!

-- CatherineJohnson - 23 Jun 2005


Actually, now I SERIOUSLY agree, since I just got lost in the stuff myself. I'm going to see if I can at least put it a lot further down, then wait to hear from you.

I'm interested in your whole program.

First question: how are you doing cursive handwriting practice?

-- CatherineJohnson - 23 Jun 2005


I did endless handwriting-program research a few years ago, and settled on WRITE NOW by Barbara Getty & Inga Dubay.

It's geared towards adults, but I used it with both Christopher & me two summers ago.

It was great.

I think they may have developed their system for people like physicians; IIRC they do seminars where, at the end of a couple of hours, doctors are writing legibly.

They teach a kind of . . . modern manuscript-type style?

It's supposed to be much easier to do, and more rational (in terms of the physical process of writing) than the Palmer Method.

I liked it. Hope to get back to it one of these days.

BUT the one thing about it is that sometimes kids who have trouble with handwriting actually do better with cursive -- true of Christopher. Much better cursive than printing.

The WRITE NOW script is semi-cursive, in that all the letters connect (haven't learned how to do that yet).

So it may be OK that way, too.

-- CatherineJohnson - 23 Jun 2005


Hi all,

I agree, the stuff at the top is confusing and it might make people think that they have come to the wrong site.

I'll give an update soon. I can write a comment easily and quickly, but it takes me longer when I have to think about formatting.

About cursive handwriting: Daniel learned it from his occupational therapist. We are simply practicing so that he can begin to use it for everyday writing. I just give him a sentence in manuscript and he has to write it in cursive (i.e. without modeling).

-- AnneDwyer - 23 Jun 2005


OK, Anne, the stuff at the top is gone. (Phew!)

Can I take out the stuff at the bottom as well?

-- CarolynJohnston - 23 Jun 2005


Carolyn,

Take out the stuff at the bottom too. I am about to update with my latest class stuff.

-- AnneDwyer - 24 Jun 2005


Wow!

Your page looks beautiful!

-- CatherineJohnson - 27 Jun 2005


Anne--don't worry about formatting if you don't want to!

Also, if you want me to add white space, etc., after you've written, I can do it.

It gets fast after awhile.

-- CatherineJohnson - 27 Jun 2005


Hi Anne,

I was curious about the Read Naturally program for your son. My son has similar issues and reading just seems to be regressing a bit each year. We do make him read and we also read to him. How is this program different?

My son also has a major writing disability. Developmentally, we were lucky that he could print at all. They just skipped trying to teach him cursive in the 3rd grade probably due to the time it would take and the question of whether he could do it at all. I taught him later in the 5th grade when he could handle it better. He still only prints, but I wanted to make sure he could read cursive. So many things are in cursive including many teacher's notes on the board. It seemed like omitting this was just one more thing to make him stand apart from everyone else. Even though he doesn't prefer to write in cursive, I think it helped to use his hand in that way. (My son also draws like yours, very preschool.)

Thanks again for your page!

-- SusanS - 27 Jun 2005


Susan,

Read Naturally is a program that I love. All of the stories are graded by grade level. The stories fit (mostly) on one page and are on a variety of topics. There are fiction and non fiction stories. The major ideas is to increase fluency of reading. So the student does a 'cold read'. You record the number of words - errors. Then add 30 words per minute. (So, for example, if they read 60 wpm in the first cold read, the goal is now 90 wpm.) Then the student listens to the story on tape and reads along with it. When he reaches his goal, he has to answer some questions and retell the story. Then he can go on to the next story. For someone like my son who is very rules oriented, he likes the certainty of knowing what he has to do everyday. He is going into 6th grade, and he is on 4th grade Read Naturally. The stories go by half grade and there are 23 stories per half grade.

I am very interested in any research on drawing and disabilities, especially in autistic spectrum children. I am always looking for information that could jump his level of abilities. I am wondering if teaching him to draw would help at all. If you have any sources, let me know.

-- AnneDwyer - 27 Jun 2005


Anne--If you'd like me to put in the links to your books, let me know.

-- CatherineJohnson - 27 Jun 2005


We need to start an ELA page, and probably some kind of LD page, too.

Where can people go to order Read Naturally?

-- CatherineJohnson - 27 Jun 2005


Anne--Is this the book you're using?

Singapore Primary Math 2A Home Instructor's Guide By: Jennifer Hoerst

There's a sample (pdf file) here.

-- CatherineJohnson - 27 Jun 2005


Yes, I'd love to try out that Read Naturally program.

As far as drawing, I've done a little with Mona Brookes book, Drawing With Children. The art in school tends to look like one grand project after another. No one really learns how to actually draw. Some of the ideas in the book looked very intriguing to me, but I have never gone full force with it. I was almost an art major so that part of my brain works perfectly fine (it's the math that I can't do.) Anyway, check it out. There are instructors trained in this method of teaching to children, but the nearest one to me was a bit of a hike. Still, I'm thinking of giving one of the kid's classes a try. It is designed, however, for you to do on your own or with you children.

-- SusanS - 27 Jun 2005


Okay, where'd that little mini font come from?

-- SusanS - 27 Jun 2005


I wasn't crazy about Mona Brookes, only because ... too much self-esteem! (And the whole book was just too confusing for me. I've got so much to keep track of as it is, I didn't want to wrestle with it.)

So don't listen to me; people love the book. (Brookes definitely follows my rule about books that stay in print forever.)

I love Betty Edwards, and had Christopher do one 'grid-drawing' of Homer Simpson that worked out great. (He wasn't too keen on it; the drawing worked out great.)

The great thing about grid drawing is that IT IS MATH.

Ed said as soon as he saw me do a grid drawing he understood how, back before photography, newspapers could get full drawings of trials out the next day.

Obviously, each artist took one square in the grid and drew that.

-- CatherineJohnson - 27 Jun 2005


The mini font keeps coming from me.

Sigh.

-- CatherineJohnson - 27 Jun 2005


I was going to add that Betty Edwards isn't a 'grid drawing' person. Her lessons are much more interesting and complex than that.

But I naturally started using grids from my first day in her class.

-- CatherineJohnson - 27 Jun 2005


This looks like the Read Naturally web site -- right?

-- CatherineJohnson - 27 Jun 2005


I agree about the self-esteem part. I think that's why I put it down after a while. I did like the idea of the basic shapes in every picture. Kinda' took some of the mystery out of it for my kids. It did get very complicated very fast.

Is Betty Edwards a course? That sounds interesting.

-- SusanS - 28 Jun 2005


Susan, Betty Edwards is 'drawing on the right side of the brain'. Very good stuff. (I learned how to draw from that book).

I have Mona Brookes' book -- never used it much though.

-- CarolynJohnston - 28 Jun 2005


Betty Edwards is completely and totally fantastic.

Yup, I had the exact same experience.

I had both books, but the one I used was Betty Edwards.

-- CatherineJohnson - 28 Jun 2005


Here are a couple of web pages on grid drawings:

http://drawsketch.about.com/od/drawinglessonsandtips/ss/griddrawing.htm

http://www.portrait-artist.org/basics/newbie3.html

I've been planning for a year to buy a "Durer" grid from ... what the heck is that company?

Sigh.

-- CatherineJohnson - 28 Jun 2005


Here it is!

The Durer grid.

I want one.

-- CatherineJohnson - 28 Jun 2005


Whew!!! I am trying to keep up with all the discussion.

I checked out Catherine's link to Read Naturally. That is the program. Now they have a home version which is great. Daniel's teacher gave me some stories to take home for the summer. The home version looks affordable and is something that would be great for the summer.

We definitely need an LD page or something like it since their needs are so much different from other kids. (BTW, what is ELA?)

The whole art and drawing issue came up during a discussion with some of Daniel's teacher. She commented that all of her ASD students draw the way Daniel draws. We started talking about lessons and went to the Far Conservatory website in Michigan. This is the philosophy of the Art Therapy. "Art therapy is the use of non-verbal expression with art materials to foster mental and physical health through self expression." And it hit us that non-verbal communication is one of Daniel's biggest weaknesses. However, his biggest weakness by far is fine motor skills. So, putting this together, we thought maybe learning to draw would help with both issues. That's why I was wondering if there is any research on the connection between drawing and improved non-verbal skills.

I do have Betty Edwards book. I did try to learn to draw. If I took a lot of time and concentration, I could come up with a serviceable picture, but I never enjoyed it enough to continue. It was just too hard for me. But thanks for all the recommendations. I will check them out.

-- AnneDwyer - 28 Jun 2005


'ELA' is the acronym people use here for "English Language Arts."

Do other states use it?

-- CatherineJohnson - 28 Jun 2005


I'm very interested in LD.

I'm going to try to teach Andrew some math this summer...I don't have a clue how his mind works...but apart from that I'm fascinated by the question of how-and-why an LD child 'forgets' knowledge he used to have.

I mentioned that I know a child like this. He's a perfectly smart kid, and in 9th grade his parents had him tested and his math was at, I think, a 3rd or 4th grade level.

His mom said the problem isn't that he can't learn multiplication and division: he learns them...but then they're gone.

-- CatherineJohnson - 28 Jun 2005


Along with my 5 billion other things to-do, I REALLY need to finally take advantage of the free audit of a neuropsych course a friend of mine offered. (I'm not sure how much will be on LD, but I need it, anyway.)

-- CatherineJohnson - 28 Jun 2005


I'll pull Anne's comment up front later on.

I always like to leave Carolyn's posts on top for awhile, since she writes at night, after she gets home from work.

-- CatherineJohnson - 28 Jun 2005


Also, in theory, I am going to DO SOME OTHER THINGS today.

-- CatherineJohnson - 28 Jun 2005


I still have to read this whole thread!

I was wondering if there is any research on the connection between drawing and improved non-verbal skills.

I am VERY interested in this question.

I have now had 3 different mathematicians (was it 3? I think so...) tell me that they deliberately learned to draw to improve their mathematics, specifically their spatial-visual ability.

It never occurred to me that drawing might be related to nonverbal IQ etc....but I'm convinced there's something important that drawing does for us.

The fact that ALL children draw NATURALLY tells me there's something important going on.

Meanwhile Christopher just had a screaming fit (I HATE YOU I HATE YOU) because I told him he can't watch TV first thing in the morning.

-- CatherineJohnson - 28 Jun 2005


And I am beginning to agree with Catherine on the whole flash card thing. They really need to do pencil and paper calculations. And it turns out, they like that stuff the best anyway!!!

WHY IS THAT???

I don't get it at all.

Flash cards are a time-honored teaching tradition (aren't they? am I wrong about that?) ... and I used them fairly religiously with Christopher, I think.

I think he improved, but he shot ahead once he was using paper and pencil worksheets.

I'm telling you: paper and pencil are the Ultimate Manipulative.

-- CatherineJohnson - 28 Jun 2005


They wanted to have a 'race' so I took out my mad minute sheets. These are 30 simple addition problems on one page and they have one minute to do it.

Kids LOVE races!

That was the biggest surprise to me in my Singapore Math class--not that the kids loved races, but that they didn't get upset about losing them.

-- CatherineJohnson - 28 Jun 2005


This is incredibly helpful.

I can tell I'm about to go buy that darn math games book...

If I don't re-tool and become a math teacher (NO! A MATH CONSULTANT!) I'm going to be asking myself WHY 10 years from now when I stare at my wall full of elementary math books.

-- CatherineJohnson - 28 Jun 2005


Oh yay.

Christopher just came down and said, 'I'm sorry for what I said.'

(He said, and I quote, I HATE YOU I HATE YOU.)

-- CatherineJohnson - 28 Jun 2005


That LD here today, gone tomorrow has been a nightmare from day one for me. Sometimes you think they're jerking you around (they are children, after all) and then you realize that "it" is just gone for that day, or minute, or week. If, as parents, we're frustrated, think of how the rest of the world views those behaviors.

I have some theory that I play around with in my head that there are these three memory banks in my LD child's brain: short, middle, and long-term. Access is denied to each one until the bit of info is firmly planted in the other one. Sort of a Pilgrim's Progress kind of thing, only more harrowing. Short term is the most difficult especially if your kid has ADHD on top of it, which mine does. And that's just for fact-collecting. I have no ideas on higher-ordered thinking. Just when I give up on my son he makes some breakthrough that proves that he is still going forward.

But then my theory is blown to bits when he comes up to ask me about some obscure restaurant that we went to 2 years ago while coming back from vacation. He'll tell me the name and exactly the desert that we had. "Don't you remember, Mom?" Now, what exactly is that and how do I bottle it?

-- SusanS - 28 Jun 2005


I'm going to have to recruit my friend Lissa, with whom I go months being out of touch, to tell us something about this.

She's a psychoanalyst & educational psychologist who wrote a book with her son, David, who has dyslexia.

Reading David: A Mother and Son's Journey Through the Labyrinth of Dyslexia by Lissa Weinstein, Ph.D. &, I think, David Siever. (I hate the way Amazon leaves off the second author; my name isn't listed on SHADOW SYNDROMES. The beauty of Lissa's book is that she wrote it with her son.)

She worked so well with David that he probably no longer has dyslexia. His brain changed.

I'm going to have to rally John (Ratey) to the cause, too.

-- CatherineJohnson - 28 Jun 2005


But then my theory is blown to bits when he comes up to ask me about some obscure restaurant that we went to 2 years ago while coming back from vacation. He'll tell me the name and exactly the desert that we had. "Don't you remember, Mom?" Now, what exactly is that and how do I bottle it?

Andrew, who is autistic, has this kind of memory.

It is miraculous.

I'm supposed to know more about this than I do, btw...(here's where we see my own forgetting...)

I got a very interesting article on memory yesterday that I'll try to post about later--

-- CatherineJohnson - 28 Jun 2005


Ben, who has some autism spectrum disorder, also has that kind of perfect-recall memory.

-- CarolynJohnston - 28 Jun 2005


Daniel, asd also, has perfect recall. For everything. He is a huge football fan. Any fact that you want to know about football, ask Daniel and he will know. Also, he can look at things just once and remember them.

The problem with becoming a math teacher is that you have to teach what they tell you to teach. How would you like to teach Trailblazers or Connected Math? Or the integrated high school math? I couldn't do it.

-- AnneDwyer - 28 Jun 2005


I don't know. Some of the math teachers in some schools have latitude to refuse to teach from something they don't like. InterestedTeacher is an example from the private school world -- but at least two of the public schools here have opted out of teaching Connected Math (thank goodness).

I don't know how much political capital it took though.

-- CarolynJohnston - 28 Jun 2005


I've thought about becoming a teacher.

I come from a long line of teachers, and my writing really is teaching.

For me, teaching is probably 'in the blood,' as Carolyn would say.

Ed's relatives talked me out of it. He has one who teaches math in Evanston, and another who teaches science.

They said teaching is a burn-out job, and I think that's probably true, given the way teaching is structured as a job & career.

They both pointed out that you don't see a lot of old teachers.

So.....if I'm going to do anything in the teaching realm I'm going to have to find my own way.

-- CatherineJohnson - 01 Jul 2005



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I'll keep you posted.


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Click here to read comments made on this page prior to July 1st, 2005.


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Let me add one more thing that I have learned: You cannot work on mastering addition and subtraction facts in a once a week class. These have to be practiced with pencil and paper everyday until they are mastered. But you can introduce games and exercises that interest them and require them to use the addition and subtraction facts and give them a feel for the language of mathematics. That is what I am going to concentrate on for the rest of the class.

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Summer Program Update July 1, 2005


I used the color purple for my heading because purple is my daughter's favorite color and today's update starts with her.

Today, she had a playdate with a girl in her summer math class. We went to the pool. Afterwards, they were eating a snack. Do you know what they asked to do???

Mad Minute

That's right. Mad Minute on a playdate for no reason other than the sheer joy of a math race. Now that tells you that kids don't find drills boring at all.

As for my son, he has been amazing this summer. He is more than half way through 3B in Singapore math. Almost half of 3B is devoted to the cool problems that Catherine talked about in her post. He is learning the metric and English measuring systems. He has to measure length and capacity (we are cheating on this) and read weight scales (hard for him). Then he has to add and subtract in those measuring systems. Capacity is next. But right now, we are finishing off a unit with word problems. They are multistep and he is getting them!!

Next, we are going to do some hands on research on the topic of learning to draw. My daughter bugs me all the time to take her to the local mall to see the puppies in the pet shop. This time, there was a new place (not strore) call Art Experience Inc.

I go in to look around and find that they are a non profit group that specializes in teaching art to developmentally challenged children and adults. They actually have an artist in residence who is autistic. All of the staff is trained in art therapy.

I told them about Daniel and they are eager to meet him. They want to talk to him and get a feel for what he can do before they put him in a group. They want to make sure he will be successful!

I talked to Daniel about it and he is wary. He doesn't want to give up an afternoon at the pool for art class. But he is willing to go in a meet the teachers. And Erin is happy because she gets to visit with the puppies.

I'll keep you posted.



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-- CarolynJohnston - 28 Jun 2005
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I've thought about becoming a teacher.

I come from a long line of teachers, and my writing really is teaching.

For me, teaching is probably 'in the blood,' as Carolyn would say.

Ed's relatives talked me out of it. He has one who teaches math in Evanston, and another who teaches science.

They said teaching is a burn-out job, and I think that's probably true, given the way teaching is structured as a job & career.

They both pointed out that you don't see a lot of old teachers.

So.....if I'm going to do anything in the teaching realm I'm going to have to find my own way.

-- CatherineJohnson - 01 Jul 2005


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  • they prefer pencil and paper exercises
  • they like to figure out puzzles

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Until next time, if anyone has any ideas/suggestions, just post me a comment.
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Until next time, if anyone has any ideas/suggestions, just post me a comment.

Summer Math Class Day 3


I thought today went better than any of previous classes. I put my three main conclusions (see previous day) to work.

Everything we did was pencil and paper. They either competed against their own score or another student or student group. The upshot: not one child said they were bored and I had to tell them when class was over!!!

Erin, of course, said she did not enjoy herself.

Let me add one more thing that I have learned: You cannot work on mastering addition and subtraction facts in a once a week class. These have to be practiced with pencil and paper everyday until they are mastered. But you can introduce games and exercises that interest them and require them to use the addition and subtraction facts and give them a feel for the language of mathematics. That is what I am going to concentrate on for the rest of the class.



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-- AnneDwyer - 28 Jun 2005
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I don't know. Some of the math teachers in some schools have latitude to refuse to teach from something they don't like. InterestedTeacher is an example from the private school world -- but at least two of the public schools here have opted out of teaching Connected Math (thank goodness).

I don't know how much political capital it took though.

-- CarolynJohnston - 28 Jun 2005


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-- CarolynJohnston - 28 Jun 2005
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