Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Sunday, September 8, 2013

Math Is Hard If Trees Can't Grow In Volcanos


As discussed in previous posts, some people experience a form of synesthesia called Ordinal-Linguistic Personification or OLP. From what I have read on Facebook pages where synesthetes share their experiences, people with OLP have very strong and specific experiences of numbers and other similar ordinal things--days of the week, for example--as personalities. Another thing that stands out reading about other OLP synesthetes' experiences is that this personification can cause some synesthetes problems in math.

Last summer, Meredith began to spend time with a new friend. As they spent more time together, I began to observe many traits in Meredith's friend that suggested she might have synesthesia. In asking her a few simple questions (I almost always start with, "Do your days of the week have a color?" as that seems to be one the most common forms of synesthesia), it became pretty obvious that she was very synesthetic.

As the three of us discussed the girls' similarities, we began talking about numbers and math. Both girls said that they had a terrible time with math facts. However, it was clear that both girls were intellectually advanced in other areas. I confirmed with the friend's mother that this was the case. On educational testing, both girls scored very poorly on math facts, but very high in math concepts. That seemed very peculiar to me and I was exploring with the girls why that might be.

I asked them how their OLP/synesthesia interfered with math facts. Meredith's friend quickly came up with an example. To her, number nine was a wise, old tree and zero was a volcano. She explained that if she has to add nine plus zero, she comes up with nothing, or zero, because she knows that trees don't grow in volcanoes. She told me in a very sincere manner and had a look on her face as if she was hoping I could shed some light on how she could get around this fact that was very real for her.

She offered a second example. When she would have to add two numbers together and the sum was a different color (in her mind) than the combination of the two numbers' individual color, she would be confused. For instance, if she saw 5 as blue and 6 as red, she would expect the answer (11) to be purple. But for her, 11 is yellow. She told me that once a teacher was helping her and she told the teacher, "...but the answer is yellow," and after her teacher gave her an odd look, she dropped it.


Bringing these examples to the fore and discussing them, I sensed that for the first time, Meredith's friend realized that this personification may be the reason why she has struggled with math facts. It was as if a lightbulb went off and she was able to look at her experiences from outside herself. We talked about ways she might be able to get around her issues with the wise, old tree and the volcano. Maybe she could figure out certain scenarios in which trees could grow in volcanoes. I brought this issue to the staff at their school which they now both attended. I was happy to hear that instead of trying to "cure" this issue, they worked with Meredith's friend's personal framework. Her friend began writing different story lines and scenarios for those math facts that confused her.

I asked Meredith if she remembered a time she said something to a teacher about some synesthetic experience and received an odd look. (It seems relatively common that synesthetes have some early negative encounter with a friend, parent, or teacher after sharing something about their unique synesthetic experiences and that may be one reason they keep it to themselves from that point on. For example, once I was at a party and a guy brought up the fact that his wife always makes fun of him because he says his letters and words have different colors. His wife jumped in and said something to the effect of, "I know! Isn't he just silly?!?" That was a fun moment for me to inform her that no, he was not!) Meredith told me that in second grade, her teacher was holding up flashcards with the different vowel sounds on them (e.g., short a, long a). The class was supposed to say the correct pronunciation of that particular vowel sound out loud when the teacher flashed the card. But when the teacher held up the "short a" flashcard, for example, Meredith would say, "Red," as she sees the letter A as red. Meredith laughed because she said her teacher would just keep holding the flashcard closer and closer to her face hoping to elicit the correct response from her.

It seems to be a surprise to most synesthetes that not everybody experiences the world like they do with different synesthetic experiences. After all, most people probably assume that everyone thinks more or less in a similar fashion and thus, never question it as being "different." In my experience with my family, friends, and other people I have met or read about online, learning that they experience the world a little differently than most due to their synesthesia allows them to bring their unique experiences to the foreground for the first time and perhaps gain some insights as to why they may have felt different at times or had some confusion. Many have expressed relief that they now really understand what is going on.

With child synesthestes who struggle in school, I believe that recognizing their synesthesia is very important in preventing any roadblocks to their school success and self-confidence. As I wrote in an earlier post, Meredith was finally able to figure out how to get around her number personalities distracting her in math class and as a result, her math scores have increased significantly. Perhaps she would have eventually figured it out on her own, but I believe if she can be an active participant in that process and make it happen sooner rather than later, she will be better off. She would experience less confusion, stress, and falling behind in school. That is why I am passionate about spreading the word about synesthesia and how it may impact a child's learning and school experience.

Tuesday, April 2, 2013

Getting Your Numbers Out of the Way for Math Class


As I discussed in previous posts (here and here), Meredith's numbers are characters.  This is a form of synesthesia called Ordinal Linguistic Personification, or OLP.  From what I've heard from other synesthetes, OLP can sometimes make math harder in the sense that the numbers are distracting to the task at hand.  For example, some numbers might not get along, so it is uncomfortable to add them together. Or maybe the numbers are in the middle of a cooking competition and are divided up into teams (as once was the case for Meredith); so when two numbers who are on different teams need to be added together, it doesn't make sense.

Recently, however, we've noticed that Meredith seems to be having a much easier time in math. When asking Meredith about this, she said that she finally figured a way to get her number characters out of the way so that they don't distract her anymore.  Before she goes into math class, Merebith and Dogot line up all the numbers on one of those "hold-a-ring walking ropes" used in preschools and walk the numbers into a closet, where they remain until class is over!  Apparently the numbers are pretty gullible and easy to manipulate.  When math class is over, all the numbers pile out of the closet and usually most of them are gasping for fresh air since one of the numbers has a little problem with gas...    

Tuesday, December 4, 2012

Numbers as People


I recently wrote a post about Math as Characters.  As a follow-up, I wanted to post a picture that Meredith drew me a few months ago...I just found it.  It shows her numbers zero through nine as she thinks of them, including their color.  Perceiving numbers, days or the week, or other sequential items as people is called Ordinal-Linguistic Personification, or OLP.  It is a subtype of synesthesia.

I will try to describe her numbers' personalities the best I can here.  She could probably write pages about each number since they have many independent stories.  For one example, once they had a cooking competition among themselves that lasted for a few weeks.  They divided up into groups and they each had one type of food to work with.  Merebith and Dogot were the judges...

Perceiving numbers, days or the week, or other sequential items as people is called Ordinal-Linguistic Personification, or OLP.  It is a subtype of synesthesia.

1 - God Boy  Since he is "number one" or "numero uno" as they say, he is pretty full of himself.  He has a halo and wings.

2 - Confused Girl  She is confused because she is made up of both curves and straight lines.  She's kind of dumb.

3 - Partyboy Boy  Since he's made of curves, he's really fun and hyper.

4 - Normal Girl  She is holding a snail that is branded with the number four.  All of her snails are branded with the number four because they are like her "herd."  She's pretty average because she is made of straight lines.

5 - Cool Boy  He's cool because he has a "cool" curve.

6 - Lonely Girl  She is lonely without her number 1 because she likes to be with other people and her favorite number is 16.  She is in a wheelchair because she is clumsy without her partner (number 1).

7 - Innocent Boy You can tell he is innocent from his little propeller hat and ice cream cone.

8 - Twin Boys  They are named twin boys because they are conjoined twins. The smaller brother sits on top of the bigger brother. Their symbol is Gemini.

9 - Alien Girl Alien Girl is a tom-boy. She is always CRAZY!!!* She annoys everybody.

0 - Fun Boy He is hyper and likes being happy.


*Meredith wrote that as you can tell by the use of color!

Monday, November 12, 2012

"But Dad Isn't a Lady"








Meredith recently switched groups in her school.  She was very anxious about this change for the first couple of weeks, afraid that the group would be too hard for her.

One morning, however, Meredith said that she was doing better in her group than she thought.  Excitedly, she asked me to give her two numbers.  "Why," I ask.  "Just give me two numbers...two big numbers," she insisted.

After giving her two numbers that met her satisfaction, she began doing mental math and mumbling this and that.  Finally, she sputtered out the answer and was very satisfied with herself.

"But what were you solving?  What was the problem?"  It took a number of times going back and forth for Meredith to articulate what exactly it was that she was doing in her mind.  I finally ascertained it was the Pythagorean Theorem.

So often, Meredith doesn't realize that people can't follow her thoughts and she gets irritated with the fact that she has to explain things to people.  Sometimes, she'll only say three words and trail off into silence, leaving the listener waiting for the rest of her thought.  Then when you ask her what she was saying, she'll say, "Didn't I say that out loud?" and laugh at herself.

I relayed to the Head of School that Meredith was finally feeling very confident in her new group and was very excited about the higher level math.  It was surprising, although not unexpected, that higher level math was almost easier for Meredith than easier math.  Apparently this is not uncommon for visual thinkers like Meredith who thrive on complexity.  The Head of School asked me to remind him what my husband did for a living and after I told him that he manages complex reverse logistics operations, he told me that some day Meredith will be a powerful young lady like her Dad.

Guess what Meredith said in all seriousness after I told her this?  "But Mom, Dad isn't a lady."  Language processing issue: check!

Monday, November 5, 2012

Math in Characters

I finally got around to reading Born on a Blue Day by Daniel Tammet.  Daniel is a well-known autistic savant and synesthete--a savant unique in his abilities to describe to others how he thinks.  In his book, he describes how numbers have always been a very important part of his life.  He explains that he experiences each number as having shape, color, emotion, and personality.  He also explained that he found algebra difficult because for him, letters do not elicit the synesthetic response as numbers. 

Because I know Meredith's numbers are characters (see this post), I asked her if they caused her any difficulty with math problems.  She told me, chuckling, that when doing subtraction one of the numbers is "taken away" to "juvie" (i.e., juvenile jail).

I know that algebra tends to be difficult for visual thinkers and asked her what happens when letters are introduced to math problems.  She said that her letters are characters, too.  The letter a, for instance, is a girl (in the shape of "A") wearing a fancy A-line dress.  The letter x is a criminal. 

She said that actually, Merebith is doing diagnostics on an algebra equation at the moment.  She is trying to figure out how Meredith solved a really long algebra equation when she had trouble solving a very short one.  Chuckling again, Meredith said that Merebith and Dogot are playing good cop, bad cop with the numbers in the equation.  She said it's like an old black and white detective movie where the police question the suspects: "Where were you at 12:00 yesterday..."

Merebith is shining a bright light on the suspects.  They first questioned number two, who is actually a cloud.  But because he could only sputter out thunder and lightening trying to answer their questions, they let him go.  Dogot is wearing the police hat he took out from his extensive hat collection and is using this really funny, deep robot talk, trying hard to act like a bad cop.

So I suppose it is safe to say that because Meredith's numbers are characters and each equation has a storyline factors into why Meredith often finds learning math frustrating, despite her teacher's response that she has a lot of potential in math.  I imagine that Meredith is trying to reconcile how math is "supposed to work" with how Merebith diagnoses how math works.


I'm really looking forward to reading Daniel Tammet's newest book: Embracing the Wide Sky.

Tuesday, February 28, 2012

Look to Mental Pictures to Judge Emotional States


Yesterday, Meredith had a bad day and came home crying saying that she was depressed.  She even missed her soccer game because of it.  The problem was that I couldn't pinpoint the source of her emotions. It's not as simple as asking her what is wrong, because often she can't find a way to express her emotions and asking her sometimes just makes her that more upset. Usually she will show that there is a problem by crying, refusing to do anything I ask her to do, getting upset with any little inquiry or suggestion I make trying to help her, and being very over reactive to any minor stress. In these situations, the only thing that I have learned to do is to give her lots of space, remove any stresses, and provide opportunities to refuel her right brain like drawing, watching TV, listening to music, or playing with her dolls.

So, she watched lots of TV, drew me a picture, sang and danced in her room, and had lots of good snacks.  I didn't insist she go to her soccer game, do any chores, and made sure her little brother stayed far away.  After dinner, she came into my room and we were able to talk rationally about what was bothering her.  She had mentioned a few times last week that she was struggling with some math concepts--the relationships between fractions, decimals, and percents in particular--so I thought this could be it...especially since I knew these are generally difficult concepts for a visual thinker like Meredith to grasp.  And sure enough, that was it. 

Meredith said that she just doesn't get the concepts and can't process what her teaching is saying.  She has always struggled with these concepts in math.  She says that all she hears is "Blah, blah, blah."  Not in a disrespectful way at all--just that she literally can't process what she is hearing; it doesn't mean anything to her.

Over the last few months, I have learned a really good way to judge how Meredith is feeling or what problem she is experiencing by asking one simple question: "What's Merebith doing?"  Meredith told me that during math class last week, Merebith was in a coma being kept alive by a machine.  And because Merebith is Meredith's "Control Center," (according to Meredith) no learning was happening...the factory was closed essentially.  That gave me a pretty good idea about how math was going for her lately and what her emotional state was.  Merebith always displays an exaggerated version of how Meredith is feeling--she's like a cartoon character in that way.  This exaggeration is really helpful because it leaves me little doubt as to what Meredith is feeling!

I know that Meredith really enjoys geometry (hello again visual-spatial strength!) and so as a contrast, I asked her what Merebith does when she is doing geometry.  Meredith told me excitedly that Merebith wears a T-Shirt that has a lot of colorful shapes all over it and the words, "Math Rocks!"  She also wears a visor and has a pencil tucked behind her ear.  Usually, Merebith is furiously doing math on her paper because she loves it.

Continuing with this topic, I asked her if Merebith acts in any peculiar ways if she is having trouble or having a lot of success in other subjects at school.  The one thing she told me was that in Language Arts, a lot of the time Merebith has a frog stuck in her throat.  Merebith gets a frog stuck in her throat when Meredith is trying to figure out what a particular figure of speech means (Meredith understood the irony that Merebith is acting out a figure of speech during these times).  Until Meredith understands the figure of speech in question, Merebith continues to choke and Dogot uses the Heimlich Maneuver (in his robotic nature) to try to dislodge the frog.  Once Meredith understands what the figure of speech means, Dogot successfully dislodges the frog from Meredith's throat and it goes flying across the room and hits a wall--splat! 

At least I know that Meredith understands irony...

Thursday, February 2, 2012

Love Taking Over This Visual Thinker


A young lady that I know very well, who will remain nameless for fear of embarrassing her, has been developing a crush on a boy for quite awhile.  When her mother picked her up from school, the young lady hesitated but then said, "I think I'm...I think...I think I'm in love," as if she finally succumbed to the illness.  The young lady said that when she looked at her name on her math paper earlier that day at school, she suddenly saw her name transform into the name of the boy she likes.  She said that now whenever she looks at a word, she sees the word transform into his name.  Not only that, his name is in the font and color of the word she is looking at.  The drive home from school is through an urban environment where there are lots of store signs, billboards, etc.  At one point, half giggling and half exhasperated, the young lady had to put her head down so she wouldn't have to see his name all over the place!

Then the young lady continued with her story and told her Mom that also during math class, she suddenly "woke up" from being in her own little world and found her paper filled with hearts that she didn't remember drawing. There was one giant heart with the boy's name written inside of it. She said that she was sort of talking to herself trying to figure out what had just happened. Her classmates were puzzled at what she was talking about.

I hope for the mother's sake that this phenomenom doesn't continue for it would sure be hard to explain why her daughter has been so distracted in class.  "Well, you see...when she looks at words, all she can see is this boy's name..."  I'm sure that will be a first!



Thursday, January 19, 2012

All in the Family

Although the focus of the blog is on my daughter Meredith, I wanted to tell you about my son Tyler as well.  Although (so far) Tyler does not seem to possess the same visual processing style as Meredith and my husband with the filing cabinets and assistants, he certainly shows signs of having pretty exceptional visual skills.

When Tyler was six, we walked into the living room to see him quietly drawing away on a piece of paper.  He had been watching Star Wars, but paused it on a frame of Yoda.  When I looked at what Tyler was drawing, I was shocked.  This is what he drew:



Now, I realize I'm Tyler's Mama and as such, I'm hugely biased.  But even trying to keep my objective hat on, I think this drawing is pretty remarkable for a six-year old.  I'm not sure too many adults could draw that off the tv with such symetry.

Here is another example of a Pokemon character the Tyler copied from a book at the same age:


And just today, Tyler told me that he does in fact have some colors for letters and days of the week, indicating that he is also a synesthete (i.e., someone who experiences synesthesia) like Meredith (see this earlier post on Meredith's synesthesia).  Just for the record, Tyler said his days of the week are colored as follows: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.  He described his letter "a" as illustrated below.  Tyler spent time with me on the computer to get the turquoise background, the font for the letter "a", and shadow on the letter just right.  I find it interesting that it is three-dimensional.  As with most synesthetes, the colors and details are very, very specific.  That's usually how I know that someone is actually "seeing" the color and not just making it up. 


I'm going to keep this as a record and see if it remains stable over time.  If you are a synesthete, you too can record your synesthetic experience for a large study called the Synesthesia Battery that Dr. David Eagleman is conducting at Baylor College of Medicine in Houston. 

I once corresponded with a doctural student in England who studied at what age synesthesia emerges in children.  She found that it seems to emerge in the early elementary years.  This could be why Tyler never said he had colored letters before, but now he does--he's now in Second Grade.

This discussion about Tyler illustrates two points that I want to share with you:

     (1) Visual thinking is genetic, and
     (2) Sibling IQs are closer than you think.

Dr. Cheri Florance says that brainprints -- or basically the way you think -- is genetic to some degree.  It is very commonplace that if there is one predominantly visual thinker in a family, there will be many more. Take my family, for example. My father was an electrical engineer and designed nuclear plants. My mother was an English teacher, but also is a talented watercolor painter. My oldest brother is a brilliant engineer and mathemetician as well, and my second oldest brother is a talented architect (hello visual-spatial talent!). I have had various positions and interests, but have been drawn to the visual arts as well with photography (www.angelaeatonphotography.com). My youngest sister has found her niche in nature study and also has various visual arts as hobbies (www.montanapulpworks.com).  Those weren't shameless plugs--just wanted to give you something to look at!

Doctors, engineers, mechanics, artists, hair stylists, graphic designers, computer programers, first responders--these are all examples of highly visual career paths.  It is interesting to look at people's hobbies as well.  If you have a highly visual person in your family, look at a little closer at the family picture to see if you see this trait more often than not.

To my second point, Dr. Linda Silverman (the person who coined the original term "visual-spatial") explains that siblings generally are within 5 - 10 points of each other's IQ scores (go here for more information).  I mention this because I think it is very common for parents to say that one of their children is gifted and the other is not.  Dr. Silverman discusses how often the second child will have very similar traits, but because they compete with the first-born child to some degree, their gifted traits may manifest themselves differently.  It is worth giving your "non-gifted"children a second look!



A note on "gifted."  Who really knows what gifted means.  There are many different definitions by many different institutions.  I don't like to toss that word around and proclaim to the world that I have "gifted kids."  What I have found, however, is a pretty high correlation with what I'm reading on the "overexcitabilities" and high-intensity nature of gifted kids and my own kids.  I have found the literature on the emotional needs of the gifted to be extremely helpful in dealing with my kids.  It is really in this context that I talk about gifted.