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Brain Science Offers New Look at Teaching Math

aristotle and math“The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.”   – Aristotle

 Aristotle appreciated math. So do my husband, father-in-law and sister-in-law. They made it their livelihoods. As for me…well, if push came to shove, I’d plead The Fifth.

However, I did read a well-written essay by Benedict Carey, titled “Studying Young Minds, and How to Teach Them.” It appeared as part of a series in The New York Times last month. Unfortunately it was published on Dec. 20 – just a few days before Christmas. I doubt it got the notice it deserved, but I found it fascinating and think teachers and parents will find it and the rest of the series interesting too.

 Carey talks about how cognitive neuroscience research is challenging the way educators have traditionally taught math and other concepts to young children. While some of these findings may have trickled their way into the classroom, I think the information bears repeating. Numerous brain science studies and researchers are cited, as well as a few teachers who have incorporated these new ideas into their classrooms through fun math games, activities and reading. 

Teaching is an ancient craft, and yet we really have had no idea how it affected the developing brain,” said Kurt Fischer, in The New York Times article. Fischer is the director of the Mind, Brain and Education program at Harvard. “Well, that is beginning to change, and for the first time we are seeing the fields of brain science and education work together.” 

For those of you on the front lines in the classroom, please weigh in! Give the article and its readers’ comments a look and then offer your feedback here. Does this article resonate with you? Are you applying any of these principles in your math curriculum? Or are your hackles up? I’d like to hear what you have to say.

 If you are looking for some basic math concept picture books, Big Universe offers about two dozen online options from its publishing partners. Members also have created many volumes about math and counting, and you and your students can do the same

Dealing with Death Through Books

Grandpas BoatHaiti has hit me hard. I can’t stand suffering, sadness and the plight of the marginalized. It’s hard for me to make sense of the tragedy on that island nation – and I’m an adult. How much harder it must be for a child to process images on TV and stories they hear at school.

 Of course we can turn the channel when little ones are in the room and tuck newspapers and magazines out of sight, but sometimes death and dying become very personal. A friend’s mother dies. A teacher gets cancer. A grandparent has a heart attack.

 Tragedy stands at the doorstep, and we must deal with it the best we can. Hugs, prayers and a listening ear are the first line of defense. Diversion has its place and so does role playing with dolls and toys.

 I can remember my oldest daughter doing just that with her Playmobil zoo set after watching “The Lion King.” We had strictly monitored her TV watching, but had scooped up a copy of this movie, because she loved lions. Unfortunately we failed to recognize that to her, those animated characters were REAL. That’s when she first learned that loved ones can die – even big strong daddies like Mufasa the lion. (Cue the mommy guilt.)

 We talked to her  and reassured her, but she coped in her own way – by incorporating the topic of dying in her pretend games with her stuffed animals and zoo set. Her younger sister was able to stay naïve a little longer – that is until Sept. 11, 2001. She learned about the tragedy in New York City at school from other kids. When she got home and walked in while I was watching the news coverage, she thought MORE planes were flying into MORE buildings. (Mommy guilt, Part II.)

 I think it’s only natural to try to shield our children from the harsh realities of the world – if only for a short while. However, when troubles come, I believe in naming them and beginning the process of dealing with them. I’m not a fan of sweeping things under the rug. Current events – even the bad ones – can be a learning tool.

 Talking and praying were givens for us. Books also proved valuable in helping our kids cope with the fragility of the human condition. They provided a forum for discussion, and the physical contact of sitting on our laps gave comfort. The warmth of our voices soothed away fears and reinstated a sense of safety.

 Michael Catchpool’s picture book  “Grandpa’s Boat”  (Andersen Press) is a warm story that encourages readers to remember loved ones who have passed away and to celebrate their lives rather than forget. The illustrations by Sophy Williams capture the love and happy memories that death can not touch.

Bestselling author Audrey Penn also has written a sensitive book in which the main character comes to understand the loss of a school friend through an “accident.”  Check out “Chester Raccoon and the Acorn Full of Memories,” (Tanglewood Press) illustrated by Barbara Gibson.

 “A Mango for Grandpa”  by Caroline Hudicourt (International Step by Step Association) is another online story offered in Big Universe’s library of children’s picture books. It also deals with loss by celebrating fond memories and carrying on traditions. Its illustrations by Ismer Saincilus lend themselves to whiteboard display in a classroom setting.

 “Saying Goodbye”  is “a sad and true story about the death of a pet dog,” written by Carrado G60, a Big Universe member. It is a perfect illustration of how Big Universe’s author tool can help kids deal with grief. The child author was able to memorialize Muffy, a beloved pet, by uploading digital photos and expressing feelings through personalized text. The book includes a parent’s page at the end with hints to help children deal with loss.

 “Love is stronger than death even though it can’t stop death from happening. But no matter how hard death tries, it can’t separate people from love. It can’t take away our memories either. In the end, life is stronger than death.”  – Anonymous

 

 Note: There are many resources available to parents and teachers, who find themselves dealing with the topic of death and tragedy. Don’t be hesitant to get help from a certified grief counselor or clergyman if you feel overwhelmed. The Barr-Harris Children’s Grief Center in Chicago recommends numerous books about death and grief for children and adolescents, as well as answers to some frequently asked questions. Educator Keith Schoch also offers a great list of additional picture books on this topic in his blog.

Update (May 20, 2010): The New Zealand Post Children’s Book Awards selected the picture book “Old Hu-Hu” as its supreme award recipient this year. Written by Kyle Mewburn of Central Otago and illustrated by Rachel Driscoll of Wellington, the book tells the story of a huhu beetle family and how it dealt with death by celebrating life, “reassuring children about losing a loved one.”

To learn more about using current events as an educational resource in the classroom, read these Big Universe Blogs by Suzan Woodard.

 “10 Ways to Use Current Events in the Classroom” 

“Add Life to Your Teaching with Current Events”

Blue Moon Special: ‘In Every Moon There is a Face’

Moon 2 IMG_9734For the past 18 years, I have given a special ornament to each of my children on Christmas Eve. Each trinket signifies something about their lives in the previous 12 months.

After almost two decades, we have a litany of stories and mementos hanging from metal hooks among the pine needles – ballet slippers, handprints, ponies, pianos and tokens from trips. It’s like a 3-D version of scrapbooking.

The first in this collection was a handcrafted moon with a little baby girl nestled in the lower curve of the star-bedecked crescent. The infant is asleep with her tummy facing down, her knees tucked in and her bottom poking up – my first-born’s position of choice when she snoozed.

Between that ornament and the lunar beauty on recent winter nights, I’ve had the moon on my mind. Last evening its light was so bright, it penetrated the curtains in my bedroom, leaving moon shadows on the floor.

On New Year’s Eve we will experience the second full moon this month – the celestial event known as a “blue moon.” The last time this occurred on a New Year’s Eve was 19 years ago in 1990 – two months before the birth of my first baby. The next one will ring in the new year in 2028.

This afternoon I heard my second daughter humming “Fly me to the moon. Let me sing among the stars.” So, it shouldn’t really have surprised me when the children’s book “In Every Moon There is a Face” caught my attention as I surfed Big Universe’s website for some of the latest additions on its virtual bookshelves.

While the book has been on the site for some time (480 others have read it) I somehow missed it. Its poetic verses were penned by renaissance man Charles Mathes, and his talented wife, Arlene Graston, gave the text wings with her fanciful paintings. Published by Illumination Arts, the book received the Gold Medal for Best Children’s Picture Book of the Year by Foreword Magazine.

I made the mistake of reading this book for the first time in the same way I would have recited the words to “If You Give a Mouse a Cookie” for the umpteenth time. When I finished, however, I knew I had missed the mark. I hit the Read Again tab and gave this book another shot.

The second time I read Mathes’ poem I set off at a gentler pace, using a softer voice appropriate for a lullaby or soothing bedtime story. I took my time as the text circled in a dream-like fashion and lingered to absorb the illustrations, which expanded the story with their intricate detail.

This time I savored the collaboration of text and art like a fine wine – instead of treating it like a Big Gulp from the corner 7-Eleven. This time I arrived at a different impression entirely! I invite you to give it a read, too.

Other Lunar Favs on My Mind:

  • Van Morrison’s song “Moondance.”
  • “Goodnight Moon” by Margaret Wise Brown.
  • The 1987 Oscar-winning movie “Moonstruck.”
  • Cat Steven’s song “MoonShadow.”
  • Keith’s Moon Page trivia.
  • Mobile, Alabama’s new year’s celebration. The city raises a 12-foot, lighted mechanical moonpie replica above the city at midnight.  Think Times Square with a hint of marshmallow, graham cracker and chocolate.

 Happy New Year!  May you enjoy many hours of good reading in 2010 and a sprinkling of moon dust, too.

A Balancing Act . . . Writing a Picture Book in Verse

Sometimes we need a little imbalance in our lives to make us think about how to get centered again. Writing a picture book in verse is like that, too.

 When writing in poetical stanzas (With all those good things that any picture book needs—characterization, setting, and a plot, for goodness sake!)the writer has an additional concern. That is, a sense of balance. Oftentimes we can sense imbalance but we are not quite sure why something doesn’t work.

For example, the magical number in most western literature is three. Tasks, bad luck, good luck, etc. come in threes. If this is violated, somewhere down deep we readers feel a bit uneasy. Things are not quite what they should be.

Most picture books are thirty-two pages in length. (Some are forty, or twenty-four; all are a number of pages that can be divided by 8.) Working with thirty-two pages, a writer of picture books has to be able to envision action for approximately 13 double spreads (26 pages), and two single pages (first right page and final left page). The remaining four pages are front and back matter.

The job for the verse writer of picture books is partly realizing how the stanzas, with or without a chorus, play across these pages in a balanced way so the reader feels, yes! This is right. Early in my writing career I wrote a book from which my editor wanted me to remove one stanza to get it into a 24 page format. But which one should I remove?

This manuscript also contained a repeated chorus at precise points in the story. In my mind it was designed like one might a beaded necklace. There was an opening, three strands (stanzas) of a certain rhyme pattern and rhythm, a chorus strand with a different rhyme and rhythm, three more of the basic strand, another chorus, three more of the basic, and then a closing. So the original pattern went: Opening, 3 stanzas, chorus, 3 stanzas, chorus, 3 stanzas, closing.

How could I remove just one and keep the whole thing working in a balanced way? Well . . . obviously, I had to remove the center stanza so the central strand of the basic pattern contained only two stanzas. Now my pattern was Open, 3, C., 2, C., 3, Close.

You might think at this point that I am being just too fussy. But am I? Certainly a reader sometimes is not aware of all the work a writer does behind the scenes to make a story flow as though it were effortless. However, if we jarred the reader rudely at a point in the flow—he/she would certainly feel it, even though the reader might not be exactly sure why it didn’t work for him/her.

For example, lets look closely at a title from a friend of mine’s manuscript (Hope Vestergaard) that recently sold to Candlewick: Digger, Dozer, Dumper. Obviously, this is a book of large machines for little readers. And the title is perfect. Why is that?

First, we have the very descriptive words that tell exactly what each machine does. Second, we have the wonderful alliteration so beloved in children’s books that helps the title just roll off our tongues. But there is more . . . a third thing. This is something an author would think about and deliberately design, something that just feels right.

Notice the vowels? Each one progresses down in tone and where they said in the mouth. The “i” is higher, said using the tongue up near the roof of the mouth. The “o” is said in the round chamber of the middle of one’s mouth, while the “u” is said more in the lower back of the mouth near the throat. It feels good in our mouths to say it. It’s memorable, it’s musical. It’s perfect!

Now you know a little about why I fume when someone comments, “Oh it must be so easy to write those books. They’re so short.” When this happens I grit my teeth and remark that often the things we love most in the world are short, but they are not easily written. Think of Robert Frost’s poem “Stopping by Woods,” Lincoln’s “Gettysburg Address,” or the 23rd Psalm.

The best writing is precise and balanced.

Here’s to the beginning of a new writing year! Happy Holidays, all!

Shutta

Children and Worry

Some topics are universal and worry is one of them. There is a beautiful picture book available online at Big Universe that covers the topic of worry beautifully. When I was a child I worried about everything! When I shared my difficulty with worries with my fourth grade students I got an overwhelming response from the children telling me that they had the same feelings and they sure were glad they weren’t alone. We spent quite a while discussing some of the worries they had.

The worries children have to deal with are numerous. For some it’s whether they’ll get the tennis shoes they want or the part in the play. Others worry about a grandparent who is sick or a brother or sister who is away at college. For some there’s the worry of losing a home to foreclosure, having the electricity turned off, or what kind of mood dad’s going to be in when they get home. Others worry that someone’s going to find out they don’t have a home, that when they leave school everyday, they go to the homeless shelter; That those clothes they wear everyday once belonged to someone else. That woman that comes to see them during the day at school, she’s a social worker, she might be taking her and her brother away from their parents.

Children worry about so many things. Is There A Worry Worrying You? written by Frieda Wolff and Harriet May Savitz, beautifully illustrated by Marie Le Torneau and published by Tanglewood Press, addresses the problems of a child’s worries in a very child friendly way. The book is written at a first grade reading level but the interest level is much wider. As a read aloud the book’s reach stretches all the way from preschool through the elementary school years and beyond. Even as an adult I enjoyed the bitter sweet memories it helped me recall from my childhood.

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