Pumpkins and Place Value

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Understanding Tens, Hundreds and Beyond

Pick the biggest pumpkin you can find. Cut off the top and smell the fresh pumpkin smell. Carving a Jack O'Lantern leads to a mathematical unit study of place value that incorporates all five senses.

Counting pumpkin seeds into groups of 10's, 100's etc. helps children understand our decimal system and prepares them in a concrete way to understand higher level math.

Scoop out those seeds, roast them if you like and count your way to a concrete understanding of place value.

Observing Pumpkins

Pumpkin Poem

Farmer's Strong, Work Toughened Hands Planting in the Garden
Farmer's Strong, Work Toughened Hands Planting in the Garden
Available at Allposters


As a child I helped my father drop seeds into the hills of garden dirt mixed with just enough compost to feed the growing pumpkin plants.

Pumpkin SproutsPumpkin Blossom

Photo Credit: Pumpkin Seedlings on Flickr, Creative Commons
Photo Credit: Pumpkin Blossom on Flickr, Creative Commons



I watched the seeds sprout, the vines twine around and spread out. The yellow blossoms opened up for the bees and then died off to reveal the small green baby pumpkins.

Growing Pumpkins

Photo Credit: Green Pumpkin
on Flickr, Creative Commons.



Later I helped my mom make pumpkin pies, pumpkin bread and pumpkin pudding. We even added pumpkin to spaghetti sauce.

Pumpkin Pie
Pumpkin Pie
Available at Allposters


My favorite day was the day my dad would bring the biggest pumpkin up onto the porch to carve into a Jack-o-lantern.

Boy and Girl with Pumpkin
Boy and Girl with Pumpkin
Available at Allposters



But I never observed a pumpkin so well as the day I helped my students count the pumpkin seeds.

How Many Seeds in a Pumpkin?

Picture Books that Explain Place Value

October is a great month for counting pumpkin seeds. Have each child bring in a pumpkin. You can estimate the weight, measure the circumference, count the ridges, and carve it with geometric shapes. There are 10's if not 100's of ways to use math to describe a pumpkin.

Counting the seeds is one of my favorite ways to explore place value. During the week before we will be counting seeds I ask parents to send in a pumpkin. I introduce the Pumpkin Theme by reading From Seed to Pumpkin in order to learn about the life cycle of the pumpkin.

Pumpkins

When all of the pumpkins have been brought in we put them in order from smallest to largest and then estimate the number of seeds in each pumpkin.

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Estimating the number of seeds in the pumpkin.

Carve a Pumpkin

Photo Credit: Jack O' Lantern
on WPClipart


Pick a pumpkin for carving and counting seeds.

1. Each child writes an estimate for the number of seeds they think are in the pumpkin.
2. Attach estimates above the number line.

To better understand estimation it is important to repeat the process several times so carving, cutting and counting a pumpkin should be done in groups of 3 or 4 children leaving enough pumpkins for several days.

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EDUPRESS ORANGE PUMPKIN SHAPE BOOK

Amazon Price: $1.99 (as of 02/16/2012)Buy Now

This pumpkin book is a good place for students to record Halloween spelling words for spirited drill-and-practice activities at home or school.

Cut off the Top of the Pumpkin

Use all Five Senses

Cut off the Top of the Pumpkinsmell the pumpkin

Photo Credit: Carve the Pumpkin on Flickr, Creative Commons.
Photo Credit: Smell the Pumpkin on Flickr, Creative Commons.



1. Listen to the squeaky sound as the top is cut off. Cutting into a pumpkin is difficult and the knife is wedged in tightly, causing vibrations which cause the sound you hear.

2. Cut off the top and look inside. Notice how each fiber leads to a seed.

3. Can you smell the pumpkin? Does it smell the same as pumpkin pie?

4. Does the outside of the pumpkin feel dry or moist? How does the inside feel? Do you see beads of moisture forming where you cut off the top?

pull out the pumpkin strings

Photo Credit: Carve a Pumpkin
on Flickr, Creative Commons


5. Use your fingers to pull out all the seeds; separating them from the fibers or strings as you go. Spread the seeds out on a tray and dry them or roast them in a warm oven.

6. Use a large spoon to scrape our the strings. It is safe to taste the strings. Do they taste the way you would expect? Do they taste like pumpkin pie?

7. Do you think your estimate was lower or higher than the number you recorded? Write down your new estimate.

Scoop Out the Pumpkin Seeds

Scoop Out the Seeds

Photo Credit: Pumpkin Seeds
on Flickr, Creative Commons.



Using a spoon or fingers scoop out all of the seeds and spread them out on a newspaper or paper towels to dry.

Spread Out the Seeds

Photo Credit: Pumpkin Seeds
on Flickr, Creative Commons.

Pumpkin Seed Counting Mats

Wilton Standard Baking Cups, Assorted Black and Orange, 75 Count



For each group of children:
1. ONES: On a small Orange Paper Plate use a permanent marker to draw 10 seeds.
2. TENS: Take 10 orange Gatorade covers and hotglue green felt or plastic stems on them for decoration.
3. HUNDREDS: Get 10 small plastic pumpkins used for party favors.
4. Get 1 large plastic pumpkin used for Trick or Treating.
5. On a poster board draw a diagram of the Place Values for ones, tens, hundreds, and thousands. Draw outlines for each of the containers and write the words for each of the places above the spaces for the containers.

Children put one seed on each seed on the orange plate. When there is a seed on each spot on the orange plate transfer it to a Gatorade cap.

When all Gatorade caps are full transfer them to a small pumpkin.

When all small pumpkins are full transfer them to the large pumpkin.

When all the seeds have been places on the mats it's time to write the numbers on the Place Valve Worksheet.

Count Seeds

Photo Credit: Pumpkin Seeds
on Flickr, Creative Commons.



Younger children may need to glue the seeds on and count only up to 30 or 50 after carving very small pumpkins.
RaisingOurKids.com - Free Printable Halloween Coloring Pages
RaisingOurKids.com - Free Printable Halloween Coloring Pages
Printable Worksheet: Place Value Chart
Use these Place Value Worksheets for keeping numbers in the right columns.
Math Tub Fun
Hands-On Place Value Activities

Writing the Numbers on the Place Value Worksheet

Place Value WorksheetNow count the number of seeds that did not make a complete set of 10 and write that number in the ones column.

Count the number of left over Gatorade caps and write that digit in the tens column.

Then count the number of small pumpkins with seeds and write that digit in the hundreds column.

Finally count the number of large pumpkins, if any, and write that number in the thousands column.

Now you know how many seeds were in the pumpkin.

Compare the exact number with your estimates.

Pumpkin Containers

Collecting Data

Photo Credit: Place Value
on Flickr, Creative Commons


1. Put one seed at a time on the plastic orange plate.
2. Ten pumpkin seeds go in a small plastic pumpkin.
3. Ten small plastic pumpkins go in the large plastic pumpkin.
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Count the Pumpkins in the pumpkin Patch

Draw pumpkin leaves on green paper and draw a line down the middle. Write tens on the top of the left hand side and ones on the top of the right hand side. Laminate the Pumpkin Patch mat.

Make a stack of pumpkin shaped cardstock cutouts. Write two digit numbers on the pumpkins. On the back draw the pumpkins for self checking.

Heritage Lace Pumpkin 15-Inch by 18-Inch Placemat, Orange, Set of 2



Each child or pair of children needs a pumpkin Patch Mat, some Pumpkin Cards, 9 Pumpkin Erasers and 9 pumpkin seeds. Erasers are worth 10 seeds.

Children show the number of pumpkins growing in the field using Erasers and Seeds.
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Pumpkin Seed Math Books

EDUPRESS ORANGE PUMPKIN SHAPE BOOK



Counting pumpkin seeds,

Oh what fun!

How many seed inside this big one?

Find all the members of the nine family using pumpkin seeds as math manipulatives.
Pumpkin Seed Math Books
Pumpkin seed counting ideas from Kim's Kindergarten class.

Books for Teachers about Place Value

Help you to teach Place Value

These are the very best books I have found for teaching Place Value using hands-on methods. They have hundreds of ideas for making math come alive for the children.

The idea for counting pumpkin seeds, from the Mathematics Their Way program, was one of the first hands-on lessons I taught and it is still one of my favorites. I was substituting in a classroom in central Vermont where small classes and cooperation allowed the first and second grade teachers to collaborate on innovative ideas. The teacher brought a large pumpkin into the classroom and the math class began. We estimated the circumference and weight, graphed the estimations and then guessed the number of pumpkin seeds that the pumpkin would contain.

Finally we were allowed to cut off the top and begin counting. We counted ten pumpkin seeds by placing one seed at a time on a laminated sheet of paper or math mat with nine small circles, one for each pumpkin seed. When each of the circles was filled and the next one had no place to go, we slid all of them off into a paper cup. Nine paper cups were provided with a small plastic pumpkin off to the left and ten cups full of pumpkin seeds were dumped into it.

We discussed place value and soon learned the number of pumpkin seeds found in the pumpkin. The children were told that they would be carving and counting pumpkins all week and that they would discover that their estimations would become more and more accurate.
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How did you come to understand Place Value?

Pumpkin VineMaybe you still don't understand it. For me it wasn't until I was doing my Student Teaching and I worked with a wonderful teacher who was beginning to use the Math Their Way method of teaching.

As I helped the children make groups of ten objects and group those ten objects to make hundreds it all started to make sense. The numbers were no longer just numbers on paper. They now had meaning.

This need to understand the significance of each digit becomes important as children begin to learn to multiply and divide large numbers.

Photo Credit: Pumpkin's Progress! (Mystery solved!)
on Flickr, Creative Commons.

How did you learn Place Value?

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Numbers written on paper and pencil

akumar46 says:

Great idea of learning place value.

SmBizGuru says:

I love this idea to turn pumpkins into a teaching tool. Did you know that pumpkins seeds are a very healthy edible snack? Don't tell the kids until the counting is done. :) Take a look at my All about the Pumpkin lens to find out how healthy and get your recipe http://www.squidoo.com/all-about-the-pumpkin

jptanabe says:

Well, I have no memory of learning it at all - in fact I don't think I ever learned that term! I know it wasn't with pumpkin seeds though, because I never saw a pumpkin till I was an adult (we used to carve turnips and they don't have seeds!).

Teddi14 says:

I really don't remember how I learned place value.

Joan4 says:

I have no idea! Way back in the olden days, we did not even use that term. We simply learned math. Period! I love the new ways of teaching concepts first!

Bundling objects together

Frischy says:

We had some little colored sticks. I think we used these to learn place value, but I am not sure. It was an awfully long time ago.

KimGiancaterino says:

I still have a compulsion to count items I see, especially things that are grouped together.

Mickie_G says:

Probably when a child and on paper and pencil, but I am sure I never understood it then. I really began understand mathematics when I became a Montessori teacher and used the golden beads.

groovyoldlady says:

Oh come on. I'm SO old. I don't remember how I learned place value! Did they teach that back in the cave?

However, my older kids learned it by using "found" manipulatives: buttons, pennies, cut-outs, pictures, blocks...whatever.

My younger kids learned the concept formally with purchased math manipulatives and the ever fun "Decimal Street" advocated by MathUSee plus all of the above and some fun computer games.

Mortira says:

Our class room had blocks that were attached together in groups of 1, 10 and 100. We could count rows and combine differnt blocks to create numbers.

 
view all 13 comments

Counting Pumpkin Seeds to 10

This video gives some ideas for Pumpkin Seed center activities or activities for children who are not quite ready for numbers over 10.
Halloween Pumpkin Seed Children or Kids Counting Activity | Cullen's Abc's
by CullensAbcs | video info

3 ratings | 9,771 views
curated content from YouTube

Counting Pumpkin Seeds

Counting Pumpkin Seeds

Photo Credit: Pumpkin Math
on Flickr, Creative Commons


Children can use pumpkin seeds to show the value of a number or the answer to a math problem.
Once I had a Pumpkin
Dr. Jean's Pumpkin Page
Pumpkin Seed Count
Estimating, Grouping and Counting Seeds

Pass the Pumpkin

Pumpkin Seed Place Value

Plastic Pumpkins

Program pumpkin cutouts with numbers between 0 and 99.

1. Pass the pumpkin while playing music.
2. When the music stops the child holding the pumpkin takes out a pumpkin card, reads the number and shows it's value by setting out the correct number of small plastic pumpkins (tens) and seeds (ones).

Variation: Once the group understands how to play this game it can be played in small groups of 3 or 4 at the same time.

Note:Make sure that the groups are of mixed abilities and that everyone gets a chance to show the number values.
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Ten Little Pumpkins

Peter, Peter Pumpkin Eater

Russell, Mary...
Buy at AllPosters.com



Here is a song to help little pumpkin counters count the ten seeds that go into the small plastic pumpkins.

Ten Little Pumpkins
(tune of Ten Little Indians)

One little, two little, three little pumpkins.
Four little, five little, six little pumpkins.
Seven little, eight little, nine little pumpkins.
Ten little pumpkins growing in a patch.

Ten little, nine little, eight little pumpkins.
Seven little, six little, five little pumpkins,
Four little, three little, two little pumpkins.
One little pumpkin growing in a patch.

Ten Little Pumpkins

If you're going to try making ten of these cute little Lego Pumpkins you are going to have to collect lots of orange Legos. Here are the directions and quantities to make one:

Lego PumpkinLego pieces needed to make a Lego Pumpkin

How many orange Lego bricks would it take to make ten pumpkins?
LEGO Halloween
Directions for building a 3-D pumpkin.

More Pumpkin Math Activities

Pumpkin Math

The face of a Jack-o-lantern is usually made of geometric shapes.
Mrs.Mumpower
How many Unifix cubes high is your pumpkin?
Pumpkin Math
Pumpkin Math Worksheet
Pumpkin Seed Count -- Acitivites
Pumpkin Worksheets and Activities

More great Math Activities can be founed at:

Pumpkin Crafts

Seeds of many kinds make beautiful mosaics. Here is one made using pumpkin seeds.

Pumpkin Seed Mosaic
Pumpkin Seed Mosaic - Sculpture - KinderArt
Free sculpture and collage lesson plans for kids, parents, teachers and homeschoolers
Walk Beside Me: Getting Back on Track (aka my little pumpkin head)
Pumpkin Craft

A wonderful blog of homeschooling activities for preschool aged children.

The pumpkin craft invites ideas of counting pumpkin seeds, adding lines to separate numbers of seeds, or writing pumpkin patch stories that could be hidden inside.

Pumpkin Calendar Pattern

Calendar Pattern

Make a pattern with pumpkins, leaves and apples for your calendar. Each day you slip in the next number and guess the pattern as each day's picture is revealed.
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Pumpkin Number Line

Pumpkin Patch Borders with Corners



Make a number line adding a number each day. Write the numbers 1-9 on each of the and the number 10 on the large pumpkin. Continue on for the rest of the month or until you get to as high a number as your children are learning to count to.

Number lines help children visualize the meaning of Place Value.
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Activities to add to your Pumpkin Literacy Bag

Pumpkin Concentration
Pumpkin Concentration
Color, label and laminate the pumpkin cards.

They could be labeled with Word Wall Words, Pumpkin Theme words, or words used for Place Value.

Teaching about Pumpkins

More ideas for teaching with a pumpkin theme.
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Pumpkin Literacy Bag

Counting Pumpkin Seeds

Books and activities for the Pumpkin Literacy Bag.
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Pumpkin Literacy Bag

Pumpkinseed Bear

Literacy bags encourage children to share their learning with their families. I include both a fiction and a non-fiction book about pumpkins, some pumpkin seeds in a Ziploc bag, and a few small plastic pumpkins.

I also include a a Teddy Bear with a pumpkin sweater and his journal so that the children can record the adventures of Pumpkinseed Bear while visiting their home.
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Pumpkin Seed Bear and Literacy Bag

Items for the Pumpkin Literacy Bag which extend learning from the classroom into the home and between families.
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Place Value and Pumpkins

Pumpkin NumbersPumpkin Math
NEA: Predicting Pumpkins
Is there a relationship between a pumpkin's size and the number of seeds it contains?
In the Heart of my Home: Gnomes, gnumbers, place value and pumpkins
A lesson in place value
Predicting Pumpkins Worksheet
Make a Prediction
Pumpkin Math
Counting Pumpkin Seeds

Place Value beyond the Pumpkins

Putting Pumpkins in their Place has Value

Photo Credit: Pumpkins
on WikiCommons.



After all the pumpkins have been gathered and the seeds have been counted, what can you do to continue learning Place Value concepts?

From daily calendar count to I have, Who has card games the learning fun never ends.

Place Value School Day CountPlace Value beyond the Pumpkins
Activities : Play Placemat Place Value
Ordinary drinking straws are fun for drinking juice and even for spitballs when you're not looking, but also fabulous for learning first grade math.
Mathwire.com | Place Value Activities
Place Value Practice: School Day Count Routine
Students need many different activities to develop a conceptual understanding of our base-ten number system.
Math on a Roll
Build skills in place value, addition and subtraction, multiplication, and more with these easy dice games

Place Value Educational Materials

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More Pumpkin Ideas

Zanies Pumpkin Patch Pal Green Top

Pumpkin Unit - Mrs. Nelson's Class
Contains classroom photos, thematic teaching ideas for throughout the year, and resources for teaching reading, writing, and math.
Welcome to the Pumpkin Patch
Weigh a pumpkin. After scooping out the seeds and pulp, weigh the pumpkin again and compare the two weights.
Counting Pumpkins by 10's Book
Pictures of tens of pumpkins with very simple text. Ebook or pdf format.
Easy Pumpkin Song for Kids
Five Little Pumpkins
Language Focus: Emotions and actions ("Smiling", "Happy", "Pouting", "Grumpy", "Yawning", "Sleepy", "Crying", "Sad", "Laughing", "Playing
Using Pumpkin Seeds as Math Manipulatives
Background:

Pilgrims and other early American settlers made the first pumpkin pies by burying pumpkin in the ashes of their fires.

After a pumpkin had cooked, they would cut off the top, scrape out the pulp and add honey or maple syrup. The pulp was then made into delicious pies and breads.

Pumpkins were used for many different things. Dried pumpkin shells served as bowls or containers for storing grains and seeds. Pumpkin seeds were dried and roasted
for a high-energy treat.

Sorting Pumpkins

Sorting Pumpkins
Silent Sort
The kids were given the challenge of sorting their pumpkins without making any sounds from smallest to biggest. They rose to the challenge and it was a lot of fun to watch the process!

Hundreds of Turkeys

Tobias TurkeyFarmer Joe had hundreds of turkeys on his farm. They ran all over the place and it was difficult to count how many turkeys he had. One day Farmer Joe decided to use place value to help him count his turkeys.

He made lots of pens and put 10 turkeys in each pen. Each group of 10 pens were put in a separate field. Then he could count the turkeys by hundreds, tens and ones.

Materials: Green place mats, Popsicle sticks, Unifix Cubes.

Turkey Pens

Fences for turkey pens can be made from the Popsicle sticks. We use Lima Beans to represent the turkeys.

1. Grab a flock of turkeys. (One or two handfuls of Lima Beans.)
2. Put 10 turkeys in each pen.
3. Separate each group of 10 turkey pens into separate pastures. (Green place mats)
4. Now count the number of turkeys in your flock.

Recording sheets can be provided for recording your answers with spaces to fill in full pastures, pens and left over turkeys.

Place Value and Turkey Pens

Turkey Place Value FieldsTurkey Candles

To use place value to count the turkeys:
1. Make a group of ten turkeys.
2. Put the ten turkeys on a square.
3. Count the turkeys by 10's.
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More Ideas for Teaching Place Value

Math Works: Montessori Math and the Developing Brain

How to Use Montessori Counting Chains to Teach Large Numbers
How to Use Montessori Counting Chains to Teach Large Numbers. Montessori counting chains are long chains of beads that are designed to help children visualize and count large numbers. They can be purchased in sets or built using Montessori golden bead ten bars. ...

Using Frog Spawn to Teach Place Value

Frog Egg Math Workjobs and Centers

Frogs lay their eggs in clusters. Toads lay their eggs in strings.

Show place value with clusters and strings:
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Going beyond Tens and Ones

Place Value into the Billions

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Pumpkin and Place Value Lapbooks

Lilliput Station creates wonderful Lapbooks for nearly any imaginable unit study.

Pumpkin Lapbook

Click on the Lilliput's Lapbook above to go to the free downloadable file.
Pumpkin Lapbook
Pictures of a Pumpkin Lapbook along with links to the items used to create it.
Pumpkin Lapbook for Toddlers
Velcro is used to stick and restick pumpkins from the 5 Little Pumpkins rhyme onto the fence.
Thanksgiving Pumpkin Lapbook
The pocket has "Peter Pumpkin Eater" with puppets for play.
Lilliput Station Adventures
The above Pumpkin Lapbook is from Lilliput Station Adventures.

Downloadable Pumpkin Stories

After you took out all the pumpkin seeds and counted them, did you carve a funny or a scary Jack-O-Lantern?

On a pumpkin shaped paper draw the face that you carved into your pumpkin and at the bottom write the number of seeds you counted. Carefully checking the place value of the numbers, put your pumpkin in order.

Now it's time for a great pumpkin story:

The Lumpy Bumpy PumpkinIphone

The Lumpy Bumpy Pumpkin by Sandra Robbins

The ugliest pumpkin in the patch becomes the scariest Halloween pumpkin. pumpkin.
The Lumpy Bumpy Pumpkin
Download this book to your Mp3 player or iPhone and your child can have a story read to him or her no matter how busy you are.

Featured Pumpkin Lenses

Autumn Nature Table

Pumpkins give your Nature Table an autumn feel. How could you use pumpkin seeds to enhance your Nature Table? We used dried seeds to make a path for the gnomes to take a walk in the Woods.

Here's where you can go to learn how to roast pumpkin seeds and for more Pumpkin Unit Study ideas:
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More Educational Lenses with a Fall Theme

Vintage Pumpkins
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Place Value in the News!

Place Value
X=Why?
Math for kids of all abilities - with Michael Alison Chandler

The group of mostly 6-year-olds were learning about place value by playing with little plastic or foam cubes. To represent the number 26 they made two "towers of 10" or built two stacks of 10 cubes, and then added six individual cubes.

Pumpkins and Place Value is in the Four Wheeler's Online Unit Study Directory

Stone Soup Internet Directory of Unit Studies
Thank you to the Four Wheelers for having included the Pumpkins and Place Value in their directory. This directory has now been passed on to Stone Soup Homeschooling.
Unit Studies: Stone Soup Homeschool Network - Stone Soup Homeschool Network
Stone Soup Homeschool Network Ages and Stages We are very excited to be entrusted with this rather comprehensive Unit Study Database. It was started many years ago, and maintained for the last decade by the Wheelers

Pumpkins and Place Value Talk

Did you gain a better understanding of Place Value and the role of manipulatives?

Pumpkin Writing

Photo Credit: a>
on Flickr, Creative Commons


Have you ever counted all the seeds in a pumpkin? How many seeds do you think you will find?

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Meet the Author

Evelyn's Hands-On Learning Blog.

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Sing a Song of Halloween

I was always good at math but hated it because the numbers didn't seem real. They were just scribbles on the page.

Then, after I graduated from college, I took a class in teaching math using manipulatives. As I felt the smooth wood of the Pattern Blocks and heard the musical sounds of Cuisenaire rods being dropped, math came alive for me.

Find out what else I'm up to:
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Place Value and Pumpkins in the Kingdom

Using Place Value to Count Pumpkins

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Evelyn_Saenz

My passion is teaching and finding ways to teach children in fun, hands-on, creative ways. The unit studies I make on Squidoo reflect my view that learning... more »

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