NUMBER+TALK

media type="custom" key="21039648"  I had a driveway moment this fall when NPR ran a story (__ @http://www.npr.org/blogs/health/2012/11/12/164793058/struggle-for-smarts-how-eastern-and-western-cultures-tackle-learning __) - See more at: http://singaporemathsource.com/#sthash.DoBaNCfv.dpuf  media type="youtube" key="aaweXw03kQI" width="425" height="350" align="center"

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http://www.adaptedmind.com/videos.php (website with videos on number talks/number sense http://www.khanacademy.org/test-prep/singapore-math/v/singapore-math--grade-3a--unit-1--part-1 http://www.thinkingblocks.com/ (story problems using thinking blocks) http://singaporemathsource.com/resources/singapore-math-web-sites/#sthash.xqvIgqf4.dpbs https://pinterest.com/rachfuentes/singapore-math/ http://shawskindercrew.blogspot.com/search/label/Math http://singaporemathsource.com/#sthash.StzkkdlR.dpbs http://3teacherchicks.blogspot.com/2012/02/singapore-math-tutorial-freebie.html http://www.thesingaporemaths.com/ http://thelemonadestandteachers.blogspot.com/search/label/place%20value (place value videos)  How to Make a Rekenrek   http://www.mathematicallyminded.com/ great site Would you like to use rekenreks in your classroom but don’t have the budget to buy a class set? Use the simple directions below to make a class set for just a fraction of the cost of store bought models.

[|200 red beads] [|200 white beads] [|6 yds. beading elastic] [|20 medium weight chipboard sheets] Scissors
 * Materials**

> [|8 1/2 in. x 11 in. chipboard sheets] and cut in half to make two 8 1/2in. x 5 1/2in. boards. >
 * Things to consider:**
 * The above materials will make 20 small two row rekenreks (4in. x 6in.) This size is perfect for little hands but if you would prefer to make a larger size purchase
 * The beads usually come in packets of 750-1000 so you can save money by working with another teacher on your grade level and splitting the cost of materials. You could also cut the boards from cardboard boxes, although if you are making a class set this may be too time consuming to make it worth the effort.

> > > > > If you are having a curriculum information session early in the year where you will discuss your math curriculum have your students’ parents help you with this project. Explain how you will be using this tool throughout the year and show parents a few of the [|rekenrek activities] that you will be introducing throughout the year to develop number sense. Get them to help you out by making two for their child: one for school and one to take home. If you have all the materials ready ahead of time this should only take a few minutes and will save you having to make them all yourself. Rekenrek/MathRack 20 Activities Rekenreks are also known as an Arithmetic Rack. They are a great tool that allows children to develop number sense at their own pace. With the built-in 5 & 10 structure, they help children build number relationships that lead to more advanced strategies. On the second page are directions on how to build your own, but you can also purchase quality ones known as the MathRack 20 at www.mathrack.com. Introducing the tool Have them build their own Rekenrek: Show the students a sample Rekenrek and ask them what they notice. Elicit the idea that there are two rows of 10 beads and the color of the beads change at 5. You can explain that this tool is what students in the Netherlands use to do addition and subtraction. Show Me(one row only): have them show you a certain number on the Rekenrek – “Show me 7 on the rekenrek.” Then ask questions about how they knew where 7 beads was, what do they notice about how far it is from 10, from 5, etc. Show Me (using both rows): just like above, but they have to show 7 using both rows. This is a nice way to bring up the ‘math facts’ for 7. Some kids will have 5 on top and 2 on the bottom, some may have 1 on top with 6 on the bottom, etc. Use a context like “There are 8 girls on Kylie’s bunk bed, some are on the top bunk and some are on the bottom bunk. Use your Rekenrek to show me how many might be on the top and how many might be on the bottom.” Quick Images: Give them a story like “Kylie is having a slumber party, during the party some of the girls were playing on her bunk bed. I’m going to flash my Rekenrek for 5 seconds to show you how many girls were on the bunk bed. I’d like you to show it on your Rekenrek and figure out how many girls were on the bunk bed.” (Flash 9 all on top; 7 all on top; 6 all on top; 5 on top, 3 on the bottom, etc) (Other contexts can be using the Rekenrek as a double-decker bus or as the upstairs and downstairs of a house) Adding Give story problems that encourage the use of the Rekenrek (Fosnot, 2007): There are 7 people on the double-decker bus. At the first stop, 8 people got on the bus. How many people are on the bus? At Kylie’s slumber party, some of the girls were playing on her bunk bed. There were 6 girls sitting on the top bunk and 8 girls on the bottom bunk. How many girls were on the bunk bed? Do ‘quick images’ where you flash an amount (7), have them show that amount on their Rekenrek. Next add some beads (6) and flash the new total. Ask them “How man beads did I add?” When you add the beads you can add them as many as you can to the top row then put the remaining on the bottom or you can put them all on the bottom. Subtracting Give story problems that encourage the use of the Rekenrek (Fosnot, 2007): There are fifteen people on the double-decker bus. At the first stop, 7 people got off the bus. How many people are still on the bus? Kylie was having a slumber party. There were 13 girls total at her party and all of them are piled on her bunk bed. Eight girls jumped off the bed, how many are still on the bed? Do ‘quick images’ where you flash the total (16), have them show that amount on their Rekenrek. Next move some beads over (7) and flash what is left. Ask them “How man beads did I take away?” When you take the beads away you can take them all from the top row or you can take as many away on the bottom as possible then take the remaining from the top. For a more comprehensive source of lessons buy the book Mastering the MathRack at: www.mathematicallyminded.com How to Build Rekenreks/MathRack 20s The directions below will make 20 individual student rekenreks/MathRack 20s. 30x20 Foam Board (available at office supply and craft stores) 40 pipe cleaners Two sets of colored beads, 200 beads of each color. Traditional rekenreks use white and red beads. Table saw and drill (or other tools that will cut the foam board and drill the holes) Dimensions I use for the individual rekenreks are 3”x10”. This is because on a 30”x20” foam board I can make 20 rekenreks. Mark the middle of the 20” side to give you 10.” Then on the 30” side mark off every 3 inches.Using a chop saw, cut out the individual rekenreks. Drill two holes at each end of the rekenrek, about 1 inch in from the side. Place one end of each pipe cleaner into the holes at one end; tie the pipe cleaners in a knot on the back so that the children cannot get the pipe cleaners off. Place five white and five red beads on each pipe cleaner. When looking at the finished rekenrek, the beads should be pushed over to the right-hand side (this is called the “Start Position”) and the white beads should be on the right with the red beads towards the left. oThe start position has the beads on the right so that when children push beads over they are “reading” the rekenrek from left to right. They count the beads from left to right just like numbers appear on a number path/number line. Once all the beads are on the pipe cleaners, thread the pipe cleaners through the holes you drilled on the other end and tie them so the children cannot get the pipe cleaners undone. Cutting the Foam Board: Finished Individual Rekenrek:
 * Directions:** These directions are for 4in. x 6in. boards. If you are making a larger size adjust the measurements accordingly.
 * Use the tip of your scissors (or a large needle) to poke two small holes at each end of the chipboard sheet, about 1in. in from the side.
 * Cut two 5in. lengths of elastic. Place one end of each piece of elastic into the holes at one end of the board and tie in a knot at the back.
 * Place five white beads and five red beads on each length of elastic. When looking at the finished board, the beads should be pushed over to the ‘Start Position’ (the right hand side), with the white beads on the right and the red beads towards the left. Note that the start position has the beads on the right so that when a child pushes the beads over s/he can ‘read’ the rekenrek from left to right.
 * Once all the beads are on the elastic, thread the elastic through the holes on the other end and tie securely so that the elastic is pulled tight.
 * Materials**
 * Directions**

http://www.mathlearningcenter.org/media/Rekenrek_0308.pdf http://therekenrek.com/about_the_rekenrek.html http://www.edugains.ca/resources/LearningMaterials/ManipulativesSupport/TipSheets/Maniplatives_Rekenreks.pdf http://simplyfirstgradefun.blogspot.com/ (SMARTBOARD LESSONS) http://www.ronblond.com/MathGlossary/Division01/Rekenrek/REKENREK/index.html (online rekenrek) NUMBER TALK

http://duinanddobber.sfinstructionalresources.wikispaces.net/ (awesome Math Recovery site with smartboard and online activities)

linking Literature to Math website: http://love2learn2day.blogspot.com/p/math-book-lists-tba.html

onlline math activities http://illuminations.nctm.org/Activities.aspx?grade=1&grade=2

http://www.k-5mathteachingresources.com/ten-frames.html ( GREAT RESOURCE FOR BUILDING NUMBER SENSE)

http://www2.ups.edu/community/tofu/lev2/journaling/writemath.htm

http://www.willoughby-eastlake.k12.oh.us/classroom/technology/smart_board_1st_grade_activates.htm (smartboard math lessons)



Math





|| Interactive Number Line NCTM K – 12 Interactive Resources K-12 Interactive Resources National Library of Virtual Manipulatives Interactive Math Games More Interactive Math Games Number Line Activities (Use Menu on Right) Wide selection of Primary Math Games || || Counting / Subitizing: RekenRek Rekenrek Activities 1 Rekenrek Activities 2 Rekenrek Prompt Cards Rekenrek Recording Paper
 * ||  ||   || General Math Sites ||   ||
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 * 
 * ||  || Kindergarten - Second Grade ||   ||
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Subitizing Enlarged, Printable Dot Cards Enlarged, Printable Dot Cards 10 - 20 Printable Ten Frames Interactive 5 Frame Interactive 10 Frame Interactive 100s Chart 100 Square Jigsaw

Counting Bobby Bear (Counting) Beginning Counting, Rote Counting and Skip Counting Counting and Subitizing

Base 10 Blocks Interactive Base 10 Blocks (1s-1000s) Interactive Base 10 Blocks Addition Interactive Base 10 Blocks Subtraction || Number Line Number Line Place Value (10th s to Billionths) and Addition / Subtraction Number Line Arithmetic Number Line Addition and Subtraction

Basic Addition and Subtraction Composing / Decomposing within 10 Count to Add All Place Value Addition and Subtraction Addition and Subtraction Bingo Make Amounts (Make 10, Make 20) More Than / Less Than Place Value Bingo Hidden Bubbles Number Line Bounce Grouping and Grazing ( Counting, Place Value, Adding and Subtracting)

Geometry Shape Tool (Drag and Drop Shape) Shape Tool (Make Your Own Shapes)

Measurement Turtle Pond || || Multiplication and Division Learning Multiplication with Counting Multiplication Array Basic Multiplication Game Array Multiplication with Equivalent Equations Area Model Array (Adjustable for Place Value, Composing / Decomposing, Connections to Algorithm and Equivalent Equations) Place Value Multiplication Interactive Model Interactive Times Table Interactive Multiplication, Division and Factor Model Fishing Multiplication Game Basic Division Model Basic Division with Remainders Interactive Division Model (Solve by Decomposing)
 * ||  || Third Grade - Fifth Grade ||   ||
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Area and Volume Area Model Shape Explorer (Area and Perimeter) Shape Builder (Area and Perimeter) Cubes (Interactive Volume Model)

Data Coordinate Plane Maze Create a Graph || Fractions and Decimals Pizza Fraction Game Ordering Fraction Game Fraction Models Single Fraction Finder Fraction Naming Fraction Builder Fraction Finder Fraction Sorter Equivalent Fractions Fraction Game (Equivalent Fractions) Equivalent Fraction Finder Adding Fractions Game Adding Fractions Subtracting Fractions Game Fractions Bars (Operations with Fractions) Multiplying Fractions Part / Whole (Fraction, Decimal and Percentage Model) Base Block Decimals

Measuring Angles Measuring Angles Game  ||

http://www.meridianschools.org/Students/ElementaryLinks/SubjectLinks/Pages/math.aspx

http://mathematicallyminded.com/downloads/Rekenrek%20Activities_Directions.pdf

http://pinterest.com/aclagrone/rekenrek/ http://pinterest.com/aclagrone/rekenrek/ http://mathrives.wikispaces.com/Rock+Eagle+2011

http://www.scoop.it/t/rekenreks (videos)

http://www.freenew.net/iphone/rekenrek-for-ipad/711912.htm (rekenrek app for ipad $1.99)