Manipulatives Make the Math Concrete

Manipulatives and Models
From a school that introduced Math in Focus materials this fall comes a great image of a fourth grader working with manipulatives to understand both algorithms and bar modeling. The class is learning long division. Number disks are a vital part of developing number sense in Singapore curricula.


Parnassus pennies
Another school is using Primary Mathematics and the class is doing the first lesson in multiplying and dividing by twos (Count by Twos). Students hadn’t used a lot of manipulatives before. This student excitedly exclaimed:

Hey, this is really useful!

Comments from observing teachers provided some interesting insights:

Wow, it sure is loud!

You can use a pre-cut sheet of felt from the craft store, or a laminated mat to help deaden the sound of working with louder manipulatives.

My kids would be bored to tears with this activity.

And she’s right, they would have. Her students were the higher ability group and need fewer concrete examples to understand the concept. (Note, not zero concrete examples, just fewer)


Number Discs
The red, white, orange discs with large numbers and the square set are available at SingaporeMath.com as well as many online stores. The set with the smaller numbers is sold in conjunction with Math in Focus materials from Houghton Mifflin and corresponds to the colors used in the textbooks.

Looking for more on manipulatives? Check out this post: If I had a million dollars, ok $1000…
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New Bar Modeling iPad Apps!

For many years, I’ve highly recommended Thinkingblocks.com to my students who hone their bar modeling skills while playing really fun games. These flash-based programs work great on a desktop or laptop, but required third-party solutions to work on mobile devices.

Tired of using Rover to run Thinkingblocks.com on your iPad?

Well, hop on over to the iTunes app store because Math Playground has just published  four new iPad apps based on the popular website Thinkingblocks.com that work perfectly, provide tracked progress and are FREE for a limited time:

Addition and Subtraction:

Thinking Blocks Addition and Subtraction

Multiplication and Division:

Thinking Blocks Multiplication & Division

Fractions:

Thinking Blocks Fractions

Ratios and Proportion:

Thinking Blocks Ratio & Proportion

 

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It Figures: Why U.S. Schools are Using Math from Singapore

Singapore’s Channel NewsAsia produces a show called “It Figures” described this way:

How do all the numbers and statistics on Singapore add up? IT FIGURES, figures it all out.

The premier episode of “It Figures Season 2” seeks “to find out why schools in the US are using our Math textbooks and adopting our way of teaching Math.”

Viewers were challenged to solve the Primary 5 Math problem below. Can you do it?

It Figures word problem

Most Singaporeans used Algebra.

Teacher Owen Lau uses the bar model method beginning at about 1:45:

[youtube]http://youtu.be/tblQg5dobIA[/youtube]From the Singapore TV Show It Figures.

Mr. Lau explains that “students can see better if a problem is presented in pictorial form.”  The following concepts are reinforced:

  • The Model Method: Drawing diagrams and bars to represent math problems visually.
  • The Model Method is not as abstract as Algebra, and helps students understand concepts instead of blindly apply math formulas.

The debut episode of “It Figures Season 2,” explaining the use of the Singapore curriculum in the US airs, on July 2, 2013.

Watch

Images and clip from the Channel NewsAsia website.

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If I had a million dollars, ok $1000…

Recently, I received a question from an excited teacher who had just received a grant to spend on her classroom: “If you had a $1000 dollar grant and taught second grade, what would be the most important pieces of Singapore Math you’d buy?”

If I had a million dollars, ok $1000… here are two scenarios.

#1 Using the curriculum in 2nd grade as your main curriculum

  1. A classroom set of the 1B & 2A textbooks @ $9.00 each, so if you had 24 students + 1 for your self: 25 x $18 = $450
  2. Possibly a set of the 2B textbooks: 25 x $9 = $225
  3. A Teacher Manual for 1B, 2A & 2B: 3 x $21 = $63
  4. A workbook for reference and problem ideas for 1B, 2A & 2B = 3 x $9 = $27
  5. Challenging Word problems level 1 & 2: 2 x $8.50 = $17.00
  6. Intensive Practice: 1B, 2A & 2B: 3 x $8.80 = $26.40
  7. Process Skills in Problem Solving: $10.70
  8. Math Sprints Masters, Levels 1 & 2: 2 x $31 =$62
  9. Elementary Mathematics for Teachers by Parker & Baldridge: $29
  10. Place Value Strips: $12.50

That’s $625.80

I’d spend the rest on linking cubes, base-10 blocks, place value disks or other manipulatives and containers to keep them organized.

Keep in mind that for Number Disks/Place Value Disks you’ll need about 20 each of ones, tens and hundreds disks per student or pair of students sharing. Many companies sell these:

Place Value Disks, 100 Ones DisksPlace Value Disks, 100 Ones Disks

Place Value Disks - 100 Tens DisksPlace Value Disks – 100 Tens Disks

Place Value Disks (1-3): HundredsPlace Value Disks – 100 Hundreds Disks

#2 Using Singapore Math to Supplement another core curriculum:

  1. Start a library at your school with one set of the textbooks and workbooks for every grade level at the school as reference (4 per grade level)  x $9.00 each book – k-6 would be $36 x 7, k-5 would be $36 x 6
  2. A Teacher Manual for each level:  $21 each book, 2 books per grade level = $42 per grade level
  3. Challenging Word problems are $11 each and there are 6 levels (1-6)
  4. Process Skills in Problem Solving vary in cost from $10.20 to $12.80 – levels 1-6
  5. SpeedMaths Level 1 – 4: $8.20 each (no higher than level 4!)
  6. Math Sprints Masters, Levels 1 -5: 5 x $31
  7. Elementary Mathematics for Teachers by Parker & Baldridge: $29 several copies for staff
  8. The Singapore Model Method for Learning Mathematics: $29 for grades 5 & up
  9. Teaching of Whole Numbers by Dr Yeap Ban Har, Singapore’s renowned math educator, $30.50
  10. Bar Modeling A Problem-solving Tool also by by Dr Yeap Ban Har, for lower elementary. $30.50
  11. Place Value Disks: get plenty of ones, tens and hundreds. $15.95 per 100 disks
  12. Place Value Strips: $12.50 and other manipulatives (if you don’t already have them on campus).

What did I miss? Are there any books or tools that you consider “must-haves” in your Singapore Math classroom?

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NEW Singapore Math® Job Placement Resource

Singapore Math Source launches job placement service for Elementary Math EducatorsSince its launch in 2008, Singapore Math Source has become one of the internet’s leading sites for Singapore Math® resources.

SingaporeMathSource.com provides a broad assortment of resources for administrators, teachers, parents and students. What’s more, everything listed on these resources pages has been tested  and/or created by me personally. When I work with schools and teachers or host my after-school math clubs for students, these are the materials and sites I actually use and strongly  recommend.

If you haven’t visited these pages, I invite you to take a look.

New Singapore Math®  Jobs Placement Page

Today, I’m happy to add a new “Jobs Placement” page to the site’s Singapore Math® Resources. This page is the direct result of questions that I frequently am asked:

  • Do you know of a teaching candidate with experience using the Singapore curriculum?
  • Do you know of a tutor who might help my students learn math?
  • What school might appreciate my knowledge and experience teaching Math from Singapore?”

This isn’t fancy (for now, at least). But I hope it might help schools, teachers and parents with specific personnel needs to meet one another. If you are asking any of these questions, let me know and I’ll see if I can help.

 

Photo courtesy of brizzlebornandbred

 

 

 

 

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