Singapore Math: Number Sense and Computational Strategies
Do
your students cringe when it's time to pull out their math books? For many
students, basic math is a struggle. But for students and teachers in
Singapore, math is much more intuitive. And Singaporean students have been
top mathematics performers for over a decade!
Using a layered curriculum founded on solid number sense and concrete,
pictorial, and abstract computational strategies, Singaporean teachers make
math purposeful, interesting, and relevant. Soon you'll learn their secrets
and be able to have the same kind of meaningful math lessons in your
classroom.
In this teacher training course, you'll learn over two dozen strategies to
make math click for your students. We'll begin by exploring what Singapore
Math is and how it has become such a powerful and highly regarded math
curriculum. Then we'll talk about how number sense and place value
instruction are the basis for all Singapore Math. From there, we'll learn a
variety of computational strategies to make addition, subtraction,
multiplication, and division a cinch.
You won't need a passport to discover the curriculum of the world's math
leader!
To enroll in this course, click the Enroll Now button below:
Requirements:
Internet access, email, the Microsoft Internet Explorer or Mozilla Firefox Web browser, and the Adobe Flash and PDF plugins (two free and simple downloads you obtain at http://www.adobe.com/downloads by clicking Get Adobe Flash Player and Get Adobe Reader).
Syllabus:
All courses run for six weeks, with a twoweek grace period at the end.
Two lessons are released each week for the sixweek duration of the course.
You do not have to be present when the lesson is released, but you must
complete each lesson within two weeks of its release.
A new section of each course starts on the second or third Wednesday of each
month. If enrolling in a series of two or more courses, please be sure to
space the start date for each course at least two months apart.
Week One 
Wednesday  Lesson 01 
Do you ever feel like your math lessons are
falling flat and maybe even confusing your students? Well, help is
here. Get ready to learn the revolutionary curriculum from
Singapore, one of the world's math leaders! In today's lesson, we'll
start exploring Singapore Math, the number sense instruction that it
revolves around, and how number sense and computation the Singapore
way can help you reach your students. 
Friday  Lesson 02 
While we all have a general idea of what number
sense is and why it's important, Singapore Math takes number sense
to the next level. It integrates number sense into every computation
by building a solid foundation on concrete, pictorial, and abstract
number sense activities. Today we'll talk about Singapore's number
sense instruction in detail. 
Week Two 
Wednesday  Lesson 03 
Hand in hand with number sense is place value
instruction, which helps us understand how a number can occupy
different places in an equation and represent different quantities
in doing so. The number 2 can be 2 or it can take the ten's place in
20 or the hundred's place in 200. Are you eager to learn how
Singapore Math brings place value instruction to life with place
value mats and disks? If you and your students love games, you're
sure to enjoy this concrete way of learning about place value. 
Friday  Lesson 04 
Addition is such a basic part of math, but
surprisingly, many students struggle with this operation. So today
we'll learn three impressive Singapore Math addition strategies.
We're going to use place value mats and disks to complete all of our
addition problems. We'll start with singledigit problems and then
move to multidigit problems and problems requiring regrouping. I
promise you'll love these place value mats by the end of the lesson!

Week Three 
Wednesday  Lesson 05 
Let's say that your students have been working
with mats and disks for a while, and they're ready for more advanced
addition strategies. That's when you'll be glad you know about
branching, lefttoright addition, and vertical addition, the three
strategies we'll meet in today's lesson. These strategies help
students transition from manipulatives to algorithms using their
number sense as a guide. 
Friday  Lesson 06 
Once students are comfortable doing addition,
it's time to move onto subtraction. It will probably come as no
surprise that we start this lesson with subtraction on our place
value mats. As we did with addition, we'll begin with singledigit
problems that don't require regrouping. Then we'll move onto
multidigit problems that don't require regrouping and those that do
require regrouping. It's fascinating how we use the place value mat
to do subtraction, and I think you'll soon fall in love with the
technique. 
Week Four 
Wednesday  Lesson 07 
Now that we've learned a little bit about
subtraction the Singapore way, we can move onto more advanced
subtraction strategies. Today, we'll practice subtraction with
branching and with the traditional algorithm. But guess what? It'll
be a cinch because you've already got a firm footing with your place
value mat. You'll really appreciate how branching builds on the work
we laid with the mats. 
Friday  Lesson 08 
Well, we've already mastered two operations using
Singaporean computational strategies! Next, we'll turn our attention
to multiplication strategies that double the learning. You guessed
it—we'll begin by using our place value mats to complete simple
multiplication problems. Only this time, we'll put groups of chips
on the board to represent our quantities. Stay tuned to see how
versatile our place value mats really are when we're doing
multiplication with and without regrouping. 
Week Five 
Wednesday  Lesson 09 
While the place value mats give us a great start
with our multiplication, they aren't the only strategy we use. In
this lesson, you'll meet model drawing, multiplication through the
distributive property, and area model multiplication, three
inventive strategies that teach us to look at multiplication in a
totally new way. All three of these terms may be totally new to you,
or you may already be familiar with a few of them. But what I can
promise you is that these are dynamite strategies your students will
love. 
Friday  Lesson 10 
Are you ready to tackle division? Often
considered the hardest of the four core mathematical operations,
division sometimes gets the short end of the stick. There are a
number of ways that we can make this operation click for our
struggling learners, and we'll start today where we always do: with
our place value mats and disks. Isn't it amazing that we can use
these simple mats for each of the operations? We'll begin with
singledigit division and then progress to division without
regrouping and with regrouping. 
Week Six 
Wednesday  Lesson 11 
Some of my favorite computational strategies live
in this lesson, where we take our division skills to the next level.
Today, get ready to meet the distributive property in action,
partial quotient division, and short division. Each of these
strategies has a Singaporean twist that makes it particularly
powerful and innovative, and soon, your students will be longing for
long division. No, really! 
Friday  Lesson 12 
Now that you have all these new computational
strategies at your disposal, I bet you're wondering, "Well, how do I
bring all of this together in my classroom?" That's just the
question we'll answer today. We'll create a portable toolkit you can
use to share Singapore Math with your students and other teachers at
your school, and at the same time, we'll discuss the most effective
way to slowly and methodically integrate the best of Singapore Math
into your current curriculum. 
To enroll in this course, click the Enroll Now button below:
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