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Courses >
Math, Philosophy, & Science > 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!
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Syllabus:
A new section of each course starts monthly. 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.
All courses run for six weeks, with a two-week grace period at the
end. Two lessons are released each week for the six-week duration of
the course. You do not have to be present when lessons are released.
You will have access to all lessons until the course ends. However, the
interactive discussion area that accompanies each lesson will
automatically close two weeks after the lesson is released. As such, we
strongly recommend that you complete each lesson within two weeks of
its release.
The final exam will be released on the same day as the last lesson.
Once the final exam has been released, you will have two weeks to
complete all of your course work, including the final exam.
| 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.
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| 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.
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| 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.
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| 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 single-digit
problems and then move to multi-digit problems and problems requiring
regrouping. I promise you'll love these place value mats by the end of
the lesson!
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| 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, left-to-right 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.
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| 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
single-digit problems that don't require regrouping. Then we'll move
onto multi-digit 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.
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| 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.
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| 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.
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| 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.
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| 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 single-digit division and then progress to division without
regrouping and with regrouping.
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| 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!
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| 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.
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This
course includes a knowledgeable and caring instructor who will guide
you through your lessons, facilitate discussions, and answer your
questions. The instructor for this course will be Anni Stipek.
 With
over 23 years in education, Anni Stipek has taught every grade from
kindergarten to eighth. While all the grades and subjects provide their
own challenges and rewards, math is the subject that Stipek fell in
love with . . . the same subject that was causing her students so many
problems. So she turned to a Singapore Math seminar for some answers. A
few days later, she was hooked on this revolutionary curriculum that
gets real results. Over the years, hundreds of teachers and students
have learned Stipek's Singapore Math secrets.
Requirements:
Internet access, e-mail, the Microsoft Internet Explorer or Mozilla
Firefox Web browser, and the Adobe Flash and PDF plug-ins (two free and
simple downloads you obtain at http://www.adobe.com/downloads by
clicking Get Adobe Flash Player and Get Adobe Reader).
To purchase this course, click the Enroll Now button below:
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