Foundations of Number Sense
Foundations of Number Sense - SDE
Foundations of Number Sense - SDE
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<strong>Foundations</strong> <strong>of</strong> <strong>Number</strong> <strong>Sense</strong><br />
On-Site Training for 1-6 Educators
Mathematical achievement requires basic number sense and it requires an ability to solve<br />
problems. All too <strong>of</strong>ten, children in the U.S. are lacking in both areas, as international testing<br />
in recent years has shown. For our students to master these essential building blocks <strong>of</strong> algebraic<br />
thinking, educators need to learn new strategies for teaching them. That’s where the power <strong>of</strong> Math<br />
With Meaning comes in, providing your staff with targeted but flexible tools that will help every<br />
student truly understand and succeed in mathematics.<br />
Who Should Attend<br />
• 1-6 Classroom Teachers<br />
• Principals<br />
• Lead Teachers<br />
• Math Coaches/Mentors<br />
• Special Education Teachers<br />
• Gifted & Talented Teachers<br />
• Math Curriculum Specialists<br />
& Directors<br />
Participants Will:<br />
• Learn and practice specific foundational strategies for developing strong<br />
number sense<br />
• See how to build that number sense to teach computation <strong>of</strong> whole<br />
numbers and fractions<br />
• Master how to emphasize conceptualization before procedures<br />
(algorithms) through the concrete-pictorial-abstract sequence <strong>of</strong><br />
instruction<br />
• Hear how manipulatives and strategies for active learning can help you<br />
appeal to all learning styles and develop strong young mathematicians<br />
• Consider how to incorporate math strategies from the training into their<br />
existing math curriculums<br />
What Teachers Say<br />
“Wonderful, eye opening, overwhelming, exciting! I can’t wait to get back to school and start doing all these things.<br />
Lots <strong>of</strong> OMG moments that make so much sense. I wish I had been taught this way.”<br />
Rondi Kilham, grade 1 teacher, Beverly, MA<br />
“Loved it! I feel empowered and feel my students will benefit from this training.”<br />
Daniella Eliah, grade 6 teacher, Chula Vista, CA<br />
“It was inspirational. I now feel much more prepared to deliver a complete math package to my students.”<br />
Amy Ross, grade 5 teacher, Toronto, ON
<strong>Foundations</strong> <strong>of</strong> <strong>Number</strong> <strong>Sense</strong><br />
“<strong>Number</strong> sense” is an intuitive understanding <strong>of</strong> the relative values <strong>of</strong> numbers and the relationships among numbers. Strong number sense<br />
is built on mastery <strong>of</strong> place value, as well as automaticity with number facts. And research has shown that number sense is key to success with<br />
higher-level mathematics.<br />
During this hands-on training, every participant will be given the opportunity to learn and practice key strategies for teaching place<br />
value, computation, and mental math in order to establish strong number sense. The resulting in-depth understanding <strong>of</strong> numbers<br />
will provide a strong foundation on which to build all future math success.<br />
Program Outline<br />
In this 1-day session, designed as an introduction to<br />
key Singapore Math strategies, you’ll begin with a quick<br />
overview <strong>of</strong> the strengths <strong>of</strong> the Singapore approach.<br />
Find out why the success <strong>of</strong> the math students in this tiny<br />
island nation has attracted the attention <strong>of</strong> educators<br />
worldwide—and how you can emulate that success in<br />
your own classroom.<br />
Next, you’ll learn about the importance <strong>of</strong> place value<br />
as a fundamental element <strong>of</strong> any strong mathematics<br />
curriculum. You’ll see how computation can be taught<br />
through an understanding <strong>of</strong> place value. And, you’ll have<br />
hands-on experience using place value manipulatives that<br />
are yours to keep when the training is over.<br />
You’ll explore strategies for building number sense,<br />
starting as early as grade 1. You’ll understand why and<br />
how this approach places such a strong emphasis on<br />
number bonds and part-whole thinking. You’ll learn how<br />
this coherent approach to instruction builds on student<br />
background knowledge and teaches for mastery.<br />
You’ll see strategies you can immediately incorporate in<br />
your classroom that are based on the research developed<br />
by mathematics giants Jerome Bruner, Richard Skemp<br />
and Zolton Dienes. Plus, time will be spent explaining<br />
the foundational pieces that are necessary for students to<br />
understand when learning fractions.<br />
Throughout the training you’ll have the opportunity to<br />
practice techniques, ask questions, and exchange ideas<br />
with colleagues. And you’ll come away armed with some<br />
incredibly powerful strategies for building real number<br />
sense in your students.<br />
Why These Techniques?<br />
• Singapore students in grades 4 and 8 have scored at or very<br />
near the top—well ahead <strong>of</strong> the U.S.—in international math<br />
competency since 1995. We’ve seen the pro<strong>of</strong>, and we believe<br />
that the concepts made famous in Singapore should be used<br />
to teach math around the world.<br />
• A 2007 report from the National Mathematics Advisory<br />
Panel noted how critical it is for students to develop<br />
computational pr<strong>of</strong>iciency with whole numbers. This<br />
includes automatic recall <strong>of</strong> number facts and fluency with<br />
the standard algorithms <strong>of</strong> the 4 mathematical operations.<br />
Math With Meaning <strong>of</strong>fers many powerful ways to build<br />
this pr<strong>of</strong>iciency.<br />
Program Materials<br />
Place Value Disks<br />
These easy-to-manipulate<br />
disks provide hands-on<br />
practice for developing<br />
number sense. Color-coded<br />
according to place value, the<br />
140 foam disks allow your<br />
students to visually track<br />
what happens when they<br />
regroup numbers in both<br />
addition and subtraction.<br />
Place Value Strips<br />
Strip away the confusion<br />
about place value!<br />
These color-coded strips<br />
provide students with<br />
a visual representation<br />
<strong>of</strong> place value and help<br />
them develop number sense.<br />
Ten-Frame Cards<br />
Provide the visual support your<br />
students will need to understand<br />
number bonds to 10. These<br />
extra-large cards give the pictorial<br />
stage that bridges the gap<br />
between the concrete and abstract<br />
representation <strong>of</strong> a number.<br />
Comprehensive<br />
Resource Book<br />
As part <strong>of</strong> the training, every<br />
participant will receive a<br />
Resource Book containing all<br />
the practical strategies and<br />
ideas covered in the program.<br />
Also contained in the Resource<br />
Book is a Study Guide to help<br />
participants pass this training<br />
information on to their<br />
colleagues when they return to school. It will be a worthy<br />
addition to your pr<strong>of</strong>essional library that is sure to be referred<br />
to again and again!
About the Program Developer<br />
Char Forsten<br />
A former teacher and teaching principal with 18 years <strong>of</strong> classroom<br />
teaching experience, Char is now a popular presenter who works<br />
frequently as a consultant in classrooms across the country. Char<br />
has presented at numerous national conferences, and has traveled to<br />
Singapore many times to experience firsthand this ground-breaking<br />
approach in action. She is the author or co-author <strong>of</strong> many books,<br />
including Step-by-Step Model Drawing, Math Strategies You Can Count<br />
On, and Math Talk.<br />
How to book a program for your school:<br />
Call: 1-877-388-2054<br />
E-mail: success-systems@sde.com<br />
Turning theory into practice.<br />
Visit our website at www.SDE.com/success-systems