Dispatches from 2015 National Math Educator Conferences

This week, I’m attending the 2015 Annual Meetings of the National Council of Supervisors of Mathematics (NCSM) and the National Council of Teachers of Mathematics (NCTM) in Boston. I presented Strip Models, Tape Diagrams, and Bar Models, Oh My! at NCSM on Tuesday and will do a similar session at NCTM on Thursday. I’m excited to share some resources that are now available!

conceptua-logo New bar modeling tool! Conceptua Math has a beta version of their bar model tool available to review. Check it out at http://www.bit.ly/barmodeltool.
They welcome your feedback.

kakoomaGreg Tang has a fun fact automaticity practice app – and it’s a game! And there are iPad apps! Visit Greg Tang Math for Kakooma. Greg claims the record for the addition puzzle is 8 seconds, set by a student.

RodelRodel Foundation in Arizona has released a fabulous new book that schools will want in their library: Math Power: Simple Solutions for Mastering Math.  This handbook is full of visuals and is written in English and Spanish. Here’s a page chock full of great definitions and pictorial models:

Math Power


Handouts from my sessions:

NCSM: #232 Strip Models Tape Diagrams Bar Models Oh My!

NCTM: #126 Strip Models Tape Diagrams Bar Models Oh My!

NCTM: #494.3 Filling in Knowledge Gaps: Critical lessons across grade levels 1-3 for students in grades 4-6

 

 

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Looking for the Best Singapore Math® Materials?

InformationOr resources to help students?

These new pages should help.

Every year, I respond to hundreds of inquiries from teachers, administrators and parents seeking more information about the Singapore Math curriculum.

Some want to learn more about Math from Singapore and why it is so successful. Others are looking for specific resources to use in the classroom or for home enjoyment. Others still are seeking to a higher level of knowledge so they can be more effective math coaches or trainers.

I’ve added three new pages to Singapore Math Source to steer you to the best available books for a variety of needs:

Singapore Math® Editions – at a GlanceWhich series should I buy? See all your options.

Best Books to Support Singapore Math in the ClassroomSupplemental books for use with students.

Best Books for Grown-Ups Wanting to Learn Singapore Math: Title says it all, doesn’t it?

-Image via Indexed

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Previewing NCTM 2015 Conference Singapore Math Sessions

NCTM 2015 header  2015BostonAM_590x90_WebBanner_p1

The NCTM (National Council of Teachers of Mathematics) Annual Meeting & Exposition program is now online and it’s time for my annual review of Singapore Mathematics sessions.

Due to Common Core and the progressions documents, I’ve included sessions on Tape Diagrams and Strip Models as well as those on traditional Singapore Math® strategies.  The number of overall choices is one more than the number offered last year.

Bad news? Most of the sessions overlap.  Below are my thoughts on which session to choose, if you have a conflict.


Thursday, April 16: 8:00 AM-9:00 AM – Three sessions conflict

#5 A Model Approach to Teaching and Solving Word Problems
Lead Speaker: Greg Tang

Visual models are the key to making word problems easier to solve at every grade level. We’ll explore a strategic progression from discrete, to part-whole, to tape diagrams, and then to double number lines that develops the algebraic skills needed for higher math.

#12 Empowering Students to Deconstruct Word Problems
Lead Speaker: MaryJo Wieland
Co-Speaker: Lisa Watts-Lawton

Solving word problems is not about underlining key words. Just as writers use organizers, mathematicians need specific models to deconstruct the meaning inherent in addition and subtraction word problem types.

#36.1 Teaching Number Sense with Math Buddies, the Singapore Online Resource
Exhibitor Workshop: Marshall Cavendish Education

Research shows that number sense is built on mastery of place value as well as number facts. We’ll discuss place value as a fundamental element of Singapore Math® as well as number bonds and part-whole thinking. We’ll make use of Math Buddies, a K-5 digital resource, to take students through the concrete-pictorial-abstract approach to number sense.

Recommendations:
Not familiar with Ms. Wieland, so can’t comment. Math Buddies is a great digital resource for Singapore Math, and it will also be modeled at their booth. I’ll be in Greg Tang’s session, he’s always engaging!


Thursday, April 16: 11:00 AM-12:00 PM – Two sessions conflict

#126 Strip Models, Tape Diagrams, and Bar Models, Oh My!
Lead Speaker: Cassy Turner – Hey that’s me!
Co-Speaker: Lauri Susi

These visual components sit at the intersection of Common Core, Singapore Math, and now technology! Learn why this visual model for word problems is so powerful, try some problems from the simple to the complex, and investigate web-based programs and iPad apps that will help anyone incorporate this effective strategy into their classrooms.

#144.4 Using Technology to Transform Singapore Math® in your Classroom!
Exhibitor Workshop: Marshall Cavendish Education

Join us to learn about Math in Focus® Digi+™. This teaching and learning tool will transform your class: facilitating class instruction, activities, intervention and differentiation solutions, and deepening the school-to-home connections with practice problems, immediate feedback, and parental support in a fun, interactive environment.

Recommendations:
Well, my session, of course!


Thursday, April 16: 2:00 PM – 3:00 PM – No conflict

#254.3 Meaningful Math Models and the Common Core
Exhibitor Workshop: Houghton Mifflin Harcourt

Come learn about math drawings and other math models that can be used in the classroom to show the mathematical aspects of a situation. Students make math drawings on their MathBoards, where parts of a drawing can be used while a student is explaining their solution method.


Friday, April 17: 8:00 AM – 9:00 AM – Three sessions conflict

#312 Models to Solve Word Problems: Visualization to See Mathematical Relationships
Lead Speaker: Andy Clark

Students struggle with word problems whether in elementary grades with a variety of whole number and fraction operations or the middle grades with ratio, proportion, and algebraic problems. This session will demonstrate the power of visual models to help students see mathematical relationships and solve even complex problems and applications

#321 Singapore’s Model Drawing Approach with a “Units” Sentence
Lead Speaker: Michael Winders

The Singapore model drawing approach can be used to solve a variety of word problems, but its true power lies in the way the process provides a bridge to algebraic thinking and techniques. I will show how a “units” sentence can be used to solve problems with diagrams, and how this idea transitions to purely algebraic solutions

#346 Representations with Tape Diagrams? What’s That?
Lead Speaker: Deborah Rutherford Lane

Tape diagrams help children to represent complex problems found in CCSSM testing. Bar models, in particular, work for all learners to make sense of complex word problems. This session will focus on how to lead children from beginning stages of whole number operations through fraction operation modeling from second up through sixth grades.

Recommendations:
-> I’ll be checking out Michael Winders’ session on units.
-> Head to see Andy Clark, one of the authors of  the Math in Focus series for a fast paced overview of Models


Friday, April 17: 12:30 PM – 1:30 PM – Two sessions conflict

#470 Concrete-Pictorial-Abstract: Singapore’s Approach to Math Instruction
Lead Speaker: Richard Bisk

Singapore’s students have excelled in international studies of math performance. The concrete-pictorial-abstract approach supports both conceptual understanding and procedural fluency. Abstraction gives math its power, but must be based on understanding. We’ll consider examples from place value, operations, problem solving, and even calculus.

#494.3 Filling Knowledge Gaps with Critical Singapore Math® Approach (Gr. 3-5)
Exhibitor Workshop: Singapore Math, Inc.

During Singapore Math® implementation, gaps in student knowledge can be a challenge. Upper elementary students frequently lack the foundation provided by the 1-3rd grade Singapore Math® Curriculum. In this session, you’ll learn the classroom-tested critical lessons and concepts students must master before jumping into their grade-level content.

Recommendations:
-> I’ll be presenting the Singapore Math, Inc. session for them, but I’d love to see Richy Bisk’s examples from Calculus.


Friday, April 17: 2:45 PM – 4:00 PM

#549.6 Developing Strong K-2 Number Sense with Singapore Math® Primary Mathematics
Exhibitor Workshop: Singapore Math, Inc.

Through the use of manipulatives and activities, this interactive workshop gives teachers practical understanding of concrete-pictorial-abstract (CPA) approach. Lean strategies for building strong number sense foundation, composing/decomposing numbers within 10 and regrouping within 20, and formative/summative assessments.


Saturday, April 18: 8:00 AM-9:00 AM – No conflict

#664 Ratio Tables and Tape Diagrams #notjustforRP
Lead Speaker: Melissa Waggoner
Co-Speaker: Lindsay Kelley

Students learn how to use ratio tables and tape diagrams in the Ratios and Proportional Relationships domain of CCSSM. Then what? In this interactive session, we will explore how these tools can be used to build procedural fluency from conceptual understanding in other content domains, including the Number System and Expressions and Equations.

Recommendations:
I’m intrigued.


See you in Boston! Email me if you’d like a tour at NCTM through materials or just talk all things math: Cassy (at) SingaporeMathSource.com

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Our Journey to Singapore: A Singapore Math Adoption Success Story

Beth Curran Preschool – 6th Grade Math Department Chair, St. Anne’s-Belfield School Singapore Math Teacher and Trainer

Beth Curran

For some time, I’ve wanted to share stories of schools that have successfully implemented a Singapore Math curriculum.

To present the first such case study, I asked my colleague Beth Curran to summarize the adoption process at St. Anne’s-Belfield School, an independent Pre-K to 12 school in Charlottesville, Virginia.

Please contact me if your school has a story to contribute.

 


 Our Journey to Singapore

by Beth Curran
Preschool – 6th Grade Math Department Chair, St. Anne’s-Belfield School
Singapore Math Teacher and Trainer

stab_logoIt all began with a strategic plan.  In 2011, St. Anne’s-Belfield School released its 2011-2016 Strategic Plan.  The first of six goals focused on teaching and learning in the 21st century.  Key elements to this goal included teaching with depth rather than breadth, teaching critical thinking and problem-solving skills, improving the quality of our computation, and ensuring that our pedagogy reflects researched based best practices.  The Action Plan that followed gave direct mention to Singapore Math as a curriculum to explore.

While teachers felt strongly that the students were leaving our Lower School (grades Kindergarten through four) very well prepared for Middle School (grades five through eight), we had to ask a tough question; could we be doing better?

Why Singapore Math?

As the Lower School Math Coordinator at the time, I was charged with taking a critical look at the Lower School’s current math curriculum and learning all I could about Singapore Math.  The more I learned, the more I was convinced that Singapore Math would be a great match for us.  It was almost as if the Strategic Plan was written with Singapore Math in mind.  The curriculum teaches concepts to mastery, focusing on depth rather than breadth.  Critical thinking and problem-solving are embedded within the curriculum, not taught as a stand-alone unit.  Concepts are introduced, practiced, and applied immediately to solve problems.  Computation and numeracy are also a major focus.  Check, check, and check!

Learning Village at St. Anne's-Belfield School

Learning Village at St. Anne’s-Belfield School

Not all of the homeroom teachers were as enthusiastic as I was.  It was a daunting task convincing them that learning a new math curriculum, on the tails of learning a new writing curriculum, was a good thing.  St. Anne’s-Belfield’s Head of School, being the visionary that he is, saw an opportunity to not only implement a new math curriculum, but to change the way math instruction is delivered at the Lower School level.  If we were going to ask our teachers to become Singapore Math specialists, why not hire and train dedicated math teachers?  And that’s just what he did.  Four math teachers were hired to deliver math instruction and these dedicated math specialists would co-teach math with the homeroom teacher taking on a supporting role.  This had an added benefit of cutting our student to teacher ratio in half during math class.

With the faculty in place and the Primary Mathematics materials ordered, we set out to train our dedicated math teachers in Kindergarten through sixth grade.  We contracted with Cassy Turner, Singapore Math Specialist and Trainer to work with our math teachers for an intensive one-week boot camp.  We learned the ins and outs of mental math and the bar model.  We asked questions, practiced, collaborated, practiced, designed an implementation schedule, and practiced.  Cassy’s enthusiasm and extensive knowledge left us feeling confident to tackle the upcoming year.  We knew professional development was crucial to a successful implementation and with that in mind we continued our relationship with Cassy throughout the year.  She made three more trips to the school, observing and teaching lessons and providing her guidance to keep us on track.

Successes and Challenges

Fast forward to today.  We are now a year and a half into our implementation. Our students are stronger problem-solvers than ever before.  Their computational skills have shown marked improvement.  Their overall sense of number and place value has increased.  Our students are confident and persevere through challenging problems.

We have done a lot of things really well.  We understood and placed value on professional development.  This is not a curriculum that can be picked up and taught from the Teacher’s Guides.  Most teachers did not learn math the way that a Singapore Math curriculum is taught.  Training is key.  If not trained, teachers will revert to teaching math the way they learned it.  Having a successful plan for ongoing professional development is critical to a successful implementation.

We put value on mathematics instruction at the Lower School level.  We saw the need for math specialists and took a huge financial risk to improve our instruction.

We implemented the curriculum in Kindergarten through sixth grade.  We felt so strongly about the benefits of the curriculum that we knew that even one or two years of exposure would be better than none.  This has been one of the most challenging hurdles of our implementation.  We worked with Cassy to anticipate and develop a plan for “back-teaching” missing skills.   In grades three through six, this plan guided us through our first year and fortunately, Kindergarteners through second grade students benefited from needing very minimal “back-teaching.”  Developing a relationship with a knowledgeable Singapore Math consultant is crucial.

If there was an area for improvement, it was parent communication and education.  We hosted a parent night early into the school year to give parents an overview of the curriculum and a brief introduction to some of the components that are unique to Singapore Math.  That wasn’t enough.  Parents didn’t learn math the way their children were now learning it. The focus of Singapore Math is to develop conceptual understanding before learning the mathematical steps or procedures.  Parents need to understand and support the school in teaching math this way.  Parent education is not an option; it is a requirement of a successful implementation.  In our second year, we designed a plan for parent chats spread throughout the year with topics including fact practice, mental math strategies, and bar modeling as a tool for problem-solving.  Your professional development provider or consultant can assist you in designing a parent education program that meets the needs of your school.

Our journey continues and our students are stronger math students as a result.  The first year was clearly the most challenging.  Our commitment to professional development, perseverance, and acceptance of this unfamiliar approach to teaching math has guided us and we are confident that each passing year will continue to confirm the benefits of teaching a Singapore Math curriculum.

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Happy Pi Day!

Pi-unrolled-720

Why Pi Matters – Steven Strogatz

The beauty of pi, in part, is that it puts infinity within reach.

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