It can’t all be Singapore Math…

This tweet posted by the National Council on Teacher Quality (@NCTQ) caught my eye:

NCTQ_Tweet

Now, I’ve heard decomposing called “branching” but can’t remember ever seeing this in a Singapore textbook. Where did this problem come from?

It’s nice that NCTQ recognizes Singapore’s Math as “tops in the world.” But it’s discouraging to see methods and terminology that are not a part of the Singapore curriculum attributed to it. Especially in the context of the nasty debate about CCSS. And especially since Singapore’s math curriculum–with its rigor, coherence, and focus–is often cited as a basis for more rigorous standards, including CCSS.

The problem posted is based on the concept of “Number Bonds,” which calls for students to decompose numbers (this is the term used in Singapore and in all major Singapore Math® textbooks distributed in the U.S.). Below, I’ve posted some examples of how this concept is presented in Singapore Math® series available in both the U.S. and Singapore.

This matter points to my BIG concern: As publishers and others adapt Singapore’s Math for the American market, new approaches creep in. These often are not based on the curriculum that helped Singapore’s students go from mediocre to best in the world in a dozen years. I’ve written about this in my comparison of Singapore math textbook series available in the United States.

So my plea to NCTQ: please use examples from an actual Singapore mathematics text when citing the components that make it so successful. And feel free to ask if I can help you find those examples.

Number Bonds problems in Singapore Math® textbooks

Here are some materials covering Number Bonds and “decomposing” numbers from actual Singapore textbooks:

From My Pals are Here, the most-used materials in Singapore:

MPAH 3A Mental Addition

From the U.S. Edition of Primary Mathematics, available in North America since 2003:

PM US 3A Mental Addition

From the Common Core Edition of Primary Mathematics, released in the U.S. market in 2014:

PM CC 3A Mental Addition_0001

And finally, from Math in Focus:

MiF_3a_mental_math

 

UPDATE:

Ugh! One more similar tweet from NCTQ.

NCTQ_tweet_#2

 

 

 

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You Can Bar Model Anything!

nauty nice bar model

A fourth grader at a school I worked with this year included this on a Christmas card for her teacher.

Happy Holidays and Best Wishes for an Outstanding New Year!

 

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Strip Models, Tape Diagrams, Bar Models, Oh My!

NCTM 2015 Boston
NCSM 2015 conference

My session entitled Strip Models, Tape Diagrams, Bar Models, Oh My! has been accepted for both 2015 national conferences of the  National Council of Supervisors of Mathematics (NCSM) and the National Council of Teachers of Mathematics (NCTM). Lauri Susi of Conceptua Math is my co-presenter on these!

 


Now you can vote for the session to be held at the National Charter Schools Conference (NCSC) as well. We’ll reach a whole new crowd of Charter School administrators, teachers and founders!

The short description of the session:

Strip Models, Tape Diagrams, Bar Models, Oh My!NCSC15-Logo-Round5_1

These visual components sit at the intersection of Common Core, the Singapore Math® approach, and now technology! Learn why visual models for word problems are 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.

Participants will learn how to create visual models for word problems and then integrate model drawing into their instruction. Questioning techniques for guiding student understanding of problem solving will be modeled for participants. Attendees will learn how the use of visual models for word problems can help students build a deeper understanding of mathematical concepts. Attendees will see and try online modeling tools used to develop and assess students’ deep understanding of word problems.

Vote by December 19th to get this session on the schedule!

Vote for Cassy’s NCSC Proposal!

 

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Singapore Math® Schools Share Success Stories

Word Problems 2Excellence in Canadian math education — by way of Singapore

The Head of School at Trafalgar Castle School in Whitby, Ontario explains why his school adopted Math from Singapore and how it differs from other curricula:

We introduced Singapore Math to our school three years ago after researching a number of programs and determining that this method had the best achievement results internationally.

Singapore Math deliberately slows down the teaching of math, taking more time to ensure students grasp each concept before moving on. For example, students might spend two weeks on multiplying fractions, instead of spending a day or two and then coming back to it later.

Students use visuals aids such as bars and blocks before they start writing equations with “x” and “y,” so they achieve a deeper grasp of the actions they perform. This visualization is not deployed nearly as much in Canadian classrooms. In most settings, you would see a concrete-abstract strategy whereby multiplication would use physical objects then shift to the abstraction of lining up numbers in a multiplication equation. Singapore Math introduces a middle step between the concrete and abstract called the pictorial approach. The students draw a diagram of the concepts going on. This extends to diagraming word problems on paper rather than the often frustrating scenario of trying to picture a problem in their heads.

One happy result of all this is that when students reach algebra, they’ve already met the core concepts pictorially; indeed in most cases students in grade 6 are able to understand algebraic concepts that normally wouldn’t be grasped until mid-way through grade 8.

North Cross School transitions to Singapore Math

North Cross School is the first school in the Roanoke Valley (Virginia) to fully implement the Singapore Math® curriculum.

Beth Curran is the Mathematics Department Chair in the lower school at St. Anne’s-Belfield in Charlottesville and led the training at North Cross School. When asked about their conversion to Singapore Math she said “during our first year of implementation our students were saying ‘I understand math now.’ One of our second grade teachers commented, ‘At this point in the year (first trimester), I have never had students with such a solid understanding of place value.’ Upon conclusion of our first year, our math team felt that our students’ problem solving skills made huge leaps. We also noticed that students were persevering through difficult problems that in the past (or even the beginning of the year) they would have given up on. We didn’t teach perseverance, necessarily, but concluded that because students were learning and practicing skills to mastery that it equipped them with the tools to tackle challenging problems. They always had a place to start.”

North Cross Lower School Director, Deborah Jessee, believes that “a strong education in lower school builds a foundation of lifelong learning. It lays the pathways, creates excitement, and energizes students for the future. Singapore Math is a great way to enhance our lower school academic program and teach children not to be intimidated by new concepts and that it’s okay to explore other ways of learning. They learn to not be intimidated by a complex problem. When a student understands how to break down a problem and can figure out how to solve it, that academic skill translates well to other subjects and helps them prepare for ACT and SAT testing down the road.

[Editor’s Note: Over the past several years, I’ve had the honor of helping St. Anne’s-Belfield School with its Singapore Math adoption. I’m delighted that Beth Curran was able to take her experiences and successfully train teachers at North Cross School. Congratulations, Beth!]

Singapore math forced teachers to learn new way to teach

Learning Singapore Math in Henderson County (Kentucky) first took hard work by teachers; previous math approach “made cooks…this makes chefs.”

At the heart of the Singaporean approach to math is problem solving. This math curriculum doesn’t focus as much on memorizing procedures, but understanding numbers and how they interact, officials said.
It’s the how and the why, [third-grade teacher Evelyn] Cummings said.
Educators said this isn’t how mathematics has been taught in the United States.
“Before I would teach my students a process, instead of problem solving. Now, we’re teaching these kids to be problem-solvers,” Cummings said.
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Northport Elementary builds Critical Thinking with Math AND the Arts

Here’s an outstanding school I work with that is doing wonderful things with Singapore Mathematics…and now the Arts!

 I’ll share more about what these stellar students achieved in mathematics in coming weeks!

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