New Resources, New Workshops

Printable Math ResourcesOver the last ten years, I’ve collected a lot of materials that I love to use in the classroom. Teachers are always asking for new ideas and games so I’ve created a new page: Favorite Printable Math Resources. Feel free to email your favorites to be included on this page!

 

 


2016 dates for my BER seminar, “How to Use the Best Strategies from Singapore Mathematics to Strengthen your Math Instruction” have just been released. Updated with March dates on 10/14/2015!

This overview of Singapore Math® strategies will put your students on the road to success with number sense, computation and problem solving. (Plus you a get a comprehensive resource handbook to take back to your classroom!)

Want to see Cassy, but a city near you is not on this list? If so, complete the form on the Bring Cassy to my School/Area page or send her an email.

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Fall 2015 dates for Model Drawing BER Seminar

Bar Modeling is my Force

Best. Seminar. Comment. Ever.

Here are the just-released Fall 2015 dates for my BER seminar “Boost Students’ Math Problem-Solving Skills Using Bar Models, Tape Diagrams and Strip Models (Grades 2-6)

Save the date!

A whole day of problem-solving with Bar Modeling, Tape Diagrams and Strip Models PLUS that handbook for your own home enjoyment! (- with the answers and fully worked solutions!)

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“How to Use the Best Strategies From Singapore Mathematics to Strengthen Your Math Instruction” (BER) will have 10 dates in spring of 2016 – I’ll update when available.

Your city not on the list? Contact me and I can bring my Singapore Math® workshop(s) to your school or district – email Cassy (at) singaporemathsource.com

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On the Topic of Math Sprints and Anxiety

Reflecting on my time at the two national math educator’s meetings, one interesting dichotomy appeared over timed fact tests. On the one side was Jo Boaler stating that timed tests are the root of math anxiety. Pushback came from others, most notably Greg Tang and Scott Baldridge pointing out that kids are timed in real life. They are put under pressure in real life. Students should learn from these experiences, not freak out over them.

It’s a powerful discussion: How do we get kids from fluency (I can use strategies to solve 7 x 8) to automaticity (I just know 7 x 8)? Do we need to get them to automaticity? Do timed tests create math anxiety? Is there spelling test anxiety? Should the key anxiety word be “test”, not “math”?

This conversation appeared recently on twitter after someone posted the “How to Give a Math Sprint” pdf from this site:


Yep, I’d be worried if kids who couldn’t make connections were timed, too.

I’m a proponent of Math Sprints; thoughtfully structured timed tests designed to practice one skill. Sprints are not your typical timed test. Students compete against themselves to improve the number of problems completed in one minute. Then the sprints are thrown away, not recorded in a grade book. They are practice. Period. And just one way to practice math facts.

Do Sprints harm students or cause math anxiety?

Not when administered correctly. I work with a school for students with ADHD and learning disabilities. Initially, teachers there said things like, “I can’t time my kids, they are slow processors”. It turns out that students at this school LOVE sprints. They can always improve by at least one problem on the second sprint. With all the content flying at them, practicing facts is one thing they can do and feel successful with.

Allison Coates runs the non-profit Math Walk Institute that works with schools and students to build a bridge to Algebra.

In every school we’ve ever worked, nearly all students enjoy sprints. They don’t see them as tests if the teacher doesn’t present them as tests. They see them as another fun game they can play against themselves (or against the teacher). Practice makes permanent their knowledge, and students love knowing they have knowledge. Knowledge is power.

Are Sprints from Singapore?

Nope. Sprints were created by Dr. Yoram Sagher as a fluency program to work with any curriculum. I’ve considered them a way to compensate for differences between Singapore and the U.S. In Singapore, parents drill fact fluency while schools teach the conceptual understanding. It’s not unusual for a first grader in Singapore to know all their math facts. It’s the school’s job to then get the understanding of multiplication into such a student. Contrast that with the U.S., where it is less likely that parents practice math facts at home with their child. Few American programs include a fluency component, often farming it out to the web or an iPad app.

Scott Baldridge has a great blog post on sprints: Fluency without Equivocation. I suggest you read it now.

My favorite Sprint books are Differentiated Math Sprints as they offer two difficulty levels with the same answers.

Eureka Math Sprints are aligned to Eureka Math (referenced in Scott Baldridge’s post above).

Wondering about the emphasis on math facts? Read: Why Mental Arithmetic Counts: Brain Activation during Single Digit Arithmetic Predicts High School Math Scores

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Slides and Handouts from my NCSM/NCTM Presentations

NCTM model session It was so fun to present not one, not two, but three, sessions at recent national math educators’ annual conferences in Boston.

At both the NCSM and NCTM**, Lauri Susi and I presented “Strip Models, Tape Diagrams, and Bar Models, Oh My!” Slides that accompanied that presentation are online. Some slides don’t have the bar models on them as we drew them in during the session.

 


NCTM Singapore Math Presentation

In addition, at NCTM I presented an Exhibitor Workshop entitled: Filling Knowledge Gaps with Critical Singapore Math® Approach (Gr. 3-5). Thanks! Singapore Math, Inc. for inviting to speak on your behalf!

 
**National Conference of Supervisors of Mathematics and National Council of Teachers of Mathematics

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About that “Singapore Math” Problem that has Gone Viral

If you spend much time on the internet, you are probably aware that a math problem from Singapore is in the news. It challenges readers to determine Cheryl’s birthday based on an impossibly small set of clues.

In a report, the New York Times compared this problem to that of the “color-changing dress that blew out the neural circuits of the internet.” The story’s headline: “A Math Problem from Singapore Goes Viral.” Wow. The world’s response to the “Cheryl’s Birthday question” has inundated my “Singapore Math” Twitter feed. The problem:SASMO_Cheryl_s_Birthday_jpg

Are you smarter than a ten 14-year old?

Some initial reports suggested that this “Singapore Math” problem was appropriate for primary grade students. The Guardian initially asked: “Are you smarter than a Singaporean ten-year old?” Fortunately, the true source emerged rather quickly. This problem was part of a Math Olympiad challenge that organizers thought could be answered by only 40% of the most gifted high school students. This prompted the Guardian to instead ask: “Are you smarter than a Singaporean 14-year old?”

As we now know, this is not really a problem asked in any classroom using a Singapore Math curriculum. In fact, it isn’t really a math problem; instead, it is a logic problem. And a really challenging one at that.

Many of those who commented said something to the effect that, “it made my brain hurt.” Others chose to rant about Cheryl; this was the approach of the New Yorker in its Daily Cartoon for April 16. [Need help with the problem? See “How to Figure Out Cheryl’s Birthday” by New York Times science writer Kenneth Chang.]

In the midst of all the noise, there were a few responses that offered some clarity.

In a video clip, the Globe and Mail said that the problem, “tapped a nerve…our math phobia.” John Mighton, founder of Jump Math says that this is a universal problem.

I KNOW that math anxiety is a reality, and one that I address in almost every encounter with teachers and parents.

Why Singapore’s students are so good at math

But most insightful of all may be the assessment of Libby Nelson of Vox.com. Early in her piece, she says:

But the problem isn’t nonsense: it’s actually a test of logical reasoning skills. And questions like these help explain how Singapore’s students have come to rank as some of the best problem-solvers in the world — by being taught math differently, and well.

A 2005 study from the American Institutes for Research praised Singapore’s method of teaching math, saying it was much better than the American method. On reason was that word problems and real-world examples were used not just to show students that math is important outside the classroom, but to illustrate how math works.

This brings to mind my favorite quote about Singapore’s approach to teaching math from Dr. Yeap Ban Har:

We’re not teaching math, we’re teaching thinking through the medium of math.

Nelson discusses how Singapore’s students acquire problem-solving skills and become so good at math before asking whether Singapore’s methods can work in the U.S.

After working with more than 100 schools using Singapore’s Math curriculum, I know the answer to Nelson’s last question is an unqualified “YES.”


Ready for Another Problem?

The Singapore and Asian Schools Math Olympiads (SASMO), creators of the Cheryl’s Birthday problem, have posted a new challenge. It also features Cheryl, this time with new pal Tom. Can you figure this one out?

SASMO Challenge

The problem and solution are on SASMO’s Facebook page.

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