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    Conceptual Approaches to Teaching Division

    When observing a fifth grade teacher the other day, I noticed that while the students were engaged in many positive ways, they relied upon DMSB — Daughter, Mother, Sister, Brother — or some other mnemonic to remember the procedure for long division. They were also ignoring the value of the unit they were dividing. This is very common, but there are better ways, as Singapore Math shows us! Why avoid mnemonics like these to help divide? They lead to place value errors, because all digits are treated the same. They are no easier to remember these than an actual procedure.…

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    Can you solve this?

    Find the value of the shapes. Solve for each shape value. This puzzle is appropriate for grade 3 and up. Comment with your solutions or questions! Originally published on the Matholia newsletter. The solution will be coming soon!

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    What is more important than the right answer in primary mathematics?

    “There is no right or wrong in mathematics:” a quote from a memoir by the daughter of Fischer Black, a famed US mathematician, that she remembers him saying often. What does that mean? When we learn how numbers work, we can do so in one of several ways. The way many of us have been brought up to learn mathematics is through memorization and learning procedures, such as algorithms. One example is the long division algorithm, which is opaque to most students and is arguably one of the most difficult to learn. Teachers and parents alike can relate to frustration…

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    Now Blogging on Matholia!

    As of October 2018, I am publishing periodic blog posts and problems on Matholia.com, home of an interactive Singapore Math-based curriculum and web-based tools. Follow the posts here, and subscribe to the Matholia Loop emails, with free problems, here.  

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    Multiplication and Division Pattern Sheets from Eureka / Engage NY

    Based on the need of many older students to improve their multiplication and division fluency, I’ve compiled a set of pattern sheets from the fluency resources available in Eureka Math. These are different from random practice sheets because they are designed for students to recognize patterns and use previous facts to help them solve later facts. More about how this works can be found in the related lessons listed at the bottom of each pattern sheet. Find the pattern sheets to download free here: https://www.teacherspayteachers.com/Product/Multiplication-and-Division-Pattern-Sheets-and-Sprints-4129899

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    Getcher Epic Pi Day T-shirt Here!

    Hot off the presses, a new design is available to celebrate Pi Day 2015! Order soon to get yours in time, or order yours later to commemorate the fact you were there. They could also make great prizes for Pi Day celebrations, drawings, or math fairs! Shirts in many colors, mugs, hats, even baby-wear and ties are available. If you would just like a freebie, download my Pi Poster. And for classroom activities, visit this site to get them for $1.99. Happy Epic Pi Day!!

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    Meet me at NYSCATE!

    I’m excited to be presenting at NYSCATE on Tuesday morning, the last session of the conference. Even more exciting, my session is receiving a lot of attention; looks like we’ll have a packed house! I’ll be showing off Eureka, Common Core, Inc.’s excellent interface for the New York State math curriculum. I’ll also be demonstrating a number of apps and a few websites that can be useful in conjunction with common core math. Hope to see you there, but if not, check here for links to handouts and apps! Also, the reason for the long quiet on my blog is…

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    Quick Tip for Teachers: Organize Your Manipulatives

    One of the biggest challenges many teachers face when adopting a manipulative-heavy math curriculum, where pretty much every lesson starts with a hands-on component, is how to manage the pieces without sacrificing half the lesson time. Here is one way that may help. 1. Buy, or ask each parent to buy, as many extra pencil cases as you need for the manipulatives. These cases are usually inexpensive, $1 each or less. Make sure you ask for the kind with the window and for three-ring binders. 2. Have a set of number disks (or color tiles, or play money, or whatever)…

  • Math Education - Math facts - Math in Focus - Singapore Math - Teaching - Uncategorized

    Singapore Math Cheat Sheet: Starting a Child Mid-Year

    A teacher recently asked me a question: “What do I do with the student who is strong enough in his math concepts, but he has no idea about Singapore Math approaches like number bonds, and he starts our school late in the year?” For her and other teachers in the same boat, I’m making this “cheat sheet,” which is targeted at elementary school children who start mid-year in Math in Focus or Primary Mathematics. 1. Number Bonds Number bonds show the ways in which numbers relate to each other. They can also be thought of as “part-whole” pictures, in which you…