# Common Math Errors

## Here is another great site for math fact fluency!

It is free!  It is printable!  It is also informative!  Check it out!

Paper and Pencil Assessments…

Remember that automaticity is only one element of fact fluency! Don’t forget about flexibility and efficiency.

Happy Mathing!

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## Must Have Workstations: The Vocabulary Math Workstation

Math is a language!  If we want our students to speak it, we have to teach them the words.  So, have a vocabulary math workstation.  In the vocabulary math workstation you are trying to get students to own the vocabulary through games and activities  and math journal activities. Remember in the CCSSM students are evaluated on whether they are using everyday words or math words.  So, instead of number and answer…they should be saying factor, divisor, addend and quotient, sum, difference, product.  Be sure you speak math to your students, require them to speak math with you and each other and give them ample opportunities to practice the words.

Granite Math Vocabulary words are great because you can cut them up and play matching games with the words, the examples and the definitions.

Math Spelling City – There are several activities to do with the CCSS math aligned word lists!

Puzzlemaker.com – Make crossword puzzles and word finds.  Crossword puzzles are great and academically rigorous because you are giving students the definition and asking them to tell you the word.  Also, give them word finds, not just to find the word but to find, define, use it in a sentence, and give an example.

Set up tic tac toe games where the students have to choose a word and illustrate and define it.  (ckingeducation.com -test saavy)

Have students do interactive math journal activities with the words.

Happy Mathing,

Dr. Nicki

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## Division Strategies and Algorithms: Great Guided Math Lessons

Can you show your thinking about 250/50 in more than one way?  What about your students? Can they discuss this problem with numbers, words and pictures?

Division with Base Ten Blocks

Division with Virtual Manipulatives

More Division with Virtual Manipulatives (I would use real base ten blocks and then show the process with virtual manipulatives).

Area Model

Partial Quotients

Chunking

Short Division (Notice the use of her language?  How could you help describe this process by using language that is descriptive of the actual place of the numbers?)

Be sure to look at all the Schultz videos on different strategies and algorithms for division (scroll all the way down).  Also take a look at the other posts on strategies and algorithms in this series on operations.  I always encourage teachers to do this type of work in small guided math groups so that students can get a chance to explain their thinking and listen to the ideas of others.  Also remember that the new math common core is encouraging us to build a repertoire of strategies and algorithms for the basic operations.  Of course, teach the traditional algorithm as well, but teach it with conceptual understanding as well as procedural fluency!

Happy Mathing,

Dr. Nicki

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## 48÷2(9+3) = ? Great Critical Thinking and Debate Question!

NCTM tweeted that 98% of the people got it wrong!  What do you think?  Do the math, explain your thinking and then check your answer!

Happy Mathing,

Dr. Nicki

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## Get the Math: Videos about Using Algebra in Real Life

This is a great site  by PBS for grades 3 and up. Get the Math is a multimedia project about algebra in the real world. The site shows interviews and demos of how professionals working in fashion, videogame design, and music production use algebraic thinking. Then, they have opportunities for older students to “take on interactive challenges related to those careers.” It ties directly into the new Math Common Core, which places an emphasis on relating math to real life. The actual math problems are for older students but the videos are informative and engaging for many students.

Happy Mathing,

Dr. Nicki

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## Common Core Math Progressions: Detailed Guided Math and Center Activities

The Common Core folks have put up Math Progressions, which describe each domain in detail.  They only have progressions up for Operations and Algebraic Thinking and Place Value right now. There are pictures, diagrams and lots of good information. This is a must read for everybody!

Operations and Algebraic Thinking Progressions

Place Value Progressions

Happy Mathing,

Dr. Nicki

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## Great RTI Math Resource: Strategies for Guided Math Groups

RTI is a great structure for planning differentiated interventions!  I do a great deal of workshops on it around the country.  I find that people struggle with really knowing what research based math interventions look like.  As a nation we are really good at knowing and talking about research based literacy interventions!  We have to spruce up our knowledge on RESEARCH BASED MATH INTERVENTIONS!   Math research is alive and well (as quiet) as it is kept.

Here is a great resource by the Federal Government about how to implement research based math interventions called Doing What Works!

Following the recommendations of the National Mathematics Advisory Panel they state that RTI interventions should:

• For K–5, focus on whole numbers, including place value and addition and subtraction operations with whole numbers

• For 4–8, focus on rational numbers and operations with fractions, decimals, ratios, and percents and complex operations with whole numbers

• Explicitly teaching how to solve word problems using problem types with examples and information about teaching students to identify irrelevant information

• Daily practice on fluency with math facts during interventions and cumulative review

• Strategy approaches to fact teaching, including counting on, deriving facts using properties

This website is filled with resources such as powerpoints and videos.  It also has a great deal of information about screening and monitoring as well as actual implementation at all 3 levels.

Happy Mathing,

Dr. Nicki

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## This Ruler Practice Rules! Great Center Activity

This is a great site for students to practice reading a ruler.  See this great link!

Did you know that:

The standard English ruler, or Imperial ruler, is divided into inches. Each inch is divided in half. Each of those halves is divided in half to give you quarters. Each of those quarters is divided in half to give you eighths. And each of those eighths are divided in half to give you sixteenths. Some rulers will even show you thirty-seconds and sixty-fourths.

In this great game you can use adjust the “Increment Levels” so that students can practice measuring different sizes.

Happy Mathing,

Dr. Nicki

Happy Mathing,

Dr. Nicki

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## Engaging Test Prep Activities: Great for Guided Math

Christine King is doing some great work around developing thinking and reasoning and test prep!  She has an excellent blog (www.testsavvymath.blogspot.com) and some cool stuff up on her website at www.ckingeducation.com under Math Resources.  I would like to highlight a few of Christine’s Test Savvy Strategies!  The first one is Find and Fix My Error.  In this strategy students are looking for errors and then fixing them.  It’s a brilliant strategy and a way to get students critically thinking about the math!  See the podcast and lesson overview below.

Podcast: Find and Fix My Error (podcast)
Lesson Overview: Find and Fix My Error

P.S. These aren’t just for test prep…I’ve been playing many of them with the k-2 bunch and they love them.  Children get games and they learn well through them!
Happy Mathing,
Dr. Nicki
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## More about Bar Diagramming: Great Strategies to Teach In Guided Math Groups

Here are 5 good resources that teach you how to use bar diagramming to work out word problems. Pull your students in guided math groups and begin to teach them how to diagram out problems.  Give each group problems that are appropriate for their learning level.  They do this in Singapore, which has some of the highest math scores in the world.  Bar diagramming gets students to focus on the relationships in the problem instead of just heading straight for an operation.

Resource 1

Resource 2

Resource 3

Resource 4

Resource 5 (good pdf on division in general and the first part discusses bar diagramming in particular)

Happy Mathing,

Dr. Nicki

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