less than – Early Math Counts https://earlymathcounts.org Laying the foundation for a lifetime of achievement Tue, 11 Jul 2017 15:51:01 +0000 en-US hourly 1 183791774 Greg Maddux, The Hall of Fame, and Why Math Language Matters https://earlymathcounts.org/greg-maddux-the-hall-of-fame-and-why-math-language-matters/ https://earlymathcounts.org/greg-maddux-the-hall-of-fame-and-why-math-language-matters/#respond Thu, 31 Jul 2014 12:15:29 +0000 http://www.mathathome.org/blog1/?p=2951 Greg_Maddux_promoIt was a big weekend for a couple of Chicago’s favorite ball players.  Frank Thomas, also known as the Big Hurt, and Greg Maddux received baseball’s highest honor when they were inducted into the Baseball Hall of Fame. If you’ve never been to Cooperstown, the Hall of Fame is actually a “hall” in a larger baseball museum where plaques hang commemorating baseball’s greats.

So what is the connection between Greg Maddux, the Hall of Fame, and Math Language?

Maddux’s plaque reads, “the only hurler with 300 wins, 3,000 strikeouts and less than 1,000 walks.”

Did you catch it? Did you see it?

Math language experts will tell you that the plaque should read:

…fewer than 1,000 walks.

“Fewer” is used when referring to things or items in the plural, i.e., walks, home runs, strikeouts, RBIs, and errors.  “Less than” is used when speaking about items that can’t be counted, i.e., sunshine, rain, and happiness.

The writers of the plaques would have benefitted from early math language exposure – used correctly.  A couple of lessons in comma usage might also be a good idea.

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The Common Core – Counting and Cardinality Pt. 3 https://earlymathcounts.org/the-common-core-counting-and-cardinality-pt-3/ https://earlymathcounts.org/the-common-core-counting-and-cardinality-pt-3/#respond Tue, 18 Jun 2013 10:45:00 +0000 http://www.mathathome.org/blog1/?p=1799 The 3rd part of the first standard focuses on comparison greater than, less than, or equal to (the same).

Compare numbers.

  • CCSS.Math.Content.K.CC.C.6 Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies.1
  • CCSS.Math.Content.K.CC.C.7 Compare two numbers between 1 and 10 presented as written numerals.

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When small groups of objects are presented to young children, unless they are very different (1 toy car next to 10 toy cars), they may not be able to see the difference in quantity right off the bat.  Remember, they are confused by appearances so if you put 3 large cars next to 5 small cars, the child may believe that the 3 large cars are “more” than the 5 small cars, because they look like more i.e., they take up more room so in the child’s mind that is “more”.

There is a developmental process that needs to shift for the child to conserve quantity.  This often does not happen until the kindergarten year, and sometimes even after that.  However, that doesn’t mean that we shouldn’t provide children with as much experience as possible in comparing quantity.

When distributing items to children, ask them to compare who got more, who got the same and who got less.  Using their counting skills and one-to-one correspondence, they may be able to count the items and determine the answers.  If they are 3 and under, they may simply guess.  If they are able to count, you can use a number line to help them see which number is bigger or great and therefore, “more”.  The best way to reinforce the above concepts is to compare numbers frequently throughout the day, so you can maximize children’s exposure to the concepts, use as many visual cues as you can so they can access different ways of knowing, and give them credit for trying.

Make sure you provide lots of written numbers to be “read” around the room.  If your program is filled with written words, try and match the words that children are exposed with the same quantity of written numerals.  This will make a huge difference in gaining familiarity with written numerals.

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