Not any more!
Some of you may be WAY ahead of me on this subject but I've been doing a little research on number lines and here's what I've found:- Number lines are one of the most over looked tools in the classroom. When used properly it can help students improve number sense, operational proficiency, mental arithmetic, understand number relationships, and the position of numbers.
- In the Common Core, number lines are introduce in 2nd grade. (2.MD.6)
- The first way children encounter 'number lines' is as a line or row of numbers. This is NOT really a number line but is VERY useful and is called 'counting lines'. Some call it 'counting paths'.
- There are important differences between number lines and counting lines that PreK, K, and 1st grade teachers need to understand.
- Making a careful transition from counting lines to number lines is important. Number lines are not based on counting, but on measuring from a fixed point.
- The fixed point or origin is 0. The number that labels every point is the distance from the origin to that point.
- A counting line does not have zero. So you can't show 5-5=0.
- Counting lines cannot show fractions or decimals or negative numbers.
This is an example of a counting line.
This is an example of a number line.
I found these great articles. You might want to take a look. (They are pretty short, not BIG research papers to muddle through.)
http://www.eduweb.vic.gov.au/edulibrary/public/teachlearn/student/mathscontinuum/readnumberlinewhole.pdf
http://bridges1.mathlearningcenter.org/files/media/rekenrek/numberline_overview.pdf
http://www.medindia.net/news/Research-How-Kids-Adapt-Their-Mental-Number-Line-Affects-Their-Memory-for-Numbers-73959-1.htm
http://riverdalemontessori.wordpress.com/2012/02/20/the-magic-of-the-number-line/
So what...? My daughter taught me that. She says, whenever she learns something new, she asks herself "so what...should I do with this new piece of information? So what... should I change? So what... am I going to do differently? (Don't you LOVE it when your children become so wise and can teach YOU things!)
I don't want to make this post really LOOOOONG. So this is part one.
Come back tomorrow for my SO WHAT!!
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