Number sense

Number Sense ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Value vs Quantity (Smart by Shel Silverstein) My dad gave me one dollar bill 'Cause I'm his smartest son, And I swapped it for two shiny quarters 'Cause two is more than one! And then I took the quarters And traded them to Lou For three times -- I guess he don't know That three is more than two! Just then, along came old blind Bates And just 'cause he can't see He gave me four nickles for my three dimes, And four is more than three! And I took the nickels to Hiram Coombs Down at the seed-feed store, And the fool gave me five pennies for them, And five is more than four! And then I went and showed my dad, And he got red in the cheeks And closed his eyes and shook his head-- Too proud of me to speak!

How Numbers are Used ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Components of Numeracy by Tom Richards Students must have a strong proficiency in all of these components for mathematical literacy. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],4. Subitizing a. Recognizing a set of items as a quantity 5. Cardinality a. The relationship between the numeral and its value (*** - there are 3 *'s) 6. Concept of Five and Ten (anchor numbers) a. Five and ten frames - patterns b. Combinations of five and ten

Visualization ,[object Object],[object Object],[object Object],[object Object],[object Object]

So, what is Subitizing ? ,[object Object],http:// www.youtube.com/watch?v =hK0E1hjW2ws

Relational vs. Instrumental Understanding Instrumental: Rule: Invert and multiply. Relational: What to do and WHY ! One rectangle

Relational vs. Instrumental Understanding Instrumental: Rule: Invert and multiply. Relational: What to do and WHY ! One rectangle divided into fourths.

Relational vs. Instrumental Understanding Instrumental: Rule: Invert and multiply. Relational: What to do and WHY ! What is ? There are 2 groups of 1/4 in1/2. of the rectangle

Math Talks (Look and Talks) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

"If you want your children to be intelligent, read them fairy tales. If you want them to be more intelligent, read them more fairy tales.” - Albert Einstein

Number Stories Goldilocks and the Three Bears

Number Stories The Three Little Pigs

Number Bonds ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Teaching Number Bonds ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],10 = + 9

Objective: Students understand and illustrate the concept of taking a number apart and then putting it back together - NOT memorize specific facts. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],How do you teach Number Bonds?

[object Object],[object Object],How do you teach Number Bonds? ,[object Object],[object Object],[object Object],[object Object],[object Object]

Sentence Frames ,[object Object],[object Object]

Sentence Frames become Number Bond Stories

Ten Frames (Making Tens) ,[object Object],[object Object],[object Object],http:// www.youtube.com/user/mathinfocus?blend =22&ob=5

Place Value ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],http://www.schooltube.com/video/91d8446891b086b58e00/Addition-Place-Value

Mental Math ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Mental Math ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Operation Examples (Notice emphasis on mental math) ,[object Object],Subtraction: http:// www.youtube.com/watch?v =3OxvXyc3oIs Multiplication: http://www.schooltube.com/video/226df98736454079bbcb/Partial-Products

Number sense

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Number sense