Basic Math

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EXTRA1AnalyzingStudents.docx

Analyzing Students’ Understanding of the Counting Principles 

Taylor: video of Taylor counting. 

Counting Principles 

Formative Assessment Of Counting 

What does the student know and understand about this principle? 

Use specific evidence from the video or vignette to support your claims. 

Ordered Sequence of Counting Numbers  (AKA Counting Sequence) 

**Always Include specifics about number ranges here

One to One Principle and Keeping Track (AKA One to one Correspondence) 

Cardinal Principle

(AKA Cardinality)  

Short Term Learning Goal(s)

Rambert

Rambert counted a row of 7 pattern blocks.  He counted “1, 2, 3, 4, 5, 7, 8.” He pointed to one pattern block each time he said a number name.    When asked, “How many?”  Rambert recounted the pile “1, 2, 3, 4, 5, 6, 7..”  

Counting Principles 

Formative Assessment Of Counting 

What does the student know and understand about this principle? 

Use specific evidence from the video or vignette to support your claims. 

Ordered Sequence of Counting Numbers  (AKA Counting Sequence) 

**Always Include specifics about number ranges here

One to One Principle and Keeping Track (AKA One to one Correspondence) 

Cardinal Principle

(AKA Cardinality)  

Short Term Learning Goal(s)

Gerda

Gerda counted the 7 lunchboxes on the back counter.  She pointed towards the lunchboxes at the back of the room as she swooped her finger across the row and said, “1, 2, 3, 4, 5, 6, 7, 8, 9, 10……

10 lunch boxes.”

Counting Principles 

Formative Assessment Of Counting 

What does the student know and understand about this principle? 

Use specific evidence from the video or vignette to support your claims. 

Ordered Sequence of Counting Numbers  (AKA Counting Sequence) 

**Always Include specifics about number ranges here

One to One Principle and Keeping Track (AKA One to one Correspondence) 

Cardinal Principle

(AKA Cardinality)  

Short Term Learning Goal(s)

Leelo

Leelo was reading a book about ladybugs.  She counted the number of ladybugs on one page  using the appropriate rote sequence from 1-15.  Each time she said a number name she pointed to one lady bug on the page but she counted some ladybugs more than one time.  Then she said, “Wow! There are 15 ladybugs on this page.”   

Counting Principles 

Formative Assessment Of Counting 

What does the student know and understand about this principle? 

Use specific evidence from the video or vignette to support your claims. 

Ordered Sequence of Counting Numbers  (AKA Counting Sequence) 

**Always Include specifics about number ranges here

One to One Principle and Keeping Track (AKA One to one Correspondence) 

Cardinal Principle

(AKA Cardinality)

   

Short Term Learning Goal(s)