This
week in my classroom the students were practicing counting as a class.
The teacher had all of the students sit at the carpet and face the
overhead screen. Then, she used two dice to provide the numbers the
students had to add. One of the dice had dots on it and the other dice had
numbers on it. The teacher would roll each dice under the overhead and
then ask the students what the answer was. Below is an example where one
of the students answered when the teacher rolled a number 2 and a dotted 6.
Teacher:
“Okay Vincent, what is the first number?” As she points to the dotted number.
Vincent:
Comes up to the overhead screen and points as he counts the dots. “One. Two.
Three. Four. Five. Six.”
Teacher:
“Good job. What number is this?” She points to the other dice.
Vincent:
Pauses. “Two.”
Teacher:
“So, if you add two and six, what do you get?”
Vincent:
He holds out two fingers and then puts up the other fingers one at a time until
he counts six more. “Eight.”
Teacher:
“Good job Vincent. Did everyone see how Vincent got eight?”
By
analyzing this example, I think that Vincent has a great idea about counting
up. He starts with the number two and then adds six more fingers, which were
represented in the addition problem by the dots on the dice. Although he did not choose to start counting
with the larger number, his ability to come up with the correct answer still
shows that he understands how to join these two numbers together.
Try to reference your mathematical content knowledge (e.g., the CGI) to describe even more precisely what the student is doing / the strategy he is using. Also, think about what task you might present next to encourage him to explore a different strategy or representation.
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