In my Kindergarten classroom, every morning my students
count how many days they have been in school. First, the teacher will state how
many days they have been in school this year and then she will ask the students
how to change the number on the board. The students then have to decide to add a
one to the tens or the ones column. The purpose of this math activity is to get
students to practice in counting and becoming familiar with the ones and tens
column. This routine gets the students to use their basic understanding of
simple counting and leads them to begin thinking about a more difficult concept
that will eventually help them with more difficult tasks like adding bigger
numbers. I think this task is done well during the morning routine in calendar
time. But the teacher could make an additional math lesson with more difficult
numbers to make sure that the students understand when to add to the ones or
the tens column.
One anticipated student response would be if the student
would suggest that we make the 8 a 9 instead of the correct answer which is
making the 5 a 6. Another way to answer this problem is the student could know
that 6 is one more than 5 and the ones column must change to a 6. To solve this
problem, the student must decide which number they need to change, either the
tens or the ones column, then they must tell the teacher how many Popsicle
sticks must be in the column they chose.
This math task tells the teacher that the student can
complete simple addition and how a basic understanding of the ones and tens
column. These concepts are important because students will eventually need to
complete more difficult variations of these types of problems. Another way to
advance student thinking is that the teacher could develop a math lesson about
the ones and tens column. This would show the teacher that the students are
able to complete more difficult numbers then just adding one to the ones
column. The teacher could also ask the student why they knew to add to one to
the ones column and not the tens column. This would cause the student to think
about the differences between the ones and tens column.
How might you construct a task with a high cognitive demand around this task / these materials? You talk of some ways to advance potential thinking, but what is an actual task that you might create? How would you introduce it? What would the big idea be? What solutions might you anticipate?
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