Counting that Counts!
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Transcript of Counting that Counts!
Counting that Counts!
Counting Jar
Count the objects in the jar on your table 3 ways.
Record 3 ways to represent the number of objects you counted on your counting jar sheet..
Counting Jar
How did you represent the number you counted?
What are the ways you counted?
Were there any counting ways that were more efficient than others?
How are these ways connected to the way primary students learn to count?
Why is “counting” important?
Children’s understanding of a number is rooted in counting.
(Maclellan, 2001)
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What skills does our ACOS say students should acquire by the end of kindergarten?
When you count a group of objects, the last number you say tells how many there are in all.
Students who do not yet have cardinality recount the objects when asked, “How many?”
What does cardinality mean?
Count around the circle to determine the total number of students present.
Pause several times during the count to ask students how many people have counted so far.
Attendance: Count Around the Class
Students need to know the number names and their sequences-both forward and backward.
How do students need to count?
Rote Counting
Students should practice counting from any number.
23, 24, 25,26, 27…
30, 31, 32, 33, 34…
Starting at 0 5, 10, 15, 20…
Forward and backward 90, 80, 70, 60…
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Skip Counting by 2s, 5s, 10s, 100s
One number stands for one object that is being counted
One to One Correspondence
Keeping Track Students develop strategies for organizing
and keeping track as they count.
Numbers build by exactly one each time—smaller numbers are part of bigger numbers.
Children who have constructed the idea of
hierarchical inclusion know that if you have six rocks and you take one away, there are five, or if you add a rock, there are seven.
It’s the idea of one more and one less.
Hierarchical Inclusion
The number of objects is the same regardless of their arrangement or the order in which they were counted.
Conservation
Connect counting to cardinality
Understand that the last number name tell the number of objects counted
Connecting Numbers to Quantities
Counting a set of objects by equal groups
Make a set of a given number
Counts a set forward and backward
Counting by Groups
Subitizing is the ability to immediately recognize the quantity of a small number of objects without counting.
Subitizing
How many do you see?
How many do you see?
Counting On Cup
1.Work with a partner. Player 1: Turn over the top number card and put that number of counters in the cup.
2.Player 2: Roll the die and place that many counters next to the cup.
3.Together decide how many counters in all and fill in the record sheet.
4.Repeat until all the number cards have been used.
The Counting Jar Counting Around the Class Dot Images Counting Games
How could you differentiate these routines within your classroom?
Counting Classroom Routines
Watch the following video. Reflect on your learning and how you will
apply this in your classroom. Think about these questions as you watch
the video:◦ How do the students keep track or organize as
they count?◦ How do the students determine the total?◦ Which students have you noted need
intervention? Why?
Video Evidence
Hulbert June 2011 21
◦How did the students keep track or organize as they count?
◦How do the students determine the total?
◦Which students have you noted need intervention? Why?
Reflection Questions
Hulbert June 2011 23
1) What is formative assessment?2) How can we formatively assess students’ mathematical progress?
Formative Assessment
Counting Orally Counting Quantities Organizing a Count Counting by Writing Numbers
Observing Students as They Count