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Counting that Counts!

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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)

- 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?”

- 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.

- Students need to know the number names and their sequences-both forward and backward.

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…

- One number stands for one object that is being counted

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.

The number of objects is the same regardless

of their arrangement or the order in which

they were counted.

- Connect counting to cardinality
- Understand that the last number name tell the number of objects counted

- Counting a set of objects by equal groups
- Make a set of a given number
- Counts a set forward and backward

- Subitizing is the ability to immediately recognize the quantity of a small number of objects without counting.

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?

- 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?

Hulbert June 2011

- 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?

Hulbert June 2011

1) What is formative assessment?

2) How can we formatively assess students’ mathematical progress?

- Counting Orally
- Counting Quantities
- Organizing a Count
- Counting by Writing Numbers