##
* *Reflection: Developing a Conceptual Understanding
Counting 0-2 - Section 6: Closure

During this lesson I found the most important thing to remember is that just because a child can orally count to three or higher, it does not necessarily mean that they have a cognitive understanding of what the counting represents or that it is even linked to concepts of quantity. I have had kindergarteners who could count past ten upon entering the classroom, but could not count objects past three without guidance because counting incorporates more skill then just orally stating numbers. It requires an understanding of quantity, the connection between quantity and a symbol that represents that specific quantity. It is very important that you assume that the students can only orally rote count numbers but that they have no real cognitive understanding of what it means or represents. Closely guiding students through this process will build a foundation that will allow them to form deeper connections later.

*Never assume*

*Developing a Conceptual Understanding: Never assume*

# Counting 0-2

Lesson 1 of 11

## Objective: Students will be able to count 0-2 objects and write the number representing the corresponding quantity.

## Big Idea: Students learn how to count up to 2 objects independently by following oral directions and modeling given by the teacher. They also are exposed to the concept of zero.

*60 minutes*

Each day we begin our math block with an interactive online calendar followed by counting songs and videos.

**Calendar Time:**

My class does calendar on Starfall. This website has free reading and math resources for primary teachers. It also has a “more” option that requires paying a yearly fee. The calendar use is free. A detailed description of Daily Calendar math is included in the resources.

**Counting with online sources:**

We do daily counting practice to reinforce the counting skills. In the first two to three weeks of school, we watch two to three number recognition 0-10 videos (one to two minutes each) until all students can identify numbers correctly in random order. Depending on time, we may watch "Shawn the Train" and count objects with him. I may also choose to rotate songs, videos and counting depending on time and skill needs. As the students become more proficient at counting and number identification, I begin to add additional skills such as counting to 20 forward and back, counting by tens to 100 and counting to 100 by ones.

#### Resources

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#### Introducing the Goal

*10 min*

Front Loading:

First we create a bubble map for each number 0-2. I always do numbers one and two before leading the discussion on 0 because many small children do not grasp the concept of a symbol to represent a quantity of none. I have noticed over the years that students can more readily engage with this concept once they’ve discussed quantities they can subitize.

To begin the Number One Bubble Map, I write the number on the center of the chart paper and ask, *“What number is this?”* The majority of students will respond appropriately.

I ask, “How can you show me 1?” Instictfully, most students will hold up one finger. I draw that on the map.

I ask, “How else can we show 1?” There has always been at least one student in every class that has been able to provide an idea and I draw it. We use this same process for the numbers 2 and 0.

**The Counting Begins!**

First I introduce and explain the objective to my students. It is imperative that the students understand what they are being expected to be able to do and how they are going to do it. I have the students repeat to me what their goal is with the activity we are about to do. I also have them repeat the goal throughout the activity. I say, *“The goal today is for each of you to be able to count out a group of objects up to two. Today we will count up to two objects to help us reach this goal.”* I then demonstrate counting out two objects.

For this activity, I count out two snap cubes on my fingers. I say, *“I can count objects by giving each object a number in order.”* I count the objects for the students while I exaggerate counting each object. I then ask the students what the goal for today is. I randomly pull sticks from the stick jar for “volunteers” to answer. I look for answers like, “use numbers to count things,” “count up to two things,” “count how many.” I allow them to make brief, but accurate statements and will probe for more, “and how are we going to do that today?” (MP3)

I then have them state the I Can statement, “I can count objects by giving each object a number in order.” I then stress in order, “In order means I am counting like this: one (pause), two (pause)…(count to ten).”

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#### Activity

*20 min*

I clearly state procedures before we begin any activity. For this activity, I state the following:

*Hands stay in your lap until I ask you to touch the bags of blocks.*

*The blocks are to be used for counting today ONLY.*

*The blocks MUST stay on your table. I should not see any blocks on the floor during this activity.*

We then take our activity oath while raising our right hands, “I promise to keep my hands in my lap until my teachers says. I promise to keep the blocks on my table. I promise to use my tools appropriately. I promise to do my best work.”

I then pass out the bags of blocks while I have student helpers pass out white boards, dry erase markers and wipe-off cloths. Once all the materials have been passed out, we begin the activity.

**Guided:** I first ask them to show the quantities of one through two in consecutive order for the first three rounds. *“Show me one block."* (Everyone shows one block on their finger). We all count the block(s) on our finger(s) together to reinforce counting. *"Now write the number on your board and draw that number of blocks."* (I do the same as they write theirs). *"Okay, hold up your board.”* All students then hold up their board to show they have correctly written the number one and have drawn one cube. I scan carefully to make sure everyone has the correct numeral and the correct number of cubes drawn. I repeat this step for each number in consecutive order to two.

**Independent:** Now that we have practiced one through five together, I now ask for quantities in random order zero to two. I write on my white board along with the students, but I don’t share mine with them until everyone has written theirs and I have checked them and supported any necessary corrections.

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#### Exit Ticket

*5 min*

Each student is given a counting sheet and asked to count the objects in each box. They are to write the numeral that matches the number of objects in each box.

Collect the exit tickets as they are completed and sort them as they are collected to form identify students that may need small group support the following day or during intervention time.

#### Resources

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#### Closure

*5 min*

Gather students back into whole group on the floor and review counting zero to two with fingers. Ask students what they learned and if anyone had any special learning moments. *One of my students said she started numbering each block as she drew them. She demonstrated it on chart paper for the class. They were all very excited about what she showed them. *

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- UNIT 1: Make it Count!
- UNIT 2: It All Adds Up!
- UNIT 3: Sorting & Classifying
- UNIT 4: Learning Numbers 11-19
- UNIT 5: Make It Count!
- UNIT 6: Count & Compare
- UNIT 7: Take it Away! (all about subtraction)
- UNIT 8: Know Those Shapes!
- UNIT 9: Subtraction, Subtraction...We all love subtraction!
- UNIT 10: What Makes 10?
- UNIT 11: Same As
- UNIT 12: What Makes 5?
- UNIT 13: How Does It All Measure Up?
- UNIT 14: Fact Families
- UNIT 15: Add It or Subtract It?

- LESSON 1: Counting 0-2
- LESSON 2: Counting 0-5
- LESSON 3: Counting 0-7
- LESSON 4: Deal Me A Number
- LESSON 5: Counting Strategies: Arrays
- LESSON 6: Counting Strategies: Circles
- LESSON 7: Counting Strategies: Scatters
- LESSON 8: Counting Strategies - All (review circle, array, scatter)
- LESSON 9: Treasure Counts!
- LESSON 10: You Got it Pegged!
- LESSON 11: Fishing for Numbers