This document provides an introduction to numbers and counting for students. It covers key topics like what is counting, using numbers to list objects and solve problems, and how numbers are used in daily life. Interactive activities are suggested to help students practice counting objects, identifying quantities, comparing numbers, and relating math concepts to real world examples. The goal is to establish a foundational understanding of numbers and their uses.
Systematic Listing, Counting and Reasoning: An Introduction to Numbers and Counting
1. This work is licensed under a Creative Commons Attribution 4.0 International License.
Systematic Listing,
Counting & Reasoning
01-LCR-01
2. In today’s class, we’ll cover
2
• What is counting?
• Using Numbers to:
o List many objects and count them
oHelp us think and solve problems
• Numbers and counting in daily life
Picture courtsey: http://topyaps.com/kids-friendly-drawing
3. Numbers
2
What is a number?
Can you tell me your favorite number?
1
2 5
7
3
4
8
9
6
7. Listing , Finding Patterns
2
Which numbers have same color?
12 5
7
3
4
8
9
6
How many times does your favorite color show up here?
8. Why do we need numbers?
2
• To identify ‘how much’?
• To relate digits or numerals to quantities
• To learn about sequence or order, what comes
before or after.
9. Thinking Mathematics
2
• Numbers, counting helps us to think
• When we think, we can imagine
• It helps to solve problems
• Thinking is useful - see story below
Do you remember the story of tortoise, the one who opened his mouth
without thinking? What happened?
12. Counting and order
2
Let us put all the dots in a line.
Is it easier to spot the gray dots now?
Putting dots in a line makes it easy to count them.
This is called a list or a sequence of dots.
14. Counting Shapes, Color
2
How many squares do you see?
How many squares have black dots or circles?
How many squares don’t have any dots or circles?
15. Counting students
2
• Let’s find out how many students are there in
the classroom
• Can you tell how many seats are there in the
classroom?
• Is the number of students same as seats?
16. Activity
2
• Everyone sit on your desks. No one gets up.
• The teacher will now pass an object (for e.g., a Duster or a
notebook) to the student nearest to her.
• Each student must take the object, then give it to next
student.Keep passing it on until all students get to touch the
object.
• Let the last student who touched the object keep it for now.
• Did everyone get to touch the object?
• How many children touched it just once? More than once?
• Now ask the last student to return the object to the teacher. Not
all students need to touch it. Ask them to pass it back as quickly
as possible by using only a few students.
• How many students touched the object while returning it to the
teacher?
17. Students with Same names
2
Are there any students in the class with the
same name?
How many?
How do we ‘identify’ students with same names?
Nicknames Last Name / Surname
18. Names starting with ‘A’
2
• What is the first alphabet of your name?
• Say it out aloud.
• All students whose name begins with ‘A’ raise your
hands.
• Let us count how many students have first name
starting with alphabet ‘A’.
19. Names starting with ‘S’
2
• Which student’s name begins with alphabet ‘S’?
• Say your name out aloud.
• All students whose name begins with ‘S’ raise your
hands.
• Let us count how many students have first name
starting with alphabet ‘S’.
20. Relating Numbers & Quantity
2
• Now we have both numbers: Number of students with
first names starting with ‘A’ and those starting with ‘S’
• Can you tell which number is larger?
21. Mathematics in daily lives
2
• To share food equally, for example - Pizza slices
• To share seats in the class, everyone gets to sit
• Movie Hall - everyone with a ticket gets to sit
• To read time on a watch, clock, or mobile phone
• To know what comes before, after or in between
22. Recap
2
• What did we learn today?
o Numbers
o Counting
oWhy do we need numbers and counting?
o Examples in day to day life