There are three balls in the packet, there are ten trees down the lane, there are six ice creams left… all these statements tell the exact number of items present. We can tell the exact number by the counting process. Counting can be defined as the process to determine the number of elements in a finite set of objects.
Studies suggest that humans have been counting over fifty thousand years primarily used in ancient culture to keep records of the number of group members, number of tools, or number of animals. The traditional way of counting consists of continually increasing a counter by a unit for every element of the set verbally, mentally or by writing, in some order, while marking (or displacing) those elements to avoid counting the same element more than once, until no unmarked elements are left.
Verbal counting is speaking every number out loud (or mentally) to keep track of progress. Objects which are already present are often counted by this method, instead of counting a variety of things over time.
Counting can also be in the form of tally marks, each number is marked for and then counting all of the marks when done tallying. When counting objects over time it is quite useful, for example in cases where something occurs a number of times during the course of a day. While normal counting is done in base 10, tallying is base 1 counting. Computers use base 2 counting (0s and 1s).
When counting small numbers counting can also be done using fingers as finger counting. Children are initially taught finger counting as it is easy and useful in simple mathematical operations. Unary notation, that is one finger = one unit is used in finger counting thus it is limited to counting 10 (unless you start in with your toes).
Various devices such as hand tally counters and abacuses can also be used to facilitate counting.
Enumeration is a related term that uniquely identifies the elements of a finite set or infinite set by assigning a number to each element.
Here we will learn the counting 1-100.
The numbers which can be used to count things are counting numbers. It does not include zero and negative numbers.
Counting can be of different forms that js counting by one, counting by twos, counting by four, etc. Counting can be done using all the natural numbers. Natural numbers are positive integers other than zero such as 1,2,3……
In mathematical terminology, words used for counting are called cardinal numbers while those for ordering are ordinal numbers.
The number of counting numbers is infinite. Both even and odd numbers are used in counting. Counting tables and counting charts make it easy to learn to count.
Counting by 2 - 2,4,6…….
Counting by 4 - 4,8,12…...
Counting by 6 - 6,12,18….
Counting by 5 - 5,10,15….
and so on.
Counting by any number involves increasing or adding that number to previously occurred number at regular intervals.
Counting numbers for kids 1-100 are very important as they are fundamental numbers that are further used in calculations and other operations.
Inclusive counting is usually used for referring time in roman languages. In English usually exclusive counting is used. Suppose we have to count eight days from Sunday then using normal or exclusive counting, Monday will be the first day, Tuesday second and so on and the eighth day will come out as Monday whereas if doing inclusive counting Sunday itself will be the first day, Monday second day and by this process, next Sunday will be the eighth day. In English fortnight as the name suggests stands for the duration of fourteen nights whereas the french phase for fortnight 'quinzaine' stands for fifteen days. In music also inclusive counting is followed as the going up one note means the second interval, going up two notes means the third interval and so on…... going up seven notes means is an octave.
1. What is Counting on Strategy?
Counting on is a mental maths addition strategy taught to students in the beginning for fast and accurate calculations. It is an easy technique for students to grasp and is generally taught as an introductory maths strategy. It says that one should start with the biggest number in an equation, and then count up the other number or numbers from there. For example, to add 6+3, you want students to start with the “6” in their heads, and then count up, “7,8,9.” This is to discourage students from counting like this: “1, 2, 3, 4, 5…..6, 7, 8,9".However, when dealing with the addition of higher numbers it is not very helpful but is an effective beginning strategy for young students.
2. What are the Activities to Learn to Count?
We can introduce counting to kids by looking at the things and objects in our surroundings and asking them 'how many objects are there'? Kids use their fingers to learn counting. They may also use counters to count all the objects. Once they can easily count things up to 5, they can be gradually taught to count larger quantities using other counting techniques. To learn counting numbers, students can use pictures, balls, toffees, etc. to count, Kids can learn counting numbers by playing games or using fun drawing and coloring activities and worksheets. Further, they can also count forward or backward to practice counting.