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Theoritical Background_operations

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Page 1: Theoritical Background_operations
Page 2: Theoritical Background_operations

Mathematics is everywhere

(Jackman,2005) When we talked about

mathematics, we thought about 1, 2, 3 and

+, -, ×, ÷. According to Jackman (2005),

most of what we do in daily lives are

related to mathematics. There are four

types of mathematical operations, addition,

subtraction, multiplication and division.

Page 3: Theoritical Background_operations

AdditionAddition• The concept of addition is to put things in 2 or more

groups together. For example, Alice has 2 apples, Melody has 3 apples. So, Alice and Ben have 5 apples altogether. The symbol of addition is “+”. Addition is related to subtraction. Strategies to solve addition problem can be reverse to solve subtraction problems.

Addition 3 + 2 = 5

Subtraction 5 – 2 = 3

5 – 3 = 2

+

Page 4: Theoritical Background_operations

SubtractionVan De Walle, Karp and Bay-Williams (2010) Van De Walle, Karp and Bay-Williams (2010) emphasized

that “subtraction names a missing part”. For example, Christ has 4 balloons, but 1 balloon burst. So Christ has

only 3 balloons left. As Professor Romina (2012) Professor Romina (2012) mentioned, there are 3 types of subtraction but not only ‘take away’. They include take away, missing addend,

difference and comparison. The symbol of subtraction is “-".Take away Melody has 10 pencils, she gives Kitty 5

pencils. How many candy does he have left?

10 – 5 = ?

Missing addend Alice has 2 eggs but she needs 5 eggs for baking cake . How many more eggs does she need?

5 -2 = ?

Difference and comparison

Sam has 4 books, Lily has 10 books. How much more does Lily than Sam? How much less does Sam has than Lily?

10-4= ?

Page 5: Theoritical Background_operations

MultiplicationMultiplication is related to addition. The concept of

multiplication is to add repeatedly or it can be explained deeper as repeated addition of sets with the same amount (Jamieson-proctor, 2011). The symbol of multiplication is

“×”.One bag has 3 apples, Alin has 4 bags of apples.

How many apples does Alin has?

4 X 3 = ?

3 + 3 + 3 +3 = ?

One group of 3 applesTwo group of 3 applesThree group of 3 applesFour group of 3 apples

Page 6: Theoritical Background_operations

Division Division is separating things into equal parts. According to MathIsFun (2011), the simple way to explain division is ‘fair sharing’. The symbol of division is “÷”. There are 2 different

types of division, quotation and partition.

Quotation: Quotation: A small quantity is subtracted from a bigger amount repeatedly to find out the total number of sets can be subtract.

Alan has 12 oranges, he wants to give 4 oranges to each of his friends.

How many friends can get Ian’s oranges?

12 ÷ 4 =?

PartitionPartition:: Separate a number into sets to find out how many in each set.

Alice wants to share her cup cakes for her 2 friends and she has 10 cupcakes.

How many chocolate will each friend get?

10 ÷ 2= ?