How is the term borrowing in subtraction confusing for children to learn?
While helping my grandkids when they were first learning subtraction, the word "regrouping" was the confusing word. When I used the word "borrowing" and then demonstrated it, they understood. So my question for you is this: Is the term "borrowing" confusing for children?
Check out these sites.
http://www.youtube.com/watch?v=D5mXVjbpjxY
http://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/subtraction-3---introduction-to-borrowing-or-regrouping
http://www.proteacher.org/c/325_subtraction_with_regrouping.html
The term "borrowing" in subtraction can be confusing for children to learn because it involves a multi-step process that requires a solid understanding of place value.
When children first learn subtraction, they typically start with simple problems where they don't need to borrow. However, as they progress to more complex problems, borrowing becomes necessary to subtract larger numbers. Borrowing involves taking from the next column to make sure there is enough value in the current column to subtract from.
For example, let's say we need to subtract 5 from 3 in the ones column: 3 - 5. In this case, borrowing is required because we cannot subtract 5 from 3. So, we borrow 1 from the tens column and add it to the ones column, making it 13 - 5. Now we can subtract 5 from 13, giving us the correct answer of 8.
The confusion arises because children may struggle with understanding the concept of borrowing and carrying values across columns. It requires them to mentally manipulate numbers and visualize the process.
To help children understand and overcome this confusion, it is important to use concrete methods and visual aids. Manipulatives, such as base ten blocks or counters, can be used to represent the numbers and physically demonstrate the borrowing process. Drawing out the columns with place values can also provide a visual representation of the steps involved.
Practicing with various examples and providing repeated explanations can help children grasp the concept of borrowing in subtraction. Gradually, as they gain more experience and confidence, they will become more comfortable with the process.