Why do we make arithmetic mistakes?

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In summary: For one, computers are designed with shortcuts and error-handling mechanisms that allow them to carry out complex operations with little or no error. In contrast, the human brain is not error-proof, and often makes mistakes when it tries to do things that are outside of its normal capabilities. Even simple arithmetic can be difficult for some people. This is probably because the brain needs to store a lot of information temporarily in order to solve problems like this. Another problem with the analogy is that computers are often programmed to do things in a specific way, even if that way is not the best way. For example, a computer might be programmed to multiply two numbers, but it is possible to multiply them using the distributive property (also known as the comm
  • #1
sudu.ghonge
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I know the question does not strike as being specific to physics, but please, give it a look.
Human brains are considered complex computing machines and are rightly so as seen by the examples around us. Why then is it that we make conscious arithmetic errors( For example:
calculating 764*57656 mentally takes a lot of time and more often than not results in an error.)
even though an average person can say, judge distance and speed in reflex with a lot of precision?
 
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On what do you base your statement that the errors are "conscious"? Do you think people make such mistakes on exams on purpose?
 
  • #3
I wrote conscious; not on purpose. Maybe voluntary is the appropriate term here. What I mean to say here is why does our brain make arithmetic errors when it comes to making "conscious" or "voluntary" operations such as mentally adding two numbers. For example when someone asks us what 9*9 is, when know it is 81. This seems to suggest that our conscious self bases arithmetic calculations based on memory. However, next if asked what 109*9 is, we can logically link the operations 100*9 and 9*9 and then produce results results. But sometimes when the numbers are big, our brain fails us. I wonder why. It can be very precise in other involuntary operations such as releasing a certain specific quantity of a hormone, scheduling metabolic processes etc.
 
  • #4
Calculations are specific. The human brain is a powerful computer, but arithmetic is not one of its strengths.
 
  • #5
Because the human brain is not a computer, don't take analogies too seriously. The brain is capable of what evolutionary pressures (or lack thereof) have caused it to be capable of. At no point was unconscious mental arithmetic (I.e the ability to do sums as instinctively as balancing, visual recognition etc) positively selected for.
 
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I think it is because the brain needs a large amount of "temporary memory" to be able to solve large arithmetic problems, similarly to RAM on a computer. In the average brain, problems like these do not strike the consciousness as being essential for survival, so the brain doesn't try to waste an inordinate amount of energy. As far as being conscious about mistakes, I assume the OP means that we know that we made a mistake even though we might not have meant to do it or know exactly what the mistake is.
 
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  • #7
Thank you all. It is much clear now.
 
  • #8
People make mistakes because, among other things, they are tired, distracted, or they may not fully understand what they are trying to do. The 'brain as a computer' analogy is flawed in many different ways.
 

1. Why do we make arithmetic mistakes?

There are several reasons why humans make arithmetic mistakes. One reason is that our brains are wired to prioritize certain types of information over others, and arithmetic may not be a top priority. Additionally, our brains are not perfect and are susceptible to distractions and fatigue, leading to errors in calculations. Finally, our education and exposure to math may also play a role in our ability to perform accurate arithmetic.

2. Is it normal to make arithmetic mistakes?

Yes, it is completely normal to make arithmetic mistakes. Our brains are not built to be perfect calculators, and making mistakes is a natural part of the learning process. It is important to learn from these mistakes and use them as opportunities to improve our math skills.

3. Are there certain factors that increase the likelihood of making arithmetic mistakes?

Yes, there are several factors that can increase the likelihood of making arithmetic mistakes. These include distractions, fatigue, stress, lack of confidence in math skills, and difficulty understanding the concept being calculated. It is important to be aware of these factors and try to minimize their impact when performing arithmetic calculations.

4. Can practicing arithmetic help reduce the number of mistakes made?

Yes, practicing arithmetic can help reduce the number of mistakes made. The more we practice, the more familiar we become with the concepts and calculations involved, making it easier to perform accurately. Additionally, practicing can also help improve our overall math skills and reduce the likelihood of making errors.

5. Are there any strategies to avoid making arithmetic mistakes?

Yes, there are several strategies that can help reduce the number of arithmetic mistakes made. These include double-checking calculations, breaking down complex problems into smaller, more manageable steps, and using tools such as calculators or visual aids. It is also important to stay focused and avoid distractions while performing arithmetic calculations.

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