Why do we make arithmetic mistakes?

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Discussion Overview

The discussion explores the reasons behind human arithmetic errors, questioning why individuals make mistakes in conscious calculations despite the brain's capabilities in other areas. It examines the nature of these errors, the brain's functioning, and the implications of comparing the brain to a computer.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants suggest that arithmetic errors may stem from the brain's reliance on memory for calculations, particularly in conscious or voluntary operations.
  • Others question the characterization of these errors as "conscious," arguing that mistakes are not made intentionally.
  • One viewpoint posits that the brain's design does not prioritize unconscious mental arithmetic, as it was not evolutionarily selected for.
  • Another participant proposes that solving large arithmetic problems requires significant temporary memory, akin to a computer's RAM, which the brain may not allocate for non-essential tasks.
  • Distractions, fatigue, and a lack of understanding are also cited as factors contributing to arithmetic mistakes.

Areas of Agreement / Disagreement

Participants express differing views on the nature of arithmetic errors, the appropriateness of the brain-computer analogy, and the factors influencing these mistakes. No consensus is reached regarding the underlying causes of arithmetic errors.

Contextual Notes

Some assumptions about the brain's capabilities and the evolutionary context of arithmetic skills remain unresolved. The discussion does not clarify the extent to which these factors influence arithmetic performance.

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?
 
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.
 
Calculations are specific. The human brain is a powerful computer, but arithmetic is not one of its strengths.
 
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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Thank you all. It is much clear now.
 
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.
 

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