A large number of learners do not wish to study mathematics and have negative attitudes towards mathematics, including students in mathematics departments. In your opinion, what are the reasons?
You ask the following: "What are the reasons why a large number of learners do not want to study mathematics?"
I think that there are a myriad of factors to this to be the case.
1. There is a widespread idea that mathematics is a difficult issue only at to reach of very clever students. This is obviously an injustified prejudice.
2. The way teachers teach mathematics to their students. Not only some teachers do convey the idea to their students that maths is a difficult issue, but also they teach it as if it were an abstract subject matter that has no application to, say, the real world, which is false.
These are, to my undersatanding, the two main reasons why a large number of learners do not want to study mathematics.
1. In mathematics we abstract from details that are irrelevant. We learn to be flexible with this skill. The aversion to mathematics may be an emotional one.
The reader finds it difficult to abstract away some aspects of what is considered, because basically it is a partial dissociation. This may feel to many as an uncontrollable loss of grip concerning the situation that is observed.
2. Mathematical definitions are stable conceptual notions. But at first they do not 'come to life'. One needs to translate these notions to 'mental objects' to which one has a 'personal binding'. For example a _prime_ (number) p is one such that
p>1 and the only divisors of p are 1 and and p itself.
This is a bit long and if one hasn't seen the definition, then one forgets it fast.
So it is important to give examples of primes (2, 3, 5, 7, 11, ...) and non-examples (4, 6, 8, 9, 10, 12, 14, 15, ...). Then hopefully the reader/thinker gets curious how primes are distributed among all natural numbers. Will there be always bigger primes? What is the ratio of primes among all numbers (up to a certain bound)?
You ask the following: "What are the reasons why a large number of learners do not want to study mathematics?"
I think that there are a myriad of factors to this to be the case.
1. There is a widespread idea that mathematics is a difficult issue only at to reach of very clever students. This is obviously an injustified prejudice.
2. The way teachers teach mathematics to their students. Not only some teachers do convey the idea to their students that maths is a difficult issue, but also they teach it as if it were an abstract subject matter that has no application to, say, the real world, which is false.
These are, to my undersatanding, the two main reasons why a large number of learners do not want to study mathematics.
If they stop studying it then due to its seeming abstractness in relation to the real world and difficulty to relate it to the real world. Its abstract in many ways when studied but can be applied and failure to apply it leads to lesser willingness to study it. Even when looking how much mathematics has been proposed to solve real problems, we can see no real solutions or at end that problems still exist and persist. Many turn to other fields of study in order to balance needs other than mathematics in solving problems that persist. However, we can never generalise.
Mathematics must be taught in a way that learners don't find it intimidating or boring, but intereseting and story like. Moreover finding innovative ways to make learning the math possible.
I would like to add something to my previous answers regarding the reasons why a large number of learners do not want to study mathematics.
It is likely that this is the case because students are a bit perplexed about the very nature of mathematics. In fact,
1) According to some authors, mathematics is the queen of sciences because of its rigor.
2) Acoording to other authors, mathematics is a human convention and it is no science in the end,
3) According to Einstein, "as far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."
Because of these assumptions, it is likely that many students do not want to study mathematics. Even if, students may ask, experts are not sure about the very nature of mathematics, why do we, students, have to learn it?