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On the other hand, the research focused a particular of understanding in math-
ematics is very many. For example, Bardu and Beal said that English Learners'
lower performance in math reflects the additional cognitive demands associated
with text comprehension (Barb and Beal 2010).
5.3 Circumstances of Learner
About inner circumstance of learner, Meece et al. said that “Students' performance
expectancies predicted subsequent math grades, whereas their value perceptions
predicted course enrollment intentions.” (Meese et al. 1990). This research con-
firms our research.
On the other hand, it is many researches with a central focus of Medical about
outer circumstance of learner,
6
Conclusions
In this research, we correct incorrect reason for researching elements of difficulty
level in Mathematics. We formulate 10 elements of difficulty level based on re-
searching incorrect reason.
For making a decision of difficulty level in mathematics, we were examined 3
types of method, “statistical approach”, “subjective method”, and “discovery of
the elements”.
We decide to use “discovery of the elements”. “statistical approach” need many
data of each question. So, it does not use for new question. “subjective method”
cannot show difficulty level strictly for decreasing resolution.
In this research, we find 4 types and 10 elements of difficulty level in mathe-
matics. It makes a platform of difficulty level in Mathematics. There are many
things about the research of each type or each element. It is necessary to refer to
the huge quantity of previous research in a broad range of areas.
About difficulty level, Chalmars advocates “The problem that can build by al-
gorism is easy” (Chalmars 1982), Searle advocates “there is no exist when algo-
rism is performed the operation” (Searle 1982), and Penrose advocates “essence of
consciousness has unreckonable process” (Penroose 1989). But Mogi advocates
“These 3 opinion do not come at essential problem of human's cognition” (Mogi
2006) and we agree with Mogi's opinion. We are calculating data of incorrect
reason, but simple and clear conclusions have not gotten yet. This theme is inti-
mately-connected to nature of humanity. So, we will not be able to resolve easily,
but we think that it is considered of value.
We forecast that conclusion will be using several methods like MKT, several
methods is including this research, basic theories for each element, high cost-
effectiveness collection methods of data, data analysis algorism, fuzzy system
after reduced noise.
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