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If the physical situation is not normal or spiritual leader or learner, impos-
sible to make accurate data is expected. In that case, to temporarily stop
the data collection at the discretion of the leader. Once with fever, I
paused once data collection in the deterioration of mental status in the col-
lection of this data
4
Classification of Incorrect Reason
We have analyzed the papers and interviews with learners. We list quantity in
Table 1.
Table 1 Analysis of questionnaires and interview
Student
Person
Incorrect reasons
Elementary school
4
342
Junior-high school
5
451
High school
6
432
College
5
442
University
15
368
4.1 Lack of Understanding
Yoshizawa says that misstep about Mathematics has 16 types (Yoshizawa 2006).
Special treatment on 0 and 1
The misunderstanding about the meaning of the symbols
The realization that the shape of the representation may be different if it is
the same as the mathematical
How to use “and”, “or” and “so”
How to use “all” and “some”
Negative X negative=positive
A rough idea in the calculation
Understanding of the meaning of the problem statement and description
The order of action and movement
Reverse of action and movement
Abstraction to learn while lack of awareness of specific
Examination of the validity of the expression deformation and application
of official
Error in the object to be compared with respect to the ratio
Gap in understanding surface caused by the change of the unit and expan-
sion of the subject to be handled
Lack of graphical feeling
Learning content needed Intuitive explanation
 
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