Abstract
In this paper, we showed clearly how the teachers of elementary schools understood
structural relations between the learning elements of a teaching unit in arithmetic. We made 95
teachers draw concept maps of unit "Ratio" of arithmetic grade 5 and unit "Multiplication and
Division of Fraction" of arithmetic grade 6 in six elementary schools and analyzed the concept maps
with a transfer coefficient. As a result, the following matters became clear.
(1) For the analysis of recognition of the teaching materials structure, a method with a transfer
coefficient by using concept map is effective, and the value of transfer coefficient may be effective
to explain a style of the recognition structure.
(2) The recognition of the understanding teaching materials structure of teachers is very low because
96% of teachers seldom understand the structural relations of the teaching contents.
(3) Even if the teaching profession years of experience of teachers increase, the understanding of
structural relations is same and the recognition of teaching materials structure of teachers is not
improved.
(4) The recognition of teaching materials structure of teachers tends to become weak as a time
progresses.
