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1.1 Establishment and development of problem solving capacit for students
are important targets of mathematics
Problem solving has important meaning in teaching mathematics and has
been applied in curricula in many countries worldwide. Researching the
relationship between the contents of Mathematics at high schools in Vietnam and
common capacities which should be established and developed for students, Tran
Kiel determines that problem solving competence is one of six specific capacities
which should be established and developed for students through Mathematics.
Therefore, the improvement of problem solving competence has currently been one
of significant duties in teaching mathematics at high school in Vietnam.
1.2 Analytical content is potential to improve the problem sovling
competence
The analytical content contains may contexts which arise out problems and is
an aspect which could be exploited to improve the problem solving competence.
1.3 The tactics of cognitive activities plays the signigicant role against the
students regarding apprehension of mathematical knowledge as well as solution of
mathematical problems
Polya affirmed that teaching tactics (referred to as tactics of cognitive
activities) is to develop the problem solving competence for students. In practical
mathematics teaching, featured and skilful methods of surveying and changing
objects to find out reasonable and optimal measures shall help the students perceive
the beauty of mathematics, establish aesthetic feelong and inspire the passion for
and interest in mathematics. Such methods play the role as means or tools which
help the students occupy the whole knowlege of mathematics and solve
successfully mathematical problems. And such methods are considered as tactics of
cognitive activities.
Equipping with tactics of cognitive activities for the students in teaching
analytics is very necessary and considered as one of ways which contribute to
establish and develop the problem solving competence.
We have selected the research topic: “Teaching analytics at high schools in
the direction of improving problem solving competence through equipping with
some tactics of cognitive activities for students” therefrom.
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