The authentic assessment is a form of assessment researched and applied by several countries into the education reality of primary schools. However, this assessment form has not been really paid much attention to and applied into teaching subjects in primary schools in general and into teaching mathematics in particular. This article presents the researching findings of awareness reality of teachers on authentic assessment’s tasks; one of factors creates the specific characteristics of authentic assessment in several primary schools in Binh Duong. Through analyzing the results of questionnaires and interviews of several primary teachers in Binh Duong Province of Vietnam, we can see that most teachers have not really understood about authentic assessment’s tasks and have not designed the authentic assessment’s tasks. This is one of foundations to propose several methods for applying the authentic assessment into teaching Maths in the direction of competence development for primary school students.
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