Question

英语好的朋友帮我翻译一下吧，用翻译软件翻译的就算了喔。。。

建构主义作为认知学习理论的新发展，是目前西方流行的学习理论。建构主义教学模式都将学生学习知识的过程看成是学生认识事物的过程，通过学生亲历知识的产生和发展过程，主动建构知识，这正好与目前倡导的过程启发式教学不谋而合。《新课程标准》对于数学教学的定义，有着浓厚的建构主义背景，体现了建构主义思想。因而建构主义对数学教育，尤其是数学过程启发式教学有着重要的启示作用。本文在了解了建构主义与建构主义教学观、建构主义的教学模式与过程启发式教学以及数学新课程标准的基础上，分析了建构主义数学观与数学教学观以及基于新课标下的数学教学观，探讨了建构主义教学理论对数学过程启发式教学的指导与启示，并进行了教学案例分析。

Answer 1

建构主义作为认知学习理论的新发展，是目前西方流行的学习理论。建构主义教学模式都将学生学习知识的过程看成是学生认识事物的过程，通过学生亲历知识的产生和发展过程，主动建构知识，这正好与目前倡导的过程启发式教学不谋而合。《新课程标准》对于数学教学的定义，有着浓厚的建构主义背景，体现了建构主义思想。因而建构主义对数学教育，尤其是数学过程启发式教学有着重要的启示作用。本文在了解了建构主义与建构主义教学观、建构主义的教学模式与过程启发式教学以及数学新课程标准的基础上，分析了建构主义数学观与数学教学观以及基于新课标下的数学教学观，探讨了建构主义教学理论对数学过程启发式教学的指导与启示，并进行了教学案例分析。

Answer 2

Cognitive learning theory of Constructivism as a new development, is currently
popular theory in the West. Constructivism teaching mode of learning knowledge
of their students as a student knowing process, through the students to
experience the process of knowledge generation and development, construction of
knowledge, that exactly coincides with current process advocated by the
heuristic method of teaching. Definition of the teaching of the new curriculum
standards for math, has a strong background of constructivism, embodies the
ideas of Constructivism. Thus the constructivism to mathematics education,
particularly the heuristic method of teaching the course of mathematics has
important implications. Understanding of this article, constructivism and
constructivist teaching concept of Constructivism teaching pattern and process
of heuristic method of teaching, as well as on the basis of the new mathematics
course standard, analysis of the constructivist philosophy of mathematics and
mathematics teaching and mathematics teaching under the new course standard
based, study on constructivism teaching theory on process guidance and
enlightenment of heuristic method of teaching in mathematics, and a teaching
case analysis