弗赖登塔尔

弗赖登塔尔认为数学教学方法的核心是学生的再创造，理论基础是数学现实理论。

Hans Freudenthal thinks students ' recreation is the core of maths teaching method . The basis of theory is " maths reality " { theory . }

数学现实原则、数学化原则和再创造原则是弗赖登塔尔数学教学原则的核心。

The ideas of Virtual life of Math , Mathematization , and Recreation , are the core principals of the Math teaching and learning theory of Freudenthal .

第3章为数学化的途径。在弗赖登塔尔分类的基础上提出了一种新的分类方法，将数学化分为了经验材料的抽象和数学知识的组织两大类。

This thesis proposed a new classification method , which divided mathematization into two arrangements & abstraction of experience material and organization of mathematical knowledge .

为此本文以情境&问题教学试验为载体，对弗赖登塔尔数学教育思想应用于实际教学展开研究。

For this , this thesis takes Situations-Problems Teaching experiment as its carrier , and depends on this to launch a research on the application that Hans · Freudenthal 's Mathematical Education Thought used in the actual teaching .

数学活动教学是在充分吸收了建构主义、杜威从做中学、弗赖登塔尔再创造教学思想的基础上形成和发展起来的一种数学教学的基本形式。

The mathematics activity teaching , whose formation and development is based on the absorption of teaching thoughts from the constructivism , John Dewey 's Learning by doing and Freudenthal 's Recreation , is a basic form of mathematics teaching .

在论文中，首先，对弗赖登塔尔的数学现实、数学化、再创造、反思等数学教育思想和情境&问题教学进行综述。

In the thesis , first , it made a summary of " Realistic mathematics " " Mathematization " " Reinvention " " Reflective thinking " thoughts which are belong to Hans · Freudenthal and give a overview of the Situations-Problems Teaching .

然而对诸多文献的学习和对实践的观察与思考却让我们发现：弗赖登塔尔的数学教育思想在理论层面上具有较强的生命力，但在实际应用中却困难重重。

However , the studies of many document and the observations and thinking of the practice let us discovered : Hans · Freudenthal 's Mathematical Education Thought have the stronger vitality on the theoretical level , but there are many difficulties in actual practice .

理论基础等方面笔者主要从义务教育数学新课程标准、人本主义学习理论、建构主义理论、弗赖登塔尔数学教育思想等角度阐述对数学实验教学的启示及指导意义。

As to theoretical basis , the author mainly makes a discussion about the inspiration and meanings to mathematics experimental teaching from the perspective of New Mathematics Curriculum Standard of Compulsory Education , humanism learning theory , constructivism and the mathematics teaching ideas of H. Freudenthal .

弗赖登塔尔认为：对人类思维训练有重要影响的是数学思想方法而非具体的数学知识。这句话说明数学思想方法在数学研究和教育方面的作用至关重要。

H.Freudenthal considered : " To have an important effect on the human mind training of mathematical way of thinking is rather than specific knowledge of mathematics . " These words showed the mathematical way of thinking in mathematics education aspects of the research and have an important role .