Children's Construction of the Rational Numbers of Arithmetic

这项工作的目的是创造儿童的建设模型 有理数的算术是有用的科学和 教育的努力。 在与儿童合作方面， 微观世界在建构主义教学实验，心理 研究人员的目标是创建一个儿童模型： 构造生成有理数的运算 算术，沿着一种科学语言， 数学的儿童在这个内容域。 教育目标 是精心设计可能的学习环境的组件， 基于计算机微观世界的儿童，并包括（1）a 可能的学习周期的规范沿着目标， 这些时期内的意图，（2）数学概念和 参与学生在学习期间的操作， 施工路线，（3）问题的情况下，在服务 参与者建立和改进学习环境 学生在学习期间，（4）我们作出的关键决定， 向学生提出问题;（5）操作实例， 将他们带入新的更强大的概念。 为了促进该 工作，主要调查人员将建立一个工作组， 有理数的算术，并将进行科学和 教育车间。

The purpose of the work is to create models of children's construction of the rational numbers of arithmetic that are useful in scientific and educational endeavors. In the context of working with children in logo microworlds in a constructivist teaching experiment, the psychological goal of the investigators is to create a model of children: construction of the operations that generate the rational numbers of arithmetic, along with a scientific language that specifies the mathematics of children in this contentual domain. The educational goal is to elaborate components of possible learning environments for children based on computer microworlds and to include (1) a specification of possible learning periods along with the goals and intentions within these periods, (2) the mathematical concepts and operations of the involved students within the learning period and itineraries of construction, (3) problem situations that served in the establishment and modification of learning environments by the involved students within the learning periods, (4) critical decisions we made in posing the problems to the students, and (5) examples of operating that carried them to new and more powerful concepts. To facilitate this work, the principal investigators will establish a working group on the rational numbers of arithmetic and will conduct a scientific and an educational workshop.