Abstract The ability to generalize and represent generalizations exhibited by eight fourth-grade students was analysed in this descriptive study, designed around a semi-structured interview involving a task based on the linear functional relationship y = x + 2. The relation of the interviewer’s mediation on students’ representations of generalizations was determined on the grounds of students’ interactions with her. Four forms to represent the generalization of a functional relationship were defined. The findings confirm the importance of mediation in helping students strengthen their ability to recognize, represent and generalize functional relationships.

中文翻译：

---

功能关系的一般化及其与面试官的调解的关系的表示法/功能关系的一般化及其与面试官调解的关系的表示法

摘要在这项描述性研究中，分析了八名四年级学生表现出的概括能力和表现概括的能力，该研究围绕半结构化面试进行，涉及基于线性函数关系y = x + 2的任务。面试官的中介关系关于学生的概括性陈述是根据学生与她的互动来确定的。定义了四种表示功能关系泛化的形式。研究结果证实了调解在帮助学生增强识别，代表和概括功能性关系的能力方面的重要性。