The mathematics curricula of countries such as the United States, Singapore, Australia and New Zealand have started to incorporate the teaching of algebra in early childhood education. From this perspective, our study has two objectives: (a) to design a learning trajectory and teaching itinerary introducing patterns for children between the ages of three and four years old; and (b) to apply the previously validated learning trajectory and teaching itinerary to a group of 24 children between three and four years old from Spain. The results obtained through a design-based research methodology indicate that children recognize and represent seriations that follow a simple pattern in different teaching contexts. It is concluded that the trajectory and itinerary empower a specialized educational intervention to promote the initiation of algebraic thinking in early childhood education.

中文翻译：

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三岁时的学习模式：学习轨迹和教学计划的贡献

美国，新加坡，澳大利亚和新西兰等国家的数学课程已开始将代数教学纳入幼儿教育。从这个角度来看，我们的研究有两个目标：（a）为三至四岁的儿童设计学习轨迹和教学行程介绍模式；（b）将先前验证过的学习轨迹和教学路线应用于来自西班牙的24名年龄在3至4岁之间的儿童。通过基于设计的研究方法获得的结果表明，儿童认识并代表在不同的教学环境中遵循简单模式的锯齿。