The focus of this newly established working group is on the complexities of designing tasks for engaging children in algebraic thinking. The working group aims to engage PME participants in interrogating the multiple ways in which robust task design supports teachers in facilitating children’s learning, within the topic of early algebra. The facilitators of the working group will present relevant theory from the distinct research fields of task design and early algebra, and participants will be invited to explore how insights from task design may be made manifest to address the specific needs of children engaging with algebraic thinking in elementary school.