In this paper, we investigate how a research mathematician conjectures and proves when conducting her research. To be precise, the aim of this study is to achieve a comprehensive understanding of the way this research mathematician develops these mathematical practices and thus gain insight to improve the teaching and learning of these two…

This article examines the professional knowledge required for mathematics teachers to effectively use generative artificial intelligence (GenAI) in planning high-quality, ambitious mathematics lessons. While GenAI tools like ChatGPT offer promise for automating parts of lesson planning, their utility in supporting ambitious instruction is limited…

This article presents a case study in which researcher-practitioner collaboration took place to promote effective use of technology in an urban elementary school mathematics classroom. Data were primarily gathered through classroom observations and interviews. The aim of this study was twofold. First, to increase our understanding of the effects…