Implementing innovations in mathematics education relies on scaling up professional development (PD) for mathematics teachers. Within the German Center of Mathematics Teacher Education (DZLM), the complexities involved in scaling-up processes are addressed with three implementation strategies: a material, a personnel, and a systemic strategy. For each of them, the research base is empirically established by design research and intervention studies. The personnel strategy focuses on preparing teachers for innovative teaching approaches and on preparing PD facilitators for conducting PDs on the content involved. The empirical research required for creating a research base for the personnel strategy investigates what teachers and facilitators need to know about their learners (students on the classroom level, teachers on the PD level) with regard to a specific (PD) content. The main focus of the material strategy is to provide support for teachers and facilitators by adaptable curriculum materials for classrooms and PD sessions. The empirical research on the material strategies focuses on how such material needs to be constructed to ensure both flexibility and fidelity for impactful quality implementation. The systemic strategy involves considering the systemic contexts on each level and cooperating with the respective stakeholders (e.g., school principals or regional PD authorities). The corresponding empirical research focuses on the interplay of processes and systemic conditions. In this paper, we present the implementation strategies on different levels, and typical research approaches and results for strengthening their empirical and theoretical bases.

在数学教育中实施创新依赖于扩大数学教师的专业发展水平。在德国数学教师教育中心（DZLM）内，通过三种实施策略来解决扩展流程所涉及的复杂性：材料，人员和系统策略。对于每个人，都通过设计研究和干预研究以经验方式建立研究基础。在人才战略着重于为教师提供创新教学方法的准备，并着重准备PD促进者以针对所涉及的内容进行PD。建立人事策略研究基础所需的实证研究调查了教师和促进者需要了解的有关特定（PD）内容的学习者（课堂级别的学生，PD级别的老师）的知识。物质策略的主要重点是通过适用于教室和PD会议的课程材料为教师和促进者提供支持。对材料策略的实证研究集中在如何构造这种材料上，以确保具有灵活性和保真度的有效实施质量。该系统战略涉及考虑每个级别的系统环境，并与各自的利益相关者（例如，学校校长或地区PD主管部门）合作。相应的实证研究集中在过程和系统条件之间的相互作用上。在本文中，我们提出了不同层次的实施策略，以及加强其经验和理论基础的典型研究方法和结果。