A model for mathematics instructional improvement at scale

Alison Castro Superfine, B. Superfine
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Abstract

In this poster, we propose a model for school math instructional improvement that is adaptable to local settings and the organizations and practitioners in them. Different school districts have different problems of practice, and thus adaptive integration of interventions is important as they go to scale— as Penuel et al. (2011) find, successful “scaling up” depends on local actors who make continual, coherent adjustments to interventions as they make their way through various levels of an organization. Indeed, schooland district-level infrastructures that are not optimally designed to support instructional improvement can constrain professional development (PD) efforts to improve the effectiveness of the existing teaching force (Spillane & Hopkins, 2013). Similarly, school districts have been shown to influence the ways in which schools and school leaders implement a wide range of improvement efforts at the school level, thus helping or hindering such implementation (Honig & Rainey, 2014). The model we propose is particularly designed to improve teachers’, teacher leaders’, and administrators’ understanding of effective math teaching and learning, and to enhance the organizational capacities of schools and districts to support such improvements in math. The model is grounded in a Design-Based Implementation Research process involving collaboration between researchers, and district and school personnel to co-develop math PD from district through teacher levels. The components are: (1) gathering information about problems of practice collaboratively identified by districts, schools, and the research team, and developing related goals; (2) designing and implementing coherent PD that is aligned with identified problems of practice; and (3) engaging in iterative cycles of development, implementation, and revision to productively adapt the model to changing conditions. The iterative redesign process enhances the productive adaptation of the model, allowing it to be effective at scale. In this poster, we will present our preliminary findings from the first cycle of iterative co-design of the model with stakeholders in four different school districts, including design considerations and challenges that emerged from the co-design process. In doing so, our aim is to make a significant contribution to the knowledge base regarding the process of organizational change in educational settings, effective teacher and administrator PD in math, and researcher-local stakeholder collaboration.
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大规模数学教学改进的模型
在这张海报中,我们提出了一个适合当地环境以及其中的组织和实践者的学校数学教学改进模型。不同的学区在实践中有不同的问题,因此干预措施的适应性整合在扩大规模时很重要——正如Penuel等人(2011)发现的那样,成功的“扩大规模”取决于当地行为者,他们在组织的各个层面对干预措施进行持续、连贯的调整。事实上,学校和学区层面的基础设施没有优化设计来支持教学改进,这可能会限制专业发展(PD)努力提高现有教师队伍的有效性(Spillane & Hopkins, 2013)。同样,学区已被证明会影响学校和学校领导在学校层面实施广泛改进工作的方式,从而帮助或阻碍这种实施(Honig & Rainey, 2014)。我们提出的模型是专门为提高教师、教师领导和管理者对有效数学教与学的理解而设计的,并提高学校和地区的组织能力,以支持数学方面的这种改进。该模型以基于设计的实施研究过程为基础,涉及研究人员、地区和学校人员之间的合作,共同开发从地区到教师水平的数学PD。这些组成部分包括:(1)收集由地区、学校和研究团队共同确定的实践问题的信息,并制定相关目标;(2)设计和实施与实践中发现的问题相一致的连贯的PD;(3)参与开发、实现和修订的迭代周期,以有效地使模型适应不断变化的条件。迭代的重新设计过程增强了模型的生产性适应性,使其在规模上有效。在这张海报中,我们将展示我们与四个不同学区的利益相关者进行模型迭代共同设计的第一个周期的初步发现,包括共同设计过程中出现的设计考虑和挑战。在这样做的过程中,我们的目标是对教育环境中的组织变革过程、数学中有效的教师和管理员PD以及研究人员与当地利益相关者合作的知识库做出重大贡献。
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