A Study of the Curriculum Design for Integration of Middle School Mathematics and Computer Science

中学计算机科学和数学的整合是一个日益引起学生对计算机科学概念接触的兴趣领域。在考虑数字运算、解释和编写代数表达式等数学主题时，将两者结合起来是很自然的机会，这些都是后来数学的关键概念。该项目将选择研究表明对学生具有挑战性的数学主题，并开发位于现实世界背景下的计算机科学模块，以吸引学生并支持他们学习数学和计算机科学内容。该项目在计算机科学家、STEM教育教师和实习教师之间建立了一个合作，以便为中学开发这些学习模块。该项目将调查学校和教师需要什么才能成功地将计算机科学和数学结合起来。学习的证据将从学生小组工作和个人评估数据中收集。因此，这项研究将调查如何通过与数学的整合来扩大对计算机科学的参与。STEM+计算伙伴关系(STEM+C)计划旨在通过一个或多个领域的应用研究和开发，推动STEM教与学中计算的多学科整合。拟议的工作将审查中学普通数学课程(即，不仅仅是高级学生)计算机科学模块的实施情况。本研究采用基于设计的研究框架，对中学数学模块的创建及其实施进行了研究。该项目将聘请包括中学教师和大学教师在内的设计团队来开发模块。混合方法研究性设计被用来检验设计的过程(即设计原则)和学生在数学和计算机科学方面的学习结果。为了分析数据，该项目将利用一个“实践社区框架”来检查团队成员使用的设计过程，并将其与学生的学习结果联系起来。

The integration of computer science and mathematics for middle school is a growing area of interest for increasing students' access to computer science concepts. There are natural opportunities to merge the two when considering mathematics topics such as operations on numbers and interpreting and writing algebraic expressions, which are critical concepts for later mathematics. The project will select mathematics topics that research has shown to be challenging for students and develop computer science modules situated in real-world contexts to engage students' and support their learning of both the mathematics and computer science content. The project creates a collaboration between computer scientists, STEM education faculty, and practicing teachers in order to develop these learning modules for middle school. The project will investigate what is needed for schools and teachers to successfully integrate computer science and mathematics. Evidence of learning will be gathered from student work in small groups and individual assessment data. Thus, the study will investigate what it takes to broaden participation in computer science via integration with mathematics. The STEM+Computing Partnership (STEM+C) program seeks to advance multidisciplinary integration of computing in STEM teaching and learning through applied research and development across one or more domains. The proposed work will examine the implementation of computer science modules for middle-school general mathematics courses (i.e., not just for advanced students). The investigation uses a design-based research framework to study both the creation of modules and their implementation in middle school mathematics. The project will engage design teams, including middle school teachers and university faculty to develop the modules. The mixed methods research design is used to examine both the process of design (i.e., design principles) and the results for student learning in mathematics and computer science. To analyze the data, the project will draw on a "communities of practice framework" to examine the design process used by the team members and relate it to students' learning outcomes.