Documents specifying a national mathematics curriculum for grades K-12 have recently been written in Israel. We focus on the calculus component for the highest of three matriculation bound levels, and specifically on the influence of research on this component. In addition to issues of content, we identify three principles that have led the writing team, namely, the manner in which sample tasks in the curriculum document incorporate fundamental mathematical ideas and mathematical Reasoning, the Impact expected from connecting mathematics to its role in everyday life and science, and the Cultivation of fertile intellectual ground from which new concepts may emerge naturally. We demonstrate how these principles are implemented in the unit on integration. We show that mathematics education research, though not mentioned explicitly, has had a profound and pervasive influence on the content and principles of the curriculum document, from the design of entire units down to the formulation of sample tasks.

最近在以色列编写了指定 K-12 年级国家数学课程的文件。我们专注于三个预科限制水平中最高的微积分部分，特别是研究对该部分的影响。除了内容问题，我们确定了指导写作团队的三个原则，即课程文件中的示例任务结合基本数学思想和数学推理的方式，将数学与其在日常生活中的作用联系起来的预期影响和科学，以及培育可以自然产生新概念的肥沃知识土壤。我们将演示如何在集成单元中实施这些原则。我们展示了数学教育研究，虽然没有明确提及，