Mathematical Themes

教育发展中心正在开发“数学主题”，这是一个四年制的高中数学课程，沿着更传统的代数I、几何、代数II和微积分预科。 概率和统计将被纳入这些课程。 主要目标是培养学生的强大的数学能力，定义在“加起来。“数学能力由以下特征定义：* 概念理解：理解数学概念，运算和关系。程序流畅性：灵活、准确、有效和适当地执行程序的技能。战略能力：制定，代表和解决数学问题的能力。适应性推理：逻辑思维、反思、解释和辩护的能力。生产倾向：这些教材在学生的常识和传统之间取得平衡，即学生需要一次专注于一项数学知识，以及他们所学到的关于看到数学主题之间的联系以及数学之外的领域的附加价值。 这项工作建立在并利用了以前NSF支持开发的材料，即：“连接几何”和“数学方法”。"

The Education Development Center is developing "Mathematical Themes," a four-year high school mathematics curriculum organized along the more traditional lines of Algebra I, Geometry, Algebra II and Pre-calculus. Probability and statistics will be integrated into these courses. The primary goal is to develop in students a robust mathematical proficiency as defined in "Adding It Up." Mathematical proficiency is defined by the following characteristics:* Conceptual understanding: comprehension of mathematical concepts, operations and relations.* Procedural fluency: skill in carrying out procedures flexibly, accurately, efficiently and appropriately.* Strategic competence: ability to formulate, represent and solve mathematical problems.* Adaptive reasoning: capacity for logical thought, reflection, explanation and justification.* Productive disposition: habitual inclination to see mathematics as sensible, useful and worthwhile, coupled with a belief in diligence and one's own efficacy.The materials strike a balance between the common wisdom and tradition that students need to focus on one piece of mathematics at a time and what has been learned about the added value of seeing connections among mathematical topics and to fields outside mathematics. The work builds on and makes use of materials developed with previous NSF support, namely: "Connected Geometry" and "Mathematical Methods."