数学是一门学科，通过它我们可以了解周围世界中的顺序，模式和定量情况。该学科的基本技能是：制定，关注和解决问题，表达，检验和证明猜想，传达有关数量及其之间关系的推理能力以及查看不同数学思想与实数之间的联系的能力。世界语境在社会上受到高度重视，是任何受过教育的人的特征。数学不仅是知识的主体，而且是分析，推理，比较，演绎，概括和解决问题的过程。数学教育者在很大程度上依赖于自己对数学的理解，以便确定和阐明他们想让学生学习的数学观念，评估他们的学生已经理解的哪些观念可以作为学习的基础，并开展有助于学生发展的活动丰富
Mathematics is the discipline through which we make sense of the order, patterns, and quantitative situations we perceive in the world around us. The foundational skills of this disciplinethe abilities to formulate, focus, and solve problems, to articulate, test, and justify conjectures, to communicate one's reasoning about quantities and the relationships between them, and to see connections between different mathematical ideas and real-world contextsare highly valued in society and are characteristics of any educated person. Mathematics is not only a body of knowledge but also a process of analysis, reasoning, comparison, deduction, generalization, and problem solving.<br><br>Mathematics educators depend heavily upon their own understanding of mathematics in order to identify and articulate the mathematical ideas they want students to learn, to assess which concepts their students already understand that might serve as a foundation for learning, and to develop activities that help students develop rich understandings. They also use their understanding of the nature of the discipline to structure a culture of inquiry, reasoning, and problem solving in their classrooms.