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1核心概念的背景阐述在《义务教育数学课程标准(2011年版)》(以下简称“课标”)中提到数感、符号意识、空间观念、几何直观、运算能力、推理能力等10个核心概念。这些核心概念是学生通过数学课程在各个方面需要达到的能力要求,在本质上体现了数学的基本思想和义务教育阶段数学知识中蕴涵的数学素养。它们蕴涵于具体的课程内容之中,或者与课程内容紧密结合,可谓是源于课程又高于课程。这10个核心概念的提出,有利于我们把握课程内容的线索和层次,抓住教学中的关键,并在教学中有机地发展学生的数学素养。因此,把握好这些核心概念对于教师的教学和学生的学习都是极为重要的。
1 core concept of the background described in the “Compulsory Education Curriculum Standards (2011 Edition)” (hereinafter referred to as “class standard”) mentioned number sense, symbolic awareness, spatial concepts, geometric intuition, computing power, reasoning ability 10 A core concept. These core concepts are the competencies that students need to meet in all aspects through mathematics curriculum, which essentially embody the basic ideas of mathematics and the mathematical literacy in the mathematical knowledge of compulsory education. They are embodied in the specific content of the curriculum, or closely integrated with the content of the course, can be described as derived from the curriculum but also higher than the curriculum. These 10 core concepts are put forward to help us grasp the clues and levels of the course content, grasp the key to teaching, and organically develop students’ mathematical literacy in teaching. Therefore, a good grasp of these core concepts for the teaching of teachers and students are extremely important.