函数的概念是初中和高中函数重要教学内容之一,它具有一定的延续性和阶段性,学业质量评价注重中小学教学内容衔接上的整体把握,而传统的概念告知型教学模式无法满足学生对概念的理解,学生不了解概念的来龙去脉就很难掌握概念的内涵本质,最终会影响学习效果以及学科核心素养的落实。该篇章从学科核心素养培育的角度出发,分析初高中函数概念衔接教学的现状、问题的成因并给出优化策略:1) 把握阶段目标,建立可发展的概念内涵;2) 找到前后内容衔接点,注重函数发展过程,促进知识的迁移与同化;3) 实施多样教学模式,构建核心素养。最后,结合提出的策略对高中函数的概念进行教学设计。The concept of functions is one of the important teaching contents of middle and high school functions, which has a certain continuity and periodicity. Academic quality evaluation focuses on the overall grasp of the connection between primary and secondary school teaching content. However, the traditional concept informing teaching model cannot meet the understanding of concepts by students. If students do not understand the background of concepts, it is difficult to grasp the essence of their connotations, which will ultimately affect learning effectiveness and the implementation of core subject literacy. This chapter starts from the perspective of cultivating core competencies in the discipline, analyzes the current situation and causes of problems in the teaching of functional concepts in middle and high schools, and provides optimization strategies: 1) Grasp stage goals and establish developable conceptual connotations;2) Find the connection points between the content before and after, pay attention to the process of function development, and promote the transfer and assimilation of knowledge;3) Implement diverse teaching modes and build core competencies;finally, design teaching for the concept of high school functions based on the pro
章起始课作为单元内容的开始,对整个单元的学习有着统领和导向作用,有利于学生全局观的形成和完整知识体系的建构。本文以“勾股定理”章起始课为例,从单元整体视角出发探究如何开展章起始课的教学,并提出结论:注重整体设计,厘清课堂主线;巧用情境引领,突出学生地位,以为初中数学章起始课教学提供一定参考。The initial lesson of a chapter serves as the beginning of the unit’s content, playing a leading and guiding role in the entire unit’s learning process. It is beneficial for students to form a global perspective and construct a complete knowledge system. This paper takes the initial lesson of the “Pythagorean Theorem” chapter as an example, exploring from a holistic unit perspective how to conduct the teaching of the initial lesson of a chapter, and proposes the conclusion: focus on overall design, clarify the main thread of the class;skillfully use context to lead, highlight the student’s position, to provide certain references for the teaching of the initial lessons of junior high school mathematics chapters.
1背景多年来,美国学生的数学素养处在低于经济合作发展组织国家平均水平的困境。2009年6月1日,由全美州长协会(National Govemors Association)与全美州首席教育官员理事会(Council of Chief State School Officers)发起倡议,联合美国51个州和特区,一起参与制订美国的《州共同核心数学课程标准》(Common Core State Standards for Mathematies,以下简称CCSSM)[1]。2010年6月,美国第一部全国统一的《州共同核心课程标准》颁布,这里包括《州共同核心数学课程标准》,现已有44个州采纳[2]。2 CCSSM框架与内容CCSSM[3]由导言。
