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能力的培养是新教育理念的核心,是新时期教育的最终目标。在以往的教学中,很多人认为数学教学就是数学理论知识的教学。在这种思想的支配下,数学教学形成了单一的传授知识教学,形成了单纯的数学知识注入式教学,学生仅通过机械的重复和训练去识记和再现老师提供的数学结论。这样的教学不能促进学生能力的获得,也不能促进学生创造力的形成和学生数学素质的提高。数学教学是数学活动的教学,旨在促使学生通过数学活动发现问题、分析问题、解决问题,从而培养学生数学方面的各种能力。数学能力是由运算能力、空间想象能力、逻辑思维能力与思维的深刻性、灵活性、创造性、分析性、敏捷性等组成的开放性动态系统结构。能力的核心是数学思维,数学思维的核心是数学品质。中学数学教学要在抓好基础知识、基本技能的基础上培养学生的各种数学能力,特别
The cultivation of abilities is the core of the new education concept and the ultimate goal of education in the new era. In the past teaching, many people think that mathematics teaching is the teaching of mathematical theory knowledge. Under the control of this kind of thinking, mathematics teaching formed a single teaching of imparting knowledge and formed a simple teaching of mathematics knowledge injection. Students only recognized and reproduced the mathematical conclusions provided by the teachers through mechanical repetition and training. Such teaching can not promote the acquisition of students’ ability, nor can it promote the formation of students’ creativity and the improvement of students’ mathematical quality. Mathematics teaching is the teaching of mathematics activities, which aims to encourage students to discover problems through mathematical activities, analyze problems and solve problems so as to develop various abilities of students in mathematics. Mathematical competence is an open and dynamic system structure composed of computing ability, spatial imagination ability, logical thinking ability and profound, flexible, creative, analytical and agile thinking. The core of competence is mathematical thinking, and the core of mathematical thinking is mathematical quality. Middle school mathematics teaching should do a good job in basic knowledge, basic skills to develop a variety of mathematical ability of students, especially