韶关学院学报
韶關學院學報
소관학원학보
Journal of Shaoguan University(Social Science Edition)
2014年
6期
87~91
,共null页
高数教学 习题变式 解题方法 探索能力
高數教學 習題變式 解題方法 探索能力
고수교학 습제변식 해제방법 탐색능력
higher mathematics; variant teaching; problem-solving approach; exploring ability
课本习题的改造是“数学探究”的重要渠道.高等数学课堂教学的核心任务主要是培养学生的思维探索能力,数学思维探索能力的提高在于选题、变式、解题质量的提高,而非选题、变式、解题的数量的增多.选题要把握“三原则”、变式要多角度.这样,不但可起到沟通各知识的纵横联系,而且能促进解题策略的逐步优化,培养学生的思维能力、分析问题和解决问题的能力.
課本習題的改造是“數學探究”的重要渠道.高等數學課堂教學的覈心任務主要是培養學生的思維探索能力,數學思維探索能力的提高在于選題、變式、解題質量的提高,而非選題、變式、解題的數量的增多.選題要把握“三原則”、變式要多角度.這樣,不但可起到溝通各知識的縱橫聯繫,而且能促進解題策略的逐步優化,培養學生的思維能力、分析問題和解決問題的能力.
과본습제적개조시“수학탐구”적중요거도.고등수학과당교학적핵심임무주요시배양학생적사유탐색능력,수학사유탐색능력적제고재우선제、변식、해제질량적제고,이비선제、변식、해제적수량적증다.선제요파악“삼원칙”、변식요다각도.저양,불단가기도구통각지식적종횡련계,이차능촉진해제책략적축보우화,배양학생적사유능력、분석문제화해결문제적능력.
Higher mathematics classroom teaching core mission is to develop students" thinking ability to explore the subject which lies in the improvement of mathematical thinking ability to explore the topic, variant, and improving the quality of problem-solving, rather than the increasing of topics, variant and solving. Problem-solving should be in line with three principles and diversified, which better connects the horizontal and vertical knowledge to optimize the solving strategies, which foster the thinking, analyzing and solving abilities of the students.