一次横跨高等数学多个领域的探究性学习之旅

A Journey of Inquiry Learning Across Multiple Areas of Advanced Mathematics

在师范院校的数学课堂上恰当地实施探究性学习,对学生将来可能从事的数学教学工作有表率和榜样的作用.而数学探究性学习的开展需要合适的"触发点",选择高等数学中的这两个代数式之间的大小关系作为"触发点",从高等数学的多个领域、多角度地展开探究性学习,使学生对这两个代数式之间的大小关系有了全方位、深层次的认识,数学思维能力得到了充分的发展,有力地彰显了数学课堂的生命活力.

Proper inquiry learning in mathematics classrooms of normal colleges and universities plays an exemplaryrole in mathematical teaching that students may engage in. The development of mathematical inquiry learning requires a suitable “trigger point”. The relationship between two algebraic formulas in advanced mathematics is selected as the “ trigger point”. In many fields of advanced mathematics,inquiry learning is carried out, so thatstudents has allround and deep understanding of the relationship between two algebras. And mathematical thinkinghas been fully developed, effectively highlighting the vitality of mathematics classroom.