Continuity of a function at one point and existence of directional derivatives at that point are important parts in multivariate differential calculus.In the mathematical analysis exercise class,students are guided to explore the relationship between these two notions,and through continuous attempts,reverse thinking and seeking counter-examples,they can eventu-ally find that each one cannot be implied by the other.Inquiry-based teaching can strengthen students'ability of divergent thinking,mobilize students'initiative to explore and study,cultivate students'quality of perseverance and not fearing set-backs,and let them establish a rigorous thinking habit and a scientific attitude of seeking truth from facts.
关键词
探究式教学/多元函数连续性/方向导数/锥面
Key words
inquiry teaching/continuity of multivariate function/directional derivative/conical surface
维普
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