数学意识指学生在面对问题时,依据条件和问题选择合适的解题策略,寻找解决问题的突破口的能力。强化数学意识可以使学生从被动接受到主动探索,从被动积累到主动感悟,把解决问题当作一个开启心智的过程,使解题有的放矢,如行云流水一般自然流畅,体现了思维体操的韵律美,最终成为减负增效的有效途径。一、预见意识对教师来讲,预见需要综合各方面的因素,预见可能出现的情况,及时调整方向,把握探究的节 Mathematical Consciousness refers to the students in the face of the problem, according to the conditions and problems to choose the appropriate problem-solving strategy to find a solution to the problem of the breakthrough. To strengthen the mathematical consciousness can make the students take the initiative to explore from the passive acceptance, from the passive accumulation to the active sentiment, the problem-solving as a process of opening the mind, make the problem-solving goal, such as smooth flow of natural and smooth, reflects the rhythmic beauty of thinking gymnastics, Eventually become an effective way to reduce burdens and increase efficiency. First, the awareness of foresight For teachers, the foreseeable need to synthesize various factors, foresee the possible situation, timely adjustment of direction, grasp the exploration section