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美学告诉我们:人类最珍贵的特性是实践中自由的创造;劳动本身如果表现为生动的形象,同样也是美的——这就是美的根源。从数的发现(自然数——有理数——无理数——虚数),式的发现(代数式——方程(等式)——不等式),运算的发现(加减——乘除——乘方、开方——微积分),空间的发现(一维空间——二维空间——三维空间——n维空间),无不反映了科学技术的发展,也凝聚了数学家们长期艰苦卓绝的创造性劳动。正因为他们的创造,才使得数学更加和谐、更加完美。他们创造了数学美,同时也创造了他们自身的美。学数学本身是一种艰苦的创造者劳动。一个善于学习的人,一个酷爱数学科学的人,一定是一个善于思索、勇于独创的人。因为只有在创造性的劳动中,人们才有可能领略探索真理的甘苦,才能享受攀登高峰的喜悦。实际上,学生无论是弄清一个概念、掌握一个公式,或者解决一个问题,都孕育着再发现
Aesthetics tells us that the most precious feature of mankind is the creation of freedom in practice; if labour itself manifests itself in a vivid image, it is also beautiful—this is the root of beauty. From the discovery of numbers (natural numbers - rational numbers - irrational numbers - imaginary numbers), the discovery of formulas (algebraic equations - equations (equations) - inequalities), the discovery of operations (addition and subtraction - multiplication and division - squares, square roots - Calculus, the discovery of space (one-dimensional space - two-dimensional space - three-dimensional space - n-dimensional space), all reflect the development of science and technology, but also condensed the long-term arduous creative work of mathematicians. It is precisely because of their creation that makes mathematics more harmonious and perfect. They created the beauty of mathematics and also created their own beauty. Learning mathematics itself is a labor of hard work. A person who is good at learning, a person who loves the science of mathematics, must be a person who is good at thinking and brave to create. It is because only in creative labor can people appreciate the pains of exploring the truth and enjoy the joy of climbing the peak. In fact, whether the student understands a concept, grasps a formula, or solves a problem, he or she is pregnant and rediscovered.