For example, from additive commutative law a+b=b+a, the multiplication and exchange law a×b=b ×a can be analogized, the basic properties of fractions can be analogized by learning the law of division quotient constants, and the arithmetic of decimal four can be analogized by learning the arithmetic of integer four. Learning the addition and subtraction of fractions with different denominators can be compared with the addition and subtraction of fractions with the same denominator. When learning prime numbers and composite numbers, we can compare odd numbers and even numbers, and learn to find the least common multiple and the greatest common divisor. Learn to simplify the proportion, which can be compared with the simplest integer proportion. By studying the volume of a cone, we can compare the volume of a cylinder. By comparing their concepts, figures and laws, we can deepen our understanding of their concepts, and then clarify their differences and connections. The analogy between old and new knowledge is helpful to help students build a bridge between old and new knowledge, promote the transfer of knowledge and improve their exploration ability.
Third, the analogy between formulas.
We don't need to ask students to recite some formulas, and we don't need to use sea tactics to consolidate them. As long as the analogy is put together, students can remember it clearly. For example, trapezoidal area formula can be compared with triangular area formula, parallelogram area formula can be compared with rectangular area formula, and sector area formula can be compared with triangular formula. The advantage of this analogy is that students can find solutions to problems according to their own "shape". Such as: a pile of steel, put one on the top and add one from the second floor in turn. If the last floor is 100, how many steel bars are there in this pile?