The three core elements of abstraction, reasoning and model constitute the basic idea of mathematics. The basic idea of mathematics has the following two principles: one is the ideas that mathematics must rely on for its production and development; the second is the basic thinking characteristics that people who have studied mathematics should have.[1] Mathematical education that embodies the basic ideas of mathematics should at least have the following characteristics: pay attention to the degree of consistency between school mathematics tasks and real situations outside school; pay attention to students' emotional fields; pay attention to students' individual socialization; provide adaptive thinking guidance.

Yijie He, Xintao Shen. Reflecting the Basic Idea of Mathematics in Mathematics Education. Frontiers in Educational Research (2022) Vol. 5, Issue 17: 48-51. https://doi.org/10.25236/FER.2022.051709.

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