数学思维教育是21世纪数学教育的核心。

Maths thinking education is the centre in 21 century .

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教育者空怀着一种希望，希望学生在学习地理、数学、语文、生物学等等课程的过程中，会学会批判性思维。

The vain hope is that in the process of studying geography, math, English, biology, and so on, students will learn to think critically.

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在数学教学中，要求学生通过自己的思维来学习，这是普通教育首要的教学目的和要求。

So as to mathematic teaching, requiring students study overpass their thinking, this is chiefly leaching aim and request of liberal education.

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