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2013a.00394 Xu, Zhangtao Implementation of the theory of variation with the ``$Z+Z$" intelligent education platform. J. Math. Educ. (Tianjin) 21, No. 4, 28-31 (2012). 2012 Editorial Department of Journal of Mathematics Education c/o Tianjin Normal University, Tianjin ZH D40 U70 U50 theory of variation $Z+Z$ intelligent platform mathematical activity experience ability of thinking Summary: Mathematics studies the invariance and invariant of variety. The theory of variation in the field of mathematics teaching fits the process of ``doing mathematics". Pedagogy of variation is an effective Chinese teaching experience, and ``$Z+Z$" intelligent education platform makes a new way for the development of this Chinese teaching experience. This cognition tool, ``$Z+Z$" intelligent education platform, condenses the experience of mathematicians inquiring the activity of the world, making it possible for the students to develop the ability of the thinking by the ``shoulders of predecessors".