Abstract
This chapter suggests that the school curriculum in Germany and Taiwan so as to identify the possible differences in mathematical knowledge the future teachers displayed at the beginning of their university study. Mathematical theorems and mathematical proofs play a significantly higher role in the Taiwanese mathematics curriculum. The mathematics curricula in teacher education of different countries were analyzed extensively in Teacher Education and Development Study – Learning to Teach Mathematics as a special component of the overall teacher education curriculum. Felix Klein described the required mathematics which could strengthen the link between school mathematics and university mathematics as elementary mathematics from an advanced standpoint. Linear Algebra is a worldwide common core in the mathematics curriculum at the university level. The mathematics curricula in Germany and Taiwan differ in terms of their breadth and depth, and this has implications for their appropriateness in preparing teachers to teach mathematics in secondary schools.
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