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How much time do students have to think about teacher questions? An investigation of the quick succession of teacher questions and student responses in the German mathematics classroom
Several studies have shown that the style of the German mathematics classroom at secondary level is mostly based on the so called...
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Reflection and metacognition in mathematics education— Tools for the improvement of teaching quality
On the basis of a category system that classifies metacognitive activities, the first part of this paper shows to what extent reflection can be...
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Students' performance in reasoning and proof in Taiwan and Germany: Results, paradoxes and open questions
In different international studies on mathematical achievement East Asian students outperformed the students from Western countries. A deeper...
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The teaching of proof at the lower secondary level—a video study
Teaching mathematical proof is one of the most challenging topics for teachers. Several empirical studies revealed repeatedly different kinds of...