The comprehensive study of developing theory, practice and contents connecting between elementary and secondary mathematics through design experiments

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This study aims at finding the theoretical and empirical bases on the transition from elementary to secondary mathematics through design experiments. We designed two transitional processes in which students developed their recognitions of functional graphs based on their views of rate and in which they enhanced their recognitions of proof through cultivating their dynamic and flexible views of figures, and implemented the experiments. Then, we have extracted and theorized the findings on the transition by analyzing the data qualitatively.