| Summary: | 碩士 === 國立清華大學 === 數理教育研究所碩士在職專班 === 106 === The research is discoursed the teacher beyond the system designed the conjecturing task in the cram school for the first time. In the stage of designing and Implementing of constructing cases, revised constructing cases by teaching.
The researcher’s target is「both of task and construction needed complete」,「construct suitable teaching target」. The researcher is through strategy of data analysis and worksheet design to complete the task design of constructing cases stage. After teaching, observed the students’ performance of constructing cases stage and analyzed the students’ conjecture. Adjected the design, and then proceed on the teaching for second time. In the conjecture the target of first stage is 「student can constructing cases by himself」,「student can write down the correct data of constructing cases and can classify that」, the target of second stage is 「make students propose the conjecture conformed with the teaching target」.
The research made the student’s conjecture divide into the four kinds, including 「conformed with the teaching target」,「new target」,「non-target」,「others」.the research found there are four situations which can influence student‘ s conjecture. The first kind, data of constructing cases is not enough. The second kind, the layout of worksheet is not suitable. The third kind, worksheet doesn’t appear the data relative to the teaching target. The fourth kind, data of constructing cases appear the false or non-relative concept. The first three kinds will cause the expectative teaching target can’t be appeared. The fourth kind will make students propose non-relative or false concept. When designing, through implementing teaching, can skip interferential data. When appearing the conjecture relative to the intention target, and it can increase the teaching target, retained as the class conjecture.
Finally, proposed the suggestion to this research about mathematics conjecture task design, revised the conjecture task after teaching and the research in the future.
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