| Summary: | 碩士 === 東吳大學 === 數學系 === 102 === This thesis is concerned with describing and evaluating the effectiveness of integrating free mathematical software, Geogebra, into high school mathematics instruction, so as to achieve both enhancement and better balance of student performance with respect to two year compulsory high school mathematics curricula. Our primary concern is to demonstrate how that such information technology can be helpful in both elevating and narrowing the educational outcomes in the classroom. Our target population consisted of 10th-12th grade high school students in Taiwan, as well as vocational school students; both groups showing a wide range of mathematical maturity and experience. A total of ninety-nine actual secondary school curricula, dealing with a particularly important area of mathematical training, were used. The subject area of interest to us in this thesis focused specifically on the integration of Geogebra into the teaching of trigonometry at the level exemplified by two sources: (1) Book 3, Chapter 3 of the uniform mathematical text used in Taiwan high schools, and (2) Book 1, Chapter 2 of the B-level vocational secondary schools in Taiwan. Students were divided into three levels and Geogebra programs and parallel instructional operations were introduced as useful and thought provoking supplements to the usual teaching. The software required students to complete certain tasks and exercises, which were expressly calibrated to the needs and backgrounds of the three groups of students. Inferential statistical assessment of the results from the performance of the three groups indicated no statistically significant difference in outcomes; thus providing strong and positive evidence of the beneficial effect of the software on students and the ensuring of quality education for all students, regardless of their background.
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