| Summary: | 碩士 === 中原大學 === 應用數學研究所 === 103 === Abstract
This study aims to investigate the important concepts and questions about Factorizing Polynomial based on the analysis of teaching curriculum in junior high school, especially for mathematically-gifted students. The analysis includes teaching materials on the common factors,multiplication formula,cross method, packet disassembly,formula method, supplementary teaching materials, and tests specifically designed for gifted students. In addition to analysis, compiling teaching materials are used to enhance the ability of mathematically gifted students in mathematics learning.
The results of this study could facilitate students to make use of experiences of solving problems, combine problem-solving skills , and improve junior high school students’judgments and realization of logical thinking. And through these materials, students can learn various forms of Factorizing Polynomial in order to activate and stimulate students’learning motivation , also enhance their thinking in various ways.
It should be concluded, from literature reviews and the analysis of tests, as following.
1.For Factorizing Polynomial, there are corresponding problem-solving skills
from different variables, the power of n and number of items .Except the important concepts based on teaching curriculum in junior high school, operation capacity is also an important key to solving the full, complex calculations. Clearly calculating facilitates students to find out the answers effectively.
2.In addition, good observation and enough mathematical knowledge can help students extensive speculated conjectures, with adequate knowledge links that can associate with solving keys and skills, and help students solve problems.
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