| Summary: | 碩士 === 國立臺灣師範大學 === 數學系在職進修碩士班 === 93 === The Case Study of “Inquiry and Discovery” Teaching Method
-on Pythagorean Theorem
Abstract
The main purpose of this study is to understand: under the circumstances of the educational environment in Taiwan, if it is feasible to utilize a different teaching method-“Inquiry and Discovery” teaching method other than the traditional way of teaching, how it affects a senior teacher and what the impact is of trying a new teaching method on her ordinary daily teaching, and observe the students’ learning process and performance during the teaching. And because the Pythagorean Theorem is the main theme of the teaching context, students’ learning concerning generating conjecture, justification of the conjecture and reasoning and proving the result is also analyzed.
The results of this study show that:
1. Students’ performance under the teaching method of “Inquiry and Discovery”
（i） Students are able to manipulate the geometric figures through cutting, combining, translating and rotating in order to explain the area of different squares.
（ii） Some of the students are able to apply the equivalence concept of if P then Q and if ~Q then ~P. And about 2/3 of the class can differentiate the relationship between P and Q among the proposition of if P then Q.
（iii） Students are able to do the explanation and reasoning via multi-representation towards deductive reasoning with symbols.
Study shows that teaching with “Inquiry and Discovery” teaching method is feasible in mathematics classroom in Taiwan.
|
|---|
