- 學位論文
探討國小六年級學生運用圖象表徵解題之表現
A Study of 6th Graders' Performances in Using Diagrams to Solve Problems
摘要
探討國小六年級學生運用圖象表徵解題之表現 摘要 本研究主要在探討國小六年級學生運用圖象表徵解題之表現。研究對象為體制內以及體制外國小六年級學生。本研究採用個案研究法，研究者以「和差問題」、「餘數問題」、「雞兔問題」、「排列組合問題」以及「植樹問題」五類題型讓學生解題，並要求畫出圖象表徵解題以及不要畫出圖象表徵題解，且在施測後採一對一半結構試晤談，以期了解學生在解題時會產生的圖象表徵種類，以及在不要求學生畫出圖象表徵時學生是否會產生圖象表徵來輔助解題。研究發現學生在解題時較容易畫出線段圖、少數會畫出類真實情境圖。要求畫出圖象表徵組的學生在解題時畫出圖象表徾後，在解釋自己解題過程時較容易說明；而在不要求畫出圖象表徵組的學生解題時容易使用代數解題，但有可能是技巧不夠純熟，而造成解題失敗。且在晤談時對引導學生觀察自己重新產生的圖象表徵或是研究者的圖象表徵，多數學生都可以利用圖象表徵來輔助解題或是修正解題迷思。 關鍵詞：圖象表徵、解題、文字應用題
並列摘要
A Study of 6th Graders’ Performances in Using Diagrams to Solve Problems. Abstract This research is mainly exploring the behavior of the ６th grade students using diagrams to solve problems. Our research objects are the ６th grade students within the system and outside the system. Case study method has been adopted by this research, researchers let the students to solve problems by using 5 kinds of test items, request them to draw or not to draw diagrams and give semi-structured interviews one on one after the test to realize what kind of diagrams will happen when they are solving the problems. And find out will the students bring in diagrams to help them solve the problems while we didn’t ask them to draw it. The research showed that the students were easier to draw line segment when solving problems, and only few of them drewreal-world sitatuations. Students who were asked to draw diagrams are easier to explain the progress of solving problems; yet the students who weren’t asked to draw diagrams are easier to use algebra to solve the problems. However, the problems solving might have failed due to the unfamiliar of skills. During the interview, the students are guided to observe the diagrams that were re-generated by themselves or the diagrams of the researchers. Most of the students were able to use diagrams to help them by solving the problems or correct the myth of problems-solving. keywords：diagrams、problems solving、word problems