- 作者: 林福來
- 作者服務機構: 國立台灣師範大學數學系
- 中文摘要: 比例推理時的‘加者’,是指一致地使用不正確的加法策略,處理較難的比例問題的人。為了調查這些‘加者’在處理一般比例問題時的解題策略,以及犯錯的理由,我們訪談三十三位台灣國中生中的‘加者”對於較簡易的比例問題,這些台灣‘加者’的解題策略主要是用乘除運算,這跟英國的加者依賴加的策略很不一樣。為了能較完整地描繪台灣‘加者’的特徹,訪談項目包括:非整數的倍數之察覺能力,分數與小數的應用能力,圖形內線段比與兩圖形間對應線段比的察覺能力,以及比例與非比例問題的辨別能力。我們發現台灣加者使用不正確加法策略的主要原因是,不承認非整數倍是一種倍數關係。 最後,將台灣加者與英國加者的特徵,列表比較。
- 英文摘要: Adders are students who consistently use the incorrect-addition strategy on 'hard' ratio items. Inorder to investigate their errors and strategies on ratio tasks, 33 Taiwan adders were interviewed.Unlike English adders who use addition-based methods on easy ratio items, the Taiwan adders usemultiplicative algorithms predominantly on these items. In order to provide a fuller description ofadders' characteristics, some aspects, such as awareness of non-integer multiples, the use of fractionsand decimals, awareness of both within and between ratios, and distinguishing non-ratio contextsfrom ratio contexts, were investigated. As a result,some characteristics of Taiwan adders and Englishadders are compared in this paper.
- 中文關鍵字: misconception; ratio and proportion; errors analysis
- 英文關鍵字: --