參考文獻
中文部份
支毅君(1997)。我國國小三年級數感教學研究。台東師院學報,86(8),83-116。王菱玉(2002)。職前教師回答數字常識問題所使用之解題策略的個案研究。科學教育研究與發展季刊,27,57-80。王菱玉(2003)。職前教師面對數字常識問題表現之研究。未出版之碩士論文,國立嘉義大學國民教育研究所,嘉義。宋秋美(2004)。台北市國小英語教師學科教學知識之研究。彰化師大教育學報,6,63-94。宋佩芬(2003)。培養「帶得走的能力」:再思統整與學科知識。教育研究月刊,115,123-136。呂玉琴(1998)。國小教師分數教學相關知識研究。台北師院學報,11,393-438。林怡靜(2004)。國小教師的數感相關知識與其教學觀點之探討。未出版之碩士論文,台北市立教育大學數學資訊教育研究所,台北。林素微(2005)。國小高年級數感情境測驗發展及應用之探討(國科會專題研究計劃成果報告編號:NSC93-2521-S-026-001)。台北:中華民國行政院國家科學委員會。
侯淑芬(2006)。整數數感融入國小四年級數學科之教學研究。科學教育學刊,14(2),121-147。
徐偉民(2004)。另類數學教學:以故事為媒介。屏師科學教育,19,37-45。
徐俊仁(2001)。發展國小六年級學生數字常識能力之研究。未出版之碩士論文,國立嘉義大學國民教育研究所,嘉義。許清陽、楊德清(2001)。數字常識在國小數學科教學的重要性。教育資料與研究,41,42-49。許清陽(2006)。國小學童數感理論模式建構與電腦化數感診斷測驗系統之研究。未出版之博士論文,高雄師範大學,高雄。黃幸美(2005)。連結生活化情境與生產性練習的數學教學檢討。教育資料與研究雙月刊,64,89-101。黃幸美(2001)。生活數學之教學理念與實務。教育研究雙月刊,91,63-73。黃瑞琴(2008)。質的教育研究方法。台北:心理。
黃敏晃主編,林文生、鄔瑞香(1999)。數學教育的藝術與實務~另類教與學。台北:心理。
溫世展、呂玉琴(2004)。影響國小教師數學教學相關信念與教學是否一治之原因探討。國立台北師範學院學報,17(2),23-52。楊德清(2000)。國小六年級學生回答數字常識問題所使用之方法。科學教育學刊,8(4),379-394。楊德清(2002)。從教學活動中幫助國小六年級學生發展數字常識能力之研究,科學教育學刊,10(3),233-260。楊德清(2006)。從兒童迷思概念談數常識之教學經驗分享。台灣數學教師電子期刊,7,3-10。
楊德清(2003)。九年一貫數學領域新能力指標—電腦化數字常識評定量表之設計與編製。(國科會專題研究計劃成果報告編號:NSC92-2521-S-415-002)。台北:中華民國行政院國家科學委員會。
劉怡亭(2001)。影響學科教學知識的發展來源。國教輔導,4,48-52。簡宏晉(2010)。六位國小教師數常識解題與數常識觀點之探究。未出版之碩士論文,國立嘉義大學數學教育研究所,嘉義。教育部(2003)。國民中小學九年一貫課程綱要。台北:教育部。
外文部份
Anghileri, J. (2006). Teaching number sense. UK: Continuum International Publishing Group Ltd.
Alajmi, A., & Reys, R. (2007). Reasonable and reasonableness of answers: Kuwaiti middle school teachers’ perspectives. Educational Studies in Mathematics, 65(5), 77–94.
Australian Education Council. (1991). A national statement on mathematics for Australian schools. Melbourne: Curriculum Corporation.
Brown, J. S., Collins, A., & Duguid, P. (1989). Situated cognition and the culture of learning. Educational Researcher, 18(1), 32-42.
Berch, D. B. (2005). Making sense of number sense: Implications for children with mathematical disabilities. Journal of Learning Disabilities, 38(4), 333-339.
Brownell, W. A. (1935). Psychological considerations in the learning and the teaching of arithmetic. In Reeve (Ed.), The teaching of arithmetic (pp. 19-51). Reston, VA: NCTM.
Burns, M. (1994). Arithmetic: The last holdout. Phi Delta Kappen, 1, 471-476。
Case, R. (1989). Fostering the development of children’s number sense: Reflection on the conference. In J. T. Sowder & B. P. Schappelle (Eds.), Establishing foundations for research on number sense and related topics: Report of a conference (pp. 57-64). San Diego: San Diego University, Center for Research in Mathematics and Science Education.
Dehaene, S. (1997). The number sense: How the mind creates mathematics. New York:
Oxford University .
Dunphy, E. (2007). The primary mathematics curriculum: Enhancing its potential for developing young children’s number sense in the early years at school. Irish Educational Studies, 26(1), 5-25.
Fennema, E., & Franke, M. L. (1992). Teachers’ knowledge and its impact. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 147-164). New York: Macmillan Publishing Company.
Griffin, S. (2004). Building number sense with number words: A mathematics programs for young children. Early Childhood Research Quarterly, 19, 173-180.
Gurganus, S. (2004). Promote number sense. Intervention in School and Clinic, 40(1), 55-58.
Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States. Mahwah, NJ:Lawrence Erlbaum.
McIntosh, A., Reys, B. J., Reys, R. E., Bana, J., & Farrel, B. (1997). Number sense in school mathematics: Student performance in four countries. Mathematics, Science, & Technology Education Centre, Edith Cowan University.
Menon, R. (2004a). Elementary school children’s number sense. International Journal for Mathematics Teaching and Learning. http://www.cimt.plymouth.ac.uk/journal/default.htm
Menon, R. (2004b). Pre-service teachers’ number sense. Focus on Learning Problems in Mathematics, 26(2), 49-61.
National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.
National Council of Teachers of Mathematics. (2000). The principles and standards for school mathematics. Reston, VA: NCTM.
Reys, B. J. (1994). Promoting number sense in the middle grades. Mathematics Teaching in the Middle School, 1(2), 114-120.
Reys, R. E. (1998). Computation versus number sense. Mathematics Teaching in the Middle School, 4(2), 110-112.
Yang, D. C., & Reys, R. E. (1998). Relationship between computational performance and number sense among sixth- and eighth-grade students in Taiwan. Journal for Research in Mathematics Education, 29, 225-237.
Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform.
Harvard Educational Review, 57(1), 1-22
Sowder, J. T. (1989). Introduction. In J. T. Sowder & B. P. Schappelle (Eds.), Establishing foundations for research on number sense and related topics: Report of a conference (pp.1-5). San Diego: San Diego University, Center for Research in Mathematics and Science Education.
Sowder, J. T. (1992a). Estimation and number sense. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp.371-389). New York:Macmillan.
Sowder, J. T. (1992b). Making sense of numbers in school mathematics. In G. Leinhardt & R. Hatterp (Eds.), Analysis of arithmetic for mathematics teaching (pp.1-51). Hillsdale, NJ: Erlbaum.
Yang, D. C., & Reys, R. E. (2001a). Developing number sense. Mathematics Teaching, 176, 39-41.
Yang, D. C., & Reys, R. E. (2001b). One fraction problem: Many solution paths. Mathematics Teaching in the Middle School, 7(3), 164-166.
Yang, D. C. (2002). Teaching and learning number sense: one successful process-oriented activity with six grade students in Taiwan. School Science and Mathematics, 102(4), 152-157.
Yang, D. C., & Reys, R. E. (2002). Fractional number sense strategies possessed by sixth grade students in Taiwan. Hiroshima Journal of Mathematics Education, 10, 53-70.
Yang, D. C. (2003). Teaching and learning number sense – An Intervention Study of fifth grade students in Taiwan. International Journal of Science and Mathematics Education, 1(1), 115-134.
Yang, D. C., Hsu, C. J., & Huang, M. C. (2004). A study of teaching and learning number sense for sixth grade students in Taiwan. International Journal of Science and Mathematics Education, 2(3), 407-430.
Yang, D. C. (2005). Number sense strategies used by sixth grade students in Taiwan. Educational Studies, 31(3), 317-334.
Yang, D. C. (2006). Developing number sense through real-life situations in school of Taiwan. Teaching Children Mathematics, 13(2), 104-110.
Yang, D. C., Li, M. N., & Lin, C. I. (2008). A study of the performance of 5th graders in number sense and its relationship to achievement in mathematics. International Journal of Science and Mathematics Education, 6(4), 789-800.
Yang, D. C., & Li, M. N. (2008). An investigation of 3rd grade Taiwanese students’ performance in number sense. Educational Studies, 34(5), 443–455.
Yang, D. C., Reys, R. E., & Reys, B. J. (2009). Number sense strategies used by pre-service teacher in Taiwan. International Journal of Science and Mathematics Education, 7, 383-403.
Yang, D. C., & Wu, W. R. (2010). The study of number sense realistic activities integrated into third-grade math classes in Taiwan. The Journal of Educational Research, 103(6), 379-392