參考書目
一、中文部分
Kamii, C. & Livingston, S. J.著;何素娟譯(2001),重新建構孩子的數學能力─第一級。台北:光佑文化事業股份有限公司。
Kamii, C. & Livingston, S. J.著;何素娟譯(2001),重新建構孩子的數學能力─第二級。台北:光佑文化事業股份有限公司。
Kamii, C. & Livingston, S. J.著;何素娟譯(2001),重新建構孩子的數學能力─第三級。台北:光佑文化事業股份有限公司。
Eves, H著 ; 歐陽絳譯(1993),數學史概論。台北 : 曉園出版社。
John A. V.著 ; 張英傑, 周菊美合譯(2005),中小學數學科教材教法。台北:五南出版社。
王純貞(2004),皮亞傑的「數的發展心理學」(上)。親子教育,115,頁6-8。王純貞(2004),皮亞傑的「數的發展心理學」(下)。親子教育,116,頁6-9 。王懷權(1987),數學發展史。台北市:協進出版社。
吳貞祥(1987),幼兒數概念的發展。國教月刊,36 (9、10),頁13-17。吳新華(1992),數與計算的啟蒙。台北:五南出版社。
林宜城(1995),南投縣山地地區國小兒童位值概念發展之研究。國立台中師範學院初等教育研究所碩士論文。(未出版)。周曉亭(1988),國民小學數學科數與計算教材探討。板橋市:台灣省國民學校教師研習會。
胡豐榮(1995),國小五年級學生理解『十進數』單元位值相關概念之探討。國立彰化師範大學科學教育研究所碩士論文。(未出版)。張杏妃(1997),5-7歲兒童在計數能力及加減問題策略之數概念個案比較。台南師院學生學刊,18,頁164-187。
台灣省國民學校教師研習會主編(2003)。國民中小學九年一貫課程綱要。台北:教育部。
台灣省國民學校教師研習會主編(2000)。國民中小學九年一貫課程暫行綱要。台北:教育部。
黃慧美(2003),玩出數的概念。學前教育,26 (4),頁16-17。楊美伶(1994),我國國民小學低年級數學科課程教材改革之探討。台北:台灣省國民學校教師研習會。
楊美伶(2003),教師如何因應數學課程的變革。國民教育,44 (2),頁27-31。甯自強(1992),正整數概念的啟蒙。教師之友,32 (2),頁45~47。
甯自強(1992),經濟計數的活動~高階單位『十』的首度引入。教師之友,33(5),頁47-51。
甯自強(1998),顏淑茹的數概念。國民教育研究學報,4,頁231-264。蔣智邦等(2000),國小數學教材分析─整數的數概念與加減運算。臺北縣三峽鎮 : 教育部國教研習會。
二、西文部分
Bruner, J. S.(1966) , Toward a theory of instruction. Combridge, MA:Harvard University Press.
Baroody, A. J.; Gannon, K.E., Berent, R., & Ginsburg, H.P.(1983) ,The development of basic formal math abilities. Reports – Research, Speeches/Meeting Papers. (ED229153)
Bednarz, N. & Janviar, B. (1982) , The understanding of numeration in primary school. Educational Studies in Mathematics , 13 , pp.33-57.
Cauley, K.M. (1988) , Construction of logical Knowledge:Study of borrowing in Subtraction. Journal of Educational Psychology, 80 , pp.202-205.
Fuson, K. C.(1997) , Children's conceptual structures for multidigit numbers and methods of multidigit addition and subtraction. Mathematics Education, 28(2), pp.130-162. (EJ543529)
Hinrichs, J. V.(1982) , Number Place-Value Information:Task Analyses and Development. University of Iowa. (ED219238)
Heibert, J.& Wearn, D.(1983) , Student’s conception of decimal numbers. Paper presented at annual meeting of the American Educational Research Association, Montreal.
Inhelder,B. & Piaget,J (1964) , Early growth of logic in the child. New York: Harper & Row.
Kamii,C (1985) , Young children reinvent arithmetic. New York:Teachers College Press.
Lesh, R, Ed; etc. (1979) , Applied Mathematical Problem Solving. Educational Studies in Mathematics, 12(2) , pp.235-264
National Council of Teachers of Mathematics (1989) , Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
Piaget, J. (1971) , Biology and knowlodge. Chicago University of Chicago Press.
Ross, S. (1986) , The developmental of children’s place-value numeration concepts in grades two through five. Paper at the annual meeting of The American educational Research Association, San Francisco.( ED 273482).
Rathmell, E.C.(1969) , The effect of multibase grouping and early or late introductions of base representation on the mastery learning of base and place value numeration in grade one. Dissertation Abstracts International. University Microfilms No. 69-14685.
Shurma, M.C. (1993) , Place value concert:How children learn it and how to teach it. Math Notebook , 10 (1, 2).
Suydam, M.N. & Dassart, D.J.(1980) , Skill learning. Mathematics Education , 11(3), pp.207-243
Smith, R.F. (1972) , A diagnostic study of pupil performance on a test of skills relevant to the mastery of place value tasks. Dissertation Abstracts International, 33, 87A.
Smith, R.F. (1973) , Diagnosis of pupil performance on place value tasks. Arithmetic Teacher, 20, pp.403-408.
Serivens, R.W.(1968) , A comparative study of different approaches to teaching the Hindu-Arabic numeration system to third graders. Dissertation Abstracts, 29, 839A.
Van de Walle, John A.(1988) , The Early Development of Number Relations. Arithmetic Teacher, 35(6), pp.15-21