我國傳統與蒙特梭利教育之幼兒數學能力比較之研究__臺灣人文及社會科學引文索引資料庫

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題名：	我國傳統與蒙特梭利教育之幼兒數學能力比較之研究
書刊名：	臺南師院學報
作者：	許惠欣
出版日期：	1995
卷期：	28
頁次：	頁533-568
主題關鍵詞：	蒙特梭利教育；幼兒；數學能力
原始連結：	連回原系統網址
相關次數：	被引用次數:期刊(6) 博士論文(1) 專書(1) 專書論文(0) 排除自我引用:5 共同引用:0 點閱:78

　　　　　本研究之主旨乃在探討我國傳統與蒙特梭利教育之幼兒的非正式與正統數學能力是否有教育方法、性別與年齡之差異性，以及兩種教育之幼兒的數算策略與錯誤型態是否有差異性。本研究以台南市四所幼稚園大班80名幼兒為受試者(傳統與蒙式教育之幼兒各佔一半，年齡範圍自五歲半至六歲五個月，平均年齡為五歲十一個月)以 Ginsburg與 Baroody(1983)所編製之「幼兒數學能力測驗」 (The Test of EarlyMathematics Ability)為個別施測工具，再以t考驗與答對比例之Z 值比較、分析兩種教育之差異性。研究結果顯示:在非正式數學能力方面，傳統教育之幼兒較優異，尤其是二十以內之倒數、以十跳數與合理性數算等數算技能;在正統數學能力方面，蒙式教育之幼兒較優異，尤其是四位數之數字讀寫與減法數字運算表心算之能力。除了在合理性數算時，有較多蒙式教育之幼兒應用「以二跳數」之策略代替「默數」策略以外，兩種教育之幼兒在各種數算策略之應用上均無差異性。除了蒙式教育之幼兒在數字接龍時有偏大數字之傾向，在加減心算與計算時有較多「自創式」之錯誤策略以外，兩種教育之幼兒的數算錯誤型態或策略都極為相似。

以文找文

　　　　　The purposes of this study were to investigate the ageand gender differences of children's informal and formalmathematics abilities and the differences of children'scounting and error strategies between the traditional andMontessori education. Eighty subjects ranged from 5 yearsand 6 months to 6 years and 5 months ( M= 5 years and IImonths) were selected from four kindergartens in Tainan (40children in each method ) . "The Test of Early MathematicsAbility" designed by Ginsburg and Baroody (1983) was used asan individual test of this study. Children's differences betweenthe tradition and Montessori education were compared andanalyzed by use of t-test and Z value of passing ratio. The results of this study showed that children with thetraditional education performed better on informalmathematics abilities ( i.e., counting backwards from 20, skipcounting by 10s, and rational counting ) . Montessori childrenperformed better on formal mathematics abilities ( i.e., readingand writing four-digit numerals and subtraction facts) . Inaddition that more Montessori children used the strategy of"skip counting by 2s" instead of "mental counting by Is" inrational counting; more larger numbers in "counting after me",and more "invented" error strategies in calculation, there wereno differences between two kinds of education concerningcounting strategies and error strategies.

以文找文

期刊論文
1.	許惠欣(1990)。幼兒數學活動之範疇。幼教資訊，9，11-13。延伸查詢
2.	Baroody, A. J.(1984)。Children's difficulties in subtraction: Some causes and questions。Journal for Research in Mathematics Education，15(3)，203-213。
3.	Baroody, A. J.(1984)。Children's difficulties in subtraction: Some causes and cures。Arithmetic Teacher，32(3)，14-19。
4.	Baroody, A. J.、White, M. S.(1983)。The development of counting skills and number conservation。Child Study Journal，13(2)，95-105。
5.	Bergan, J. R.、Stone, C. A.、Feld, J. K.(1984)。Rule placement in the development of basic number skills。Journal of Educational Psychology，76(2)，289-299。
6.	Clements, D. H.(1984)。Training effects on the development and generalization of Piagetian logical operations and knowledge of number。Journal of Educational Psychology，76(5)，766-776。
7.	Clements, D. H.、Callahan, L. G.(1983)。Number or prenumber foundational experiences for young children: Must we choose?。Arithmetic Teacher，31(3)，34-37。
8.	D'Ambrosio, U.(1985)。Ethnomathematics and its place in the history and pedagogy of mathematics。For the Learning of Mathematics，5(1)，44-48。
9.	D'Ambrosio, U.(1987)。Ethnomathematics, what it might be。International Study Group on Ethnomathematics Newsletter，3(2)。
10.	Miezitis, S.(1971)。The Montessori m ethod: Some recent research。Interchange，2(2)，41-59。
11.	Frank, A. R.(1989)。Counting skills: A foundation for early mathematics。Arithmetic Teacher，37(1)，14-17。
12.	Gelman, R.(1980)。What young children know about numbers?。Educational Psychologist，15(1)，54-68。
13.	Hughes, M.(1981)。Can preschool children add and subtract?。Educational psychology，1，207-219。
14.	Hughes, M.(1983)。Teaching arithmetic to preschool children。Educational Review，35(2)，163-174。
15.	Jones, G. A.、Thornton, C. A.(1993)。Children's understanding of place value: A framework for curriculum development and assessment。Young Children，48(5)，12-18。
16.	Kraner, R. E.(1978)。An acquisition age of quantitative concepts of children from three to six years old。Journal of Experimental Education，46(2)，52-59。
17.	Miller, L. B.、Dyer, J. L.(1975)。Four preschool programs: Their dimensions and effects。Monographs of the Society for Research in Child Development，40(5/6)=162，1-170。
18.	Miller, L. B.、Bizzell, R. P.(1983)。Long-term, effects of four preschool programs: Sixth, seventh, and eighth grades。Child Development，54(3)，727-741。
19.	Miller, L. B.(1984)。Long-term effects of four preschool program: Ninth and tenth grade results。Child Development，5(4)，1570-1587。
20.	Newman, R. S.、Berger, C. F.(1984)。Children's numerical estimation: Flexibility in the use of counting。Journal of Educational Psychology，76(1)，55-64。
21.	Newman, R. S.、Friedman, C. A.、Gockley, D. R.(1987)。Children's use of multiple-counting skills: Adaptation to task factors。Journal of Experimental Child Psychology，44(2)，268-282。
22.	Nichols, A. E.(1984)。Montessori language lessons: The almost silent way。MinneTESOL Journal，4，7-22。
23.	Ou, M.(1990)。The development of arithmetic ability of Chinese children。Early Child Development and Care，57(1)，75-83。
24.	Rea, R. E.、Reys, R. E.(1970)。Mathematical competencies of entering kindergarteners。Arithmetic Teacher，17(1)，65-74。
25.	Rea, R. E.、Reys, R. E.(1971)。Competencies of entering kindergarteners in geometry, number, money, and measurement。School Science and Mathematics，71(5)，389-402。
26.	Saxe, G. B.(1977)。A developmental analysis of notational counting。Child Development，48(4)，1512-1520。
27.	Saxe, G. B.(1979)。Developmental relations between notational counting and number conservation。Child Development，50(1)，180-187。
28.	Saxe, G. B.(1983)。Culture, counting, and number conservation。International Journal of Psychology，18(3/4)，313-318。
29.	Schaeffer, B.、Eggleston, V. H.、Scott, J. L.(1974)。Number development in young children。Cognitive Psychology，6(3)，357-379。
30.	Secada, W. G.、Fuson, K. C.、Hall, J. W.(1983)。The transition from counting-all to counting-on in addition。Journal for Research in Mathematics Education，14(1)，47-57。
31.	Sinclair, A.、Sinclair, H.(1984)。Preschool children's interpretation of written number。Human Learning，3，173-184。
32.	Thompson, P. W.(1994)。Concrete materials and teaching for mathematical understanding。Arithmetic Teacher，41(9)，556-558。
33.	Wexley, K.、Guidubaldi, J.、Kehle, T.(1974)。An evaluation of Montessori and day care programs for disadvantaged children。The Journal of Educational Research，68(3)，95-99。
34.	Wilkinson, A. C.(1984)。Children's partial knowledge of the cognitive skill of counting。Cognitive Psychology，16(1)，28-64。
35.	Wynn, K.(1990)。Children's understanding of counting。Cognition，36，155-193。
36.	Wynn, K.(1992)。Children's acquisition of the number words and the counting system。Cognitive Psychology，24(2)，220-251。
37.	Yussen, S. R.、Mathews, S.、Knight, J. W.(1980)。Performance of Montessori and traditionally schooled nursery children on social cognitive tasks and memory problems。Contemporary Educational Psychology，5，124-137。

會議論文
1.	簡淑真(1990)。台灣東部學前兒童數數行為調查研究。台灣省第一屆教育學術論文發表會，601-608。延伸查詢
2.	Baroody, A. J.、Gannon, K. E.(1983)。The use of economical mental addition strategies by young children。The Annual Meeting of the American Educational Research Association。
3.	Brenner, M. E.(1989)。Children make sense of numbers: The development of ideas about written numerals。The Annual Meeting of the American Educational Research Association。
4.	Callahan, L. G.(1978)。Counting performance and achievement: Some preliminary observations。Clinical investigations in mathematics education: thematic addresses from the Fourth National Conference on，87-101。
5.	Denmark, T.(1975)。Diagnosis of entry concepts and skills: Grade one and two。The Third National Conference on Remedial Mathematics。Kent, OH：Kent State University。
6.	Heddens, J. W.(1978)。Reaction paper to counting performance and achievement: Some preliminary observations。Thematic addresses from the Fourth National Conference on Diagnostic and Prescriptive Mathematics，102-107。
7.	Secada, W. G.(1982)。The use of counting for subtraction。The Annual Meeting of the American Educational Research Association。

學位論文
1.	Hsu, H. H.(1987)。An integrated model for learning number concepts at the preschool level in Taiwan(博士論文)。Vanderbilt University。

圖書
1.	許惠欣(1987)。幼兒「該」如何學習數概念？--統合模式。台南：台南市私立光華女子高級中學。延伸查詢
2.	Brainerd, C. J.(1982)。Children's logical and mathematical cognition: Progress in cognitive development research。NY：Springer-Verlag。
3.	Broman, B. L.(1982)。The early years in childhood education。Boston, MA：Houghton Mifflin Co.。
4.	Fuson, K. C.(1988)。Children's counting and concepts of number。NY：Springer-Verlag。
5.	Fuys, D. J.、Tischler, R. W.(1979)。Teaching mathematics In the elementary school。Boston, MA：Little, Brown & Company。
6.	Gelman, R.、Gallistel, C. R.(1978)。The child's understanding of number。Harvard University Press。
7.	Ginsburg, H. P.(1982)。Children's arithmetic: How they learn it and how you teach it。Austin, TX：PRO-ED。
8.	Ginsburg, H. P.、Baroody, A. J.(1983)。Test of early mathematics ability。Austin, TX：PRO-ED。
9.	Lave, J.(1988)。Cognition in practice。Cambridge University Press。
10.	Nunes, T.、Schliemann, A. D.、Carraher, D. W.(1993)。Street mathematics and school mathematics。Cambridge University Press。
11.	Riedesel, C. A.(1985)。Teaching elementary school mathematics。Englewood Cliffs, NJ：Prentice-Hall, Inc.。
12.	Steffe, L. P.、Von Glasersfeld, E.、Richards, J.、Cobb, P.(1983)。Children's counting types: Philosophy, theory, and application。New York, NY：Preager Publishers。

單篇論文
1.	Resnick, L. B.(1984)。A developmental theory of number understanding(ED 251 328)。
2.	Simons, J. A.，Simons, F. A.(1984)。Montessori and regular preschoolers: A comparison(ED 247 031)。
3.	Stallings, J.(1987)。Longitudinal findings for early childhood programs: Focus on direct instruction(ED 297 874)。

圖書論文
1.	Carpenter, T. M.、Moser, J. M.(1982)。The development of addition and subtraction problem solving skills。Addition and subtraction: A cognitive perspective。Hillsdale, NJ：Lawrence Erlbaum。
2.	Fuson, K. C.、Hall, J. W.(1983)。The acquisition of early number word meaning: A conceptual analysis and review。The development of mathematical thinking。New York, NY：Academic press。
3.	Karnes, M. B.、Schwedel, A. M.、Williams, M. B.(1983)。A comparison of five approaches for educating young children from low income homes。As the twig is bent。Hillsdale, NJ：Lawrence Erlbaum。
4.	Siegler, R. S.、Robinson, M.(1982)。The development of numerical understanding。Advances in child development and behavior。New York：Academic Press。

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