國小二年級學生在古氏積木、錢幣、櫻桃表徵物問題下的位值概念研究_

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題名：	國小二年級學生在古氏積木、錢幣、櫻桃表徵物問題下的位值概念研究
書刊名：	臺灣數學教育期刊
作者：	蔡曉回／袁媛
作者(外文)：	Tsai, Hsiao-hui／Yuan, Yuan
出版日期：	2020
卷期：	7:2
頁次：	頁25-44
主題關鍵詞：	古氏積木；位值概念；表徵；例行性十進位；Cuisenaire rods；Place value；Representation；Canonical base 10
原始連結：	連回原系統網址
相關次數：	被引用次數:期刊(0) 博士論文(0) 專書(0) 專書論文(0) 排除自我引用:0 共同引用:1 點閱:3

期刊論文
1.	Ho, C. S. H.、Cheng, F. S. F.(1997)。Training in place-value concepts improves children's addition skills。Contemporary Educational Psychology，22(4)，495-506。
2.	Kamii, C. K.(1986)。Place Value: An Explanation of Its Difficulty and Educational Implications for the Primary Grades。Journal of Research in Childhood Education，1(2)，75-86。
3.	Miura, I. T.、Okamoto, Y.(1989)。Comparisons of U.S. and Japanese first graders' cognitive representation of number and understanding of place value。Journal of Educational Psychology，81(1)，109-114。
4.	Carraher, T. N.、Carraher, D. W.、Schliemann, A. D.(1985)。Mathematics in the streets and in schools。British Journal of Developmental Psychology，3(1)，1-29。
5.	周筱亭(19871200)。位值的重要性。研習資訊，36，9-16。延伸查詢
6.	Fuson, K. C.、Briars, D. J.(1990)。Using a Base-Ten Blocks Learning/Teaching Approach for First- and Second-Grade Place-Value and Multidigit Addition and Subtraction。Journal for Research in Mathematics Education，21(3)，180-206。
7.	Fuson, K. C.(1990)。Issues in Place-Value and Multidigit Addition and Subtraction Learning and Teaching。Journal for research mathematics education，21(4)，273-280。
8.	Hiebert, J.、Wearne, D.(1992)。Links between teaching and learning place value with understanding in first grade。Journal for Research In Mathematics Education，23(2)，98-122。
9.	Ross, S. H.(1989)。Parts, Wholes, and Place Value: A Developmental view。Arithmetic Teacher，36(6)，47-51。
10.	Chan, B. M. Y.、Ho, C. S. H.(2010)。The cognitive profile of Chinese children with mathematics difficulties。Journal of Experimental Child Psychology，107(3)，260-279。
11.	Chan, W. W. L.、Au, T. K.、Tang, J.(2014)。Strategic counting: A novel assessment of place-value understanding。Learning and Instruction，29，78-94。
12.	Moeller, K.、Pixner, S.、Zuber, J.、Kaufmann, L.、Nuerk, H. C.(2011)。Early place-value understanding as a precursor for later arithmetic performance--A longitudinal Study on numerical development。Research in Developmental Disabilities，32(5)，1837-1851。
13.	袁媛、陳國龍、林秀卿(20170700)。國小低年級學生在不同表徵物問題的位值概念研究。課程與教學，20(3)，113-138。延伸查詢
14.	黃一泓、謝進泰(20160600)。兩種線段圖表徵解題策略在學習成效上的比較。教育心理學報，47(4)，581-601。延伸查詢
15.	Baranes, R.、Perry, M.、Stigler, J. W.(1989)。Activation of real-world knowledge in the solution of word problems。Cognition and Instruction，6(4)，287-318。
16.	Baroody, A. J.(1989)。Manipulatives don't come with guarantees。The Arithmetic Teacher，37(2)，4-5。
17.	Chan, W. W. L.、Au, T. K.、Lau, N. T. T.、Tang, J.(2017)。Counting errors as a window onto children's place-value concept。Contemporary Educational Psychology，51，123-130。
18.	Dietrich, J. F.、Huber, S.、Dackermann, T.、Moeller, K.、Fischer, U.(2016)。Place-value understanding in number line estimation predicts future arithmetic performance。British Journal of Developmental Psychology，34(4)，502-517。
19.	Fraivillig, J. L.(2018)。Enhancing established counting routines to promote place-value understanding: An empirical study in early elementary classrooms。Early Childhood Education Journal，46(1)，21-30。
20.	Laski, E. V.、Ermakova, A.、Vasilyeva, M.(2014)。Early use of decomposition for addition and its relation to base-10 knowledge。Journal of Applied Developmental Psychology，35(5)，444-454。
21.	Laski, E. V.、Schiffman, J.、Shen, C.、Vasilyeva, M.(2016)。Kindergartners' base-10 knowledge predicts arithmetic accuracy concurrently and longitudinally。Learning and Individual Differences，50，234-239。
22.	Mix, K. S.、Prather, R. W.、Smith, L. B.、Stockton, J. D.(2014)。Young children's interpretation of multidigit number names: From emerging competence to mastery。Child Development，85(3)，1306-1319。
23.	Mix, K. S.、Smith, L. B.、Stockton, J. D.、Cheng, Y. L.、Barterian, J. A.(2016)。Grounding the symbols for place value: Evidence from training and long-term exposure to base-10 models。Journal of Cognition and Development，18(1)，129-151。
24.	Saxton, M.、Cakir, K.(2006)。Counting-on, trading and partitioning: Effects of training and prior knowledge on performance on base-10 tasks。Child Development，77(3)，767-785。
25.	Schiffman, J.、Laski, E. V.(2018)。Materials count: Linear-spatial materials improve young children's addition strategies and accuracy, irregular arrays don't。Plos One，13(12)，1-19。
26.	Thomas, N.(2004)。The development of structure in the number system。International Group for the Psychology of Mathematics Education，4，305-312。
27.	Uttal, D. H.、O'Doherty, K.、Newland, R.、Hand, L. L.、DeLoache, J.(2009)。Dual Representation and the Linking of Concrete and Symbolic Representations。Child Development Perspectives，3(3)，156-159。
28.	Wong, T. T. Y.(2018)。The roles of place-value understanding and non-symbolic ratio processing system in symbolic rational number processing。British Journal of Educational Psychology，89(4)，635-652。

會議論文
1.	Ross, S. H.(1986)。The development of children's place-value numeration concepts in grades two through five。The annual meeting of the American Educational Research Association。San Francisco, CA。
2.	Cobb, P.(1987)。Children's Initial Understandings of Ten。The annual meeting of the American Educational Research Association。Anaheim, CA。
3.	Rogers, A.(2012)。Steps in developing a quality whole number place value assessment for years 3-6: Unmasking the "Experts"。The 35th annual conference of the Mathematics Education Research Group of Australasia。MERGA。648-655。

研究報告
1.	羅素貞(2005)。國小學童位值概念與多位數加減問題解題表現之研究 (計畫編號：NSC-94-2413-153-010)。臺北市：行政院國家科學委員會。延伸查詢

學位論文
1.	林晉如(2006)。屏東地區國小一年級學生位值概念之研究(碩士論文)。國立屏東教育大學。延伸查詢
2.	許舒淳(2013)。不同虛擬教具教學對提升國小低成就學童位值概念之成效研究(碩士論文)。國立新竹教育大學。延伸查詢
3.	Price, P. S.(2001)。The development of year 3 students' place-value understanding: Representations and concepts(博士論文)。Queensland University of Technology，Brisbane。

圖書
1.	Kamii, C.、Housman, L. B.(2000)。Young children reinvent arithmetic: Implications of Piaget's Theory。New York：Teachers College Press。
2.	Usiskin, Z.(1982)。Van Hiele levels and achievement in secondary school geometry。University of Chicago, Department of Education。
3.	吳明隆(2013)。SPSS統計應用學習實務：問卷分析與應用統計。易習圖書。延伸查詢

圖書論文
1.	Hiebert, J.、Carpenter, T. P.(1992)。Learning and teaching with understanding。Handbook of research on mathematics teaching and learning。New York：Macmillan。
2.	Miura, I. T.、Okamoto, Y.(2003)。Language supports for mathematics understanding and performance。The development of arithmetic concepts and skills: Constructing adaptive expertise。Mahwah, NJ：Lawrence Erlbaum Associates Publishers。

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2.	國小低年級學生在不同表徵物問題的位值概念研究
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