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題名:國小數學學習障礙學生計算錯誤類型分析之研究
書刊名:特殊教育學報
作者:周台傑陳麗玲
出版日期:1995
卷期:10
頁次:頁125-172
主題關鍵詞:國小數學學習障礙學生計算錯誤類型
原始連結:連回原系統網址new window
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     本研究的主要目的,在探討數學學習障礙學生和普通學生在數學計算錯誤類型差異情形。研究對象為中部地區三至六年級數學學習障礙學生與普通學生各223名。所得資料經統計分析如下: 一、 三至六年級數學學習障礙學生的出現率大致而言,隨著年級上升,學習障礙學生的出現率有率高的趨勢。 二、 三至六年級數學學習障礙學生計算錯誤高於普通學生。 三、 數學學習障礙學生在乘法計算時基本概念不清楚,無法將乘式與累加的式子相聯結。 四、 在除法計算中,商含有零的題目,數學學習障礙學生容易將商的零省略,導致計算錯誤。 五、 整數四則混合計算,普通學生與數學學習障礙學生對運算的順序感到困難。所犯的錯誤為按由左至右的方式計算,忽略計算的原則應為先乘除後加減。 六、 在小數的乘法計算,數學學習障礙學生較普通學生在計算小數位數上發生錯誤。 七、 普通組學生學習分數的乘法優於分數的加減;數學學習障礙學生則是分數的加法較優,分數的乘法與減法就差不多。數學學習障礙學生在異分母分數的加法答對率優於異分母分數的減法,而普通組學生異分母分數的減法答對的比率高於異分母分數的加法答對率。無論是分數的加法、減法和乘法的計算,數學學習障礙學生犯錯誤率高於普通學生。 八、 分數的減法中,數學學習障礙學生常犯的錯誤類型為忽略借位後,整數部分需要重組。在帶分數乘以整數的分數乘法中,數學學習障礙學生只做整數部分的相乘忽略分數部分。在帶分數乘以真分數乘法上,數學學習障礙學生常犯的錯誤類型為分子與分子相乘,分母與分母相乘,忽略整數部分。 九、 數學學習障礙學生較普通學生在分數和小數的四則混合計算中答對率低。而數學學習障礙學生常犯的錯誤為:運算符號的替代、分數乘法的錯誤和計算順序的錯誤。 十、 六年級在求某數的分數計算中,普通學生答對率高於數學學習障礙學生。數學學習障礙學生計算的錯誤是由於逆算錯誤所造成的。
     The purpose of this study was to investigate between mathematics learning-disabled students and normal students. The group testing were administered to 223 students who were sampled from 3th of 6th grades in central region of Taiwan. Statistical method was used to analyqe the collected data and results obtained show that: 1. In general, the percentage of mathematics learning-disabled students from 3th to 6th grades increased as the gender increased. 2. The number of computational errors of mathematics learning-disabled students from 3th to 6th grades are more than that of normal students. 3. The multiple concept of mathemcatics learning-disabled students not good, who can't relate with. 4. Mathematics learning-disabled students tend to omit the zero in the quotient during division facts which lead to computational errors. 5. Normal students and mathematics learning-disabled students feel difficult about algorithms procedure in computation process. 6. The number of errors in decimal place of mathematics students are more than that of normal students. 7. Normal student performance in multiplication of fractions in superior to that in addition and subtraction of fractions. Mathematics learning disabled students performance in addition of fraction is superior to that in multiplication and subtraction of fractions. The error percentage of mathematics learning disabled students in addition, subtraction and multiplication of fractions is higher than that of normal students. 8. The common error pattern of mathematics learning-disabled students in omits arrangement of the whole number after borrowing. 9. The percentage of correct answer of mathematics learning-disabled students in addition, subtraction, multiplication, and division of fraction and decimal is lower than that of normal students. Mathematics learning disabled students perform an operation other than the appropriate one. 10. The percentage of correct answer of normal students in fraction computation of unknown number is higher than that of mathematics learning disabled students. The computational error of mathematics learning disabled students is due to opposite computational error.
期刊論文
1.郭丁熒(1992)。追根究底談錯誤--有關學生錯誤的二十個問題。國教之友,44(2),17-23。  延伸查詢new window
2.Cox, L. S.(1975)。Systematic errors in the four vertical algorithms in normal and handicapped populations。Journal of Research in Mathematics Education,6,202-220。  new window
3.Baxter, P.、Dole, S.(1990)。Research supplement working with the brain, not against it: Correction of systematic errors in subtraction。British Journal of Special Education,17(1),19-22。  new window
4.Siegel, M. A.、Misselt, A. L.(1984)。Adaptive feedback and review paradigm for computer-based drills。Journal of Educational Psychology,76(2),310-317。  new window
5.林美和(1984)。學習缺陷兒童教育之我見。特殊教育會刊,7,20-25。  延伸查詢new window
6.Johnson, G.、Gersten, R.、Carnine, D.(1987)。Effects of instructional design variables on vocabulary acquistion of LD students: A study of computer-assisted instruction。Journal of Learning Disabilities,10,106-213。  new window
7.Chalfant, J. C.(1985)。Identifying learning disabled students: A summary of the national task force report。Learning Disabilities Focus,1(1),9-20。  new window
8.Camer, K.、Bezuk, N.(1991)。Multiplicationg of fractions: Teaching for understanding。Arithmetic Teacher,39(3),34-37。  new window
9.Borasi, R.(1987)。Exploring mathematics the analysis of errors。For the Learning of Mathematics,7(3),2-8。  new window
10.Carpenter, J. P.、Corbitt, M. K.、Kepner, H. S. Jr.、Lindquist, M. M.、Reys, R.(1980)。Results of the Second NAEP Mathematics Assessinent: secondary school。Mathematics Teacher,73,329-338。  new window
11.崔薏萍(1993)。讓數學不再那麼可怕。師友月刊,307,28-29。  延伸查詢new window
12.Barclay, T.(1982)。Buggy。Classroom Computer News,2,25-27。  new window
13.Bainbridge, R.(1981)。To err is human: Towards a more positive approach to children's mistakes in arithmetic。Mathematics in School,10(5),10-13。  new window
學位論文
1.林秀柔(1989)。國小數學學習障礙兒童鑑定方式之研究(碩士論文)。國立彰化師範大學。  延伸查詢new window
圖書
1.Ginsburg, H. P.(1989)。Children's arithmetic: How they learn it and how you teach it。Austin, TX:Pro-Ed。  new window
2.Ashlock, R. B.(1990)。Error patterns in computation: A semi-programmed approach。Columbus, Ohio:Merrill。  new window
3.張倍莉、邱紹春(1992)。臺灣地區特殊教育暨殘障福利機構簡介。臺北市:國立臺灣師範大學特殊教育中心。  延伸查詢new window
4.周台傑(1992)。特殊兒童診斷手冊。彰化:國立彰化師範大學特殊教育中心。  延伸查詢new window
5.Stephens, T. M.、Hartman, A. C.、Lucas, V. H.(1982)。Teaching children basic skills--A curriculum handbook。Columbus, OH:Merill。  new window
6.Mercer, C. D.(1987)。Students with learning disabilities。Columbus, OH:Merrill Publishing Company。  new window
7.Mercer, C. D.、Mercer, A. R.(1993)。Teaching students with learning problems。New York:Macmillan。  new window
8.何華國(1987)。特殊兒童心理與教育。五南圖書出版公司。  延伸查詢new window
9.Lerner, J. W.(1988)。Learning disabilities: Theories, diagnosis, and teaching strategies。Boston:Houghton Mifflin。  new window
10.毛連塭(1989)。學習障礙兒童的成長與教育。臺北:心理出版社。  延伸查詢new window
11.Sovchik, R. J.(1989)。Teaching mathematics to children。New York:Harper & Row。  new window
12.Troutman, A. P.、Lichtenberg, B. K.(1982)。Mathematics a good beginning: Strategies for teaching children。California:Brooks /Cole。  new window
13.Johnson, S. W.、Morasky, R. L.(1980)。Learning disabilities。Boston, Massachusetts:Allyn and Bacon。  new window
14.Marsh, G. E.、Price, B. J.、Smith, E. C.(1983)。Teaching mildly handicapped children: methods and materials-a generic approach to comprehensive teaching。St. Louis, Missouri:C. V. Mosby。  new window
15.Gearheart, B. R.(1986)。Learning disabilities: Educational strategies。Columbus, Ohio:Merrill。  new window
16.教育部(1979)。國民教育法規。台北市:教育部。  延伸查詢new window
17.教育部(1992)。語言障礙、身體病弱、生格異常、行為異常、學習障礙暨多重障礙學生鑑定標準及就學輔導原則要點。台北市:教育部。  延伸查詢new window
18.林清山(1992)。心理與教育統計學。東華書局。  延伸查詢new window
19.Hammill, D. D.、Myers, P. I.(1990)。Learning disabilities: Basic concepts, assessment practices, and instructional strategies。Austin, TX:PRO-ED。  new window
單篇論文
1.Kopp, K. H.,Vardever, T. R.(1979)。The efficacy of a computational mathematics monitoring system for the minimally handicapped child(ED171000)。  new window
2.Schench, S. J.,Pelcsi, P. A.(1979)。Math education for the learning disabled: An analysis of error patterns and techniques in remediation(ED171063)。  new window
3.Brown, J. S.,Burton, R. R.(1977)。Diagnositc models for procedural bugs in basic mathematics skills(ED159036)。  new window
4.Cebulski, L. A.(1984)。Children's errors in subtraction: An investigation into casuses and remediation(ED243684)。  new window
圖書論文
1.Badian, N. A.(1983)。Dyscalculia and nonverbal disorders of learning。Progress in learning disabilities。New York:Grune & Stratton。  new window
 
 
 
 
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