题名

國小學生多元解題學習策略運用能力簡要量表之發展與其學習輔導應用研究

并列篇名

The Development of Parsimony Multiple Learning Strategies Using Ability Scale in Word Problem Solving and Learning Guidance Applications for Primary School Students

作者

許家驊(Chia-Hua Hsu)

关键词

解題學習策略運用能力 ; 多元解題學習策略 ; 簡要量表 ; 學習輔導 ; learning strategies using ability for word problem solving(WPS) ; multiple learning strategies for WPS ; parsimony scale ; learning guidance

期刊名称

教育學誌

卷期/出版年月

43期(2020 / 05 / 01)

页次

1 - 66

内容语文

繁體中文

中文摘要

因應研究實務經驗、國小學生專注力有限、學習輔導需要,針對國小學生與解題領域發展題數精簡、不造成填答負擔、實施便利之精簡多元解題學習策略運用能力評估工具有其必要性。故本研究透過文獻整合歸納、專家審閱、試作預試編製簡要量表以實測評估前述能力,並作為學習輔導工具,提出對應學習輔導規劃。經對嘉義縣市國小學生施測量表後分兩群進行含信效度交叉驗證在內之各項分析,結果發現量表鑑別力、信效度良好,內含認知、後設認知、動機歸因三分層面,不同解題表現學生之解題認知、動機歸因策略運用能力具真正差異。再針對後27%解題表現低分組學生量表T分數分類後,依其表現剖面提出學習輔導重點及方案規劃。故簡要量表品質良好並具使用實效。

英文摘要

For the needs of research practice, primary school students' limited attention, learning guidance. It is necessary to develop the parsimony multiple learning strategies using ability scale (PMLSUAS) in word problem solving (WPS) for primary school student. So, this study developed PMLSUAS by literature and peer reviewing, pilot testing and try out as a learning guidance instrument to assess and analyze the using ability of learning strategies in WPS for primary school students. Then, according to the results, it can produce learning guidance program respectively. All subjects were composed of primary school students from Chiayi county and city of Taiwan, who were tested by PMLSUAS. The data were divided into two clusters for taking cross validation statistical analyses randomly. Regarding the item analysis, the critical ratio, item-sub and item-total correlations were strong, regardless of whether it was a single item, a sub-scale, or a whole. The validity analysis produced a number of factor structure matched the one factor dimensions (WPS learning strategies using ability) and three facets (cognitive, metacognitive, motivational-attributional learning strategies using). The KMO, variance proportions of factor extraction and the model fitness were positive. Three factor’s facets were correlated with each other. The reliability analysis produced a positive α coefficient and the composite reliability was positive in each facets and whole scale. The ability of cognitive and motivational-attributional learning strategies using were significantly different in WPS learning strategies for individuals with differing word problem solving performances. Next, classifying the T score of WPS learning strategies ability for low performance student (bottom 27%), and gaining cluster characteristics and learning guidance directions. Then, proposing the main points and projects of learning guidance based on that. Finally, based on the results were mentioned above, the parsimony multiple learning strategies using ability scale (PMLSUAS) was a qualified and practical effective instrument in learning strategies assessment.

主题分类 社會科學 > 教育學
参考文献
  1. 陳密桃,李新民,黃秀霜(2007)。台灣地區國民小學教師實用智能、情緒智能與專業表現之相關研究。教育心理學報,39(2),295-316。
    連結:
  2. Allsopp, D.,Lovin, L. H.,van Ingen, S.(2017).Supporting mathematical proficiency.Teaching Exceptional Children,49(4),273-283.
  3. Bal, A. P.(2015).Examination of the mathematical problem-solving beliefs and success levels of primary school teacher candidates through the variables of mathematical success and gender.Educational Sciences: Theory & Practice,15(5),1373-1390.
  4. Bandalos, D. L.,Finney, S. J.(2001).Item parceling issues in structural equation modeling.New developments and techniques in structural equation modeling,New Jersey:
  5. Belsley, D. A.,Kuth, E.,Welsch, R. E.(1980).Regression diagnostics: Identifying influential data and sources of collinearity.New York, NY:John Wiley.
  6. Bjuland, R.,Cestari, M. L.,Borgersen, H. E.(2008).The interplay between gesture and discourse as mediating devices in collaborative mathematical reasoning: A multimodal approach.Mathematical Thinking & Learning,10(3),271-292.
  7. Bottge, B. A.,Rueda, E.,Grant, T. S.,Stephens, A. C.,Laroque, P. T.(2010).Anchoring problem-solving and computation instruction in context-rich learning environments.Exceptional Children,76(4),417-437.
  8. Byrne, B. M.(2001).Structural equation modeling with Amos: basic concepts, applications and programming.New Jersey:Lawrence Erlbaum Associates.
  9. Caliskan, M.,Sunbul, A. M.(2011).The effects of learning strategies instruction on metacognitive knowledge, using metacognitive skills and academic achievement (primary education sixth grade turkish course sample).Educational Sciences: Theory & Practice,11(1),148-153.
  10. Cano, F.,Berbén, A. B. G.(2009).University students' achievement goals and approaches to learning in mathematics.British Journal of Educational Psychology,79(1),131-153.
  11. Cleary, T. J.,Kitsantas, A.(2017).Motivation and self-regulated learning influences on middle school mathematics achievement.School Psychology Review,46(1),88-107.
  12. Cohen, J.(1988).Statistical power analysis for the behavioral sciences.Hillsdale, New Jersey:Lawrence Erlbaum Associates.
  13. Crocker, L.,Aligina, J.(1986).Introduction to classical and modern test theory.Orlando, FL:Holt, Rinehart and Winston, Inc..
  14. Desoete, A.,Roeyers, H.(2005).Cognitive skills in mathematical problem solving in grade 3.British Journal of Educational Psychology,75,119-138.
  15. Dewolf, T.,Van Dooren, W.,Ev Cimen, E.,Verschaffel, L.(2014).The Impact of Illustrations and Warnings on Solving Mathematical Word Problems Realistically.The Journal of Experimental Education,82(1),103-120.
  16. Diseth, A.,Kobbeltvedt, T.(2010).A mediation analysis of achievement motives, goals, learning strategies, and academic achievement.British Journal of Educational Psychology,80(4),671-687.
  17. Dujardin, Y.,Chadès, I.(2018).Solving multi-objective optimization problems in conservation with the reference point method.PLOS ONE,13(1),e0190748.
  18. Fennell, F. M.,Speer, W. R.(2013).Defining mathematics education: presidential yearbook selections 1926-2012: seventy-fifth yearbook.Reston, VA:National Council of Teachers of Mathematics.
  19. Fuchs, L. S.,Fuchs, D.(2005).Enhancing mathematical problem solving for students with disabilities.The Journal of Special Education,39(1),45-57.
  20. Fuchs, L. S.,Fuchs, D.,Hamlett, C. L.,Hope, S. K.,Hollenbeck, K. N.,Capizzi, A. M.,Craddock, C. F.,Brothers, R. L.(2006).Extending resposiveness-to-intervention to math problem-solving at third grade.Teaching Exceptional Children,38(4),59-63.
  21. Fuchs, L. S.,Fuchs, D.,Prentice, K.(2004).Responsiveness to mathematical problem-solving instruction: Comparing students at risk of mathematics disability with and without risk of reading disability.Journal of Learning Disabilities,37(4),293-306.
  22. Fuchs, L. S.,Fuchs, D.,Prentice, K.,Burch, M.,Hamlett, C. L.,Owen, R.,Schroeter, K.(2003).Enhancing Third-Grade Students' Mathematical Problem Solving With Self-Regulated Learning Strategies.Journal of Educational Psychology,95(2),306-316.
  23. Fuchs, L. S.,Fuchs, D.,Prentice, K.,Burch, M.,Paulsen, K.(2002).Hot math: Promoting mathematical problem solving among third-grade students with disabilities.Teaching Exceptional Children,33(1),70-73.
  24. Ganor-Stern, D.(2016).Solving math problems approximately: A developmental perspective.PLoS ONE,11(5),1-16.
  25. Grouws, D. A.(Ed.)(1992).Handbook of research on mathematics teaching and learning: A project of the national council of teachers of mathematics.New York:Macmillan.
  26. Hair, J. F.,Black, W. C.,Babin, B. J.,Anderson, R. E.(2019).Multivariate data analysis.Boston, MA:Cengage.
  27. Holschuh, J. P.,Nist, S. L.,Olejnik, S.(2001).Attributions to failure: The effect of effort, ability, and learning strategy use on perceptions of future goals and emotional responses.Reading Psychology,22,153-173.
  28. Jitendra, A. K.,Sczesniak, E.,Griffin, C. C.,Deatline-Buchman, A.(2007).Mathematical word problem solving in third-grade classrooms.Journal of Educational Research,100(5),283-302.
  29. Jitendra, A.,DiPipi, C. M.,Perron-Jones, N.(2002).An exploratory study of schema-based word-problem-solving instruction for middle school students with learning disabilities: An emphasis on conceptual and procedural understanding.Journal of Special Education,36(1),23-38.
  30. Kaiser, H. F.(1974).An index of factorial simplicity.Psychometrika,39,31-36.
  31. Kaiser, H. F.(1960).The application of electronic computers to factor analysis.Psychometrika Educational and Psychological Measurement,20,141-151.
  32. Kang, Y.-N.,Chang, C.-H.,Kao, C.-C.,Chen, C.-Y.,Wu, C.-C.(2019).Development of a short and universal learning self-efficacy scale for clinical skills.PLoS ONE,14(1),1-11.
  33. Lai, Y.,Zhu, X. H.,Chen, Y. H.,Li, Y. J.(2015).Effects of mathematics anxiety and mathematical metacognition on word problem solving in children with and without mathematical learning difficulties.Plos One,10(6),1-19.
  34. Lester, F. K.(Ed.)(2007).Second Handbook of research on mathematics teaching and learning: A project of the national council of teachers of mathematics.Charlotte, NC:Information Age.
  35. Lester, F. K.,Garofalo, J.,Kroll, D. L.(1989).,Bloomington:Indiana University, School of Education, Mathematics Education Development Center.
  36. Lewis, A. B.(1989).Training students to represent arithmetic word problems.Journal of Educational Psychology,81(4),521-531.
  37. Linn, R. L.(Ed.)(1993).Educational Measurement.Phoenix, Indiana:Oryx Press.
  38. Marita, S.,Hord, C.(2017).Review of mathematics interventions for secondary students with learning disabilities.Learning Disability Quarterly,40(1),29-40.
  39. Marsh, L. G.,Cooke, N. L.(1996).The effects of using manipulatives in teaching math problem solving to students with learning disabilities.Learning Disabilities Research & Practice,11,58-65.
  40. Marshall, S. P.,Pribe, C. A.,Smith, J. D.(1987).,Arlington, VA:Office of Naval Research.
  41. Mevarech, Z. R.,Kramarski, B.(2003).The effects of metacognitive training versus worked-out examples on students' mathematical reasoning.British Journal of Educational Psychology,73(4),449-471.
  42. Montague, M.(2008).Self-regulation strategies to improve mahtematical problem solving for students with learning disabilities.Learning Disability Quarterly,31(1),37-44.
  43. Montague, M.(2007).Self-regulation and mathematics instruction.Learning Disabilities Research & Practice,22(1),75-83.
  44. Montague, M.,Dietz, S.(2009).Evaluating the evidence base for cognitive strategy instruction and mathematical problem solving.Exceptional Children,75(3),285-302.
  45. Montague, M.,Warger, C.,Morgan, T. H.(2000).Solve it! strategy instruction to improve mathematical problem solving.Learning Disabilities Research and Practice,15(2),110-116.
  46. Morin, L. L.,Watson, S. M. R.,Hester, P.,Raver, S.(2017).The use of a bar model drawing to teach word problem solving to students with mathematics difficulties.Learning Disability Quarterly,40(2),91-104.
  47. Mulhern, G.(Ed.),Greer, B.(Ed.)(1989).New directions in the mathematics education.New York, NY:Routledge.
  48. Owen, R. L.,Fuchs, L. S.(2002).Mathematical problem-solving strategy instruction for third-grade students with learning disabilities.Remedial & Special Education,23(5),268-278.
  49. Özcan, Z. Ç.(2016).The relationship between mathematical problem-solving skills and self-regulated learning through homework behaviours, motivation, and metacognition.International Journal of Mathematical Education in Science and Technology,47(3),408-420.
  50. Peltier, C.,Vannest, K. J.(2018).The effects of schema-based instruction on the mathematical problem solving of students with emotional and behavioral disorders.Behavioral Disorders,43(2),277-289.
  51. Peltier, C.,Vannest, K. J.(2016).Utilizing the STAR Strategy to Improve the Mathematical Problem-Solving Abilities of Students with Emotional and Behavioral Disorders.Beyond Behavior,25(1),9-15.
  52. Peltier, C.,Vannest, K. J.(2016).Schema-based strategy instruction and the mathematical problem-solving performance of two students with emotional or behavioral disorders.Education & Treatment of Children,39(4),521-543.
  53. Poch, A. L.,Van Garderen, D.,Scheuermann, A. M.(2015).Students’ understanding of diagrams for solving word problems: A framework for assessing diagram proficiency.Teaching Exceptional Children,47(3),153-162.
  54. Powell, S. R.(2011).Solving word problems using schemas: A review of the literature.Learning Disabilities Research & Practice,26(2),94-108.
  55. Pressley, M.(Ed.),Burkell, J.(Ed.),Cariglia-Bull, T.(Ed.),Lysynchuk, L.(Ed.),McGoldrick, J. A.(Ed.),Schneider, B.(Ed.),Synder, B. L.(Ed.),Symons, S.(Ed.),Woloshyn, V. E.(Ed.)(1990).Cognitive strategy instruction: That really improves children’s academic performance.Cambridge, MA:Brookline Books.
  56. Rothbart, M. K.,Posner, M. I.(2005).Genes and experience in the development of executive attention and effortful control.New Directions for Child & Adolescent Development,109,101-108.
  57. Rueda, M. R,Posner, M. I.,Rothbart, M K.(2005).The Development of executive attention: Contributions to the emergence of self-regulation.Developmental Neuropsychology,28(2),573-594.
  58. Schurter, W. A.(2002).Comprehension monitoring: An aid to mathematical problem solving.Journal of Developmental Education,26(2),22-33.
  59. Soric, I.,Palekcic, M.(2009).The role of students' interests in self-regulated learning: The relationship between students' interests, learning strategies and causal attributions.European Journal of Psychology of Education,24(4),545-565.
  60. Stylianou, D. A.,Silver, E. A.(2004).The role of visual representations in advanced mathematical problem solving: An examination of expert-novice similarities and differences.Mathematical Thinking & Learning,6(4),353-387.
  61. Swanson, H. L.,Orosco, M. J.,Lussier, C. M.(2014).The effects of mathematics strategy instruction for children with serious problem-solving difficulties.Exceptional Children,80(2),149-168.
  62. Tajika, H.,Nakatsu, N.,Nozaki, H.,Neumann, E.,Maruno, S.(2007).Effects of self-explanation as a metacognitive strategy for solving mathematical word problems.Japanese Psychological Research,49(3),222-233.
  63. Torbeyns, J.,De Smedt, B.,Ghesquière, P.,Verschaffel, L.(2009).Acquisition and use of shortcut strategies by traditionally schooled children.Educational Studies in Mathematics,71(1),1-17.
  64. Valle, A.,Cabanach, R. G.,Nunez, J. C.,Gonzalez-Pienda, J.,Rodriguez, S.,Pineiro, I.(2003).Cognitive, Motivational, and Volitional dimensions of learning: An empirical test of a hypothetical model.Research in Higher Education,44(5),557-580.
  65. Van Garderen, D.(2007).Teaching students with LD to use diagrams to solve mathematical word problems.Journal of Learning Disabilities,40(6),540-553.
  66. Willis, G. B.,Fuson, K. C.(1988).Teaching children to use schematic drawings to solving addition and substraction word problems.Journal of Education Psychology,80(2),192-201.
  67. Zheng, X.,Flynn, L. J.,Swanson, H. L.(2013).Experimental intervention studies on word problem solving and math disabilities: A selective analysis of the literature.Learning Disability Quarterly,36(2),97-111.
  68. 王保進(2004).多變量分析─套裝程式與資料分析.臺北:五南.
  69. 何英奇,毛國楠,張景媛,周文欽(2005).學習輔導.臺北:心理.
  70. 余民寧(2006).潛在變項模式:SIMPLIS 的應用.臺北:高等教育.
  71. 吳明隆(2008).結構方程模式 AMOS 的操作與應用.臺北:五南.
  72. 吳昭容(1990)。圖示對國小學童解數學應用題之影響。未出版獨立研究,國立臺灣大學心理學研究所,臺北市。
  73. 李茂能(2006).結構方程模式軟體 Amos 之簡介及其在測驗編製上之應用.
  74. 李源順(編)(2018).國小數學課本.臺南:南一.
  75. 李源順(編)(2018).國小數學課本.臺南:南一.
  76. 李源順(編)(2018).國小數學課本.臺南:南一.
  77. 李源順(編)(2018).國小數學課本.臺南:南一.
  78. 李咏吟(2001).學習輔導:學習心理學的應用.臺北:心理.
  79. 林長壽(編)(2018).國小數學課本.臺南:翰林.
  80. 林長壽(編)(2018).國小數學課本.臺南:翰林.
  81. 林長壽(編)(2018).國小數學課本.臺南:翰林.
  82. 林長壽(編)(2018).國小數學課本.臺南:翰林.
  83. 林清山(1991).多變項分析統計法.臺北:東華.
  84. 邱皓政(2001).社會與行為科學的量化研究與統計分析:SPSS 中文視窗版資料分析範例解析.臺北:五南.
  85. 邱皓政(2003).結構方程模式:LISREL 的理論、技術與應用.臺北:雙葉.
  86. 教育部(2014b)。學生輔導法。臺北:教育部。
  87. 教育部(2008)。國民中小學九年一貫課程綱要數學學習領域 97 年數學課程綱要修訂。臺北:教育部。
  88. 教育部(2014a)。十二年國民基本教育課程綱要總綱。臺北:教育部。
  89. 陳正昌,程炳林,陳新豐,劉子鍵(2012).多變量分析方法-統計軟體應用.臺北:五南.
  90. 楊瑞智(編)(2018).國小數學課本.臺北:康軒.
  91. 楊瑞智(編)(2018).國小數學課本.臺北:康軒.
  92. 楊瑞智(編)(2018).國小數學課本.臺北:康軒.
  93. 楊瑞智(編)(2018).國小數學課本.臺北:康軒.
  94. 臺灣心理學會教育心理學組(2005).我可以學得更好:學習輔導與診斷手冊.臺北:心理.
  95. 蔡清田(2016)。「領域/科目核心素養」的課程設計。臺灣教育評論月刊,5(5),142-147。
  96. 蘇素美,吳裕益(2008)。羞量表之修訂及其效度研究。教育與心理研究,31(4),53-82。