The effect of metacognitive strategy training on mathematical problem solving achievement

The purpose of this study was to investigate the effect of using metacognitive strategy training on mathematical problem solving achievement. The study took place over a nine-week period with 47 fifth grade students. The experimental group (n=24) instructed to improve their metacognitive skills. At the same time the students in the control group (n=23) received no additional activities and continued their normal lessons. Students were pre- and post-tested with the Mathematical Problem Solving Achievement Test and Turkish version of Metacognitive Skills and Knowledge Assessment (MSA-TR). The results indicated that students in the metacognitive treatment group significantly improved in both mathematical problem solving achievement and metacognitive skills.

[1]  H. Otani,et al.  Metacognition: New Issues and Approaches Guest Editors' Introduction , 2005 .

[2]  Z. Mevarech,et al.  Improve: A Multidimensional Method For Teaching Mathematics in Heterogeneous Classrooms , 1997 .

[3]  Arthur Whimbey,et al.  Problem solving and comprehension , 1982 .

[4]  R. Mayer.  Cognitive, metacognitive, and motivational aspects of problem solving , 1998 .

[5]  C. Hirsch.  Curriculum and Evaluation Standards for School Mathematics , 1988 .

[6]  A. Demetriou,et al.  The objective and subjective structure of problem- solving abilities: metacognitive awareness from early adolescence to middle age , 1990 .

[7]  T. O. Nelson.  Metamemory: A Theoretical Framework and New Findings , 1990 .

[8]  Semra Sungur,et al.  Contribution of motivational beliefs and metacognition to students' performance under consequential and nonconsequential test conditions , 2007 .

[9]  Not All Metacognition Is Created Equal , 2003 .

[10]  Enhancing Metacognitive Awareness of College Learners. , 1996 .

[11]  P. Lachenbruch.  Statistical Power Analysis for the Behavioral Sciences (2nd ed.) , 1989 .

[12]  Frank K. Lester,et al.  Musings about Mathematical Problem-Solving Research: 1970-1994. , 1994 .

[13]  Gregory Schraw.  Promoting general metacognitive awareness , 1998 .

[14]  L. Corno,et al.  A Factorial Experiment in Teachers' Written Feedback on Student Homework: Changing Teacher Behavior a Little Rather Than a Lot. , 1985 .

[15]  A. Schoenfeld.  Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint) , 2009 .

[16]  J. Flavell.  Metacognition and Cognitive Monitoring: A New Area of Cognitive-Developmental Inquiry. , 1979 .

[17]  J. W. Asher,et al.  Educational research and evaluation methods , 1976 .

[18]  M. Montague,et al.  The Effects of Cognitive and Metacognitive Strategy Instruction on the Mathematical Problem Solving of Middle School Students with Learning Disabilities , 1992, Journal of learning disabilities.

[19]  G. Özsoy.  Problem Çözme Becerisi İle Matematik Başarısı Arasındaki İlişki , 2005 .

[20]  Merrilyn Goos,et al.  A money problem: A source of insight into problem solving action , 2000 .

[21]  Alan H. Schoenfeld,et al.  Mathematical Problem Solving , 1985 .

[22]  J. W. MARSHALL,et al.  Elementary School Mathematics , 1902, Nature.

[23]  Patricia Goldberg,et al.  Using Metacognitive Skills to Improve 3rd Graders' Math Problem Solving , 2003 .

[24]  Jack A. Naglieri,et al.  Effectiveness of a Cognitive Strategy Intervention in Improving Arithmetic Computation Based on the PASS Theory , 2000, Journal of learning disabilities.

[25]  C. Heriza.  Perspectives on the Development of Memory and Cognition , 1979 .

[26]  M. Mazzocco,et al.  Development of the Metacognitive Skills of Prediction and Evaluation in Children With or Without Math Disability. , 2006, Learning disabilities research & practice : a publication of the Division for Learning Disabilities, Council for Exceptional Children.

[27]  J. Beishuizen,et al.  The relation between intellectual and metacognitive skills from a developmental perspective , 2004 .

[28]  Philip H. Winne,et al.  Experimenting to Bootstrap Self-Regulated Learning , 1997 .

[29]  J. Flavell,et al.  Cognitive development: children's knowledge about the mind. , 1999, Annual review of psychology.

[30]  S. K. Teong.  The effect of metacognitive training on mathematical word-problem solving , 2003, J. Comput. Assist. Learn..

[31]  Gregory Schraw.  The Effect of Generalized Metacognitive Knowledge on Test Performance and Confidence Judgments , 1996 .

[32]  H. Swanson.  Influence of Metacognitive Knowledge and Aptitude on Problem Solving. , 1990 .

[33]  John H. Flavell,et al.  The development of children's knowledge about the mind: From cognitive connections to mental representations. , 1988 .

[34]  D. Olson,et al.  Developing theories of mind , 1988 .

[35]  H. Roeyers,et al.  Off-Line Metacognition — A Domain-Specific Retardation in Young Children with Learning Disabilities? , 2002 .

[36]  Daniela Lucangeli,et al.  Mathematics and Metacognition: What is the Nature of the Relationship?. , 1997 .

[37]  D. Lucangeli.  Specific and General Transfer Effects Following Metamemory Training. , 1995 .

[38]  Douglas A. Grouws,et al.  Handbook of research on mathematics teaching and learning , 1992 .

[39]  A. Su,et al.  The National Council of Teachers of Mathematics , 1932, The Mathematical Gazette.

[40]  Bracha Kramarski,et al.  Effects of Multilevel Versus Unilevel Metacognitive Training on Mathematical Reasoning , 2001 .

[41]  D. Pugalee.  Writing, Mathematics, and Metacognition: Looking for Connections Through Students' Work in Mathematical Problem Solving , 2001 .

[42]  Gregory Schraw,et al.  Metacognitive theories , 1995 .

[43]  Jacob Cohen.  Statistical Power Analysis for the Behavioral Sciences , 1969, The SAGE Encyclopedia of Research Design.

[44]  Annette F. Gourgey.  Metacognition in basic skills instruction , 1998 .

[45]  Alice F. Artz,et al.  Development of a Cognitive-Metacognitive Framework for Protocol Analysis of Mathematical Problem Solving in Small Groups , 1992 .

[46]  M. Shanks,et al.  Elementary school mathematics , 1966 .

[47]  M. Brady,et al.  Initiating and Fading Self-Management Interventions to Increase Math Fluency in General Education Classes , 1998 .

[48]  A. Desoete.  Multi-method assessment of metacognitive skills in elementary school children: how you test is what you get , 2008 .

[49]  A Desoete,et al.  Metacognition and Mathematical Problem Solving in Grade 3 , 2001, Journal of learning disabilities.

[50]  Bernadet de Jager,et al.  The Development of Metacognition in Primary School Learning Environments , 2005 .

[51]  T. Scruggs.  Advances in Learning and Behavioral Disabilities , 1992 .