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This study aims to establish the extent to which metacognitive training plays a part in Singapore\ud primary students' word problem solving in a computer environment. The study involved 142 Singapore 11 to 12-year-old students from two primary schools.\ud \ud The study adopts a two-phase design, combining a quasi-experimental design and a case study design. For the quasi-experimental design, analysis of students' mathematical achievement test data is used to investigate the relationship between metacognitive training, students' level of mathematical achievement and their mathematical word problem solving performance. For the case study design, analysis of the think aloud protocol data during word problem solving of eight pairs of students is used to explore the role of metacognition in mathematical word problem solving in a computer environment. In addition, student questionnaire and teacher interview data\ud provide descriptive accounts of students' metacognitive knowledge during mathematical word problem solving.\ud \ud The findings from the analysis of mathematical achievement test and think aloud protocol data reveal that metacognitive training results in improvement in mathematical word problem solving performance, and that lower achievers appear to show the full benefit from metacognitive training only after a period of time. The findings of the think aloud protocol data also reveal that i)generating metacognitive behaviours, and knowing when and how to use them during word problem solving are important determinants for successful word problem solving, and ii) students have distinctive progressions of word problem solving activity which can be represented by five\ud types of cognitive-metacognitive word problem solving models. These progressions of word problem solving activity seem to relate to students' success in word problem solving. It is also proposed that there is a relationship between affect, students' ability to develop metacognitive\ud awareness, and word problem solving. In addition, effective pair collaboration is influenced by students' mathematical beliefs, and how students are paired according to their metacognitive knowledge.\ud \ud The educational and pedagogical implications of these findings are discussed, particularly in relation to the Singaporean context

Publisher: School of Education (Leeds)

Year: 2000

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- (1997). 25 Years of Educational Reform. Education in Singapore.
- (1991). A
- (1997). A Cognitive-Apprenticeship-based Environment for Learning Word Problem Solving. Unpublished article,
- (1997). A Critical Review of the Revised Mathematics (Pri) Curriculum in Singapore Schools (unpublished MEd Essay,
- (1998). An experimental study on the effectiveness f metacognitive and heuristic problem solving techniques on computational performance of students in mathematics.
- (1975). An interview study of children's knowledge about memory.
- (2000). An Introduction to Statistics in Psychology. A Complete Guide for Students (second edition) Essex:
- (1978). Analysis of Covariance. Beverly Hills:
- (1976). Analysis of Variance. (Editor: Uslaner, E) Beverly Hills:
- (1998). Applying Mathematics with Real World Connections: Metacognitive Characteristics of Secondary Students.
- (1996). Asking Questions. Data Collection and Analysis (Editors: Sapsford, R & Jupp,
- (1983). Becoming a strategic reader.
- (1987). Children learning mathematics: A study on construction and reflection in elementaly school children. The Netherlands.
- (1991). Children talking in computer environment: New insights into the role of discussion in mathematics learning.
- (1998). Cognition as a collaborative process.
- (1988). Cognition in practice. Cambridge:
- (1990). Cognitive and metacognitive characteristics of eighth grade students' mathematical problem solving.
- (1989). Cognitive apprenticeship: Teaching the craft of reading, writing and mathematics. Knowing learning and instruction: Essays in honor of Robert Glaser (Editor: Resnick, L) Hillsdale: Lawrence Erlbaum Associates,
- (1981). Cognitive monitoring. Children's oral communication skills (Editor:
- (1985). Cognitive Self-Regulatory Training for Underachieving Children. Metacognition, Cognition and Human Performance.
- (1990). Cognitive strategy instruction that really improves children's academic performance.
- (1997). Cognitive-metacognitive training within a problem solving based Logo environment.
- (1998). Cognitive, Metacognitive, and Motivational Aspects of Problem Solving.
- (1992). Comparison of self-questioning, summarising and notetaking-review as strategies for learning from lectures.
- (1995). Comprehension of arithmetic word problems: A comparison of successful and unsuccessful problem solvers.
- (1993). Computer Use and Views of the Mind. Learning from
- (1995). Computers and the Collaborative Experience of Learning (second edition)
- (1996). Conceptual links between Cognitive Acceleration through Science Education and Motivational Style: a critique of Adey and Shayer.
- (1998). Curriculum Planning & Development Division
- (1996). Data and Data Analysis. Handbook of Educational Psychology.
- (1998). Data Management and Analysis Methods. Collecting and Interpreting Qualitative Materials (Editors: Denzin,
- (1989). Developing Understanding in Mathematics via problem solving. New Directions for Elementary School Mathematics. Reston: National Council of Teachers of Mathematics,
- (1992). Development of a cognitive-metacognitive framework for protocol analysis of mathematical problem solving in small groups.
- (1988). Dimensions of Thinking: A Framework for Curriculum and Instruction.
- (2000). Doing Qualitative Research. A Practical Handbook.
- (1995). Effects of Metacognitive Instruction on Low Achievers
- (1998). Effects of metacognitive instruction on mathematics achievement and attitude towards mathematics of low mathematics achievers.
- (1999). Effects of Metacognitive Training Embedded
- (1991). Effects of Strategy Monitoring and Proactive Instruction on Children's Problem Solving Performance.
- (1992). Effects of teaching metacognitive skills to students with low mathematics ability.
- (1991). Effects of Training in Strategic Questioning on Children's Problem Solving Performance.
- (1983). Episodes and Executive Decisions' in Mathematical Problem Solving. Acquisition of mathematics concepts and processes (Editors: Lesh,
- (1997). Experimental Design and The Analysis of Variance.
- (1994). Guiding Knowledge Construction in the Classroom: Effects of Teaching Children How to Question and How to Explain.
- (1988). Hatching a theory of incubation effects.
- (1973). How to solve it: a new aspect of mathematical method.
- (1993). Interpreting Qualitative Data. Methods for Analysing Talk, Text and Interaction.
- (1994). Introduction to this special issue: Mathematical learning in computer microworlds.
- (1999). Introduction: What Do You Mean by "Collaborative Learning"? Collaborative Learning. Cognitive and Computational Approaches (Editor: Dillenbourg, P) Amsterdam: Pergamon,
- (1982). Knowledge organisation and mathematical problem solving. Mathematical Problem Solving:
- (1992). Learning and Teaching with understanding. Handbook of research on mathematics teaching and learning (Editor: Grouws,
- (1998). Learning to Think. Thinking to Learn. Towards thinking schools, learning nation. Singapore Mok,
- (1996). Library Reference,
- (1997). Mathematical problem solving: A focus on metacognition.
- (1985). Mathematical Problem Solving.
- (1995). Mathematics Education. Models and Processes.
- (1996). Mathematics teaching and learning.
- (1987). Metacognition and school mathematics.
- (1996). Metacognition during mathematical problem solving.
- (1998). Metacognition in basic skills instruction.
- (1997). Metacognition in mathematical problem solving.
- (1998). Metacognition in Mathematics from a Constructivist Perspective. Metacognition in Educational Theory and Practice (Editors: Hacker,
- (1998). Metacognition, abilities, and developing expertise: What makes an expert student?.
- (1985). Metacognition, Cognitive Monitoring and Mathematical Performance.
- (1990). Metacomponential Development in a Logo Programming Environment.
- (1982). Modeling students' modeling behaviours.
- (1996). Motivating Others: Nurturing Inner Motivational Resources. Allyn and Bacon.
- (1999). Motivational vulnerability as a challenge for educational interventions.
- (1994). Musing about mathematical problem solving research: 1970-1994.
- (1997). On Writing Qualitative Research. Living by Words.
- (1991). Peer discussion in the context of mathematical problem solving. Language in Mathematical Education.
- (1996). Problem Solving in Regular Classroom: The Use of Pattern Observation.
- (1996). Problem Solving Transfer.
- (1995). Problem solving. Thinking (Editors: Smith,
- (1996). Protocol analysis: practical implementation.
- (1993). Protocol Analysis. Verbal Reports as Data.
- (1998). Qualitative Inquiry and Research Design. Choosing Among Five Traditions. Thousand Oaks:
- (1979). Quasi-Experimentation. Design & Analysis Issues for Field Settings.
- (2000). Reading 1. Thinking, Metacognition, Critical Thinking.
- (1993). Real World Research. A Resource for Social Scientists and Practitioner-Researchers.
- (1979). Realising that you don't understand: Elementary school students' awareness of inconsistencies.
- (1989). Reasoning as it is and could be: An empirical perspective. Thinking across cultures:
- (1995). reprint) Mathematics Syllabus. Primary One to Primary Four.
- (1979). Schema for reading and reading comprehension performance (Tech Rep No 120) Centre for the Study of Reading.
- (1998). Smart Problem Solving: How Metacognition Helps. Metacognition in Educational Theory and Practice (Editors: Hacker,
- (1990). Social origins of self-regulation. Vygotsky and Education. Instructional Implications and Applications of Sociohistorical Psychology (Editor: Moll, L) Cambridge:
- (1998). Socioemotional aspects of students' learning in a cognitiveapprenticeship environment.
- (1982). Some thoughts on problem solving research and mathematics education. Mathematical Problem Solving:
- (1999). SPSS 9.0 Guide to Data Analysis.
- (1989). Strategic uses of peer learning in children's education. Peer relationships in child development (Editors: Berndt,
- (1985). Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives. Hillsdale: Lawrence Erlbaum Associates.
- (1995). Teaching of problem sums. (unpublished article,
- (1976). Tests of Significance (Editor: Uslaner,
- (1995). The Art of Case Study Research. Thousand Oaks:
- (1988). The Computer as a Tool for Learning Through Reflection. Learning Issues for Intelligent Tutoring Systems (Editors: Mandl,
- (1996). The effects of a problem-solving based Logo environment on children's information processing components.
- (1995). The Impact of Learning Journals on Metacognitive and Cognitive Processes and Learning Performance.
- (1976). The Metacognitive aspects of problem solving. The Nature of Intelligence (Editor: Resnick, L) Hillsdale: Lawrence Erlbaum Associates,
- (1976). The psychology of mathematical abilities in school children.
- (1989). The role of metacognition in mathematical problem solving: A study of two grade seven classes. Final report to the National Science Foundation of NSF project
- (1985). The Teaching of Thinking. Hillsdale: Lawrence Erlbaum Associates.
- (1998). The Thinking Programme.
- (1990). The voice of rationality in a sociocultural approach to mind. Vygotsky and Education. Instructional Implications and Applications of Sociohistorical Psychology (Editor: Moll, L) Cambridge:
- (1993). The word processor as an instructional tool: a metaanalysis of word processing in writing instruction.
- (1999). Thinking Processes of Adolescents in Classrooms. Growing Up in Singapore.
- (1999). Top Marks.
- (1983). Trends and issues in mathematical problem solving research. Acquisition of mathematics concepts and processes (Editors: Lesh,
- (1999). Using Qualitative Methods in Organisational Research. Thousand Oaks:
- (1995). Verbal Protocol Analysis.
- (1988). Verbal Report Data on Cognitive and Metacognitive Strategies. Learning and Study Strategies: Issues in Assessment, Instruction and Evaluation
- (1997). Vision for a Total Learning Environment: Thinking Schools, Learning Nation.211 Tilley, A
- (1985). Vygotsky: a historical and conceptual perspective. Culture, Communication and Cognition: Vygotskian Perspectives (Editor: Wertsch, J) Cambridge:
- (1990). What is the overall goal in teaching?
- (1987). What's the fuss about metacognition?. Cognitive Science and mathematics education (Editor: Schoenfeld, A) Hillsdale: Lawrence Erlbaum Associates,
- (1997). Word Problems: A Vehicle for Promoting Authentic Mathematical Understanding and Problem Solving in the Primary School? Learning and Teaching Mathematics. An International Perspective (Editors: Nunes,
- (1999). Word Problems. Research and Curriculum Reform. Mahwah: Lawrence Erlbaum Associates.
- (1999). Your Statistical Consultant. Answers to your data analysis questions. Thousand Oaks:

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