An ICT environment to assess and support students' mathematical problem-solving performance in non-routine puzzle-like word

This paper reports on a small-scale study on primary school students’ problem-solving performance. In the study, problem solving is understood as solving non-routine puzzlelike word problems. The problems require dealing simultaneously with multiple, interrelated variables. The study employed an ICT environment both as a tool to support students’ learning by offering them opportunities to produce solutions, experiment and reflect on solutions, and as a tool to monitor and assess the students’ problem solving processes. In the study, 24 fourth-graders were involved from two schools in the Netherlands. Half of the students who belonged to the experimental group worked in pairs in the ICT environment. The analysis of the students’ dialogues and actions provided us with a detailed picture of students’ problem solving and revealed some interesting processes, for example, the bouncing effect that means that the students first come with a correct solution and later give again an incorrect solution. The test data collected before and after this “treatment” did not offer us a sufficient basis to draw conclusions about the power of ICT environment to improve the students’ problem-solving performance.

[1]  Uri Leron,et al.  Just give me a computer and i will move the earth: Programming as a catalyst of a cultural revolution in the mathematics classroom , 1996, Int. J. Comput. Math. Learn..

[2]  Wynne Harlen,et al.  A systematic review of the impact on students and teachers of the use of ICT for the assessment of critical and creative thinking skills (EPPI-Centre Review) , 2003 .

[3]  Jeremy Kilpatrick,et al.  International handbook of mathematics education , 1997 .

[4]  B. A. van Amerom,et al.  Reinvention of early algebra : developmental research on the transition from arithmetic to algebra = Heruitvinden van aanvankelijke algebra : ontwikkelingsonderzoek roud de overgang van rekenen naar algebra , 2002 .

[5]  최영한,et al.  미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론 , 2002 .

[6]  Rupert Wegerif,et al.  Thinking and Learning with ICT: Raising Achievement in Primary Classrooms , 2004 .

[7]  Matt Homer,et al.  Implicit aspects of paper and pencil mathematics assessment that come to light through the use of the computer , 2007 .

[8]  Larry Ambrose,et al.  The power of feedback. , 2002, Healthcare executive.

[9]  Douglas H. Clements,et al.  Research on Logo: Effects and Efficacy. , 1993 .

[10]  George W. Bright,et al.  Classroom Assessment in Mathematics: Views from a National Science Foundation Working Conference (Greensboro, North Carolina, May 16-18, 1997). , 1998 .

[11]  Seymour Papert,et al.  Mindstorms: Children, Computers, and Powerful Ideas , 1981 .

[12]  Paul R. Halmos,et al.  The Heart of Mathematics. , 1980 .

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

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

[15]  N. Mercer,et al.  Dialogue and the Development of Children's Thinking: A Sociocultural Approach , 2007 .

[16]  J. Reid Computer-assisted instruction. , 1993, Missouri medicine.

[17]  Paul Black,et al.  A Systematic Review of the Impact on Students and Teachers of the Use of ICT for Assessment of Creative and Critical Thinking Skills , 2003 .

[18]  Douglas H. Clements,et al.  From exercises and tasks to problems and projects , 2000 .

[19]  Mary Grace Kantowski PROCESSES INVOLVED IN MATHEMATICAL PROBLEM SOLVING , 1977 .

[20]  Richard Lesh,et al.  From Problem Solving to Modeling: The Evolution of Thinking About Research on Complex Mathematical Activity , 2003 .

[21]  D. Clements Computers in Early Childhood Mathematics , 2002 .

[22]  Celia Hoyles,et al.  What can digital technologies take from and bring to research in mathematics education , 2003 .

[23]  R. Glaser,et al.  Knowing What Students Know: The Science and Design of Educational Assessment , 2001 .

[24]  Douglas N. Gordin,et al.  Changing how and what children learn in school with computer-based technologies. , 2000, The Future of children.