Online game-generated feedback as a way to support early algebraic reasoning

International Journal of Continuing Engineering Education and Life-Long Learning

Volumn 20, Issue 2, 2010, Pages 224-238

  Kolovou, Angeliki ^a   Van Den Heuvel Panhuizen, Marja ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Early algebra; Feedback; Online game

Indexed keywords

ALGEBRA; FEEDBACK; SOCIAL NETWORKING (ONLINE); SOFTWARE TESTING;

ALGEBRAIC REASONING; COMPUTER ACTIVITIES; NO FEEDBACKS; ON-LINE GAMES; PRIMARY SCHOOLS; PROBLEM SOLVING PROCESS;

STUDENTS;

EID: 78149445279     PISSN: 15604624     EISSN: None     Source Type: Journal    
DOI: 10.1504/IJCEELL.2010.036817     Document Type: Article

References (25)

1. Booth, L. (1984) Algebra: Children's Strategies and Errors, NFER-Nelson, Windsor.
2. Bottino, R.M., Ferlino, L., Ott, M. and Tavella, M. (2007) 'Developing strategic and reasoning abilities with computer games at primary school level', Computers & Education, Vol. 49, No. 4, pp.1272-1286.
3. Bransford, J.D., Brown, A.L. and Cocking, R. (2000) How People Learn, National Academy Press, Washington.
4. Butler, D.L. and Winne, P.H. (1995) 'Feedback and self-regulated learning: a theoretical synthesis', Review of Educational Research, Vol. 65, No. 3, pp.245-274.
5. Carraher, D.W. and Schliemann, A.D. (2007) 'Early algebra and algebraic reasoning', in Lester, F. (Ed.): Second Handbook of Research on Mathematics Teaching and Learning, Vol. 2, pp.669-705, Information Age Publishing, Charlotte.
6. Clements, D. (2000) 'From exercises and tasks to problems and projects: unique contributions of computers to innovative mathematics education', Journal of Mathematical Behavior, Vol. 19, pp.9-47.
7. Figueira-Sampaio, A.S., dos Santos, E.E.F. and Carrijo G.A.C. (2009) 'A constructivist computational tool to assist in learning primary school mathematical equations', Computers & Education, Vol. 53, pp.484-492.
8. Hattie, J. and Timperley, H. (2007) 'The power of feedback', Review of Educational Research, Vol. 77, No. 1, pp.81-112.
9. Herscovics, N. and Linchevski, L. (1994) 'A cognitive gap between arithmetic and algebra', Educational Studies in Mathematics, Vol. 27, No.1, pp.59-78.
10. Kaput, J. (2007) 'What is algebra? What is algebraic reasoning?', in Kaput, J., Carraher, D. and Blanton, M. (Eds.): Algebra in the Early Grades, pp.5-18, Lawrence Erlbaum, New York.
11. Katz, V.J. (Ed.) (2007) Algebra: Gateway to a Technological Future, Mathematical Association of America, Washington.
12. Kluger, A.N. and DeNisi, A. (1996) 'The effects of feedback on performance: a historical review, a meta-analysis, and a preliminary feedback intervention', Psychological Bulletin, Vol. 119, pp.254-84.
13. Kolovou, A., Van den Heuvel-Panhuizen, M. and Bakker, A. (2009) 'Non-routine problem solving tasks in primary school mathematics textbooks-A needle in a haystack', Mediterranean Journal for Research in Mathematics Education, Vol. 8, No. 2, pp.31-67.
14. Lach, T., and Sakshaug, L. (2004) 'The role of playing games in developing algebraic reasoning, spatial sense and problem solving', Focus on Learning Problems in Mathematics, Vol. 26, No. 1, pp.34-42.
15. Lee, C.Y. and Chen, M.P. (2009) 'A computer game as a context for non-routine mathematical problem solving: the effects of type of question prompt and level of prior knowledge', Computers & Education, Vol. 52, No. 3, pp.530-542.
16. Lee, H.S. and Hollebrands, K.F. (2006) 'Students' use of technological features while solving a mathematics problem', Journal of Mathematical Behavior, Vol. 25, pp.252-266.
17. Malisani, E. and Spagnolo, F. (2009) 'From arithmetical thought to algebraic thought: the role of the 'variable'', Educational Studies of Mathematics, Vol. 71, No. 1, pp.19-41.
18. Nathan, M.J. (1998) 'Knowledge and situational feedback in a learning environment for algebra story problem solving', Interactive Learning Environments, Vol. 5, No. 1, pp.135-159.
19. National Council of Teachers of Mathematics (NCTM) (2000) Principles and Standards for School Mathematics, NCTM, Reston.
20. PISA-NL-team (2006) Wiskundige Geletterdheid Volgens PISA. 1. Analyse - Hoe Staat de Vlag Erbij? (Mathematical Literacy According to PISA. 1. Analysis - What is the Situation?), Freudenthal Institute, Utrecht.
21. Schliemann, A., Carraher, D., Brizuela, B., Earnest, D., Goodrow, A., Lara-Roth, S. et al. (2003) 'Algebra in elementary school', in Pateman, N., Dougherty, B. and Zilliox, J., (Eds.): Proceedings of the 27th PME International Conference, University of Hawaii, Honolulu, Vol. 4, pp.127-134.
22. Shute, V.J. (2008) 'Focus on formative feedback', Review of Educational Research, Vol. 78, No. 1, pp.153-189.
23. Smith, J.P. and Thompson, P.W. (2007) 'Quantitative reasoning and the development of algebraic reasoning', in Kaput J., Carraher D. and Blanton M., (Eds.): Algebra in the Early Grades, pp.95-132, Erlbaum, New York.
24. Sutherland, R. and Rojano, T. (1993) 'A spreadsheet approach to solving algebra problems', The Journal of Mathematical Behavior, Vol. 12, pp.353-383.
25. Van den Heuvel-Panhuizen, M. and Bodin-Baarends, C. (2004) 'All or nothing: problem solving by high achievers in mathematics', Journal of the Korea Society of Mathematical Education, Vol. 8, No. 3, pp.115-121.