Abstract
The article presents an overview and analysis of the research concerning the influence of technology on pupils’ knowledge and skills in mathematics in the period since the nineties of the twentieth century to the present. There are presented and discussed methods and results of the experiments focused on the use of some types of technologies such as graphic calculators, dynamic geometry software and internet. In conclusion, the article refers to current trends of technology integration and summarizes the main merits and risks associated with its use in mathematics education.
References
- ABDELFATAH, H. A Story-based Dynamic Geometry Approach to Improve Attitudes toward Geometry and Geometric Proof. The International Journal on Mathematics Education. 2011, vol. 43, no. 3, p. 441–450. Search in Google Scholar
- ARIAS, J. M., MAZA, I. S. Uso de las Tecnologías de la Información y la Comunicación en Matemáticas para la ESO y los Bachilleratos. La gaceta de la RSME. 2006, vol. 9, no. 1, p. 233–243 [online]. Dostupné z: http://www.rsme.es/gacetadigital/vernumero.php?id=61 Search in Google Scholar
- AYDIN, H., MONAGHAN, J. Bridging the Divide-seeing Mathematics in the World through Dynamic Geometry. Teaching Mathematics and Its Applications. 2011, vol. 30, no. 1, p. 1–9. Search in Google Scholar
- BACCAGLINI-FRANK, A., MARIOTTI, M. A. Generating Conjectures in Dynamic Geometry: The Maintaining Dragging Model. International Journal of Computers for Mathematical Learning. 2010, vol. 15, no. 3, p. 225–253. Search in Google Scholar
- BAKI, A., GÜVELI, E. Evaluation of a Web Based Mathematics Teaching Material on the Subject of Functions. Computers and Education. 2008, vol. 51, no. 2, p. 854–863. Search in Google Scholar
- BÖHM, J., et al. The Case for CAS. Münster : Westfälische Wilhelms-Universität Münster, 2004. 134 p. Search in Google Scholar
- BURRILL, G. J., et al. Handheld Graphing Technology in Secondary School Mathematics: Research Findings and Implications for Classroom Practice. Dallas, TX : Texas Instruments, 2002, 122 p. Dostupné z: http://ti-researchlibrary.com/default.aspx Search in Google Scholar
- CIHLÁŘ, J. Využití ICT ve výuce matematiky. In : Stehlíková, N. (ed.) Jak učit matematiku žáky ve věku 11–15 let. Plzeň : Vydavatelský servis, 2008. s. 9–18. Search in Google Scholar
- ČÁP, J., MAREŠ, J. Psychologie pro učitele. Praha : Portál, 2001. 656 s. Search in Google Scholar
- DAY, R. Classroom Technology: Tool for, or Focus of, Learning? Mathematics Teacher. 1996, vol. 89, no. 2, p. 134–137. Search in Google Scholar
- DION, G. The Graphics Calculator: a Tool for Critical Thinking. Mathematics Teacher. 1990, vol. 83, no. 7, p. 564–570. Search in Google Scholar
- DRIJVERS, P. H. M. Learning algebra in a computer algebra environment. Utrecht : CD-β Press, Center for Science and Mathematics Education, 2003. 370 p. Search in Google Scholar
- DUNHAM, P. H., DICK, T. Research on Graphing Calculators. Mathematics Teacher. 1994, vol. 87, no. 6, p. 440–445. Search in Google Scholar
- ELLINGTON, A. J. A Meta-analysis of the Effects of Calculators on Students’ Achievement and Attitude Levels in Precollege Mathematics Classes. Journal for Research in Mathematics Education. 2003, vol. 34, no. 5, p. 433–463. Search in Google Scholar
- ERBAS, A. K., YENMEZ, A. A. The Effect of inquiry-based Explorations in a Dynamic Geometry Environment on Sixth Grade Students’ Achievements in Polygons. Computers and Education. 2011, vol. 57, no. 4, p. 2 462–2 475. Search in Google Scholar
- FLADE, L., LICHTENBERG, W., PRUZINA, M. Zum Einsatz eines grafikfähigen Taschenrechners im Mathematikunterricht des Gymnasiums. Mathematik in der Schule. 1992, roč. 30, č. 3, s. 129–133. Search in Google Scholar
- FUNKHOUSER, C. The Effects of Computer Augmented Geometry Instruction on Student Performance and Attitudes. Journal of Research on Technology in Education. 2002, vol. 35, no. 2, p. 163–175. Search in Google Scholar
- GANTZ, L. A. The Effects of the TI-Nspire CAS on Student Learning: A Phase I Project. Virginia : George Mason University, 2008, 41 p. Dostupné z: http://tiresearchlibrary.com/default.aspx Search in Google Scholar
- GAWLICK, T. On Dynamic Geometry Software in the Regular Classroom. The International Journal on Mathematics Education. 2002, vol. 34, no. 3, p. 85–92. Search in Google Scholar
- GILLIS, J. M. An Investigation of Student Conjectures in Static and Dynamic Geometry Environments. Auburn : Auburn University, 2005. Dissertation. 171 p. Dostupné z: http://etd.auburn.edu/etd/bitstream/handle/10415/854/GILLIS JOHN 2.pdf?sequence=1 Search in Google Scholar
- GRAFF, M., MAYER, P., LEBENS, M. Evaluating a Web Based Inteligent Tutoring System for Mathematics at German Lower Secondary Schools. Education and Information Technologies. 2008, vol. 13, no. 3, p. 221–230. Search in Google Scholar
- GUIN, D., RUTHVEN, K., TROUCHE, L. (eds.) The Didactical Challenge of Symbolic Calculators: Turing a Computational Device into a Mathematical Instrument. Mathematics Education Library, vol. 36. New York : Springer, 2005. Search in Google Scholar
- GÜVEN, B., KOSA, T. The Effect of Dynamic Geometry Software on Student Mathematics Teachers Spatial Visualization Skills. The Turkish Online Journal of Educational Technology. 2008, vol. 7, no. 4. Dostupné z: http://www.tojet.net/articles/7411.pdf Search in Google Scholar
- HANSEN, H. B. The Effects of the Use of Dynamic Geometry Software on Student Achievement and Interest. Minnesota : Bemidji State University, 2004. Research paper. Dostupné z: http://faculty.bemidjistate.edu/grichgels/MastersPapers/MastersList.htm Search in Google Scholar
- HATTERMANN, M. The dragging process in three dimensional dynamic geometry environments (DGE). In Proceedings PME 32, Figueras, O. et al. (eds.), 2008, p. 3-129–3-136. Search in Google Scholar
- HEJNÝ, M., KUŘINA, F. Dítě, škola a matematika: Konstruktivistické přístupy k vyučování. Praha : Portál, 2009. 232 s. Search in Google Scholar
- HELLER, J., et al. Impact of Handheld Graphing Calculator Use on Student Achievement in Algebra 1. Heller Research Associates, 2005. 70 p. Dostupné z: http://education.ti.com/sites/US/downloads/pdf/research heller curtis.pdf Search in Google Scholar
- HENTSCHEL, T., PRUZINA, M. Graphikfähige Taschenrechner im Mathematikunterricht – Ergebnisse aus einem Schulversuch (in Klasse 9/10). Journal für Mathematik Didaktik. 1995, vol. 16, no. 3/4, p. 193–232. Search in Google Scholar
- HILL, J. R., et al. Exploring Research on Internet-based Learning: From Infrastructure to Interactions. In Jonassen, D. H. (ed.) Handbook of Research on Educational Communications and Technology, p. 433–460. Lawrence Erlbaum Associates : USA, New Jersey, 2004. Search in Google Scholar
- HIRSCHHORN, D. B., THOMPSON, D. R. Technology and Reasoning in Algebra and Geometry. Mathematics Teacher. 1996, vol. 89, no. 2, p. 138–147. Search in Google Scholar
- HULL, A. N., BROVEY, A. J. The Impact of the Use of Dynamic Geometry Software on Student Achievement and Attitudes towards Mathematics. Action Research Exchange [online]. 2004, vol. 3, no. 1, 7 p. Dostupné z: http://teach.valdosta.edu/are/ Search in Google Scholar
- CHINO, K., et al. The Effects of „Spatial Geometry Curriculum with 3D DGS" in Lower Secondary School Mathematics. In Proceedings PME 31, part 2, 2007, p. 137–144. Search in Google Scholar
- ISIKSAL, M., ASKAN, P. The Effect of Spreadsheet and Dynamic Geometry Software on the Achievement and Self-Efficacy of 7th-Grade Students. Educational Research, 2005, vol. 47, no. 3, p. 333–350. Search in Google Scholar
- JOHNSTON-WILDER, S., MASON, J. Developing Thinking in Geometry. London : Paul Chapman Publishing, 2006. 270 s. Search in Google Scholar
- KASTBERG, S., LEATHAM, K. Research on Graphing Calculators at the Secondary Level: Implications for Mathematics Teacher Education. Contemporary Issues in Technology and Teacher Education [online]. 2005, vol. 5, no. 1. Dostupné z: http://www.citejournal.org/vol5/iss1/mathematics/article1.cfm Search in Google Scholar
- KASTEN, S. A., SINCLAIR, N. Using Dynamic Geometry Software in the Mathematics Classroom: A Study of Teacher’s Choices and Rationales. The International Journal for Technology in Mathematics Education. 2009, vol. 16, no. 4, p. 133–143. Search in Google Scholar
- KHOJU, M., JACIW, A., MILLER, G. Effectiveness of Graphing Calculators in K-12 Mathematics Achivevement [online]. Publikováno 2005 [cit. 2008–05-20]. Dostupné z: http://education.ti.com/sites/US/downloads/pdf/research khojou jaciw.pdf Search in Google Scholar
- KVĚTOŇ, P. Možnosti použití minikalkulátorů ve vyučování matematice na základní škole. Spisy Pedagogické fakulty v Ostravě. Praha : SPN, 1983, 114 s. Search in Google Scholar
- LABORDE, C. Integration of Technology in the Design of Geometry tasks with Cabri-Geometry. International Journal of Computers for Mathematical Learning. 2001, vol. 6, no. 3, p. 283–317. Search in Google Scholar
- LABORDE, C., KYNIGOS, C., HOLLEBRANDS, K., STRÄSSER, R. Teaching and learning geometry with technology. In Gutiérrez, A., Boero, P. (eds.) Handbook of research on the psychology of mathematics education: Past, present and future. Rotterdam, The Netherlands : Sense Publisher, 2006, p. 275–304. Search in Google Scholar
- LEISCHNER, P. Rozvíjení prostorové představivosti žáků středních škol. Praha : MFF UK, 2003, 150 s. Disertační práce. Search in Google Scholar
- MACEDO-ROUET, M. et al. Students’ Performance and Satisfaction with Web vs. Paper-Based Practice Quizzes and Lecture Notes. Computers and Education, 2009, vol. 53, no. 2, p. 375–384. Search in Google Scholar
- MERCER, J. Teaching Graphing Concepts with Graphing Calculators. Mathematics Teacher. 1995, vol. 88, no. 4, p. 268–273. Search in Google Scholar
- MOŠNA, F.Webové stránky s matematickým textem, In Alternativní metody výuky. Praha : Přírodovědecká fakulta, 2005, s. 84–89. Search in Google Scholar
- NEUMAJER, O. ICT kompetence učitelů: dizertační práce. Praha : PedF UK, 2007, 167 s. Search in Google Scholar
- NEUMAJER, O. Koncept 1 : 1 – notebook pro každého žáka – skrývá mnohá úskalí. Metodický portál: Články, 2009 [online]. Dostupné z: http://clanky.rvp.cz Search in Google Scholar
- NG, W. L., et al. Effects of Using a Computer Algebra System (CAS) on Junior College Students’ Attitudes towards CAS and Achievement in Mathematics. The International Journal for Technology in Mathematics Education. 2005, vol. 12, no. 2, p. 59–72. Search in Google Scholar
- OLDKNOW, A., TAYLOR, R. Teaching Mathematics Using ICT. 2nd Edition. London : Continuum, 2003, 262 s. Search in Google Scholar
- PITTA-PANTAZI, D., CHRISTOU, C. Cognitive styles, dynamic geometry and measurement performance. Educational Studies in Mathematics, 2009, vol. 70, no. 1, p. 5–6. Search in Google Scholar
- POWERS, R., et al. A Study of the Use of a Handheld Computer Algebra System in Discrete Mathematics. The International Journal for Technology in Mathematics Education. 2005, vol. 12, no. 3, p. 103–113. Search in Google Scholar
- PUUSTINEN, M., et al. An Analysis of Students’ Spontaneous Computer-mediated Help Seeking: A Step toward the Design of Ecologically Valid Supporting Tools. Computers and Education. 2009, vol. 53, no. 4, p. 1 040–1 047. Search in Google Scholar
- ROBOVÁ, J. Grafické kalkulátory ve výuce matematiky na gymnáziu: dizertační práce. Praha : Matematicko-fyzikální fakulta UK, 1998, 175 s. Search in Google Scholar
- ROBOVÁ, J. Integrace ICT jako prostředek aktivního přístupu žáků k matematice. Praha : Pedagogická fakulta UK, 2012, 300 s. Search in Google Scholar
- ROSCHELLE, J., GALLAGHER, L. A Research Perspective on Using Graphing Calculator Interventions to Improve Mathematics Achievement. Palo Alto, CA : SRI International, 2005, 12 p. Dostupné z: http://ti-researchlibrary.com/default.aspx Search in Google Scholar
- RUTHVEN, K., et al. Constructions of Dynamic Geometry: A Study of the Interpretative Flexibility of Educational Software in Classroom Practice. Computers and Education. 2008, vol. 51, no. 1. p. 297–317. Search in Google Scholar
- RVP, G. Rámcový vzdělávací program pro gymnázia. Praha : VÚP, 2007, 100 s. Search in Google Scholar
- SAK, P., et al. Člověk a vzdělání v informační společnosti: vzdělávání a život v komputerizovaném světě. Praha : Portál, 2007, 296 s. Search in Google Scholar
- SANDE, C. A description and characterization of student activity in an open, online, mathematics help forum. Educational Studies in Mathematics, 2011, vol. 77, no. 1, p. 53–78. Search in Google Scholar
- SCHMIDT, K., et al. Introducing a Computer Algebra System in Mathematics Education — Emipirical Evidence from Germany. The International Journal for Technology in Mathematics Education. 2009, vol. 16, no. 1, p. 11–26. Search in Google Scholar
- SEDLÁČEK, L., POTŮČKOVÁ, S. Projekt SIPVZ – tvorba a implementace softwarové podpory výuky matematiky na gymnáziu s využitím Cabri geometrie [online]. Publikován 2007-01-03 [cit. 2008-06-16]. Dostupné z: http://www.gztgm.cz/projekty/mat1/default.asp Search in Google Scholar
- UBUZ, B., et al. Effects of Dynamic Environment on Immediate and Retention Level Achievements of Seventh Grade Students. Eurasian Journal of Educational Research. 2009, vol. 35, p. 147–164. Search in Google Scholar
- VANÍČEK, J. Počítačové kognitivní technologie ve výuce geometrie. Praha : PedF UK, 2009, 212 s. Search in Google Scholar
- VONDROVÁ, N., JANČAŘÍK, A. Implementation of Netbooks in the Teaching of Mathematics in Primary Schools. H. Beldhuis (ed.) In 11th European Conference on e-Learning (ECEL 2012), University of Groningen The Netherlands, 2012, p. 567–574. Search in Google Scholar
- WALTEROVÁ, E., et al. Úloha školy v rozvoji vzdělanosti: 1. díl. Brno : Paido, 2004, 295 s. Search in Google Scholar
- WANG, K. H., et al. Learning Styles and Formative Assessment Strategy: Enhancing Student Achievement in Web-based learning. Journal of Computer Assisted Learning. 2006, vol. 22, no. 3, p. 207–217. Search in Google Scholar
- WANG, T. H. Implementation of Web-based Dynamic Assessment in Facilitating Junior High School Students to Learn Mathematics. Computers and Education. 2011, vol. 56, no. 4, p. 1 062–1 071. Search in Google Scholar
- WEGNER, S. B., HOLLOWAY, K. C., GARTON, E. M. The Effects of Internet- Based Instruction on Student Learning. Journal of Asynchronous Learning Network. 1999, vol. 3, no. 2, p. 98–106. Search in Google Scholar
- WEIGAND, H. G. Teaching with s Symbolic Calculator in 10th Grade — Evaluation of One Year Project. International Journal for Technology in Mathematics Education. 2008, vol. 15, no. 1, s. 19–32. Search in Google Scholar
- WEIGAND, H. G., BICHLER, E. Symbolic Calculators in Mathematics Lessons — The Case for CAS. International Journal for Technology in Mathematics Education. 2010, vol. 17, no. 1, p. 3–15. Search in Google Scholar
- ŽILKOVÁ, K. Školská matematika v prostředí IKT. Bratislava : Vydavatelstvo UK, 2009, 136 s. Search in Google Scholar
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