Objectual beliefs of two preservice mathematics teachers about teaching geometric transformations with geometer’s sketchpad

Referencias

Anfara, V. A., & Mertz, N. T., Jr. (Eds.). (2006). Theoretical frameworks in qualitative research. Thousand Oaks, CA: Sage Publications, Inc. Audi, R. (2015). Rational beliefs: Structure, grounds, and intellectual virtue. Oxford: Oxford University Press. Bailyn, L. (1977). Research as a cognitive process: Implications for data analysis. Quality and quantity, 11, 97-107. Belbase, S. (2013). Images, anxieties, and attitudes toward mathematics. International Journal of Education in Mathematics, Science, and Technology, 1(4), 230-237. Accessed on July 20, 2017 from: http://dergipark.ulakbim.gov.tr/ijemst/article/view/5000036019 Belbase, S. (2014). Radical constructivist grounded theory: A hybrid epistemology. A presentation at the College of Education Research Symposium, University of Wyoming, Laramie, Wyoming (March 7, 2014). Online accessed on May 23, 2017 from: http://repository.uwyo.edu/education_symp/2014/Schedule/4/ Belbase, S. (2015a). A preservice secondary mathematics teacher’s beliefs about teaching mathematics with technology. International Journal of Research in Education and Science, 1(1), 31-44. Accessed on June 15, 2017 from: http://ijres.net/index.php/ijres/article/view/15 Belbase, S. (2015b). Pre-service secondary mathematics teachers’ beliefs about teaching geometric transformations using Geometer’s Sketchpad. A doctoral dissertation, University of Wyoming, Laramie, WY, USA. Belbase, S. (2016). Reflective and reflexive beliefs of two pre-service secondary mathematics teachers about teaching geometric transformations using Geometer’s Sketchpad. European Journal of Educational and Social Sciences, 1(1), 34-65. Online accessed on May 28, 2017 from: http://ejess.eu/EJESS_vol1_1_MANID243_34-65.pdf Belbase, S. (2017). Attitudinal and cognitive beliefs of two pre-service secondary mathematics teachers. International Journal of Research in Education and Science (IJRES), 3(2), 307-326. Online accessed from: http://ijres.net/index.php/ijres/article/view/231 Bell, A., Greer, B., Grimison, L., & Mangan, C. (1989). Children’s performance on multiplicative word problems: Elements of a descriptive theory. Journal for Research in Mathematics Education, 20(5), 434–449. Bergkamp, J. (2010). The paradox of emotionality and competence in multicultural competency training: A grounded theory. A doctoral dissertation, Antioch University, Seattle, WA, USA. Central Board of Secondary Education (CBSE, India). (2016). Mathematics: Coordinate geometry and transformations. Delhi: CBSE. Chai, C. S., Wong, B., & Teo, T. (2011). Singaporean pre-service teachers’ beliefs about epistemology, teaching and learning, and technology. Teacher Development: An International Journal of Teachers’ Professional Development, 15 (4), 485-498. Charmaz, K. (2006). Constructing grounded theory: A practical guide through qualitative analysis. Thousand Oaks, CA: Sage Publications, Inc. Chen, R. J. (2011). Pre-service mathematics teachers’ ambiguous views of technology. School Science and Mathematics, 111(2), 56-67. Clarke, A. E. (2005). Situational analysis: Grounded theory after the postmodern turn. Thousand Oaks, CA: Sage Publications, Inc. Corbin, J. M., & Strauss, A. L. (2008). Basics of qualitative research: Techniques and procedures for developing grounded theory (3rd ed.). Los Angeles, CA: Sage Publications, Inc. Cuevas, G. J. (2010). Integrating technology in the mathematics classroom. In K. Cennamo, J. Ross, & P. Ertmer (Eds.), Technology integration for meaningful classroom use: A standard-based approach (pp. 369-386). Belmont, CA: WADSWORTH. Cuoco, A. A., & Goldenberg, E. P. (1997). Dynamic geometry as a bridge from Euclidean Geometry to Analysis. In J. R. King & D. Schattschneider (Eds.), Geometry turned on!: Dynamic software in learning, teaching, and research (pp. 33-44). Washington, D. C.: The Mathematical Association of America. Curriculum Development Center (CDC, Nepal). (2012). Basic education curriculum. Sanothimi, Bhaktapur, Nepal: CDC. De Corte, E., & Verschaffel, L. (1987). The effect of semantic structure on first graders’ strategies for solving addition and subtraction word problems. Journal of Research in Mathematics Education, 18(5), 363-381. Department for Education (DfE, UK). (2014). National curriculum in England: Mathematics programmes of study (July 16, 2014). Manchester, UK: DfE. Erbas, A. K., Ledford, S. D., Orrill, C. H., & Polly, D. (2005). Promoting problem solving across geometry and algebra by using technology. Mathematics Teacher, 98(9), 599-603. Erens, R., & Eichler, A. (2016). Beliefs and technology. In C. Bernack-Schüler, R. Erens, A. Eichler, & T. Leuders (Eds.), Views and beliefs in mathematics education: Results of the 19th MAVI Conference (pp. 133 – 144). Germany: Springer Spektrum. Ertmer, P. A. (2006). Teacher pedagogical beliefs and classroom technology use: A critical link. Online resource document retrieved on May 24, 2013 from: http://www.edci.purdue.edu/ertmer/docs/AERA06_TchrBeliefs.pdf Ertmer, P. A., Ottenbreit-Leftwich, A. T., Sadik, O., Sendurur, E., & Sendurur, P. (2012). Teacher beliefs and technology integration practices: A critical relationship. Computer & Education, 59(2012), 423-435. DOI: 10.1016/j.compedu.2012.02.001 Friedhoff, S., Zu Verl, C. M., Pietsch, C., Meyer, C., Vomprass, J., & Liebig, S. (2013). Social research data: Documentation, management, and technical implementation within the SFB 882. SFB 882 Working Paper Series, 16 (February). Online available from: http://www.sfb882.uni-bielefeld.de/ Garry, T. (1997). Geometer’s Sketchpad in the classroom. In J. R. King & D. Schattschneider (Eds.), Geometry turned on! Dynamic software in learning, teaching, and research (pp. 5562). Washington, D. C.: The Mathematical Association of America. Glaser, B. G., & Strauss, A. L. (1967). The discovery of grounded theory: Strategies for qualitative research. New York, NY: Aldine de Gruyter. Goldin, G. A. (2000). A scientific perspective on structured, task-based interviews in mathematics education research. In A.E. Kelly & R.A. Lesh (Eds.), Handbook of research design in mathematics and science education (pp. 35-44). Mahwah, NJ: Lawrence Erlbaum Associates. Goldin, G. A. (2002). Affect, meta-affect, and mathematical beliefs structures. In G. C. Leder, E. Pehkonen, & G. Tӧrner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 59-72). Dordrecht, The Netherlands: Kluwer Academic Publishers. Hertz, R. (Ed.). (1997). Reflexivity and voice. Thousand Oaks, CA: Sage Publications, Inc. Hoong, L. Y. (2003). Use of the Geometer’s Sketchpad in secondary schools. The Mathematics Educator, 7(2), 86-95. Hoong, L. Y., & Khoh, L.-T. S. (2003). Effects of Geometer’s Sketchpad on spatial ability and achievement in transformation geometry among secondary two students in Singapore. The Mathematics Educator, 7(1), 32-48. Hunter, J. (2015). Technology integration and high possibility classrooms: Building from TPACK. New York, NY: Routledge. Jiang, Z. (2011). Participant research essay for TTAME Research Team. In S. A. Chamberlin, L. L. Hatfield, & S. Belbase (Eds.), New perspectives and directions for collaborative research in mathematics education: Papers from a planning conference for WISDOMe. Laramie, WY: College of Education, University of Wyoming. Kim, S. (2016). Relationship between pre-service secondary mathematics teachers’ beliefs, knowledge, and technology use. A doctoral dissertation, University of Georgia, Athens, GA. Kissane, B., McConney, A., & Ho, K. F. (2015). Review of the use of technology in mathematics education. Perth, Western Australia: Government of Western Australia School Curriculum and Standards Authority. Layder, D. (1998). Sociological practice: Linking theory and social research. London: Sage Publications, Inc. Leatham, K. R. (2002). Pre-service secondary mathematics teachers’ beliefs about teaching with technology. A doctoral dissertation, University of Georgia, Athens, GA. Lempert, L. B. (2007). Asking questions of the data: Memo writing in the grounded theory tradition. In A. Bryant & K. Charmaz (Eds.), The SAGE handbook of grounded theory (pp. 245-264). Los Angeles, CA: Sage Publications, Inc. Lichtenstein, B. B. (2000). The matrix of complexity: A multi-disciplinary approach for studying emergence in coevolution. Online retrieved on January 20, 2014 from: http://www.hsdinstitute.org/learn-more/library/articles/MatrixOfComplexity.pdf Lye, S. Y., & Churchill, D. (2013). Teaching with technology in a Future School in Singapore: A mathematics teacher’s experience. In L. Y. Tay & C. P. Lim (Eds.), Creating holistic technology-enhanced learning experiences: Tales from a Future School in Singapore (pp. 39-58). Rotterdam, The Netherlands: Sense Publishers. Maher, C. A. (1998). Constructivism and constructivist teaching: Can they co-exist? In O. Bjorkqvist (Ed.), Mathematics teaching from a constructivist point of view (pp. 29 – 42). Finland: Abo Akademi. Maher, C. A., & Sigley, R. (2014). Task-based interviews in mathematics education. Encyclopedia of Mathematics Education (pp. 579-582). DOI: 10.1007/978-94-007-49788_147. Mauther, N. S., & Doucet, A. (2003). Reflexive accounts and accounts of reflexivity in qualitative data analysis. Sociology, 37(3), 413-431. Meng, C. C. (2009). Engaging students’ geometric thinking through phase-based instruction using Geometer’s Sketchpad: A case study. Journal Pendidik dan Pendidikan, 24, 89- 107. Meng, C. C., & Sam, L. C. (2013). Developing pre-service teachers’ technological pedagogical content knowledge for teaching mathematics with the Geometer’s Sketchpad through lesson study. Journal of Education and Learning, 2(1), 1-8. Misfeldt, M., Jankvist, U. T., & Aguilar, M. S. (2016). Teacher beliefs about the discipline of mathematics and the use of technology in the classroom. Mathematics Education, 11(2), 395-419. DOI: 10.12973/iser.2016.2113a Mishra, P., & Koehler, M. J. (2006). Technological pedagogical content knowledge: A new framework for teacher knowledge. Teachers College Record, 108(6), 1017-1054. Morse, J. M. (1994). Emerging from the data: The cognitive process of analysis in qualitative inquiry. In J. Morse (Ed.), Critical issues in qualitative research methods (pp. 23–43). Thousand Oaks, CA: Sage Publications, Inc. National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: NCTM. National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common core state standards for mathematics. Washington, DC: Authors. Nesher, P. (1988). Multiplicative school word problems: Theoretical approaches and empirical findings. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 19–40). Hillsdale, NJ: Erlbaum. Nordin, N., Zakaria, E., Mohamed, N. K., & Embi, M. A. (2010). Pedagogical usability of the Geometer’s Sketchpad (GSP) digital module in the mathematics teaching. The Turkish Online Journal of Educational Technology, 9(4), 113-117. Parveva, T., Noorani, S., Ranguelov, S., Motiejunaite, A., & Kerpanova, V. (2011). Mathematics education in Europe: Common challenges and national policies. Education, Audiovisual and Culture Executive Agency, European Commission. Pierre, E. A. (2009). Decentering voice in qualitative inquiry. In A. Y. Jackson & L. A. Mazzei (Eds.), Voice in qualitative inquiry: Challenging conventional, interpretive, and critical conceptions in qualitative research (pp. 221-236). New York, NY: Routledge. Polly, D. (Ed.). (2015). Cases on technology integration in mathematics education. Hershey, PA: Information Science Reference. Rahim, M. H. (2000). A classroom use of the Geometer’s Sketchpad in a mathematics preservice teacher education program. Thunder Bay, Ontario: Faculty of Education, Lakehead University. Ramli, R., & Mustapha, R. (2014). An investigation on the GSP implementation in the teaching of mathematics at a Malaysian Technical School. Journal of Asian Vocational Education and Training, 7, 74-83. Rodwell, M. K. (1998). Social work constructivist research. New York, NY: Garland Publishing Inc. Shafer, K. G. (2004). Two high school teachers’ initial use of Geometer’s Sketchpad: Issues of implementation. A doctoral dissertation, Western Michigan University, Kalamazoo, MI. Steffe, L. P. (2002). The constructivist teaching experiment: Illustrations and implications. In E. Von Glasersfeld (Ed.), Radical constructivism in mathematics education (pp. 177 – 194). New York, NY: Kluwer Academic Publishers. Steffe, L. P., & Thompson, P. W. (2000). Teaching experiment methodology: Underlying principles and essential elements. In R. Lesh & A. E. Kelly (Eds.), Research design in mathematics and science education (pp. 267 – 307). Hillsdale, NJ: Erlbaum. Steketee, S., & Scher, D. (2012). Sensations to teach composition of functions. Mathematics Teacher, 106(4), 261-268. Strauss, A. L., & Corbin, J. M. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory (2nd ed.). Thousand Oaks, CA: Sage Publications, Inc. Thornberg, R., & Charmaz, K. (2014). Grounded theory and theoretical coding. In U. Flick (Ed.), The SAGE handbook of qualitative data analysis (pp. 153-169). Los Angeles: Sage Publications, Inc. Vergnaud, G. (1988). Multiplicative structures. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 141–162). Hillsdale, NJ: Erlbaum. Von Glasersfeld, E. (1995). Radical constructivism: A way of knowing and learning. New York, NY: Routledge Falmer. Von Glasersfeld, E. (Ed.). (1991). Radical constructivism in mathematics education. Dordrecht, The Netherlands: Kluwer Academic Publishers. Wachira, P., & Keengwe, J. (2011). Technology integration barriers: Urban school mathematics teachers’ perspective. Journal of Science Education and Technology, 20(1), 17-25. DOI 10.1007/s10956-010-9230-y Warfield, H. A. (2013). The therapeutic value of pilgrimage: A grounded theory study North Carolina State University. A doctoral dissertation, Raleigh, North Carolina. Welsh, R. (2009). International barriers to small business development: A study of independent retailers from the Edinburgh South Asian Community. A doctoral dissertation, Queen Margaret University. Willig, C. (2014). Interpretation and analysis. In U. Flick (Ed.), The SAGE handbook of qualitative data analysis (pp. 136-150). Los Angeles, CA: Sage Publications, Inc.