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Volumn 78, Issue 2, 2011, Pages 231-260

Prospective middle school mathematics teachers' preconceptions of geometric translations

Author keywords

Geometric translations; Preconceptions; Prospective middle school mathematics teachers

Indexed keywords


EID: 80053318538     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/s10649-011-9324-3     Document Type: Article
Times cited : (23)

References (77)
  • 2
    • 0038037400 scopus 로고
    • Student preconceptions about vector kinematics
    • Aguirre, J. M. (1988). Student preconceptions about vector kinematics. Physics Teacher, 26(4), 212-216.
    • (1988) Physics Teacher , vol.26 , Issue.4 , pp. 212-216
    • Aguirre, J.M.1
  • 3
    • 84970157743 scopus 로고
    • Coming to terms: How researchers in learning and literacy talk about knowledge
    • Alexander, P. A., Shallert, D. L., & Hare, V. C. (1991). Coming to terms: How researchers in learning and literacy talk about knowledge. Review of Educational Research, 61(3), 315-343.
    • (1991) Review of Educational Research , vol.61 , Issue.3 , pp. 315-343
    • Alexander, P.A.1    Shallert, D.L.2    Hare, V.C.3
  • 6
    • 77954690458 scopus 로고    scopus 로고
    • U.S. and Chinese teachers' constructing, knowing, and representations to teach mathematics
    • Cai, J. (2005). U. S. and Chinese teachers' constructing, knowing, and representations to teach mathematics. Mathematical Thinking and Learning, 7(2), 135-169.
    • (2005) Mathematical Thinking and Learning , vol.7 , Issue.2 , pp. 135-169
    • Cai, J.1
  • 7
    • 0002683175 scopus 로고    scopus 로고
    • Sources of conceptual change
    • E. K. Scholnick, K. Nelson, and P. Miller (Eds.), Mahwah: Lawrence Erlbaum Associates
    • Carey, S. (1999). Sources of conceptual change. In E. K. Scholnick, K. Nelson, & P. Miller (Eds.), Conceptual development: Piaget's legacy (pp. 293-326). Mahwah: Lawrence Erlbaum Associates.
    • (1999) Conceptual Development: Piaget's Legacy , pp. 293-326
    • Carey, S.1
  • 8
    • 17444380790 scopus 로고    scopus 로고
    • Commonsense conceptions of emergent processes: Why some misconceptions are robust
    • Chi, M. T. H. (2005). Commonsense conceptions of emergent processes: Why some misconceptions are robust. The Journal of the Learning Sciences, 14(2), 161-199.
    • (2005) The Journal of the Learning Sciences , vol.14 , Issue.2 , pp. 161-199
    • Chi, M.T.H.1
  • 9
    • 0002363269 scopus 로고
    • Students' preconceptions in introductory mechanics
    • Clement, J. (1982). Students' preconceptions in introductory mechanics. American Journal of Physics, 50, 66-71.
    • (1982) American Journal of Physics , vol.50 , pp. 66-71
    • Clement, J.1
  • 10
    • 84873952165 scopus 로고
    • Not all preconceptions are misconceptions: Finding anchoring conceptions for grounding instruction on students' intuitions
    • Clement, J., Brown, D., & Zietsman, A. (1989). Not all preconceptions are misconceptions: Finding anchoring conceptions for grounding instruction on students' intuitions. International Journal of Science Education, 11, 554-565.
    • (1989) International Journal of Science Education , vol.11 , pp. 554-565
    • Clement, J.1    Brown, D.2    Zietsman, A.3
  • 11
    • 0012037993 scopus 로고    scopus 로고
    • Development of students' spatial thinking in a unit on geometric motions and area
    • Clements, D. H., Battista, M. T., Sarama, J., & Swaminathan, S. (1997). Development of students' spatial thinking in a unit on geometric motions and area. The Elementary School Journal, 98(2), 171-186.
    • (1997) The Elementary School Journal , vol.98 , Issue.2 , pp. 171-186
    • Clements, D.H.1    Battista, M.T.2    Sarama, J.3    Swaminathan, S.4
  • 13
    • 0002764441 scopus 로고
    • Knowledge in pieces
    • G. Forman and P. Pufall (Eds.), Hillsdale: Lawrence Erlbaum
    • diSessa, A. A. (1988). Knowledge in pieces. In G. Forman & P. Pufall (Eds.), Constructivism in the computer age (pp. 49-70). Hillsdale: Lawrence Erlbaum.
    • (1988) Constructivism in the Computer Age , pp. 49-70
    • diSessa, A.A.1
  • 14
    • 84455175167 scopus 로고
    • Toward an epistemology of physics
    • diSessa, A. A. (1993). Toward an epistemology of physics. Cognition and Instruction, 10(2 & 3), 105-225.
    • (1993) Cognition and Instruction , vol.10 , Issue.2-3 , pp. 105-225
    • diSessa, A.A.1
  • 17
    • 10244244884 scopus 로고    scopus 로고
    • Coherence versus fragmentation in the development of the concept of force
    • diSessa, A. A., Gillespie, N., & Esterly, J. (2004). Coherence versus fragmentation in the development of the concept of force. Cognitive Science, 28, 843-900.
    • (2004) Cognitive Science , vol.28 , pp. 843-900
    • Disessa, A.A.1    Gillespie, N.2    Esterly, J.3
  • 19
    • 0002804143 scopus 로고
    • Prior knowledge and learning
    • 2nd edn., T. Husen and T. N. Postlethwaite (Eds.), Oxford: Pergamon
    • Dochy, F. J. R. C. (1994). Prior knowledge and learning. In T. Husen & T. N. Postlethwaite (Eds.), International encyclopedia of education (2nd ed., pp. 4698-4702). Oxford: Pergamon.
    • (1994) International Encyclopedia of Education , pp. 4698-4702
    • Dochy, F.J.R.C.1
  • 20
    • 0033464812 scopus 로고    scopus 로고
    • The relation between assessment practices and outcomes of studies: The case of research on prior knowledge
    • Dochy, F., Segers, M., & Buehl, M. M. (1999). The relation between assessment practices and outcomes of studies: The case of research on prior knowledge. Review of Educational Research, 69(2), 145-186.
    • (1999) Review of Educational Research , vol.69 , Issue.2 , pp. 145-186
    • Dochy, F.1    Segers, M.2    Buehl, M.M.3
  • 21
    • 0002373355 scopus 로고
    • Children's learning in a computer microworld for transformation geometry
    • Edwards, L. D. (1991). Children's learning in a computer microworld for transformation geometry. Journal for Research in Mathematics Education, 22(2), 122-137.
    • (1991) Journal for Research in Mathematics Education , vol.22 , Issue.2 , pp. 122-137
    • Edwards, L.D.1
  • 22
    • 0010132013 scopus 로고
    • A comparison of children's learning in two interactive computer environments
    • Edwards, L. D. (1992). A comparison of children's learning in two interactive computer environments. Journal of Mathematical Behavior, 11(1), 73-82.
    • (1992) Journal of Mathematical Behavior , vol.11 , Issue.1 , pp. 73-82
    • Edwards, L.D.1
  • 23
    • 0031358414 scopus 로고    scopus 로고
    • Exploring the territory before proof: Students' generalizations in a computer microworld for transformation geometry
    • Edwards, L. D. (1997). Exploring the territory before proof: Students' generalizations in a computer microworld for transformation geometry. International Journal of Computers for Mathematical Learning, 2, 187-215.
    • (1997) International Journal of Computers for Mathematical Learning , vol.2 , pp. 187-215
    • Edwards, L.D.1
  • 24
    • 80053331890 scopus 로고    scopus 로고
    • February, Paper presented at the Third Congress of the European Society for Research in Mathematics, Bellaria, Italy
    • Edwards, L. (2003, February). The nature of mathematics as viewed from cognitive science. Paper presented at the Third Congress of the European Society for Research in Mathematics, Bellaria, Italy.
    • (2003) The nature of mathematics as viewed from cognitive science
    • Edwards, L.1
  • 31
    • 0030545625 scopus 로고    scopus 로고
    • Misconceptions or p-prims: How may alternative perspectives of cognitive structure influence instructional perceptions and intentions?
    • Hammer, D. (1996). Misconceptions or p-prims: How may alternative perspectives of cognitive structure influence instructional perceptions and intentions? Journal of the Learning Sciences, 5(2), 97-127.
    • (1996) Journal of the Learning Sciences , vol.5 , Issue.2 , pp. 97-127
    • Hammer, D.1
  • 32
    • 80053338923 scopus 로고    scopus 로고
    • Enhancing elementary pre-service teachers' knowledge of geometric transformations through the use of dynamic geometry computer software
    • C. Crawford et al.(Ed.), Chesapeake: AACE
    • Harper, S. (2003). Enhancing elementary pre-service teachers' knowledge of geometric transformations through the use of dynamic geometry computer software. In C. Crawford et al. (Eds.), Proceedings of Society for Information Technology & Teacher Education International Conference (pp. 2909-2916). Chesapeake: AACE.
    • (2003) Proceedings of Society for Information Technology & Teacher Education International Conference , pp. 2909-2916
    • Harper, S.1
  • 33
    • 0039104608 scopus 로고    scopus 로고
    • Investigating a grade 11 student's evolving conceptions of heat and temperature
    • Harrison, A. G., Grayson, D. J., & Treagust, D. F. (1999). Investigating a grade 11 student's evolving conceptions of heat and temperature. Journal of Research in Science Teaching, 36(1), 55-87.
    • (1999) Journal of Research in Science Teaching , vol.36 , Issue.1 , pp. 55-87
    • Harrison, A.G.1    Grayson, D.J.2    Treagust, D.F.3
  • 34
    • 0038241039 scopus 로고    scopus 로고
    • High school students' understandings of geometric transformations in the context of a technological environment
    • Hollebrands, K. (2003). High school students' understandings of geometric transformations in the context of a technological environment. Journal of Mathematical Behavior, 22(1), 55-72.
    • (2003) Journal of Mathematical Behavior , vol.22 , Issue.1 , pp. 55-72
    • Hollebrands, K.1
  • 35
    • 33947376552 scopus 로고    scopus 로고
    • The role of a dynamic software program for geometry in the strategies high school mathematics students employ
    • Hollebrands, K. (2007). The role of a dynamic software program for geometry in the strategies high school mathematics students employ. Journal for Research in Mathematics Education, 38(2), 164-192.
    • (2007) Journal for Research in Mathematics Education , vol.38 , Issue.2 , pp. 164-192
    • Hollebrands, K.1
  • 37
    • 85018870860 scopus 로고    scopus 로고
    • Constructing pedagogical representations to teach linear relations in Chinese and U. S. classrooms
    • In J. H. Woo, H. C. Lew, K. S. Park, & D. Y. Seo (Eds.), Seoul, The Republic of Korea
    • Huang, R., & Cai, J. (2007). Constructing pedagogical representations to teach linear relations in Chinese and U. S. classrooms. In J. H. Woo, H. C. Lew, K. S. Park, & D. Y. Seo (Eds.), Proceeding of International Group for the 31st Psychology of Mathematics Education Annual Meeting (Vol. 3, pp. 65-72). Seoul, The Republic of Korea.
    • (2007) Proceeding of International Group for the 31st Psychology of Mathematics Education Annual Meeting , vol.3 , pp. 65-72
    • Huang, R.1    Cai, J.2
  • 42
    • 85139696662 scopus 로고    scopus 로고
    • Issues in the teaching and learning of geometry
    • L. Haggarty (Ed.), London: Routledge Falmer
    • Jones, K. (2002). Issues in the teaching and learning of geometry. In L. Haggarty (Ed.), Aspects of teaching secondary mathematics: Perspectives on practice (pp. 121-139). London: Routledge Falmer.
    • (2002) Aspects of Teaching Secondary Mathematics: Perspectives on Practice , pp. 121-139
    • Jones, K.1
  • 44
    • 72149118044 scopus 로고    scopus 로고
    • It's like hearing a foreign language
    • Kotsopoulos, D. (2007). It's like hearing a foreign language. Mathematics Teacher, 101(4), 301-305.
    • (2007) Mathematics Teacher , vol.101 , Issue.4 , pp. 301-305
    • Kotsopoulos, D.1
  • 47
    • 0038361737 scopus 로고    scopus 로고
    • Instructional explanations: A commonplace for teaching and location for contrast
    • 4th edn., V. Richardson (Ed.), Washington, DC: American Educational Research Association
    • Leinhardt, G. (2001). Instructional explanations: A commonplace for teaching and location for contrast. In V. Richardson (Ed.), Handbook for research on teaching (4th ed., pp. 333-357). Washington, DC: American Educational Research Association.
    • (2001) Handbook for Research on Teaching , pp. 333-357
    • Leinhardt, G.1
  • 48
    • 84908938600 scopus 로고    scopus 로고
    • The knowledge integration perspective on learning
    • M. C. Linn, E. A. Davis, and P. Bell (Eds.), Mahwah: Lawrence Erlbaum Associates
    • Linn, M. C., Eylon, B., & Davis, E. A. (2004). The knowledge integration perspective on learning. In M. C. Linn, E. A. Davis, & P. Bell (Eds.), Internet environments for science education (pp. 29-46). Mahwah: Lawrence Erlbaum Associates.
    • (2004) Internet Environments for Science Education , pp. 29-46
    • Linn, M.C.1    Eylon, B.2    Davis, E.A.3
  • 49
    • 84970390284 scopus 로고
    • Constructing conceptions of multicultural teaching: Preservice teachers' life experiences and teacher education
    • McCall, A. L. (1995). Constructing conceptions of multicultural teaching: Preservice teachers' life experiences and teacher education. Journal of Teacher Education, 46(5), 340-350.
    • (1995) Journal of Teacher Education , vol.46 , Issue.5 , pp. 340-350
    • McCall, A.L.1
  • 53
    • 0003865799 scopus 로고    scopus 로고
    • National Council of Teachers of Mathematics, Reston: National Council of Teachers of Mathematics
    • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston: National Council of Teachers of Mathematics.
    • (2000) Principles and Standards for School Mathematics
  • 54
    • 28044461967 scopus 로고    scopus 로고
    • Situation model, text base and what else? Factors affecting problem solving
    • Nesher, P., Hershkovitz, S., & Novotná, J. (2003). Situation model, text base and what else? Factors affecting problem solving. Educational Studies in Mathematics, 52(2), 151-176.
    • (2003) Educational Studies in Mathematics , vol.52 , Issue.2 , pp. 151-176
    • Nesher, P.1    Hershkovitz, S.2    Novotná, J.3
  • 57
    • 67049159392 scopus 로고    scopus 로고
    • Knowledge structure coherence in Turkish students' understanding of force
    • Özdemir, G., & Clark, D. (2009). Knowledge structure coherence in Turkish students' understanding of force. Journal of Research in Science Teaching, 46(5), 570-596.
    • (2009) Journal of Research in Science Teaching , vol.46 , Issue.5 , pp. 570-596
    • Özdemir, G.1    Clark, D.2
  • 60
    • 33751212456 scopus 로고    scopus 로고
    • Students' understanding of mathematical objects in the context of transformational geometry: Implications for constructing and understanding proofs
    • Portnoy, N., Grundmeier, T., & Graham, K. J. (2006). Students' understanding of mathematical objects in the context of transformational geometry: Implications for constructing and understanding proofs. Journal of Mathematical Behavior, 25, 196-207.
    • (2006) Journal of Mathematical Behavior , vol.25 , pp. 196-207
    • Portnoy, N.1    Grundmeier, T.2    Graham, K.J.3
  • 61
    • 80053318711 scopus 로고    scopus 로고
    • Paper presented at the Fourth Congress of the European Society for Research in Mathematics Education, Sant Feliu de Guíxols, Spain
    • Poynter, A., & Tall, D. (2005). Relating theories to practice in the teaching of mathematics. Paper presented at the Fourth Congress of the European Society for Research in Mathematics Education, Sant Feliu de Guíxols, Spain.
    • (2005) Relating theories to practice in the teaching of mathematics
    • Poynter, A.1    Tall, D.2
  • 62
    • 0038414534 scopus 로고
    • Learning in interactive environments: Prior knowledge and new experience
    • J. H. Falk and L. D. Dierking (Eds.), Washington, DC: American Association of Museums
    • Roschelle, J. (1995). Learning in interactive environments: Prior knowledge and new experience. In J. H. Falk & L. D. Dierking (Eds.), Public institutions for personal learning: Establishing a research agenda (pp. 37-51). Washington, DC: American Association of Museums.
    • (1995) Public Institutions for Personal Learning: Establishing a Research Agenda , pp. 37-51
    • Roschelle, J.1
  • 64
    • 0040049844 scopus 로고
    • Concepts in force and motion
    • Sadanand, N., & Kess, J. (1990). Concepts in force and motion. Physics Teacher, 28(8), 530-533.
    • (1990) Physics Teacher , vol.28 , Issue.8 , pp. 530-533
    • Sadanand, N.1    Kess, J.2
  • 65
    • 33748300748 scopus 로고    scopus 로고
    • Common sense clarified: The role of intuitive knowledge in physics problem solving
    • Sherin, B. (2006). Common sense clarified: The role of intuitive knowledge in physics problem solving. Journal of Research in Science Teaching, 43(6), 535-555.
    • (2006) Journal of Research in Science Teaching , vol.43 , Issue.6 , pp. 535-555
    • Sherin, B.1
  • 67
    • 33846841066 scopus 로고    scopus 로고
    • Irrational numbers: The gap between formal and intuitive knowledge
    • Sirotic, N., & Zaskis, R. (2007). Irrational numbers: The gap between formal and intuitive knowledge. Educational Studies in Mathematics, 65(1), 49-76.
    • (2007) Educational Studies in Mathematics , vol.65 , Issue.1 , pp. 49-76
    • Sirotic, N.1    Zaskis, R.2
  • 71
  • 72
    • 37649014583 scopus 로고    scopus 로고
    • The relationship between physical embodiment and mathematical symbolism: The concept of vector
    • Watson, A. Spyrou, P., & Tall, D. (2002). The relationship between physical embodiment and mathematical symbolism: The concept of vector. The Mediterranean Journal of Mathematics Education, 1(2), 73-97. Retrieved from http://www. warwick. ac. uk/staff/David. Tall/pdfs/dot2003c-watsonspirou. pdf.
    • (2002) The Mediterranean Journal of Mathematics Education , vol.1 , Issue.2 , pp. 73-97
    • Watson, A.1    Spyrou, P.2    Tall, D.3
  • 73
    • 0026466414 scopus 로고
    • Cognitive development: Foundational theories of core domains
    • Wellman, H. M., & Gelman, S. (1992). Cognitive development: Foundational theories of core domains. Annual Review of Psychology, 43, 337-375.
    • (1992) Annual Review of Psychology , vol.43 , pp. 337-375
    • Wellman, H.M.1    Gelman, S.2
  • 74
    • 80053332597 scopus 로고
    • A Study of transformational geometry instruction in the primary grades
    • Williford, H. J. (1972). A Study of transformational geometry instruction in the primary grades. Journal for Research in Mathematics Education, 3(4), 260-271.
    • (1972) Journal for Research in Mathematics Education , vol.3 , Issue.4 , pp. 260-271
    • Williford, H.J.1
  • 77
    • 67349212890 scopus 로고    scopus 로고
    • Understanding rigid geometric transformations: Jeff's learning path for translation
    • Yanik, H. B., & Flores, A. (2009). Understanding rigid geometric transformations: Jeff's learning path for translation. The Journal of Mathematical Behavior, 28(1), 41-57.
    • (2009) The Journal of Mathematical Behavior , vol.28 , Issue.1 , pp. 41-57
    • Yanik, H.B.1    Flores, A.2


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