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Volumn 36, Issue 4, 2005, Pages 284-316

A spectrum of pedagogical awareness for undergraduate mathematics: From "tricks" to "techniques"

Author keywords

College mathematics; Grounded theory; Pedagogical knowledge; Professional development; Qualitative methods; Teacher beliefs; Teachers (characteristics of); Teaching (role, style, methods)

Indexed keywords


EID: 20444362129     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (23)

References (54)
  • 1
    • 20444373474 scopus 로고    scopus 로고
    • Why the professor must be a stimulating teacher: Towards a new paradigm of teaching mathematics at university level
    • D. A. Holton (Ed.). Dordrecht, The Netherlands: Kluwer
    • Aisina, C. (2001). Why the professor must be a stimulating teacher: Towards a new paradigm of teaching mathematics at university level. In D. A. Holton (Ed.), The teaching and learning of mathematics at university level: An ICMI study (pp. 3-12). Dordrecht, The Netherlands: Kluwer.
    • (2001) The Teaching and Learning of Mathematics at University Level: An ICMI Study , pp. 3-12
    • Aisina, C.1
  • 2
    • 22544455767 scopus 로고    scopus 로고
    • What can we learn from educational research at university level?
    • D.A. Holton (Ed.). Dordrecht, The Netherlands: Kluwer
    • Artigue, M. (2001). What can we learn from educational research at university level? In D.A. Holton (Ed.), The teaching and learning of mathematics at university level: An ICMI study (pp. 207-220). Dordrecht, The Netherlands: Kluwer.
    • (2001) The Teaching and Learning of Mathematics at University Level: An ICMI Study , pp. 207-220
    • Artigue, M.1
  • 6
    • 0002763398 scopus 로고
    • Teacher's thought processes
    • M. Wittrock (Ed.), New York: Macmillan
    • Clark, C. M., & Peterson, P. L. (1986). Teacher's thought processes. In M. Wittrock (Ed.), Handbook of research on teaching (pp. 255-296). New York: Macmillan.
    • (1986) Handbook of Research on Teaching , pp. 255-296
    • Clark, C.M.1    Peterson, P.L.2
  • 7
    • 3542998388 scopus 로고    scopus 로고
    • Constructivism and activity theory: A consideration of their similarities and differences as they relate to mathematics education
    • H. Mansfield, N. Patemen, & N. Bednarz (Eds.). Dordrecht, The Netherlands: Kluwer
    • Cobb, P. (1996). Constructivism and activity theory: A consideration of their similarities and differences as they relate to mathematics education. In H. Mansfield, N. Patemen, & N. Bednarz (Eds.), Mathematics for tomorrow's young children: International perspectives on curriculum (pp. 10-56). Dordrecht, The Netherlands: Kluwer.
    • (1996) Mathematics for Tomorrow's Young Children: International Perspectives on Curriculum , pp. 10-56
    • Cobb, P.1
  • 9
    • 85138934580 scopus 로고    scopus 로고
    • The Enactive perspective on teacher development: "A path laid while walking"
    • B. Jaworski, T. Wood, & S. Dawson (Eds.). London: Palmer
    • Dawson, S. (1999). The Enactive perspective on teacher development: "A Path Laid While Walking." In B. Jaworski, T. Wood, & S. Dawson (Eds.), Mathematics teacher education: International critical perspectives (pp. 148-162). London: Palmer.
    • (1999) Mathematics Teacher Education: International Critical Perspectives , pp. 148-162
    • Dawson, S.1
  • 11
    • 0002370194 scopus 로고
    • The nature of the process conception of function
    • E. Dubinsky, & G. Harel (Eds.). Washington DC: Mathematical Association of America
    • Dubinsky, E., & Harel, G. (1992). The nature of the process conception of function. In E. Dubinsky, & G. Harel (Eds.), The Concept of Function: Aspects of Epislemology and Pedagogy, MAA Notes No. 25 (pp. 85-106). Washington DC: Mathematical Association of America.
    • (1992) The Concept of Function: Aspects of Epislemology and Pedagogy, MAA Notes No. 25 , vol.25 , pp. 85-106
    • Dubinsky, E.1    Harel, G.2
  • 12
    • 0001995528 scopus 로고
    • Reflective abstraction and mathematics education: The genetic decomposition of induction and compactness
    • Dubinsky, E., & Lewin, P. (1986). Reflective abstraction and mathematics education: The genetic decomposition of induction and compactness. The Journal of Mathematical Behavior, 5, 55-92.
    • (1986) The Journal of Mathematical Behavior , vol.5 , pp. 55-92
    • Dubinsky, E.1    Lewin, P.2
  • 14
    • 3843099719 scopus 로고    scopus 로고
    • Teachers' knowledge and understanding of students' mathematical learning
    • L. English (Ed.). New York: Erlbaum
    • Even, R., & Tirosh, D. (2002). Teachers' knowledge and understanding of students' mathematical learning. In L. English (Ed.), Handbook of International Research on Mathematics Education (pp. 219-240). New York: Erlbaum.
    • (2002) Handbook of International Research on Mathematics Education , pp. 219-240
    • Even, R.1    Tirosh, D.2
  • 15
    • 0002063725 scopus 로고
    • Philosophy of research in teaching: Three aspects
    • M. Wittrock (Ed.). New York: Macmillan
    • Fenstermacher, G. (1986). Philosophy of research in teaching: Three aspects. In M. Wittrock (Ed.), Handbook of research on teaching (pp. 37-49). New York: Macmillan.
    • (1986) Handbook of Research on Teaching , pp. 37-49
    • Fenstermacher, G.1
  • 19
    • 0004199349 scopus 로고
    • New York: Anchor Press, Doubleday
    • Hall, E. T. (1981/1959). The silent language. New York: Anchor Press, Doubleday.
    • (1959) The Silent Language
    • Hall, E.T.1
  • 21
  • 25
    • 0141874406 scopus 로고    scopus 로고
    • Mathematics teacher research: Process, practice and the development of teaching
    • Jaworski, B. (1998). Mathematics teacher research: Process, practice and the development of teaching. Journal of Mathematics Teacher Education, 1, 3-31.
    • (1998) Journal of Mathematics Teacher Education , vol.1 , pp. 3-31
    • Jaworski, B.1
  • 26
    • 20444407746 scopus 로고    scopus 로고
    • Sensitivity and challenge in university mathematics tutorial teaching
    • Jaworski, B. (2002). Sensitivity and challenge in university mathematics tutorial teaching. Educational Studies in Mathematics, 51, 71-94.
    • (2002) Educational Studies in Mathematics , vol.51 , pp. 71-94
    • Jaworski, B.1
  • 27
    • 22544447191 scopus 로고    scopus 로고
    • Characterising undergraduate mathematics teaching: A report on preliminary findings
    • L. Bills & T. Harries (Eds.). Northampton, UK: University College
    • Jaworski, B., Nardi, E., & Hegedus, S. (2000). Characterising undergraduate mathematics teaching: A report on preliminary findings. In L. Bills & T. Harries (Eds.), Proceedings of the 4th British Congress of Mathematics Education (pp. 117-122). Northampton, UK: University College.
    • (2000) Proceedings of the 4th British Congress of Mathematics Education , pp. 117-122
    • Jaworski, B.1    Nardi, E.2    Hegedus, S.3
  • 28
    • 0347247617 scopus 로고    scopus 로고
    • The changing undergraduate experience: A case study of single honours mathematics in England and Wales
    • Kahn. P. E., & Hoyles, C. (1997). The changing undergraduate experience: A case study of single honours mathematics in England and Wales. Higher Education, 22, 349-362.
    • (1997) Higher Education , vol.22 , pp. 349-362
    • Kahn, P.E.1    Hoyles, C.2
  • 32
    • 84973758366 scopus 로고
    • Capturing craft knowledge in teaching
    • Leinhardt, G. (1990). Capturing craft knowledge in teaching. Educational Researcher 19(2), 18-25.
    • (1990) Educational Researcher , vol.19 , Issue.2 , pp. 18-25
    • Leinhardt, G.1
  • 33
    • 21344467768 scopus 로고    scopus 로고
    • Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm?
    • Lerman, S. (1996). Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm? Journal for Research in Mathematics Education, 27, 133-150.
    • (1996) Journal for Research in Mathematics Education , vol.27 , pp. 133-150
    • Lerman, S.1
  • 38
    • 22544451933 scopus 로고    scopus 로고
    • El encuentro del matemático principiante con la abstracción matemática: Una imagen conceptual de los conjuntos generadores en el análisis vectorial
    • Nardi, E. (1997). El encuentro del matemático principiante con la abstracción matemática: una imagen conceptual de los conjuntos generadores en el análisis vectorial [The novice mathematician's encounter with mathematical abstraction: A concept image of spanning sets in vectorial analysis]. Educacion Matematica, 9(1), 47-60.
    • (1997) Educacion Matematica , vol.9 , Issue.1 , pp. 47-60
    • Nardi, E.1
  • 39
    • 20444421356 scopus 로고    scopus 로고
    • The challenge of teaching first-year undergraduate mathematics: Tutors' reflections on the formal mathematical enculturation of their students
    • Nardi, E. (1999a). The challenge of teaching first-year undergraduate mathematics: Tutors' reflections on the formal mathematical enculturation of their students. Nordic Studies in Mathematics Education, 7, 29-53.
    • (1999) Nordic Studies in Mathematics Education , vol.7 , pp. 29-53
    • Nardi, E.1
  • 40
    • 22544482742 scopus 로고    scopus 로고
    • Using semi-structured interviewing to trigger university mathematics tutors' reflections on their teaching practices
    • O. Zaslavsky (Ed.). Technion City, Israel: Technion University
    • Nardi, E. (1999b). Using semi-structured interviewing to trigger university mathematics tutors' reflections on their teaching practices. In O. Zaslavsky (Ed.), Proceedings of the 23rd Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 321-328). Technion City, Israel: Technion University.
    • (1999) Proceedings of the 23rd Conference of the International Group for the Psychology of Mathematics Education , vol.3 , pp. 321-328
    • Nardi, E.1
  • 41
    • 22544479556 scopus 로고    scopus 로고
    • Zeros and ones in advanced mathematics: Transcending the intimacy of number
    • Nardi, E. (2000). Zeros and ones in advanced mathematics: Transcending the intimacy of number. For the Learning of Mathematics, 20(3), 44-51.
    • (2000) For the Learning of Mathematics , vol.20 , Issue.3 , pp. 44-51
    • Nardi, E.1
  • 42
    • 20444362128 scopus 로고    scopus 로고
    • Mathematicians on concept image construction: Single " landscape" vs. "your own tailor-made brain version"
    • Technion City, Israel: Techinion University
    • Nardi, E., & Iannone, P. (2003). Mathematicians on concept image construction: Single "landscape" vs. "your own tailor-made brain version." Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 365-372). Technion City, Israel: Techinion University.
    • (2003) Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education , vol.3 , pp. 365-372
    • Nardi, E.1    Iannone, P.2
  • 45
    • 84973848880 scopus 로고
    • Those who understand: Knowledge growth in teaching
    • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
    • (1986) Educational Researcher , vol.15 , Issue.2 , pp. 4-14
    • Shulman, L.S.1
  • 48
    • 0002038327 scopus 로고
    • The transition to advanced mathematical thinking: Functions, limits, infinity and proof
    • D. A. Grouws (Ed.). New York: Macmillan
    • Tall, D. (1992). The transition to advanced mathematical thinking: Functions, limits, infinity and proof. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 495-511). New York: Macmillan.
    • (1992) Handbook of Research on Mathematics Teaching and Learning , pp. 495-511
    • Tall, D.1
  • 50
    • 0001940478 scopus 로고
    • The role of definitions in the teaching and learning of mathematics
    • D. Tall (Ed.). Dordrecht, The Netherlands: Kluwer
    • Vinner, S. (1991). The role of definitions in the teaching and learning of mathematics. In D. Tall (Ed.), Advanced mathematical thinking (pp. 65-81). Dordrecht, The Netherlands: Kluwer.
    • (1991) Advanced Mathematical Thinking , pp. 65-81
    • Vinner, S.1
  • 51
    • 0000213855 scopus 로고
    • Concept image and concept definition in mathematics with particular reference to limits and continuity
    • Vinner, S., & Tall, D. (1981). Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics, 12, 151-169.
    • (1981) Educational Studies in Mathematics , vol.12 , pp. 151-169
    • Vinner, S.1    Tall, D.2
  • 53
    • 84958916387 scopus 로고
    • Cambridge, MA: Harvard University Press
    • Vygotsky, L. S. (1962). Thought and language. Cambridge, MA: Harvard University Press.
    • (1962) Thought and Language
    • Vygotsky, L.S.1


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