On meaning making in mathematics education: Social, emotional, semiotic

Educational Studies in Mathematics

Volumn 77, Issue 2-3, 2011, Pages 207-226

  Seeger, Falk ^a  

^a NONE   (Germany)

Author keywords

Attachment; Consciousness; Culture; Deep play; Emotion; Empathy; Implicit learning and understanding; Meaning making; Mind; Pragmatic maxim; Pretending; Reciprocity; Semiotic; Shared intentionality

Indexed keywords

EID: 79956318781     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/s10649-010-9279-9     Document Type: Article

References (109)

1. Bateson, M. C. (1975). Mother-infant exchanges: The epigenesis of conversational interaction. In D. Aaronson & R. W. Rieber (Eds.), Developmental psycholinguistics and communication disorders (pp. 101-113). New York: New York Academy of Sciences.
2. Bauersfeld, H. (1990). Thomas, unser Nullverwalter-eine unabgeschlossene Fallgeschichte [Thomas, our custodian of the zero-an unfinished case study]. Die Grundschulzeitschrift, 4(Heft 31), 4-5.
3. Beebe, B., Stern, D., & Jaffe, J. (1979). The kinesic rhythm of mother infant-interactions. In W. Siegman & S. Feldstein (Eds.), Of speech and time: Temporal speech patterns in interpersonal context (pp. 22-34). Hillsdale: Erlbaum.
4. Beebe, B., Jaffe, J., Feldstein, S., Mays, K., & Alson, D. (1985). Interpersonal timing: The application of an adult dialogue model to mother-infant vocal and kinesic interactions. In T. M. Field & N. Fox (Eds.), Social perception in infants (pp. 217-248). Norwood: Ablex.
5. Bereiter, C., & Scardamalia, M. (1985). Cognitive coping strategies and the problem of "inert knowledge". In S. F. Chipman, J. W. Segal, & R. Glaser (Eds.), Thinking and learning skills, vol 2 (pp. 65-80). Hillsdale: Erlbaum.
6. Bourdieu, P. (1977). Outline of a theory of practice. Cambridge: Cambridge University Press.
7. Bourdieu, P. (1984). Distinction: A social critique of the judgment of taste. Cambridge: Harvard University Press.
8. Bowlby, J. (1969). Attachment and loss, Volume 1. London: Hogarth.
9. Bowlby, J. (1973). Separation, Vol 2. London: Hogarth.
10. Bowlby, J. (1980). Loss, vol 3. London: Hogarth.
11. Bretherton, I., & Mulholland, K. A. (1999). Internal working models in attachment relationships: A construct revisited. In J. Cassidy & Ph R Shaver (Eds.), Handbook of attachment: Theory, research, and clinical applications (pp. 89-111). New York: Guilford.
12. Bruner, J. S. (1972). The nature and uses of immaturity. American Psychologist, 27, 1-28.
13. Bruner, J. S. (1990). Acts of meaning. Cambridge: Harvard University Press.
14. Bubner, R., Rorty, R., Teufel, R., Vattimo, G., Theunissen, M., Habermas, J., et al. (2001). Sein, das verstanden werden kann, ist Sprache: Hommage an Hans-Georg Gadamer [Being that can be understood is language]. Frankfurt/Main: Suhrkamp.
15. Bullowa, M. (Ed.). (1979). Before speech: The beginnings of human communication. Cambridge: Cambridge University Press.
16. Cassirer, E. (1953). Substance and function. New York: Dover.
17. Cazden, C. (1981). Performance before competence: Assistance to child discourse in the zone of proximal development. Quarterly Newsletter of the Laboratory of Comparative Human Cognition, 3, 5-8.
18. Charness, N., Reingold, E. M., Pomplun, M., & Stampe, D. M. (2001). The perceptual aspect of skilled performance in chess: Evidence from eye movements. Memory and Cognition, 29(8), 1146-1152.
19. Chase, W. G., & Simon, H. A. (1973). The mind's eye in chess. In W. G. Chase (Ed.), Visual information processing (pp. 215-281). New York: Academic.
20. Cobb, P., & Bauersfeld, H. (1995). Introduction: The coordination of psychological and sociological perspectives in mathematics education. In P. Cobb & H. Bauersfeld (Eds.), The emergence of mathematical meaning: Interaction in classroom cultures (pp. 1-16). Hillsdale: Erlbaum.
21. Colapietro, V. (1989). Peirce's approach to the self-A semiotic perspective on human subjectivity. Albany: State University of New York Press.
22. Daniels, H., Cole, M., & Wertsch, J. V. (2007). The Cambridge companion to Vygotsky. New York: Cambridge University Press.
23. de Groot, A. D. (1978). Thought and choice in chess. The Hague: Mouton De Gruyter. Original work published 1946.
24. Dehaene, S. (1992). Varieties of numerical abilities. Cognition, 44, 1-40.
25. Dehaene, S. (1997). The number sense-How the mind creates mathematics. New York: Oxford University Press.
26. Diderot, D. (2007). The paradox of acting. Whitefish: Kessinger. Original work published 1830.
27. Donald, M. (2001). A mind so rare-The evolution of human consciousness. New York: Norton.
28. Dreyfus, H. L., & Dreyfus, S. E. (1986). Mind over machine: The power of human intuition and expertise in the era of the computer. New York: The Free Press.
29. Duval, R. (2008). Eight problems for a semiotic approach in mathematics education. In L. Radford, G. Schubring, & F. Seeger (Eds.), Semiotic in mathematics education: Epistemology, history, clasroom, and culture (pp. 39-62). Rotterdam: Sense.
30. Elias, N. (1978). The civilizing process: The development of manners. New York: Urizen Books.
31. Field, T. M., & Fox, N. A. (Eds.). (1985). Social perception in infants. Norwood: Ablex.
32. Gebauer, G., & Wulf, C. (2009). After the "Death of Man": From philosophical anthropology to historical anthropology. Iris - European Journal of Philosophy and Public Debate, 1, 171-86.
33. Geertz, C. (1972). Deep play: Note on the Balinese cockfight. Daedalus, 101, 1-37.
34. Geertz, C. (1973). The interpretation of cultures. New York: Basic Books.
35. Gehlen, A. (1988). Man: His nature and place in the world. New York: Columbia University Press. Original work published 1940.
36. Gigerenzer, G., & Selten, R. (Eds.). (2001). Bounded rationality. The adaptive toolbox. Cambridge: MIT.
37. Goldman, A. I. (2008). Simulating minds: The philosophy, psychology, and neuroscience of mindreading. New York: Oxford University Press.
38. Greenspan, S. I., & Shanker, S. G. (2004). The first idea-How symbol, language, and intelligence evolved from our primate ancestors to modern humans. Cambridge: Da Capo Press.
39. Hiebert, J., & Carpenter, T. P. (1992). Learning and teaching with understanding. In D. Grouws (Ed.), Handbook for research on mathematics teaching and learning (pp. 65-97). New York: MacMillan.
40. Hiebert, J., Carpenter, T. B., Fennema, E., Fuson, K. C., Wearne, D., Murray, H., et al. (1997). Making sense: Teaching and learning mathematics with understanding. Portsmouth: Heinemann.
41. Hildebrand-Nilshon, M., & Seeger, F. (2006). Sign and triangulation: From Vygotsky to Peirce and back. Paper presented to the First International Symposium of Cultural-Historical Anthropology and Cultural-Historical Psychology, December 1-2, Freie Universiät Berlin.
42. Hoffmann, M. H. G. (1999). Problems with Peirce's concept of abduction. Foundations of Science, 4(3), 271-305.
43. Hoffmann, M. H. G. (2007). Learning from people, things, and signs. Studies in Philosophy and Education, 26(3), 185-204.
44. Holzkamp, K. (1984). Zum Verhältnis zwischen gesamtgesellschaftlichem Prozeß und individuellem Lebensprozeß [The relation of societal process and individual life process]. Konsequent, Diskussions-Sonderband 6, Streitbarer Materialismus, 29-40.
45. James, W. (2001). Psychology-The briefer course. Mineola: Dover. Original work published 1892.
46. Kieran, C., Forman, E., & Sfard, A. (Eds.) (2001) Learning discourse: Sociocultural approaches to research in mathematics education. Special Issue of Educational Studies in Mathematics, 46, Numbers 1-3.
47. Kropotkin, P. (2006). Mutual aid: A factor of evolution. Mineola: Dover. Original work published 1902.
48. Langer, E. J. (1978). Rethinking the role of thought in social interaction. In J. Harvey, W. Ickes, & R. Kidd (Eds.), New directions in attribution theory (Vol. 2, pp. 35-58). Hillsdale: Erlbaum.
49. Langer, E. J. (1989). Mindfulness. Reading: Addison-Wesley.
50. Langer, E. J. (1997). The power of mindful learning. Reading: Addison-Wesley.
51. Leont'ev, A. N. (1979). Activity, consciousness and personality. Englewood Cliffs: Prentice Hall.
52. Locke, J. (1997). An essay concerning human understanding. London: Penguin. Original work published 1689.
53. Meltzoff, A. N., & Moore, M. K. (1977). Imitation of facial and manual gestures by human neonates. Science, 198, 75-78.
54. Meltzoff, A. N., Kuhl, P. K., Movellan, J., & Sejnowski, T. J. (2009). Foundations for a new science of learning. Science, 325, 284-288.
55. Miller, G. A. (1956). The magical number seven, plus or minus two: Some limits on our capacity to process information. Psychological Review, 63, 81-97.
56. Nichols, S., & Stich, S. P. (2003). Mindreading: An integrated account of pretence, self-awareness, and understanding other minds. New York: Oxford University Press.
57. Nisbett, R., & Wilson, T. (1977). Telling more than we can know: Verbal reports on mental processes. Psychological Review, 84, 231-259.
58. Otte, M. (1994). Das Formale, das Soziale und das Subjektive-Eine Einführung in die Philosophie und Didaktik der Mathematik [The formal, the social, and the subjective-An introduction into the philosophy of mathematics and mathematics education]. Frankfurt/Main: Suhrkamp.
59. Otte, M. (2008). Metaphor and contingency. In L. Radford, G. Schubring, & F. Seeger (Eds.), Semiotic in mathematics education: Epistemology, history, clasroom, and culture (pp. 63-82). Rotterdam: Sense.
60. Papousek, H., & Papousek, M. (1974). Mirror image and self-recognition in young infants. Developmental Psychology, 7, 149-157.
61. Papousek, H., & Papousek, M. (1977). Cognitive aspects of preverbal social interaction between human infants and adults. In R. Porter & M. O'Connor (Eds.), Ciba foundation symposium 33-Parent-infant interaction (pp. 241-269). New York: Wiley.
62. Papousek, H., & Papousek, M. (1981). How human is the human newborn, and what else is to be done. In K. Bloom (Ed.), Prospective issues in infancy research (pp. 137-155). Hillsdale: Erlbaum.
63. Peirce, C. S. (1878). How to make our ideas clear. Popular Science Monthly, 12, 286-302.
64. Peirce, C. S. (1905). Pragmatism. Collected Papers, CP, 5, 8-9.
65. Peirce, C. S. (1906). Issues of pragmaticism. Collected Papers, CP 5. 402n3.
66. Peirce, C. S. (1908). A neglected argument for the reality of God. Collected Papers, CP, 6, 481-482.
67. Polanyi, M. (1967). The tacit dimension. New York: Anchor Books.
68. Reber, A. S. (1967). Implicit learning of artificial grammars. Journal of Verbal Learning and Verbal Behavior, 77, 317-327.
69. Reber, A. S. (1993). Implicit learning and tacit knowledge: An essay on the cognitive unconscious. New York: Oxford University Press.
70. Rifkin, J. (2010). The empathic civilization. The race to global consciousness in a world in crisis. New York: Wiley.
71. Rorty, R. (2001). "Sein, das verstanden werden kann, ist Sprache." In "Sein, das verstanden werden kann, ist Sprache"-Hommage an Hans-Georg Gadamer (pp. 30-49). Frankfurt/Main: Suhrkamp.
72. Rotman, B. (2000). Mathematics as sign: Writing, imagining, counting. Palo Alto: Standford University Press.
73. Ryle, G. (1949). The concept of mind. New York: Barnes and Noble.
74. Schön, D. A. (1983). The reflective practitioner: How professionals think in action. New York: Basic Books.
75. Schön, D. A. (1987). Educating the reflective practitioner: Toward a new design for teaching and learning in the professions. San Francisco: Jossey-Bass.
76. Seeger, F. (2001). The complementarity of theory and praxis in the cultural-historical approach: From self-application to self-regulation. In S. Chaiklin (Ed.), The theory and practice of cultural-historical psychology (pp. 35-55). Aarhus: Aarhus University Press.
77. Seeger, F. (2005). Vygotskij und Peirce-Anmerkungen zur Philosophie und Psychologie der Semiose [Peirce and Vygotsky-Remarks on the philosophy and psychology of semiosis]. In M.-C. Bertau, A. Werani, & G. Kegel (Eds.), Psycholinguistische Studien 2 (pp. 61-81). Aachen: Shaker-Verlag.
78. Seeger, F. (2006). Ein semiotischer Blick auf die Psychologie des Mathematiklernens [A semiotic view on the psychology of learning mathematics]. Journal für Mathematik-Didaktik, 27(3/4), 265-284.
79. Seeger, F., & Hildebrand-Nilshon, M. (2010). Two lines of development: Reconsidering and updating Vygotsky's argument. In M. Kontopodis, Ch Wulf, & B. Fichtner (Eds.), Children, culture and education. New York: Springer.
80. Seger, C. A. (1994). Implicit learning. Psychological Bulletin, 115(2), 163-196.
81. Shank, G. (1998). The extraordinary powers of abductive reasoning. Theory and Psychology, 8(6), 841-860.
82. Simon, H. A. (1955). A behavioral model of rational choice. The Quarterly Journal of Economics, 69, 99-118.
83. Simon, H. A. (1956). Rational choice and the structure of the environment. Psychological Review, 63, 129-138.
84. Skemp, R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching, 77, 20-26.
85. Stern, D. (1971). A microanalysis of mother-infant interaction. Journal of the American Academy of Child Psychiatry, 10, 501-517.
86. Stern, D. (1985). The interpersonal world of the infant: A view from psychoanalysis and developmental psychology. New York: Basic Books.
87. Stiegler, B. (2010). Taking care of youth and the generations. Palo Alto: Stanford University Press.
88. Stone, L. J., Smith, H. T., & Murphy, L. B. (Eds.). (1973). The competent infant. New York: Basic Books.
89. Tomasello, M. (1999). The cultural origins of human cognition. Cambridge: Harvard University Press.
90. Tomasello, M. (2004). Learning through others. Daedalus, 113(1), 51-58.
91. Tomasello, M. (2008). Origins of human communication. Cambridge: MIT.
92. Tomasello, M. (2009). Why we cooperate. Cambridge: MIT.
93. Trevarthen, C. (1977). Descriptive analyses of infant communication behavior. In H. R. Schaffer (Ed.), Studies in mother-infant interaction: The Loch Lomond Symposium (pp. 227-270). London: Academic.
94. Trevarthen, C. (1979). Communication and cooperation in early infancy: A description of primary intersubjectivity. In M. Bullowa (Ed.), Before speech: The beginnings of human communication (pp. 321-347). Cambridge: Cambridge University Press.
95. Trevarthen, C. (1980). The foundations of intersubjectivity: development of interpersonal and cooperative understanding in infants. In D. Olson (Ed.), The social foundations of language and thought: Essays in honor of J. S. Bruner (pp. 316-342). New York: Norton.
96. Trevarthen, C. (1994). Infant semiosis. In W. Nöth (Ed.), Origins of semiosis-Sign evolution in nature and culture (pp. 219-252). Berlin: Mouton de Gruyter.
97. Trevarthen, C., & Hubley, P. (1978). Secondary intersubjectivity: Confidence, confiding and acts of meaning in the first year. In A. Lock (Ed.), Action, gesture and symbol: The emergence of language (pp. 183-230). London: Academic.
98. Trivers, R. L. (1971). The evolution of reciprocal altruism. The Quarterly Review of Biology, 46(1), 35-57.
99. Vaihinger, H. (2009). The philosophy of "As If". Eastford: Martino Fine Books. Original work published 1911.
100. van der Veer, R., & Valsiner, J. (1991). Understanding Vygotsky: A quest for synthesis. Oxford: Blackwell.
101. van der Veer, R., & Valsiner, J. (Eds.). (1994). The Vygotsky reader. Oxford: Blackwell.
102. Voigt, J. (1989). Zahlensätze und Apfelwürmchen [Number sets and little apple worms]. Manuscript. Bielefeld: Institut für Didaktik der Mathematik.
103. Voigt, J. (1998). The culture of the mathematics classroom: Negotiating the meaning of empirical phenomena. In F. Seeger, J. Voigt, & U. Waschescio (Eds.), The culture of the mathematics classroom (pp. 191-220). Cambridge: Cambridge University Press.
104. Vygotsky, L. S. (1997). The history of the development of higher mental functions. In R. W. Rieber (Ed.), The collected works of L. S. Vygotsky. Vol. 4. New York: Plenum. Original work 1931.
105. Vygotsky, L. S. (1999a). Tool and sign in the development of the child. In R. W. Rieber (Ed.), The collected works of L. S. Vygotsky. Vol. 6 (pp. 1-68). New York: Kluwer. Original work 1930.
106. Vygotsky, L. S. (1999b). On the problem of he psychology of the actor's creative work. In R. W. Rieber (Ed.), The collected works of L. S. Vygotsky. Vol. 6 (pp. 237-244). New York: Kluwer. Original work first published 1936.
107. Warneken, F., & Tomasello, M. (2009). Varieties of altruism in children and chimpanzees. Trends in Cognitive Science, 13, 397-402.
108. Youniss, J. (1986). Development in reciprocity through friendship. In E. M. Cummings & R. Janetti (Eds.), Altruism and aggression: Biological and social origins (pp. 86-106). New York: Cambridge University Press.
109. Zan, R., Brown, L., Evans, J., & Hannula, M. (Eds.) (2006). Affect in mathematics education. Special Issue of Educational Studies in Mathematics, 63, Number 2.