The Application of Theory of Didactical Transposition into Geography Instruction: Focusing on Theory of Didactic Situation

doi:10.25202/JAKG.15.1.5

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2026 Vol.15, Issue 1 Preview Page Next Page

Research Article

The Application of Theory of Didactical Transposition into Geography Instruction: Focusing on Theory of Didactic Situation 교수학적 변환론의 지리 교수에의 적용: 교수학적 상황론을 중심으로: 서태열^1†
Tae-Yeol Seo^1†; ¹고려대학교 지리교육과 교수

¹Professor, Department of Geography Education, Korea University

31 March 2026. pp. 69~89

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Abstract

Didactics in France has developed through Gérard Vergnaud’s Theory of conceptual fields, Guy Brousseau’s Theory of didactic situation, Yves Chevallard’s Theory of didactic transposition and Anthropological Theory of Didactics et al. Guy Brousseau firstly suggested didactical theory of French didactics, namely the theory of didactic situation which emphasize the role of situation in building knowledge, systematical cognitive behavior within situation and learning through this situation, Depending on the theory of learning by adaptation of Piaget, hypothesis of epistemological obstacle of Gaston Bachelard, the concept of milieu which contains all cultural knowings. the theory of didactic situation defines learning as combination of adaptation and acculturation, and emphasize devolution as a condition for adaptation and institutionalization as a condition for acculturation.

Keywords

Theory of didactical transposition

Theory of didactic situation

Brousseau

Milieu

Adaption

Acculturation

프랑스에서 교수학은 교수학적 변환과정에 중점을 두고, Gérard Vergnaud의 개념장 이론, Guy Brousseau가 제시한 교수학적 상황론(Theory of didactic situation), Yves Chevallard가 제시한 교수학적 변환론(Theory of didactic transposition)과 교수학의 인류학적 접근(Anthropological Theory of Didactics) 등으로 발전해왔다. Guy Brousseau는 Piaget의 인지이론의 영향을 넘어서 프랑스적인 독자적 교수학이론을 처음으로 제시했다고 볼 수 있는데, 지식의 형성과정에서 상황의 중요성을 재인식하고, 상황 속에서의 인지적 행위들과 이 과정에서 발생하는 학습을 보다 체계적으로 조직하여 교수학적 상황론을 제시하였다. Brousseau의 교수학적 상황론은 Piaget의 적응에 의한 학습, Bachelard의 인식론적 장애 가설, 모든 문화적 앎을 담은 개념으로서 milieu를 바탕으로 하여, 교수와 학습의 체계적 성격, 지식의 인식론, 그리고 학습을 적응(adaptation)과 변용(acculturation)의 결합으로 보는 관점에 초점을 둔다. 비교수적(adidactical) 상황에서의 환경으로의 독립적 적응과 다른 한편으로 교수학적 상황과 협약을 통한 교육시스템으로의 변용을 촉진하도록 하기 위해, 적응을 위한 조건으로서 이양(devolution)과 변용(acculturation)을 위한 조건으로 제도화를 강조한다.

키워드

교수학적 변환론

교수학적 상황론

Brousseau

Milieu

적응

변용

References

강완, 1991, “수학적 지식의 교수학적 변환,” 한국수학교육학회지, 30(3), 71-89.
서태열, 2024, “독일 Klafki의 Didactical Analysis와 지식론의 지리교육에의 적용 방안,” 한국지리학회지, 13(4), 393~415. 10.25202/JAKG.13.4.5
서태열·이지현, 2023, “영국 국가교육과정의 ‘지식전회’, 지식논쟁 그리고 지리 교과,” 한국지리학회지, 12(4), 547~575. 10.25202/JAKG.12.4.3
이경화, 1996, “교수학적 변환론의 이해,” 수학교육학연구, 6(1), 203-213. 10.1016/0375-9601(96)00064-3
장혜원, 2000, “프랑스의 수학교육 연구에 대한 고찰,” 수학교육학연구, 10(2), 183-197.
조성욱, 2009, “지리 지식의 유형별 교수학적 변환방법,” 한국지리환경교육학회지, 17(3), 211-224.
김혜진, 2015, “교수학의 인류학적 접근 이론(ATD)의 이해,” 사회과교육, 54(4), 115-128.
최웅환, 2009, “문법 교육에서의 교수적 변환론,” 국어교육연구, 45, 321-346. 10.1016/S0932-4739(09)00040-6
Artigue, M., 2008, Didactical design in mathematics education, in Winsløw, C., ed., Nordic Research in Mathematics Education: Prodeedings from NORMA08, Copenhagen, Denmark: NORMA, 7-16. 10.1163/9789087907839_003
Artigue, M., 2014, Didactic engineering in mathematics education, in Lerman, S., ed., Encyclopedia of Mathematics Education, 2nd ed., New York, U. S. A.: Springer, 159-162. 10.1007/978-94-007-4978-8_44
Artigue, M., Haspekian, M., and Corblin-Lenfant, A., 2014, Introduction to the Theory of Didactical Situations(TDS), in Bikner-Ahsbahs, A, and Prediger, S., eds., Networking of Theories as a Research Practice in Mathmatics Education, Heidelberg, Germany: Springer, 47-65. 10.1007/978-3-319-05389-9_4
Barquero, B. and Bosch, M. 2015., Didactic engineering as a research methodology: From fundamental situations to study and research paths. in Watson, A. and Ohtani, M., eds., Task Design In Mathematics Education. Cham, Switzerland: Springer, 249-272. 10.1007/978-3-319-09629-2_8
Bosch, M. and Gascón, J., 2014, Introduction to the Anthropological Theory of the Didactic(ATD), in Bikner-Ahsbahs, A. and Prediger, S., eds.. Networking of Theories as a Research Practice in Mathmatics Education, Heidelberg, Germany: Springer, 67-83. 10.1007/978-3-319-05389-9_5
Bronckart, J. and Giger, I. P., 1998, La transposition didactique. Histoire et perspectives d'une problématique fondatrice, Pratiques, 97-98. 10.3406/prati.1998.2480
Brousseau, G., 1998, Théories des situations didactiques. La pensée Sauvage, Grenoble.
Brousseau, G., 1994, Perspectives pour la didactique des mathématiques, in Artigue, M., Gras, R., Laborde, C., Tavignot, P. and Balacheff, N., eds., Vingt ans de Didactique des Mathématiques en France. Hommage à Guy Brousseau et Gérard Vergnaud. Grenoble, France: La Pensée Sauvage, 51-66.
Brousseau, G., 1997, Theory of Didactical Situations in Mathematics, New York, U. S. A.: Kluwer Academic Publishers.
Brousseau, G., 1999, Education et didactique des mathématiques. paper presented at the congress Educacion y didactica de las matematicas, Mexico city: Mexique, 1-30(https://hal.science/hal-00466260v1).
Brousseau, G., 2000, Educación y didáctica de las matemáticas, Educación Matemática 12(1), 5-38. 10.24844/EM1201.01
Brousseau, G., 2006, Mathematics, didactical engineering and observation. in Novotna. J., Moraova H., Kratka, M. and Stehlíková N., Eds., Proceedings 30th Conference of the International Group for Psychology of Mathematics Education, Vol. l, 3-18, Prague.
Brousseau, G., 2011, The theory of didactic situations in mathematics, Education and Didactics [Online], 5(1), 1-5.
Brousseau, G., 2013, Introduction a l’Ingenierie Didactique (non-published lecture). Available from http://guy-brousseau.com/2760/introduction-a-l%E2%80%99ingenierie-didactique-2013/
Brousseau, G. and Warfield, V., 2020, Didactic situations in mathematics education, in Lerman, S. ed., Encyclopedia of Mathematics Education, 2nd ed., New York, U.S. A.: Springer, 206-213. 10.1007/978-3-030-15789-0_47
Brousseau, G., Sarrazy, B., and Novotná J., 2020, Didactic contract in mathematics education, in Lerman, S., ed., Encyclopedia of Mathematics Education, 2nd ed., New York, U. S. A.: Springer, 197-202. 10.1007/978-3-030-15789-0_46
Chevallard, Y., 1985, La Transposition didactique: du savoir savant au savoir enseigné, Grenoble: La Pensée Sauvage.
Chevallard, Y., 1989, On didactic transposition theory: Some introductory notes, Paru dans les Proceedings de ce symposium, Bratislava, Slovakia, 51-62.
Chevallard, Y. and Bosch, M., 2020, Didactic transposition in mathematics education, in Lerman, S., ed., Encyclopedia of Mathematics Education, 2nd ed., New York, U. S. A.: Springer, 214-218. 10.1007/978-3-030-15789-0_48
Hersant, M. and Perrin-Glolian M., 2005, Characterization of ordinary teaching practice with the help of the theory of didactic situations, Educational Studies in Mathematics, 59, 113-151. 10.1007/s10649-005-2183-z
Klafki, W., 1995, Didactic analysis as the core of preparation of instruction(Didaktische analyse als kern der Unterrichtsvorbereitung), Journal of Curriculum Studies, 27(1), 13-30. 10.1080/0022027950270103
Laborde, C., Perrin-Glorian, M.-J., and Sierpinska, A., Eds.. 2005, Beyond the apparent banality of the mathematics classroom, New York: Springer. 10.1007/0-387-30451-7
Margolinas, C., Abboud-Blanchard, M., Bueno-Ravel, L., Douek, N., Fluckiger, A., Gibel, P., Vandebrouck, F., and Wozniak, F. Eds., 2011, En amont et en aval des ingénieries didactiques. Grenoble: La Pensée Sauvage.
Mangiante-Orsola C., Perrin-Glorian M., and StrØmskag, H., 2018, Theory of didactical situations as a tool to understand and develop mathematics teaching practices, Annales de Didactique de Sciences Cognitives, special issue English-France, 145-173. 10.4000/adsc.334
Muller, J., 2023, Powerful knowledge, disciplinary knowledge, curriculum knowledge: educational knowledge in question, International Research in Geographical and Environmental Education, 32(1), 20-34. 10.1080/10382046.2022.2058349
Ouvrier-Buffet, C., 2024, Théorie des situations didactiques et situations de preuve: étude de deux exemples, EpiDEMES, 3, 1-23.
Perrin-Glorian, M., 1993, Vinst ans de didactique en 1993! Où en est-on dix ans après?, in 30ème Colloque Inter-IREM des Formateurs et Professeurs Chargés de la Formation des Maîtres, Avignon, Marseille University of the Mediterranean, France, 33-78.
Perrin-Glorian, M. and Hersant, M., 2003, Milieu et contrat didactique, outils pour l’analyse de sequence ordinaires, Recherches en Didactique des Mathématiques, 23(2), 217-276.
Schneider, M., 2020, Epistemological obstacles in mathematics education, in Lerman, S. ed., Encyclopedia of Mathematics Education, 2nd ed., New York, U. S. A.: Springer, 276-279. 10.1007/978-3-030-15789-0_57
Verret, M., 1975, Le temps des études, Paris, France: Honoré Champion.
Warfield, V. M., 2006, Invitation to Didactique, Seattle: Dept. of Mathematics, University of Washington.
Wozniak, F., Bosch, M., and Artaud M., 2020, The anthropological theory of the didactic, in ARDM(Association for Research in Didactics of Mathematics) (https://ardm.eu/who-are-we/yves-chevallard-english/).

Information

Publisher :The Association of Korean Geographers
Publisher(Ko) :한국지리학회
Journal Title :Journal of the Association of Korean Geographers
Journal Title(Ko) :한국지리학회지
Volume : 15
No :1
Pages :69~89
DOI :https://doi.org/10.25202/JAKG.15.1.5

[1] 강완, 1991, “수학적 지식의 교수학적 변환,” 한국수학교육학회지, 30(3), 71-89.

[2] 서태열, 2024, “독일 Klafki의 Didactical Analysis와 지식론의 지리교육에의 적용 방안,” 한국지리학회지, 13(4), 393~415. 10.25202/JAKG.13.4.5

[3] 서태열·이지현, 2023, “영국 국가교육과정의 ‘지식전회’, 지식논쟁 그리고 지리 교과,” 한국지리학회지, 12(4), 547~575. 10.25202/JAKG.12.4.3

[4] 이경화, 1996, “교수학적 변환론의 이해,” 수학교육학연구, 6(1), 203-213. 10.1016/0375-9601(96)00064-3

[5] 장혜원, 2000, “프랑스의 수학교육 연구에 대한 고찰,” 수학교육학연구, 10(2), 183-197.

[6] 조성욱, 2009, “지리 지식의 유형별 교수학적 변환방법,” 한국지리환경교육학회지, 17(3), 211-224.

[7] 김혜진, 2015, “교수학의 인류학적 접근 이론(ATD)의 이해,” 사회과교육, 54(4), 115-128.

[8] 최웅환, 2009, “문법 교육에서의 교수적 변환론,” 국어교육연구, 45, 321-346. 10.1016/S0932-4739(09)00040-6

[9] Artigue, M., 2008, Didactical design in mathematics education, in Winsløw, C., ed., Nordic Research in Mathematics Education: Prodeedings from NORMA08, Copenhagen, Denmark: NORMA, 7-16. 10.1163/9789087907839_003

[10] Artigue, M., 2014, Didactic engineering in mathematics education, in Lerman, S., ed., Encyclopedia of Mathematics Education, 2nd ed., New York, U. S. A.: Springer, 159-162. 10.1007/978-94-007-4978-8_44

[11] Artigue, M., Haspekian, M., and Corblin-Lenfant, A., 2014, Introduction to the Theory of Didactical Situations(TDS), in Bikner-Ahsbahs, A, and Prediger, S., eds., Networking of Theories as a Research Practice in Mathmatics Education, Heidelberg, Germany: Springer, 47-65. 10.1007/978-3-319-05389-9_4

[12] Barquero, B. and Bosch, M. 2015., Didactic engineering as a research methodology: From fundamental situations to study and research paths. in Watson, A. and Ohtani, M., eds., Task Design In Mathematics Education. Cham, Switzerland: Springer, 249-272. 10.1007/978-3-319-09629-2_8

[13] Bosch, M. and Gascón, J., 2014, Introduction to the Anthropological Theory of the Didactic(ATD), in Bikner-Ahsbahs, A. and Prediger, S., eds.. Networking of Theories as a Research Practice in Mathmatics Education, Heidelberg, Germany: Springer, 67-83. 10.1007/978-3-319-05389-9_5

[14] Bronckart, J. and Giger, I. P., 1998, La transposition didactique. Histoire et perspectives d'une problématique fondatrice, Pratiques, 97-98. 10.3406/prati.1998.2480

[15] Brousseau, G., 1998, Théories des situations didactiques. La pensée Sauvage, Grenoble.

[16] Brousseau, G., 1994, Perspectives pour la didactique des mathématiques, in Artigue, M., Gras, R., Laborde, C., Tavignot, P. and Balacheff, N., eds., Vingt ans de Didactique des Mathématiques en France. Hommage à Guy Brousseau et Gérard Vergnaud. Grenoble, France: La Pensée Sauvage, 51-66.

[17] Brousseau, G., 1997, Theory of Didactical Situations in Mathematics, New York, U. S. A.: Kluwer Academic Publishers.

[18] Brousseau, G., 1999, Education et didactique des mathématiques. paper presented at the congress Educacion y didactica de las matematicas, Mexico city: Mexique, 1-30(https://hal.science/hal-00466260v1).

[19] Brousseau, G., 2000, Educación y didáctica de las matemáticas, Educación Matemática 12(1), 5-38. 10.24844/EM1201.01

[20] Brousseau, G., 2006, Mathematics, didactical engineering and observation. in Novotna. J., Moraova H., Kratka, M. and Stehlíková N., Eds., Proceedings 30th Conference of the International Group for Psychology of Mathematics Education, Vol. l, 3-18, Prague.

[21] Brousseau, G., 2011, The theory of didactic situations in mathematics, Education and Didactics [Online], 5(1), 1-5.

[22] Brousseau, G., 2013, Introduction a l’Ingenierie Didactique (non-published lecture). Available from http://guy-brousseau.com/2760/introduction-a-l%E2%80%99ingenierie-didactique-2013/

[23] Brousseau, G. and Warfield, V., 2020, Didactic situations in mathematics education, in Lerman, S. ed., Encyclopedia of Mathematics Education, 2nd ed., New York, U.S. A.: Springer, 206-213. 10.1007/978-3-030-15789-0_47

[24] Brousseau, G., Sarrazy, B., and Novotná J., 2020, Didactic contract in mathematics education, in Lerman, S., ed., Encyclopedia of Mathematics Education, 2nd ed., New York, U. S. A.: Springer, 197-202. 10.1007/978-3-030-15789-0_46

[25] Chevallard, Y., 1985, La Transposition didactique: du savoir savant au savoir enseigné, Grenoble: La Pensée Sauvage.

[26] Chevallard, Y., 1989, On didactic transposition theory: Some introductory notes, Paru dans les Proceedings de ce symposium, Bratislava, Slovakia, 51-62.

[27] Chevallard, Y. and Bosch, M., 2020, Didactic transposition in mathematics education, in Lerman, S., ed., Encyclopedia of Mathematics Education, 2nd ed., New York, U. S. A.: Springer, 214-218. 10.1007/978-3-030-15789-0_48

[28] Hersant, M. and Perrin-Glolian M., 2005, Characterization of ordinary teaching practice with the help of the theory of didactic situations, Educational Studies in Mathematics, 59, 113-151. 10.1007/s10649-005-2183-z

[29] Klafki, W., 1995, Didactic analysis as the core of preparation of instruction(Didaktische analyse als kern der Unterrichtsvorbereitung), Journal of Curriculum Studies, 27(1), 13-30. 10.1080/0022027950270103

[30] Laborde, C., Perrin-Glorian, M.-J., and Sierpinska, A., Eds.. 2005, Beyond the apparent banality of the mathematics classroom, New York: Springer. 10.1007/0-387-30451-7

[31] Margolinas, C., Abboud-Blanchard, M., Bueno-Ravel, L., Douek, N., Fluckiger, A., Gibel, P., Vandebrouck, F., and Wozniak, F. Eds., 2011, En amont et en aval des ingénieries didactiques. Grenoble: La Pensée Sauvage.

[32] Mangiante-Orsola C., Perrin-Glorian M., and StrØmskag, H., 2018, Theory of didactical situations as a tool to understand and develop mathematics teaching practices, Annales de Didactique de Sciences Cognitives, special issue English-France, 145-173. 10.4000/adsc.334

[33] Muller, J., 2023, Powerful knowledge, disciplinary knowledge, curriculum knowledge: educational knowledge in question, International Research in Geographical and Environmental Education, 32(1), 20-34. 10.1080/10382046.2022.2058349

[34] Ouvrier-Buffet, C., 2024, Théorie des situations didactiques et situations de preuve: étude de deux exemples, EpiDEMES, 3, 1-23.

[35] Perrin-Glorian, M., 1993, Vinst ans de didactique en 1993! Où en est-on dix ans après?, in 30ème Colloque Inter-IREM des Formateurs et Professeurs Chargés de la Formation des Maîtres, Avignon, Marseille University of the Mediterranean, France, 33-78.

[36] Perrin-Glorian, M. and Hersant, M., 2003, Milieu et contrat didactique, outils pour l’analyse de sequence ordinaires, Recherches en Didactique des Mathématiques, 23(2), 217-276.

[37] Schneider, M., 2020, Epistemological obstacles in mathematics education, in Lerman, S. ed., Encyclopedia of Mathematics Education, 2nd ed., New York, U. S. A.: Springer, 276-279. 10.1007/978-3-030-15789-0_57

[38] Verret, M., 1975, Le temps des études, Paris, France: Honoré Champion.

[39] Warfield, V. M., 2006, Invitation to Didactique, Seattle: Dept. of Mathematics, University of Washington.

[40] Wozniak, F., Bosch, M., and Artaud M., 2020, The anthropological theory of the didactic, in ARDM(Association for Research in Didactics of Mathematics) (https://ardm.eu/who-are-we/yves-chevallard-english/).

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