Main Article Content
Abstract
Keywords
Article Details

This work is licensed under a Creative Commons Attribution 4.0 International License.
References
- Batanero, C., & Álvarez-Arroyo, R. (2024). Teaching and learning of probability. ZDM – Mathematics Education, 56(1), 5–17. https://doi.org/10.1007/s11858-023-01511-5
- Batanero, C., Chernoff, E. J., Engel, J., Lee, H. S., & Sánchez, E. (2016). Research on Teaching and Learning Probability (pp. 1–33). https://doi.org/10.1007/978-3-319-31625-3_1
- Binder, K., Krauss, S., & Wiesner, P. (2020). A New Visualization for Probabilistic Situations Containing Two Binary Events: The Frequency Net. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.00750
- Borovcnik, M. (2011). Strengthening the Role of Probability Within Statistics Curricula (pp. 71–83). https://doi.org/10.1007/978-94-007-1131-0_11
- Borovcnik, M. (2012). Conditional Probability-a Review of Mathematical, Philosophical, and Educational Perspectives. http://www.icme12.org/sub/tsg/tsgload.asp?tsgNo=11
- Bui, A. K., & Tran, H. P. (2024). Using Social constructivist theory in the teaching of solving problems of conditional probability grade 12. CTU Journal of Science, 60(4), 187–196. https://doi.org/10.22144/ctujos.2024.390
- Carranza, P., & Kuzniak, A. (2008, December 30). Duality of probability and statistics teaching in French education. Joint ICMI/IASE Study: Teaching Statistics in School Mathematics IASE Roundtable Conference. https://doi.org/10.52041/SRAP.08206
- Da, N. T. (2022). Designing a teaching model based on the Realistic Mathematics Education (RME) approach and its application in teaching calculus. Journal of Mathematics and Science Teacher, 2(1), em006. https://doi.org/10.29333/mathsciteacher/11918
- De Lange, J. (2006). Mathematical literacy for living from OECD-PISA perspective. Tsukuba Journal of Educational Study in Mathematics. Special Issue on the APEC- TSUKUBA International Conference “Innovative Teaching Mathematics through Lesson Study,” 25, 13–35. http://www.criced.tsukuba.ac.jp/math/apec2006/
- Diaz, B., Batanero, C., & Contreras, M. (2010). Teaching Independence and Conditional Probability. BEIO Revista Oficial de La Sociedad de Estadística e Investigación Operativa, 26(2), 149–162. www.seio.es/BEIO.
- Díaz, C., & Batanero, C. (2009). University Students’ Knowledge and Biases in Conditional Probability Reasoning. International Electronic Journal of Mathematics Education, 4(3), 131–162. https://doi.org/10.29333/iejme/234
- Freudenthal, H. (1968). Why to teach mathematics so as to be useful. Educational Studies in Mathematics, 1(1–2), 3–8. https://doi.org/10.1007/BF00426224
- Freudenthal, H. (1971). Geometry between the devil and the deep sea. Educational Studies in Mathematics, 3(3–4), 413–435. https://doi.org/10.1007/BF00302305
- Freudenthal, H. (1983). Didactical Phenomenology of Mathematical Structures. Reidel Publishing Company.
- Freudenthal, H. (2002). Revisiting Mathematics Education: China lectures (Vol. 9). Kluwer Academic Publishers. https://doi.org/10.1007/0-306-47202-3
- Gigerenzer, G. (2002). Calculated risks: how to know when numbers deceive you. In Choice Reviews Online (illustrated, Issue 04). Simon & Schuster.
- Gravemeijer. (1994). Developing realistic mathematics education. CD β Press. https://www.fisme.science.uu.nl/publicaties/literatuur/1994_gravemeijer_dissertation_0_222.pdf
- Gravemeijer. (1999). How Emergent Models May Foster the Constitution of Formal Mathematics. Mathematical Thinking and Learning, 1(2), 155–177. https://doi.org/10.1207/s15327833mtl0102_4
- Gravemeijer, K., & Terwel, J. (2000). Hans Freudenthal: A mathematician on didactics and curriculum theory. Journal of Curriculum Studies, 32(6), 777–796. https://doi.org/10.1080/00220270050167170
- Huerta, M. P. (2009). On Conditional Probability Problem Solving Research – Structures and Contexts. International Electronic Journal of Mathematics Education, 4(3), 163–194. https://doi.org/10.29333/iejme/235
- Huerta, M. P. (2021). On Conditional Probability Problem Solving Research – Structures and Contexts. International Electronic Journal of Mathematics Education, 4(3), 163–194. https://doi.org/10.29333/iejme/235
- Inci, A. M., Peker, B., & Kucukgencay, N. (2023). Realistic mathematics education. In book: Current Studies in Educational Disciplines 2023 (pp.66-83) Edition 1, Chapter 5. Publisher: ISRES Publishing. ISRES Publishing. https://www.researchgate.net/publication/377209600_Realistic_Mathematics_Education
- Larsen, S. (2018). Didactical phenomenology: the engine that drives realistic mathematics education. For the Learning of Mathematics, 38(3), 25–29. https://www.jstor.org/stable/26548508
- Le, T. T., Pham, A. G., & Nguyen, T. T. (2021). Applying realistic mathematics education theory in teaching: some challenges, principles and recommendations. Vietnam Journal of Education, 494(2), 37–43. https://tcgd.tapchigiaoduc.edu.vn/index.php/tapchi/article/view/22
- Loc, N. P., Tran, N., & Tien, T. (2020). Approach To Realistic Mathematics Education In Teaching Mathematics: A Case Of Cosine Theorem-Geometry 10. International Journal of Scientific & Technology Research, 8, 1173–1178. www.ijstr.org
- Lonjedo Vicent, Huerta Palau, & Carles Farina. (2012). CONDITIONAL+PROBABILITY+PROBLEMS+IN+TEXTBOOKS+AN+EXAMPLE+FROM+SPAIN. Revista Latinoamericana De Investigación En Matemática Educativa, 15(3), 319–337. https://www.scielo.org.mx/pdf/relime/v15n3/v15n3a4.pdf
- Nguyen, A. Q. (2022). Teaching conditional probability in grade 12 according to the general education curriculum in mathematics in 2018. Vietnam Journal of Educational Sciences, No. 11, November 2022, 40–46. https://doi.org/DOI:https://doi.org/10.15625/2615-8957/12211107
- Nguyen, D. N. (2020). Some problems in realistic mathematics education. Vietnam Journal of Education, 487(1), 15–21. https://mysite.tnu.edu.vn/files/users/nguyendanhnam/487_Nguyn_Danh_Nam.pdf
- Nguyen, T. T. T., & Quach, T. Sen. (2023). Some methods of teaching statistic and probability topics for 6th grade students with the support of information technology. Vietnam Journal of Educational Sciences, 19(No. 7, July 2023), 27–34. https://doi.org/10.15625/2615-8957/12310705
- Nguyen, T. T., Trinh, T. P. T., Ngo, H. T. V., Hoang, N. A., Tran, T., Pham, H. H., & Bui, V. N. (2020). Realistic mathematics education in Vietnam: Recent policies and practices. International Journal of Education and Practice, 8(1), 57–71. https://doi.org/10.18488/journal.61.2020.81.57.71
- Shao, X. (2015). An analysis of difficulties in learning Probability in high school. 7th ICMI-East Asia Regional Conference on Mathematics Education, 561–568. https://mathted.weebly.com/uploads/7/8/5/0/7850000/pp_561_shao_xiayan__final_paper_edited.pdf
- Streefland, L. (1985). Wiskunde als activiteit en de realiteit als bron (Mathematics as an activity and reality as a source). Nieuwe Wiskrant, 5(1), 60–67. http://www.fisme.science.uu.nl/wiskrant/artikelen/artikelen00-10/051/0501september_streefland.pdf
- Tomlinson, S., & Quinn, R. (1997). Understanding Conditional Probability. Teaching Statistics, 19(1), 2–7. https://doi.org/10.1111/j.1467-9639.1997.tb00309.x
- Tran, T. T. H., & Tran, C. (2021). POTENTIAL OF APPLYING REALISTIC MATHEMATICS EDUCATION TO THE TEACHING OF PROBABILITY - STATISTICS AT THE UNIVERSITIES OF MEDICINE AND PHARMACY. Journal of Science Educational Science, 66(5), 209–216. https://doi.org/10.18173/2354-1075.2021-0249
- Treffers, A. (1987). Three dimensions. A model of goal and theory description in mathematics instruction: The Wiskobas Project. Springer Dordrecht.
- Treffers, A. (1991). Didactical background of a mathematics program for primary education. In: L. Streefland (ed.). Realistic mathematics education in primary school. In Realistic mathematics education in primary school (pp. 21–56). CDß press / Freudenthal Institute, Utrecht University, Utrecht, The Netherlands. https://www.fisme.science.uu.nl/publicaties/literatuur/1991_streefland_0-209.pdf
- Van Den Heuvel-Panhuizen, M. (2000). Mathematics education in the Netherlands: A guided tour 1. Freudenthal Institute CD-rom for International Commission on Mathematics Education (ICME) 9. https://p4mriunismuh.wordpress.com/wp-content/uploads/2010/08/mathematics-education-in-the-netherlands.pdf
- Van Den Heuvel-Panhuizen, M. (2003). The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54(1), 9–35. https://doi.org/10.1023/B:EDUC.0000005212.03219.dc
- Van Den Heuvel-Panhuizen, M. (2005). The role of contexts in assessment problems in mathematics. For the Learning of Mathematics, 25(2), 2–23.
- Van den Heuvel-Panhuizen, M., & Drijvers, P. (2014). Realistic Mathematics Education. In Encyclopedia of Mathematics Education (pp. 521–525). Springer Netherlands. https://doi.org/10.1007/978-94-007-4978-8_170
- Van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic Mathematics Education. In Encyclopedia of Mathematics Education (pp. 713–717). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_170
- Vietnam Ministry of Education and Training. (2018). Mathematics General Education Curriculum of Vietnam (32/2018/TT-BGDĐT).
- Yackel, E., Stephan, M., Rasmussen, C., & Underwood, D. (2003). Didactising: Continuing the work of Leen Streefland. Educational Studies in Mathematics, 54(1), 101–126. https://doi.org/10.1023/B:EDUC.0000005213.85018.34
- Zulkardi. (2010). How to Design Mathematics Lessons based on the Realistic Approach? http://repository.unsri.ac.id/id/eprint/6362
References
Batanero, C., & Álvarez-Arroyo, R. (2024). Teaching and learning of probability. ZDM – Mathematics Education, 56(1), 5–17. https://doi.org/10.1007/s11858-023-01511-5
Batanero, C., Chernoff, E. J., Engel, J., Lee, H. S., & Sánchez, E. (2016). Research on Teaching and Learning Probability (pp. 1–33). https://doi.org/10.1007/978-3-319-31625-3_1
Binder, K., Krauss, S., & Wiesner, P. (2020). A New Visualization for Probabilistic Situations Containing Two Binary Events: The Frequency Net. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.00750
Borovcnik, M. (2011). Strengthening the Role of Probability Within Statistics Curricula (pp. 71–83). https://doi.org/10.1007/978-94-007-1131-0_11
Borovcnik, M. (2012). Conditional Probability-a Review of Mathematical, Philosophical, and Educational Perspectives. http://www.icme12.org/sub/tsg/tsgload.asp?tsgNo=11
Bui, A. K., & Tran, H. P. (2024). Using Social constructivist theory in the teaching of solving problems of conditional probability grade 12. CTU Journal of Science, 60(4), 187–196. https://doi.org/10.22144/ctujos.2024.390
Carranza, P., & Kuzniak, A. (2008, December 30). Duality of probability and statistics teaching in French education. Joint ICMI/IASE Study: Teaching Statistics in School Mathematics IASE Roundtable Conference. https://doi.org/10.52041/SRAP.08206
Da, N. T. (2022). Designing a teaching model based on the Realistic Mathematics Education (RME) approach and its application in teaching calculus. Journal of Mathematics and Science Teacher, 2(1), em006. https://doi.org/10.29333/mathsciteacher/11918
De Lange, J. (2006). Mathematical literacy for living from OECD-PISA perspective. Tsukuba Journal of Educational Study in Mathematics. Special Issue on the APEC- TSUKUBA International Conference “Innovative Teaching Mathematics through Lesson Study,” 25, 13–35. http://www.criced.tsukuba.ac.jp/math/apec2006/
Diaz, B., Batanero, C., & Contreras, M. (2010). Teaching Independence and Conditional Probability. BEIO Revista Oficial de La Sociedad de Estadística e Investigación Operativa, 26(2), 149–162. www.seio.es/BEIO.
Díaz, C., & Batanero, C. (2009). University Students’ Knowledge and Biases in Conditional Probability Reasoning. International Electronic Journal of Mathematics Education, 4(3), 131–162. https://doi.org/10.29333/iejme/234
Freudenthal, H. (1968). Why to teach mathematics so as to be useful. Educational Studies in Mathematics, 1(1–2), 3–8. https://doi.org/10.1007/BF00426224
Freudenthal, H. (1971). Geometry between the devil and the deep sea. Educational Studies in Mathematics, 3(3–4), 413–435. https://doi.org/10.1007/BF00302305
Freudenthal, H. (1983). Didactical Phenomenology of Mathematical Structures. Reidel Publishing Company.
Freudenthal, H. (2002). Revisiting Mathematics Education: China lectures (Vol. 9). Kluwer Academic Publishers. https://doi.org/10.1007/0-306-47202-3
Gigerenzer, G. (2002). Calculated risks: how to know when numbers deceive you. In Choice Reviews Online (illustrated, Issue 04). Simon & Schuster.
Gravemeijer. (1994). Developing realistic mathematics education. CD β Press. https://www.fisme.science.uu.nl/publicaties/literatuur/1994_gravemeijer_dissertation_0_222.pdf
Gravemeijer. (1999). How Emergent Models May Foster the Constitution of Formal Mathematics. Mathematical Thinking and Learning, 1(2), 155–177. https://doi.org/10.1207/s15327833mtl0102_4
Gravemeijer, K., & Terwel, J. (2000). Hans Freudenthal: A mathematician on didactics and curriculum theory. Journal of Curriculum Studies, 32(6), 777–796. https://doi.org/10.1080/00220270050167170
Huerta, M. P. (2009). On Conditional Probability Problem Solving Research – Structures and Contexts. International Electronic Journal of Mathematics Education, 4(3), 163–194. https://doi.org/10.29333/iejme/235
Huerta, M. P. (2021). On Conditional Probability Problem Solving Research – Structures and Contexts. International Electronic Journal of Mathematics Education, 4(3), 163–194. https://doi.org/10.29333/iejme/235
Inci, A. M., Peker, B., & Kucukgencay, N. (2023). Realistic mathematics education. In book: Current Studies in Educational Disciplines 2023 (pp.66-83) Edition 1, Chapter 5. Publisher: ISRES Publishing. ISRES Publishing. https://www.researchgate.net/publication/377209600_Realistic_Mathematics_Education
Larsen, S. (2018). Didactical phenomenology: the engine that drives realistic mathematics education. For the Learning of Mathematics, 38(3), 25–29. https://www.jstor.org/stable/26548508
Le, T. T., Pham, A. G., & Nguyen, T. T. (2021). Applying realistic mathematics education theory in teaching: some challenges, principles and recommendations. Vietnam Journal of Education, 494(2), 37–43. https://tcgd.tapchigiaoduc.edu.vn/index.php/tapchi/article/view/22
Loc, N. P., Tran, N., & Tien, T. (2020). Approach To Realistic Mathematics Education In Teaching Mathematics: A Case Of Cosine Theorem-Geometry 10. International Journal of Scientific & Technology Research, 8, 1173–1178. www.ijstr.org
Lonjedo Vicent, Huerta Palau, & Carles Farina. (2012). CONDITIONAL+PROBABILITY+PROBLEMS+IN+TEXTBOOKS+AN+EXAMPLE+FROM+SPAIN. Revista Latinoamericana De Investigación En Matemática Educativa, 15(3), 319–337. https://www.scielo.org.mx/pdf/relime/v15n3/v15n3a4.pdf
Nguyen, A. Q. (2022). Teaching conditional probability in grade 12 according to the general education curriculum in mathematics in 2018. Vietnam Journal of Educational Sciences, No. 11, November 2022, 40–46. https://doi.org/DOI:https://doi.org/10.15625/2615-8957/12211107
Nguyen, D. N. (2020). Some problems in realistic mathematics education. Vietnam Journal of Education, 487(1), 15–21. https://mysite.tnu.edu.vn/files/users/nguyendanhnam/487_Nguyn_Danh_Nam.pdf
Nguyen, T. T. T., & Quach, T. Sen. (2023). Some methods of teaching statistic and probability topics for 6th grade students with the support of information technology. Vietnam Journal of Educational Sciences, 19(No. 7, July 2023), 27–34. https://doi.org/10.15625/2615-8957/12310705
Nguyen, T. T., Trinh, T. P. T., Ngo, H. T. V., Hoang, N. A., Tran, T., Pham, H. H., & Bui, V. N. (2020). Realistic mathematics education in Vietnam: Recent policies and practices. International Journal of Education and Practice, 8(1), 57–71. https://doi.org/10.18488/journal.61.2020.81.57.71
Shao, X. (2015). An analysis of difficulties in learning Probability in high school. 7th ICMI-East Asia Regional Conference on Mathematics Education, 561–568. https://mathted.weebly.com/uploads/7/8/5/0/7850000/pp_561_shao_xiayan__final_paper_edited.pdf
Streefland, L. (1985). Wiskunde als activiteit en de realiteit als bron (Mathematics as an activity and reality as a source). Nieuwe Wiskrant, 5(1), 60–67. http://www.fisme.science.uu.nl/wiskrant/artikelen/artikelen00-10/051/0501september_streefland.pdf
Tomlinson, S., & Quinn, R. (1997). Understanding Conditional Probability. Teaching Statistics, 19(1), 2–7. https://doi.org/10.1111/j.1467-9639.1997.tb00309.x
Tran, T. T. H., & Tran, C. (2021). POTENTIAL OF APPLYING REALISTIC MATHEMATICS EDUCATION TO THE TEACHING OF PROBABILITY - STATISTICS AT THE UNIVERSITIES OF MEDICINE AND PHARMACY. Journal of Science Educational Science, 66(5), 209–216. https://doi.org/10.18173/2354-1075.2021-0249
Treffers, A. (1987). Three dimensions. A model of goal and theory description in mathematics instruction: The Wiskobas Project. Springer Dordrecht.
Treffers, A. (1991). Didactical background of a mathematics program for primary education. In: L. Streefland (ed.). Realistic mathematics education in primary school. In Realistic mathematics education in primary school (pp. 21–56). CDß press / Freudenthal Institute, Utrecht University, Utrecht, The Netherlands. https://www.fisme.science.uu.nl/publicaties/literatuur/1991_streefland_0-209.pdf
Van Den Heuvel-Panhuizen, M. (2000). Mathematics education in the Netherlands: A guided tour 1. Freudenthal Institute CD-rom for International Commission on Mathematics Education (ICME) 9. https://p4mriunismuh.wordpress.com/wp-content/uploads/2010/08/mathematics-education-in-the-netherlands.pdf
Van Den Heuvel-Panhuizen, M. (2003). The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54(1), 9–35. https://doi.org/10.1023/B:EDUC.0000005212.03219.dc
Van Den Heuvel-Panhuizen, M. (2005). The role of contexts in assessment problems in mathematics. For the Learning of Mathematics, 25(2), 2–23.
Van den Heuvel-Panhuizen, M., & Drijvers, P. (2014). Realistic Mathematics Education. In Encyclopedia of Mathematics Education (pp. 521–525). Springer Netherlands. https://doi.org/10.1007/978-94-007-4978-8_170
Van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic Mathematics Education. In Encyclopedia of Mathematics Education (pp. 713–717). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_170
Vietnam Ministry of Education and Training. (2018). Mathematics General Education Curriculum of Vietnam (32/2018/TT-BGDĐT).
Yackel, E., Stephan, M., Rasmussen, C., & Underwood, D. (2003). Didactising: Continuing the work of Leen Streefland. Educational Studies in Mathematics, 54(1), 101–126. https://doi.org/10.1023/B:EDUC.0000005213.85018.34
Zulkardi. (2010). How to Design Mathematics Lessons based on the Realistic Approach? http://repository.unsri.ac.id/id/eprint/6362