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References
- Albert, L. R., Corea, D., & Macadino, V. (2012). Rhetorical ways of thinking: Vygotskian theory and mathematical learning. Springer. https://doi.org/10.1007/978-94-007-4065-5
- Andrade-Molina, M. (2021). Narratives of success: Enabling all students to excel in the global world. Research in Mathematics Education, 23(3), 293-305. https://doi.org/10.1080/14794802.2021.1994453
- Azid, N., Ali, R. M., El Khuluqo, I., Purwanto, S. E., & Susanti, E. N. (2022). Higher order thinking skills, school-based assessment and students' mathematics achievement: Understanding teachers' thoughts. International Journal of Evaluation and Research in Education, 11(1), 290-302. https://doi.org/10.11591/ijere.v11i1.22030
- Bai, Y., Liang, H., Qi, C., & Zuo, S. (2023). An assessment of eighth graders’ mathematics higher order thinking skills in the Chinese context. Canadian Journal of Science, Mathematics and Technology Education, 23(2), 365-382. https://doi.org/10.1007/s42330-023-00279-w
- BCSEA. (2019). Education in Bhutan Findings from Bhutan’s experience in PISA for Development. http://www.education.gov.bt/wp-content/uploads/2021/09/Bhutan-PISA-D-National-Report.pdf
- Bengtsson, M. (2016). How to plan and perform a qualitative study using content analysis. NursingPlus Open, 2, 8-14. https://doi.org/10.1016/j.npls.2016.01.001
- Bermejo, V., Ester, P., & Morales, I. (2021). A constructivist intervention program for the improvement of mathematical performance based on empiric developmental results (PEIM). Frontiers in Psychology, 11, 582805. http://dx.doi.org/10.3389/fpsyg.2020.582805
- Brooks, J. G., & Brooks, M. G. (1999). In search of understanding: The case for constructivist classrooms. ASCD. https://www.google.co.th/books/edition/In_Search_of_Understanding/9W_VB5TjxxoC?hl=en&gbpv=1
- Cahyaningsih, U., Nahdi, D. S., Jatisunda, M. G., & Suciawati, V. (2021). Student’s mathematical problem-solving ability with mathematical resilience and metacognition skills: A quantitative analysis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), 2591-2601. https://doi.org/10.24127/ajpm.v10i4.4366
- Chinofunga, M. D., Chigeza, P., & Taylor, S. (2024). How can procedural flowcharts support the development of mathematics problem-solving skills?. Mathematics Education Research Journal, 1-39. https://doi.org/10.1007/s13394-024-00483-3
- DeJaeghere, J., Duong, B.-H., & Dao, V. (2023). Quality of teaching and learning: The role of metacognitive teaching strategies in higher-performing classrooms in Vietnam. Educational Research for Policy and Practice, 1-20. http://dx.doi.org/10.1007/s10671-023-09330-x
- Department of Curriculum and Professional Development (2022). Mathematics Curriculum Framework.Classess PP-XII. Ministry of Education Royal Government of Bhutan. https://rec.gov.bt/curriculum-frameworks/
- Dignath, C., & Büttner, G. (2018). Teachers’ direct and indirect promotion of self-regulated learning in primary and secondary school mathematics classes–insights from video-based classroom observations and teacher interviews. Metacognition and Learning, 13, 127-157. https://doi.org/10.1007/s11409-018-9181-x
- Dorji, K., Giri, N., Penjor, T., & Rinchen, S. (2021). Factors influencing the performance of students in mathematics subject in the Bhutanese school education system. Interdisciplinary Journal of Applied and Basic Subjects, 1(6), 35-51. http://dx.doi.org/10.57125/fed.2024.06.25.03
- Flavell, J. H. (1985). Cognitive Development (2nd ed. ed.). Prentice-Hall.
- Garofalo, J., & Lester, F. K. (1985). Metacognition, cognitive monitoring, and mathematical performance. Journal for Research in Mathematics Education, 16(3), 163-176. https://doi.org/10.2307/748391
- Goodman, R. I., Fletcher, K. A., & Schneider, E. W. (1980). The effectiveness index as a comparative measure in media product evaluations. Educational Technology, 20(9), 30-34. https://www.jstor.org/stable/44422467
- Gredler, M. E. (2009). Learning and instruction: Theory into practice (6th ed.). Macmillan.
- Joyce, B. R., & Weil, M. (1996). Models of teaching (5th ed.). Allyn and Bacon.
- Kesici, A. E., Güvercin, D., & Küçükakça, H. (2021). Metacognition researches in Turkey, Japan, and Singapore. International Journal of Evaluation and Research in Education, 10(2), 535-544. https://doi.org/10.11591/ijere.v10i2.20790
- Kozel, L., Cotic, M., & Doz, D. (2023). Cognitive-constructivist model and the acquisition of mathematics knowledge according to Gagné’s taxonomy. Cypriot Journal of Educational Sciences, 18(1), 175-198. https://doi.org/10.18844/cjes.v10i4.154
- Lan, N., & Thi, N. (2020). Metacognitive skills with mathematical problem-solving of secondary school students in Vietnam-A case study. Universal Journal of Educational Research, 8(12A), 7461-7478. https://doi.org/10.13189/ujer.2020.082530
- Lee, N. H., Ng, K. E. D., & Yeo, J. B. (2019). Metacognition in the teaching and learning of mathematics. Mathematics Education in Singapore, 241-268. https://doi.org/10.1007/978-981-13-3573-0_11
- Lithner, J. (2015). Learning mathematics by creative or imitative reasoning. In Selected regular lectures from the 12th International Congress on Mathematical Education (pp. 487-506). Springer International Publishing. https://doi.org/10.1007/978-3-319-17187-6_28
- Masingila, J. O., Olanoff, D., & Kimani, P. M. (2018). Mathematical knowledge for teaching teachers: Knowledge used and developed by mathematics teacher educators in learning to teach via problem solving. Journal of Mathematics Teacher Education, 21, 429-450. https://doi.org/10.1007/s42330-023-00279-w
- Mevarech, Z. R., & Kramarski, B. (1997). IMPROVE: A multidimensional method for teaching mathematics in heterogeneous classrooms. American Educational Research Journal, 34(2), 365-394. https://www.jstor.org/stable/1163362
- MoE. (2014). Bhutan education blueprint 2014–2024: Rethinking education. In: Policy and Planning Division, Ministry of Education Thimphu. http://www.education.gov.bt/?p=7669
- National Council of Teachers of Mathematics. (1995). Assessment standards for school mathematics. NCTM
- NCTM. (2014). Principles to actions ensuring mathematical success for all. NCTM
- Newton, K., & Sword, S. (2018). Mathematical learning and understanding in education. Routledge. https://doi.org/10.4324/9781315537443
- Ngussa, B. M., & Makewa, L. N. (2014). Constructivism experiences in teaching-learning transaction among adventist secondary schools in South Nyanza, Tanzania. American Journal of Educational Research, 2(11A), 1-7. https://doi.org/10.12691/education-2-11a-1
- Oxford, R. L. (1997). Constructivism: Shape-shifting, substance, and teacher education applications. Peabody Journal of Education, 72(1), 35-66. https://www.jstor.org/stable/1493260
- Özsoy, G. (2011). An investigation of the relationship between metacognition and mathematics achievement. Asia Pacific Education Review, 12, 227-235. https://doi.org/10.1007/s12564-010-9129-6
- Phillips, D. C. (2000). Chapter I: An opinionated account of the constructivist landscape. Teachers College Record, 102(7), 1-16. https://doi.org/10.1177/016146810010200701
- Polya, G. (1945). How to solve it: A new aspect of mathematical method. Princeton University Press. https://doi.org/10.1515/9781400828678
- Reigeluth, C. M. (2013). Instructional-design theories and models: A new paradigm of instructional theory, Volume II. Routledge. https://doi.org/10.4324/9781410603784
- Rezaei, A. R. (2018). Effective groupwork strategies: Faculty and students' perspectives. Journal of Education and Learning, 7(5), 1-10. https://doi.org/doi:10.5539/jel.v7n5p1
- Schoenfeld, A. H. (1980). Teaching problem-solving skills. The American Mathematical Monthly, 87(10), 794-805. https://doi.org/10.2307/2320787
- Schoenfeld, A. H. (2016). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. Journal of Education, 196(2), 1-38. https://doi.org/10.1177/002205741619600202
- Seibert, S. A. (2021). Problem-based learning: A strategy to foster generation Z's critical thinking and perseverance. Teaching and Learning in Nursing, 16(1), 85-88. https://doi.org/10.1016/j.teln.2020.09.002
- Semerci, Ç., & Batdi, V. (2015). A meta-analysis of constructivist learning approach on learners' academic achievements, retention and attitudes. Journal of Education and Training Studies, 3(2), 171-180. http://dx.doi.org/10.11114/jets.v3i2.644
- Shvarts, A. (2022). Book Review: Transforming mathematics education: from embodied experiences to an ethical commitment. Luis Radford (2021) The theory of objectification: a Vygotskian perspective on knowing and becoming in mathematics teaching and learning. Educational Studies in Mathematics, 109, 677–686. https://doi.org/10.1007/s10649-021-10095-4
- Sriraman, B., & English, L. D. (2010). Theories of mathematics education: Seeking new frontiers. Springer. https://doi.org/10.1007/978-3-642-00742-2
- Van de Walle, J. (2007). Elementary and middle school mathematics: Teaching developmentally (6th ed.). Pearson Education.
- Vong, S. A., & Kaewurai, W. (2017). Instructional model development to enhance critical thinking and critical thinking teaching ability of trainee students at regional teaching training center in Takeo province, Cambodia. Kasetsart Journal of Social Sciences, 38(1), 88-95. https://doi.org/10.1016/j.kjss.2016.05.002
- Wen, P. (2018). Application of Bruner's learning theory in mathematics studies. In International Conference on Contemporary Education, Social Sciences and Ecological Studies (CESSES 2018) (pp. 234-237). Atlantis Press. https://doi.org/10.2991/cesses-18.2018.53
- Yu, R., & Singh, K. (2018). Teacher support, instructional practices, student motivation, and mathematics achievement in high school. The Journal of Educational Research, 111(1), 81-94. https://www.jstor.org/stable/10.2307/26586798
- Zajda, J. (2021). Globalisation and education reforms: Creating effective learning environments (Vol. 25). Springer. https://doi.org/10.1007/978-3-030-71575-5_3
References
Albert, L. R., Corea, D., & Macadino, V. (2012). Rhetorical ways of thinking: Vygotskian theory and mathematical learning. Springer. https://doi.org/10.1007/978-94-007-4065-5
Andrade-Molina, M. (2021). Narratives of success: Enabling all students to excel in the global world. Research in Mathematics Education, 23(3), 293-305. https://doi.org/10.1080/14794802.2021.1994453
Azid, N., Ali, R. M., El Khuluqo, I., Purwanto, S. E., & Susanti, E. N. (2022). Higher order thinking skills, school-based assessment and students' mathematics achievement: Understanding teachers' thoughts. International Journal of Evaluation and Research in Education, 11(1), 290-302. https://doi.org/10.11591/ijere.v11i1.22030
Bai, Y., Liang, H., Qi, C., & Zuo, S. (2023). An assessment of eighth graders’ mathematics higher order thinking skills in the Chinese context. Canadian Journal of Science, Mathematics and Technology Education, 23(2), 365-382. https://doi.org/10.1007/s42330-023-00279-w
BCSEA. (2019). Education in Bhutan Findings from Bhutan’s experience in PISA for Development. http://www.education.gov.bt/wp-content/uploads/2021/09/Bhutan-PISA-D-National-Report.pdf
Bengtsson, M. (2016). How to plan and perform a qualitative study using content analysis. NursingPlus Open, 2, 8-14. https://doi.org/10.1016/j.npls.2016.01.001
Bermejo, V., Ester, P., & Morales, I. (2021). A constructivist intervention program for the improvement of mathematical performance based on empiric developmental results (PEIM). Frontiers in Psychology, 11, 582805. http://dx.doi.org/10.3389/fpsyg.2020.582805
Brooks, J. G., & Brooks, M. G. (1999). In search of understanding: The case for constructivist classrooms. ASCD. https://www.google.co.th/books/edition/In_Search_of_Understanding/9W_VB5TjxxoC?hl=en&gbpv=1
Cahyaningsih, U., Nahdi, D. S., Jatisunda, M. G., & Suciawati, V. (2021). Student’s mathematical problem-solving ability with mathematical resilience and metacognition skills: A quantitative analysis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), 2591-2601. https://doi.org/10.24127/ajpm.v10i4.4366
Chinofunga, M. D., Chigeza, P., & Taylor, S. (2024). How can procedural flowcharts support the development of mathematics problem-solving skills?. Mathematics Education Research Journal, 1-39. https://doi.org/10.1007/s13394-024-00483-3
DeJaeghere, J., Duong, B.-H., & Dao, V. (2023). Quality of teaching and learning: The role of metacognitive teaching strategies in higher-performing classrooms in Vietnam. Educational Research for Policy and Practice, 1-20. http://dx.doi.org/10.1007/s10671-023-09330-x
Department of Curriculum and Professional Development (2022). Mathematics Curriculum Framework.Classess PP-XII. Ministry of Education Royal Government of Bhutan. https://rec.gov.bt/curriculum-frameworks/
Dignath, C., & Büttner, G. (2018). Teachers’ direct and indirect promotion of self-regulated learning in primary and secondary school mathematics classes–insights from video-based classroom observations and teacher interviews. Metacognition and Learning, 13, 127-157. https://doi.org/10.1007/s11409-018-9181-x
Dorji, K., Giri, N., Penjor, T., & Rinchen, S. (2021). Factors influencing the performance of students in mathematics subject in the Bhutanese school education system. Interdisciplinary Journal of Applied and Basic Subjects, 1(6), 35-51. http://dx.doi.org/10.57125/fed.2024.06.25.03
Flavell, J. H. (1985). Cognitive Development (2nd ed. ed.). Prentice-Hall.
Garofalo, J., & Lester, F. K. (1985). Metacognition, cognitive monitoring, and mathematical performance. Journal for Research in Mathematics Education, 16(3), 163-176. https://doi.org/10.2307/748391
Goodman, R. I., Fletcher, K. A., & Schneider, E. W. (1980). The effectiveness index as a comparative measure in media product evaluations. Educational Technology, 20(9), 30-34. https://www.jstor.org/stable/44422467
Gredler, M. E. (2009). Learning and instruction: Theory into practice (6th ed.). Macmillan.
Joyce, B. R., & Weil, M. (1996). Models of teaching (5th ed.). Allyn and Bacon.
Kesici, A. E., Güvercin, D., & Küçükakça, H. (2021). Metacognition researches in Turkey, Japan, and Singapore. International Journal of Evaluation and Research in Education, 10(2), 535-544. https://doi.org/10.11591/ijere.v10i2.20790
Kozel, L., Cotic, M., & Doz, D. (2023). Cognitive-constructivist model and the acquisition of mathematics knowledge according to Gagné’s taxonomy. Cypriot Journal of Educational Sciences, 18(1), 175-198. https://doi.org/10.18844/cjes.v10i4.154
Lan, N., & Thi, N. (2020). Metacognitive skills with mathematical problem-solving of secondary school students in Vietnam-A case study. Universal Journal of Educational Research, 8(12A), 7461-7478. https://doi.org/10.13189/ujer.2020.082530
Lee, N. H., Ng, K. E. D., & Yeo, J. B. (2019). Metacognition in the teaching and learning of mathematics. Mathematics Education in Singapore, 241-268. https://doi.org/10.1007/978-981-13-3573-0_11
Lithner, J. (2015). Learning mathematics by creative or imitative reasoning. In Selected regular lectures from the 12th International Congress on Mathematical Education (pp. 487-506). Springer International Publishing. https://doi.org/10.1007/978-3-319-17187-6_28
Masingila, J. O., Olanoff, D., & Kimani, P. M. (2018). Mathematical knowledge for teaching teachers: Knowledge used and developed by mathematics teacher educators in learning to teach via problem solving. Journal of Mathematics Teacher Education, 21, 429-450. https://doi.org/10.1007/s42330-023-00279-w
Mevarech, Z. R., & Kramarski, B. (1997). IMPROVE: A multidimensional method for teaching mathematics in heterogeneous classrooms. American Educational Research Journal, 34(2), 365-394. https://www.jstor.org/stable/1163362
MoE. (2014). Bhutan education blueprint 2014–2024: Rethinking education. In: Policy and Planning Division, Ministry of Education Thimphu. http://www.education.gov.bt/?p=7669
National Council of Teachers of Mathematics. (1995). Assessment standards for school mathematics. NCTM
NCTM. (2014). Principles to actions ensuring mathematical success for all. NCTM
Newton, K., & Sword, S. (2018). Mathematical learning and understanding in education. Routledge. https://doi.org/10.4324/9781315537443
Ngussa, B. M., & Makewa, L. N. (2014). Constructivism experiences in teaching-learning transaction among adventist secondary schools in South Nyanza, Tanzania. American Journal of Educational Research, 2(11A), 1-7. https://doi.org/10.12691/education-2-11a-1
Oxford, R. L. (1997). Constructivism: Shape-shifting, substance, and teacher education applications. Peabody Journal of Education, 72(1), 35-66. https://www.jstor.org/stable/1493260
Özsoy, G. (2011). An investigation of the relationship between metacognition and mathematics achievement. Asia Pacific Education Review, 12, 227-235. https://doi.org/10.1007/s12564-010-9129-6
Phillips, D. C. (2000). Chapter I: An opinionated account of the constructivist landscape. Teachers College Record, 102(7), 1-16. https://doi.org/10.1177/016146810010200701
Polya, G. (1945). How to solve it: A new aspect of mathematical method. Princeton University Press. https://doi.org/10.1515/9781400828678
Reigeluth, C. M. (2013). Instructional-design theories and models: A new paradigm of instructional theory, Volume II. Routledge. https://doi.org/10.4324/9781410603784
Rezaei, A. R. (2018). Effective groupwork strategies: Faculty and students' perspectives. Journal of Education and Learning, 7(5), 1-10. https://doi.org/doi:10.5539/jel.v7n5p1
Schoenfeld, A. H. (1980). Teaching problem-solving skills. The American Mathematical Monthly, 87(10), 794-805. https://doi.org/10.2307/2320787
Schoenfeld, A. H. (2016). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. Journal of Education, 196(2), 1-38. https://doi.org/10.1177/002205741619600202
Seibert, S. A. (2021). Problem-based learning: A strategy to foster generation Z's critical thinking and perseverance. Teaching and Learning in Nursing, 16(1), 85-88. https://doi.org/10.1016/j.teln.2020.09.002
Semerci, Ç., & Batdi, V. (2015). A meta-analysis of constructivist learning approach on learners' academic achievements, retention and attitudes. Journal of Education and Training Studies, 3(2), 171-180. http://dx.doi.org/10.11114/jets.v3i2.644
Shvarts, A. (2022). Book Review: Transforming mathematics education: from embodied experiences to an ethical commitment. Luis Radford (2021) The theory of objectification: a Vygotskian perspective on knowing and becoming in mathematics teaching and learning. Educational Studies in Mathematics, 109, 677–686. https://doi.org/10.1007/s10649-021-10095-4
Sriraman, B., & English, L. D. (2010). Theories of mathematics education: Seeking new frontiers. Springer. https://doi.org/10.1007/978-3-642-00742-2
Van de Walle, J. (2007). Elementary and middle school mathematics: Teaching developmentally (6th ed.). Pearson Education.
Vong, S. A., & Kaewurai, W. (2017). Instructional model development to enhance critical thinking and critical thinking teaching ability of trainee students at regional teaching training center in Takeo province, Cambodia. Kasetsart Journal of Social Sciences, 38(1), 88-95. https://doi.org/10.1016/j.kjss.2016.05.002
Wen, P. (2018). Application of Bruner's learning theory in mathematics studies. In International Conference on Contemporary Education, Social Sciences and Ecological Studies (CESSES 2018) (pp. 234-237). Atlantis Press. https://doi.org/10.2991/cesses-18.2018.53
Yu, R., & Singh, K. (2018). Teacher support, instructional practices, student motivation, and mathematics achievement in high school. The Journal of Educational Research, 111(1), 81-94. https://www.jstor.org/stable/10.2307/26586798
Zajda, J. (2021). Globalisation and education reforms: Creating effective learning environments (Vol. 25). Springer. https://doi.org/10.1007/978-3-030-71575-5_3