logo logo International Journal of Educational Methodology

IJEM is a leading, peer-reviewed, open access, research journal that provides an online forum for studies in education, by and for scholars and practitioners, worldwide.

Subscribe to

Receive Email Alerts

for special events, calls for papers, and professional development opportunities.

Subscribe

Publisher (HQ)

RHAPSODE LTD
Eurasian Society of Educational Research
College House, 2nd Floor 17 King Edwards Road, Ruislip, London, UK. HA4 7AE
RHAPSODE LTD
Headquarters
College House, 2nd Floor 17 King Edwards Road, Ruislip, London, UK. HA4 7AE
21st century skills constructivist grounded theory i do we do you do try understand apply mastered tuam

Analysing Teachers’ Perception of the Try-Understand-Apply-Mastered Discovery Learning Processes in Vanuatu Using the Constructivist Grounded Theory Approach

Kency Obed Sawah , Satoshi Kusaka

Internal and external assessment instruments, such as the Vanuatu Standard Test of Achievements (VANSTA) and the Pacific Island Literacy and Numeracy .

I

Internal and external assessment instruments, such as the Vanuatu Standard Test of Achievements (VANSTA) and the Pacific Island Literacy and Numeracy Assessment (PILNA), reveal that mathematics achievements in the Republic of Vanuatu remain below the minimum standard. This study drew on the constructivist grounded theory approach to explore teachers' perspectives of the learning and teaching processes in mathematics education in the Republic of Vanuatu. Specifically, the focus was on the ‘I do-we do-you do’ approach of teaching, which is common in mathematics education in the country. Teachers' opinions about the current situation of mathematics education and possibilities for improving it were extracted using semi-structured interviews with 22 teachers from two randomly selected urban schools. Based on the constructivist grounded theory analysis, four major interlink themes were found. Overall, the findings show that mathematics achievements in the country can be improved through proven discovery-learning strategies for stimulating students' mathematical thinking in the 21st century, such as the ‘try-understand-apply-mastered’ (TUAM) discovery learning process.

Keywords: 21st century skills, constructivist grounded theory, I do–we do–you do, try-understand-apply-mastered (TUAM).

cloud_download PDF
Cite
Article Metrics
Views
174
Download
428
Citations
Crossref
2

Scopus
1

References

Ailincai, R., & Gabillon, Z. (2018). Analysing teachers’ representations of digital technology using a grounded theory approach. EURASIA Journal of Mathematics, Science and Technology Education, 14(10), Article em1595. https://doi.org/10.29333/ejmste/93380

Akcanca, N. (2020). 21st century skills: The predictive role of attitudes regarding STEM education and problem-based learning. International Journal of Progressive Education, 16(5), 443–458. https://doi.org/10.29329/ijpe.2020.277.27

Alfieri, L., Brooks, P. J., Aldrich, N. J., & Tenenbaum, H. R. (2011). Does discovery-based instruction enhance learning? Journal of Educational Psychology, 103(1), 1–18. https://doi.org/10.1037/a0021017

Asmuss, S., & Budkina, N. (2009). Counterexamples in multivariable differential calculus. In M. Lepik (Ed.), Proceedings of the 10th International Conference Teaching Mathematics: Retrospective and Perspectives (pp. 129–136). Tallinn University. https://l24.im/7px3m  

Baker, W., Czarnocha, B., Dias, O., & Prabhu, V. (2012). Problem-solving in remedial mathematics: A jumpstart to reform. In M. S. Trigo, Z. Gooya, M. G. Park, C. Jiang, & D. Jaguthsing (Eds.), 12th International Congress on Mathematical Education, Mathematical Problem Solving (pp. 60–71). International Mathematics Union.

Bakker, A. (2018). Discovery learning: Zobia, phonix, or elephant? Instructional Science, 46, 169–183 https://doi.org/10.1007/s11251-018-9450-8 

Bergeson, T., Fitton, R., Bylsma, P., Neitzel, B., & Stine, M. A. (2000). Teaching and learning mathematics: Using research to shift from the “yesterday” mind to the “tomorrow” mind. Washington Office of Superintendent of Public Instruction. https://bit.ly/3XQLWKY

Byun, H., Lee, J., & Cerreto, F. A. (2014). Relative effects of three questioning strategies in ill-structured, small group problem solving. Instructional Science, 42, 229–250. https://doi.org/10.1007/s11251-013-9278-1

Cai, J., & Howson, G. (2012). Toward an International Mathematics Curriculum. In M. A. K. Clements, A. J. Bishop, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.), Third international handbook of mathematics education (pp. 949-947). Springer. https://doi.org/10.1007/978-1-4614-4684-2_29

Charmaz, K. (2014). Constructing grounded theory (2nd ed.). SAGE Publishing.

Cibulis, A., & Lapiņa, H. (2009). Practical work on series: Educational aspect. In M. Lepik (Ed.), Proceedings of the 10th International Conference – Teaching Mathematics: Retrospective and Perspectives (pp. 145–152). Institute of Mathematics and Natural Science, Tallinn University. https://l24.im/HioP0nB

Conclin, W. (2007). Instructional strategies for diverse learners (Professional development for successful classrooms). Shell education. https://bit.ly/3iJajeh

Darrow, A.-A., & Adamek, M. (2018). Instructional strategies for the inclusive music classroom. General Music Today, 31(3), 61–65. https://doi.org/10.1177/1048371318756625

Grevholm, B. (2009). Mathematics education research and education research in the Nordic countries. In M. Lepik (Ed.), Proceedings of the 10th International Conference – Teaching Mathematics: Retrospective and Perspectives (pp. 19–37). Institute of Mathematics and Natural Science, Tallinn University. https://l24.im/5mJaRz

Hachtmann, F. (2012). The process of general education reform from a faculty perspective: A grounded theory approach. The Journal of General Education, 61(1), 16–38. https://doi.org/10.1353/jge.2012.0007

Jaleniauskienė, E., & Jucevičienė, P. (2018). Educational system for the development of collaborative ill-structured problem-solving skills. Pedagogy/ Pedagogika, 132(4), 5–22. https://doi.org/10.15823/p.2018.132.1

Jambunathan, S., Jayaraman, J. D., Jayaraman, A., & Jayaraman, K. (2021). Is peer-led discovery-based learning effective in promoting leadership skills among middle school children? Evidence from India. Education 3-13, 49(4), 422–432. https://doi.org/10.1080/03004279.2020.1733041

Johansson, Y. A. (2012). An analysis of using Japanese problem-solving-oriented lesson structure in Swedish mathematics classroom discourse. In M. S. Trigo, Z. Gooya, M. G. Park, C. Jiang, & D. Jaguthsing (Eds.), 12th International Congress on Mathematical Education, Mathematical Problem Solving (pp. 142–151). International Mathematics Union.

Kaibe, Z., & Rācene, L. (2009). Repetition is the mother of knowledge. In M. Lepik (Ed.), Proceedings of the 10th International Conference – Teaching Mathematics: Retrospective and Perspectives (pp. 177–180). Institute of Mathematics and Natural Science, Tallinn University. https://l24.im/n1VEe  

Khwanchai, K., Tanthip, K., & Toansakul, S. (2017). An instructional design model with the cultivating research-based learning strategies for fostering teacher students' creative thinking abilities. Educational Research and Reviews, 12(15), 712–724. https://doi.org/10.5897/err2017.3239

Mayer, R. E. (2004). Should there be a three-strikes rule against pure discovery learning? The Case for Guided Methods of Instruction, 59(1), 14–19. https://doi.org/10.1037/0003-066X.59.1.14

Miatun, A., & Muntazhimah, M. (2018). The effect of discovery learning and problem-based learning on middle school students’ self-regulated learning. Journal of Physics: Conference Series, 948, Article 012021. https://doi.org/10.1088/1742-6596/948/1/012021

Miller, D. L., & Banes, B. (2012). The role of problem-based learning and problem-solving in the mathematical preparation for pre-service elementary teachers. In M. S. Trigo, Z. Gooya, M. G. Park, C. Jiang, & D. Jaguthsing (Eds.), 12th International Congress on Mathematical Education, Mathematical Problem Solving (pp. 30–39). International Mathematics Union.

Ministry of Education and Training - Republic of Vanuatu. (2018). Mathematics teacher's guide, year 4. Curriculum development unit, Republic of Vanuatu.

Ojose, B. (2008). Applying Piaget's theory of cognitive development to mathematics instruction. The Mathematics Educator, 18(1), 26–30. https://l24.im/iSmTM

Roughead, W. G., & Scandura, J. M. (1968). What is learned in mathematical discovery? Journal of Educational Psychology, 59(4), 283 - 289. https://doi.org/10.1037/h0020054

Sanga, K., Niroa, J., Matai, K., & Crowel, L. (Eds.). (2004). Re-thinking Vanuatu education together. Vanuatu Ministry of Education, Port Vila & Institute of Pacific Studies, University of the South Pacific. https://bit.ly/3Xg2pIt

Sinha, T., Kapur, M., West, R., Catasta, M., Hauswirth, M., & Trninic, D. (2021). Differential benefits of explicit failure-driven and success-driven scaffolding in problem-solving prior to instruction. Journal of Education Phycology, 113(3), 530–555. https://doi.org/10.1037/edu0000483

Strauss, A., & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory (2nd ed.). Sage.

Takahashi, A. (2006). Characteristics of Japanese mathematics lessons. Tsukuba Journal of Education Study in Mathematics, 25, 37-44. https://bit.ly/3XDkUpJ

Tan, O. S., Chye, S., & Teo, C. T. (2009). Problem-based learning and creativity: A review of the literature. In O.-S. Tan (Ed.), Problem-based learning and creativity (pp. 15-38). Cengage Learning.

Trninic, D. (2018). Instruction, repetition, discovery: Restoring the historical educational role of practice. Instructional Science, 46, 133–153. https://doi.org/10.1007/s11251-017-9443-z

...