Mathematical Constructs – What are These, and Their Interconnection with Ethnomathematical Concepts

Isaac Owusu-Darko, Henry Kwami Apoenchir, Justice Yawson Mensah

Abstract


The interconnection of ethnomathematical concepts in connection to school formal mathematical construction is viewed by many mathematics educators with a different interpretation. Some consider mathematical construct to connote the content discussion on mathematical construction as a topic relating to Euclidean geometry. To some, a mathematical construct is the concept frame that serves the bases of the topic taught. We discuss a few reviews of selected mathematical constructs from formal teaching position in connection to ethnomathematical construction from the informal position. Mathematical construct is viewed as the topical concepts that govern the understanding of problem-solving skills and the mathematical topic the teacher facilitates and introduces to students. To some extent, mathematical problem-solving skills is best executed under routine and non-routine procedures when constructs and concepts are best understood. The study adopted the qualitative research design to investigate some existing mathematical concepts portrayed in the teaching of secondary mathematical concepts adopted from the Ghanaian syllabus under Akan ethnomathematics. A content analyses is given in the perspective of Akan ethnomathematics for the selected Ghanaian standard secondary based syllabus. The study revealed that, mathematical construction can be better understood in the context of Akan ethnomathematics not only on geometry, but algebra, calculus and other measurement and timelines. It is recommended that mathematics educators integrate ethnomathematics education in the teaching and learning of formal westernized mathematics teaching in the curriculum implementation process.

Keywords


Curriculum Implementation; Ethnomathematics; Mathematical Concept; Mathematical Construct; Problem-Solving

Full Text:

PDF

References


Abadi, M. K., Asih, E. C. M., & Jupri, A. (2018). The development of interactive mathematics learning material based on local wisdom with. swf format. Journal of Physics: Conference Series, 1013(1), 012131.

Akbar, M. N., Firman, H., & Rusyati, L. (2017, February). Developing science virtual test to measure students’ critical thinking on living things and environmental sustainability theme. Journal of Physics: Conference Series, 812(1), 012106.

Anggraini, P., & Kusniarti, T. (2015). The insertion of local wisdom into instructional materials of Bahasa Indonesia for 10th grade students in senior high school. Journal of Education and Practice (JEP), 6(3), 89-92.

Bishop, A. J. (1998). Ethnomathematics-challenging Eurocentrism in mathematics education. Zentralblatt fur Didaktik der Mathematik (International Reviews on Mathematics Education), 146-148.

Blomeke, S., Felbrich, A., Muller, C., Kaiser, G., & Lehmann, R. (2008). Effectiveness of teacher education. ZDM-The International Journal on Mathematics Education, 40, 719-734.

Clements, D. H. (2008). Linking research and curriculum development. In Handbook of International Research in Mathematics Education (pp. 589–625). Routledge.

D’Ambrosio, U. (1985). Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, 2(1), 57-96.

Davis, E. K. (2016). Cultural influences on Ghanaian primary school pupils’ conceptions in measurement and division of fractions. African Journal of Educational Studies in Mathematics and Sciences, 12, 1-16.

Davis, E. K., & Hishashi, K. (2007). Country Report - Children. Paper presented at the Third workshop on the international research project towards Endogenous Development of Mathematics Education, Tokyo, Japan.

Davis, E. K., Bishop, A. J., & Seah, W. T. (2009). Gaps between inside school and out-of-school mathematics in Ghana. Mathematics Connection, 8, 1-15.

Depaepe, F., De Corte E., & Verschaffel, L. (2016). Mathematics Epistemology Beliefs: Handbook of Epistemic Cognition. Taylors and Francis.

Devkota, S. P. (2013). Ethnomathematics and multiculturalism. Open Science Repository Mathematics, (open-access), e70081969.

Farooq, M., & Shah, S. (2008). Students' attitude towards mathematics. Pakistan Economic and Social Review, 46(1), 75-83.

Feucht, F., & Bendixen, L. D. (2010). Exploring similarities and differences in personal epistemologies of U.S and German elementary school teachers. Cognition and Instruction, 28, 39-69.

Galindo, E., & Newton, J. (2017). Synergy at the Crossroads: Future Directions for Theory, Research, and Practice. Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (39th, Indianapolis, Indiana, October 5-8, 2017). North American Chapter of the International Group for the Psychology of Mathematics Education.

Karki, L. B. (2017). Basic Mathematical Concepts Practiced by Danuwar Community (Doctoral dissertation, Department of Mathematics Education Central Department of Education).

Kunter, M., Klusmann, U., Baumert, J., Richter, D., Voss, T., & Hachfield, A. (2013). Professional competence of teachers: Effects on instructional quality and students’ development. Journal of Mathematics Teacher Education, 7, 473-499.

MacDonald, R., Lord, S., & Miller, E. (2019). Doing and talking mathematics: Engaging ELLs in the academic discourse of the mathematical practices. In Teaching the Content Areas to English Language Learners in Secondary Schools (pp. 119-133). Springer, Cham.

Mokgwathi, M. S., Graham, M. A., & Fraser, W. (2019). The relationship between grade 9 teacher’s and learner’s perceptions and attitudes with their mathematics achievement. International Journal of Instruction, 12(1), 841-850.

Mahpudin, M., & Sunanto, L. (2019). Ethnomathematics an alternative in the development of multicultural education at the primary school. Social, Humanities, and Educational Studies (SHEs): Conference Series, 1(2), 269-273.

Mereku, D. K., (2004). Mathematics Curriculum Implementation in Ghana 2nd ed. Accra: Danjoe.

Mereku, D. K., Nabie, M. J., Awanta, E., & Appiah, J. (2011). Report on the Workshop on Use of Child Friendly Pedagogy in Teaching JHS Mathematics. Accra: Plan International Ghana

Ministry of Education (MOE). (2012). Mathematics Syllabus for Primary Schools. Ghana

McKenney, S., & Reeves, T. C. (2014). Educational design research. In Spector J., Merrill M., Elen J., Bishop M. (Eds.), Handbook of Research on Educational Communications and Technology (pp. 131-140). New York: Springer.

Ní Ríordáin, M., Paolucci, C., & Lyons, T. (2019). Teacher professional competence: What can be learned about the knowledge and practices needed for teaching?. In Examining the phenomenon of “Teaching out-of-field” (pp. 129-149). Springer, Singapore.

Ormanci, U., & Cepni, S. (2019). A thematic review of tablet-based science education studies. Journal of Education in Science, Environment and Health (JESEH), 5(1), 36-54.

Peni, N. R. (2019). Development framework of ethnomathematics curriculum through realistic mathematics education approach. IOSR Journal of Research & Method in Education (IOSR-JRME), 9(4), 16–24.

Rivera, F., & Becker, J. R. (2008). Ethnomathematics in the global episteme: Quo vadis? Internationalisation and Globalisation in Mathematics and Science Education, 209–225. Springer Science.

Russo, J., & Hopkins, S. (2019). Teachers’ perceptions of students when observing lessons involving challenging tasks. International Journal of Science and Mathematics Education, 17(4), 759-779.

Staub, F. C., & Stern, E. (1997). Abstract reasoning with mathematical constructs. International Journal of Educational Research, 27(1), 63-75.

Sutisna, A. P., Budi, A. S., & Noornia, A. (2019). The Influence of the Realistic Mathematics Education Approach and Early Mathematical Ability to Mathematical Literacy. Int. J. Multidiscip. Curr. Res.

Sutisna, A. P., Budi, A. S., & Noornia, A. (2019). The influence of the realistic mathematics education approach and early mathematical ability to mathematical literacy. International Journal Multidisciplinary Current Research, 6, 798-801.

Widada, W., Herawaty, D., & Lubis, A. N. M. T. (2018). Realistic mathematics learning based on the ethnomathematics in Bengkulu to improve students’ cognitive level. Journal of Physics: Conference Series, 1088(1), 012028.

Zhang, J., Zhang, Z., & Ma, F. (2014). Automatic Generation of Combinatorial Test Data. Springer Berlin Heidelberg.


Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.


Indonesian Journal of Ethnomathematics

Indonesian Mathematics Educators Society
Jl. Terusan Jend. Sudirman, Kec. Cimahi Tengah, Kota Cimahi, Jawa Barat 40521
E-mail: ije@i-mes.org


p-ISSN: 2775-8001 | e-ISSN: YYYY-YYYY


View My Stats