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Achmad Hidayatullah


Mathematics Construction Concept, SOLO Theory, APOS Theory


Purpose of Study: To provide a deep understanding of learning of mathematics, it is necessary to make efforts to realize the conditions of students doing the construction of their understanding. There are many theories that describe thinking in constructing concepts in mathematics. By constructing their understanding, the students can be called doing meaningful learning as mentioned by Ausubel.

Methodology: This research used the comparative process of construct understanding of mathematics with SOLO and APOS theory. SOLO theory (Structure of the Observed Learning Outcome) has five parts namely pre-structural, uni-structural, multi-structural, relational, and extended abstract. While the theory of APOS (Action, Process, object, and Schema). The method used in this research is the study literature from various sources.

Results: This research found the differences construct of the concept in mathematics by using both theories.

Implications/Applications: The SOLO Taxonomic Theory and APOS Theory about its use in constructing mathematical concepts. This means to achieve an individual process needs to do the action repeatedly.


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Akbari, A., Abbasian, M., & Jansooz, P. (2013). Application of RAP Model in measuring the capabilities of attracting sources in the economy: A case study of the tourism sector in Sistan and Balucestan, UCT Journal of Social Sciences and Humanities Research, 1(1): 16-21.
Aydin, Sinan & Celal Mutlu. 2013. Students' understanding of the concept of limit of a function in vocational high school mathematics. TOJSAT : The Online Journal of Science and Technology. Vol. 3No.1: 145-152
Azizah, Mariani, Rochmad. 2012. Learning Tool Development Core Model of Constructivist Nuances To Improve Mathematical Connection. Semarang : UJMER no. 1. Vo.1 Hal. 100-105
Borji, Vahid and Voskoglou, Michael Gr. 2016. Applying The Apos Theory to study the student understanding of polar coordinates. American Journal of Education Research. Vol.4. no 16.doi: 10.12691/education-4-16-5
DeVries, David J. 2001. RUMEC/APOS Theory Glossary. http: // ~rumec/glossary
E Dubinsky, MA McDonald. 2001. APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research. Netherland : Springer. DOI 10.1007/0-306-47231-7_25
Font, Vicenç,. Trigueros, María., Badillo, Edelmira .,And Rubio, Norma. What Is A Mathematical Object? Looking To Objects From Two Theoreticalperspectives:Apos And Osa. 12th International Congress On Mathematical Education. 8 July – 15 July, 2012, COEX, Seoul, Korea, (2012).
Lian, L. dan Idris, N. “Assessing Algebraic Solv¬ing Ability of Form Four Students”. IEJME. Vol 1, No. 1, ( 2006).
López, Daniel A., Oscar Espinoza, and Silvia J. Sarzoza. "Aplicación de políticas de aseguramiento de la calidad en programas doctorales." Opción 34.86 (2018): 71-102.
Luo, C., Li, M., Peng, P., and Fan, S. (2018). How Does Internet Finance Influence the Interest Rate? Evidence from Chinese Financial Markets. Dutch Journal of Finance and Management, 2(1), 01.
Maharaj, Aneshkumar.An APOS analysis of natural science students’ understanding of derivatives. South African Journal of Education; vol. P. 1.19, (2013).
Makonye, Judah P. Pre –Service Mathematics Student Teachers’ Conceptions Of Nominal And Effective Interest Rates. Phytagoras-Journal of The Association for Mathematics Education of South Africa Vol 38 (1).. P. 1-10.doi ; 10.4102/phytagoras.v38i1.307, (2017).
Meyer, A.D., Gaba, V. and Colwell, K. 'Organizing Far from Equilibrium: Nonlinear Change in Organizational Forms', Organization Science 16(5): 456-473 . Jakarta. PT. Raja Grafindo Persada, (2005).
Mulyono. Apos Theory and Its Implementation in Learning. JMEEVol I No.1. p. 37-45, (2011)
Olesova, A. P., & Borisova, U. S. (2016). Formation of Professional-communicative Competence of the Future Teachers in the Conditions of the Yakut-Russian Bilingualism. International Electronic Journal of Mathematics Education, 11(10), 3435-3445.
Parraguez, Marcela. & Asuman Oktaç. Construction of the vector space concept from the viewpoint of APOS theory. Linear Algebra and its Applications, 432 P.2112.2124, (2010).
Putri, L. F. dan Manoy, J.T. Identify Students' Math Capabilities in Solving Algebra Problems In Class VIII Based on SOLO Taxonomy.MATHEdunesa. Vol.2. no 1. P. 4, ( 2013).
Retna, Milda. Student Thinking Process In Solving Problems Stories Viewed Based on Mathematical Ability.. Jurnal Pendidikan STKIP Sidoarjo.Vol 1.No. 2.71,80, (2013).
Sukowiyono,. Thinking Process of Grade Vii Junior High School Students In Solving Mathematical Problems Basic Material Builds Flat Based on Gender Perspective.Jurnal FKIP UNS. Vol.1. p.327.335, (2013).
Sunardi, Hartanto . Development of Student 'SOLO' Taxonomy In Algebra. National Seminar on Mathematics Education "Mathematics and Learning, Facing the Curriculum 2013" Surabaya, June 01, 2013.P 151. 170, (2013).
Susanti, Elly. Parta, I.N dan Chandra,T.D. Profile of Student Thinking In Constructing Mathematical Connection Ideas Based on SOLO Taxonomy.Knpm V, Himpunan Matematika Indonesia. P.252. 263, (2013).
Syah, Muhibbin. .Psikologi Belajar. Jakarta : PT. RajaGrafindo Persada, (2004).
Septiati, E. The Effectiveness of Constructivism Approach to Student Mathematical Connection Ability In Real Analysis Course II. Yogyakarta: Universitas Negeri Yogyakarta, (2012).
Zare, H., & Rajaeepur, S. (2013). THE TASKS OF SOCIAL WORKERS WORKING WITH CHILDREN OF DIVORCE: A REVIEW, UCT Journal of Management and Accounting Studies, 1(1): 5-10.