American Journal of Educational Research
ISSN (Print): 2327-6126 ISSN (Online): 2327-6150 Website: https://www.sciepub.com/journal/education Editor-in-chief: Ratko Pavlović
Open Access
Journal Browser
Go
American Journal of Educational Research. 2020, 8(5), 267-271
DOI: 10.12691/education-8-5-6
Open AccessArticle

Mathematical Commognition: An Investigation Using Repetition with Complex Variations

Santos O. Ombay1 and Dennis B. Roble1,

1University of Science and Technology of Southern Philippines, Lapasan Highway, Cagayan de Oro City, Philippines

Pub. Date: May 13, 2020

Cite this paper:
Santos O. Ombay and Dennis B. Roble. Mathematical Commognition: An Investigation Using Repetition with Complex Variations. American Journal of Educational Research. 2020; 8(5):267-271. doi: 10.12691/education-8-5-6

Abstract

This study focused on the investigation on how repetition with simple and complex variations may influence students’ mathematical commognition (communication and cognition). The study was conducted at Bulua National High School of the Division of Cagayan de Oro City to Grade-10 students enrolled for school year 2019-2020. This study utilized the pretest-posttest control group design. A teacher-made test that measures students’ mathematical commognition comprises of 5-item open-ended questions with a rubric scale that measures mathematical cognition and mathematical communication skills was the main instrument used in the study. The analysis of covariance (ANCOVA) was used to determine the effects of simple and complex variations on students’ mathematical commognition. Results of the analysis revealed that students exposed to repetition with complex variations approach had significantly higher performance scores in terms of mathematical commognition as compared to its counterpart. The researchers then recommends that mathematics teachers may use this method as a basis for future studies for more insights on instruction that uses repetition with complex variations.

Keywords:
repetition with complex variations repetition with simple variations commognition

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  Vygotsky, L. S. (1980). Mind in society: The development of higher psychological processes. Harvard university press.
 
[2]  Olteanu, C., & Olteanu, L. (2012). Improvement of effective communication—the case of subtraction. International Journal of Science and Mathematics Education, 10(4), 803-826.
 
[3]  Noche, J. R., & Vistro-Yu, C. P. (2015). Teaching proportional reasoning concepts and procedures using repetition with variation. In 7th ICMI—East Asia Regional Conference on Mathematics Education.
 
[4]  Lomibao, L. S., & Ombay, S. O. Does Repetition with Variation Improve Students’ Mathematics Conceptual Understanding and Retention?.
 
[5]  Harrison, C., & Howard, S. (2009). Inside the primary black box: Assessment for learning in primary and early years classrooms. Granada Learning.
 
[6]  Ekstrom, R. B., Dermen, D., & Harman, H. H. (1976). Manual for kit of factor-referenced cognitive tests (Vol. 102). Princeton, NJ: Educational testing service.
 
[7]  Guilford, J. P., & Hoepfner, R. (1971). The analysis of intelligence (pp. 169-170). New York: McGraw-Hill.
 
[8]  Sarwadi, H. R. H., & Shahrill, M. (2014). Understanding students’ mathematical errors and misconceptions: The case of year 11 repeating students. Mathematics Education Trends and Research, 2014(2014), 1-10.
 
[9]  Hidayat, R., & Iksan, Z. H. (2015). The Effect of Realistic Mathematic Education on Students’ Conceptual Understanding of Linear Progamming. Creative Education, 6(22), 2438.
 
[10]  Fi, C. D., & Degner, K. M. (2012). Teaching through problem solving. MatheMatics teacher, 105(6), 455-459.
 
[11]  Lai, M. Y., & Murray, S. (2012). Teaching with procedural variation: A Chinese way of promoting deep understanding of mathematics. International Journal for Mathematics Teaching and Learning.
 
[12]  Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge University Press.
 
[13]  Sundayana, R., Herman, T., Dahlan, J. A., & Prahmana, R. C. (2017). Using ASSURE learning design to develop students’ mathematical communication ability. World Transactions on Engineering and Technology Education, 15(3), 245-249.
 
[14]  Kosko, K. W., & Gao, Y. (2017). Mathematical communication in state standards before the Common Core. Educational Policy, 31(3), 275-302.
 
[15]  Lomibao, L. S., Luna, C. A., & Namoco, R. A. (2016). The influence of mathematical communication on students’ mathematics performance and anxiety. American Journal of Educational Research, 4(5), 378-382.