Factor Analytic Method in Developing Scoring Rubric for Word Problems

Main Article Content

Louida P. Patac
Adriano, Jr. Patac
Cheeza Marie Bactil

Abstract

The study aimed to develop a scoring rubric in solving word problems as an assessment tool that could be used to determine the student’s level of performance, particularly in solving word problems. Scoring guides independently developed by teachers were consolidated using a priori criteria, then implemented to initial participants of prospective secondary teachers and first screened by PCA. Finally, the instrument was validated using the in-service teachers of the Eastern Zone with varied teaching experiences. Out of twelve criteria initially set, only two criteria emerged after subjecting to Exploratory Factor Analysis, which is the basis for a scoring rubric. After using the revised rubric, it was found out that the student’s performance was on average level. Further findings and conclusions were discussed in this paper.

Article Details

How to Cite
Patac, L. P., Patac, A. J., & Bactil, C. M. . (2021). Factor Analytic Method in Developing Scoring Rubric for Word Problems. Asia Research Network Journal of Education, 1(3), 151–163. Retrieved from https://so05.tci-thaijo.org/index.php/arnje/article/view/254426
Section
Research Article
Author Biography

Adriano, Jr. Patac, Surigao State College of Technology, Surigao City, Philippines

College of Teacher Education

Associate Professor

References

Allen, S., & Knight, J. (2009). A Method for Collaboratively Developing and Validating a Rubric. International Journal for the Scholarship of Teaching and Learning, 3(2), 1-17.

Andrade, H. G. (2000). Using rubrics to promote thinking and learning. Educational leadership, 57(5), 13-19.

Andrade, H., & Du, Y. (2005). Student perspectives on rubric-referenced assessment. Practical Assessment, Research, and Evaluation, 10(1), 1-11.

Aydogdu, M., & Ayaz, M. F. (2015). The importance of problem solving in mathematics curriculum. Physical Sciences, 3(4), 538-545.

Baryla, E., Shelley, G., & Trainor, W. (2012). Transforming rubrics using factor analysis. Practical Assessment, Research & Evaluation, 17(4), 1-7.

Biggs, J., & Tang, C. (2007). Teaching for quality learning at university Maidenhead. Berkshire, UK: McGraw-Hill Education.

Bernardo, A. B. (1999). Overcoming obstacles to understanding and solving word problems in mathematics. Educational Psychology, 19(2), 149-163.

Bloom, B. S. (1956). Taxonomy of educational objectives. Vol. 1: Cognitive domain. New York: McKay, 20-24.

Brookhart, S. M. (2013). How to create and use rubrics for formative assessment and grading. Ascd.

Brookhart, S. M. (2017). How to give effective feedback to your students. ASCD.

Charles, R. (1987). How To Evaluate Progress in Problem Solving. National Council of Teachers of Mathematics, 1906 Association Drive, Reston, VA 22901.

Comrey, A. L., & Lee, H. B. (2013). A first course in factor analysis. Psychology press.

Dawson, P. (2017). Assessment rubrics: towards clearer and more replicable design, research and practice. Assessment & Evaluation in Higher Education, 42(3), 347-360.

Docktor, J. L., Dornfeld, J., Frodermann, E., Heller, K., Hsu, L., Jackson, K. A., ... & Yang, J. (2016). Assessing student written problem solutions: A problem-solving rubric with application to introductory physics. Physical review physics education research, 12(1), 010130.

Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational studies in mathematics, 61(1-2), 103-131.

Fraile, J., Panadero, E., & Pardo, R. (2017). Co-creating rubrics: The effects on self-regulated learning, self-efficacy and performance of establishing assessment criteria with students. Studies in Educational Evaluation, 53, 69-76.

Pino-Fan, L., Guzmán, I., Duval, R., & Font, V. (2015). The theory of registers of semiotic representation and the onto-semiotic approach to mathematical cognition and instruction: linking looks for the study of mathematical understanding. In Proceedings of the 39th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 33-40).

Hair, J. F., Black, Wc, Babin, Bj, & Anderson, Re (2010). Multivariate data analysis, 7th Ed. Upper Saddle River, NJ: Pearson

Hair Jr, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2019). Multivariate Data Analysis (8th Ed). Hampshire: Cengage Learning, EMEA.

Harman, H. H. (1976). Modern factor analysis. University of Chicago press.

Jonsson, A. (2014). Rubrics as a way of providing transparency in assessment. Assessment & Evaluation in Higher Education, 39(7), 840-852.

Kaiser, Henry F. "The application of electronic computers to factor analysis." Educational and psychological measurement20.1 (1960): 141-151.

Kamei, T., & Woods, K. (2016). The development of problem-solving rubrics to define learning progressions to support the inclusion of students with additional learning needs.

MacCallum, R. C., Widaman, K. F., Zhang, S., & Hong, S. (1999). Sample size in factor analysis. Psychological Methods, 4, 84-99.

Matsunaga, M. (2010). How to Factor-Analyze Your Data Right: Do's, Don'ts, and How-To's. International journal of psychological research, 3(1), 97-110.

Osborne, J. W., Costello, A. B., & Kellow, J. T. (2008). Best practices in exploratory factor analysis. Best practices in quantitative methods, 86-99.

Panadero, E. (2011). Instructional help for self-assessment and self-regulation: Evaluation of the efficacy of self-assessment scripts vs. rubrics. Unpublished doctoral dissertation). Universidad Autónoma de Madrid, Madrid, España.

Park, H. S., Dailey, R., & Lemus, D. (2002). The use of exploratory factor analysis and principal components analysis in communication research. Human Communication Research, 28, 562-577.

Ragupathi, K., & Lee, A. (2020). Beyond fairness and consistency in grading: The Role of Rubrics in Higher Education. In Diversity and inclusion in global higher education (pp. 73-95). Palgrave Macmillan, Singapore.

Raykov, T., & Marcoulides, G. A. (1999). On desirability of parsimony in structural equation model selection. Structural Equation Modeling: A Multidisciplinary Journal, 6(3), 292-300.

Rosli, R., Goldsby, D., & Capraro, M. M. (2013). Assessing students’ mathematical problem-solving and problem-posing skills. Asian social science, 9(16), 54.

Rr Chusnul, C., Mardiyana, S., & Retno, D. (2017, December). Errors analysis of problem solving using the Newman stage after applying cooperative learning of TTW type. In American Institute of Physics Conference Series (Vol. 1913, No. 2).

Salaberry, M. R. (2018). Declarative versus procedural knowledge. The TESOL Encyclopedia of English Language Teaching, 1-7.

Singer, F. M., Ellerton, N. F., & Cai, J. (2015). Mathematical problem posing. New York, NY: Springer.

Woranetsudathip, N. (2021). Examine First Grade Students’ Strategies of Solving Open-ended Problems on Addition. Asia Research Network Journal of Education, 1(1), 15-24.

Woranetsudathip, N. and Yuenyong, C. (2015). Enhancing grade 1 Thai students’ learning about mathematical ideas on addition through lesson study and open approach. Mediterranean Journal of Social Sciences, 6 (2S1), 28-33