VELOPING AND VALIDATING A RUBRIC FOR ASSESSING MIDDLE SCHOOL STUDENTS’ PROBLEM SOLVING COMPETENCY IN STATISTICS
Main Article Content
Abstract
In the 2018 General Education Mathematics Curriculum, statistics is formally introduced as a new content domain spanning Grades 2 to 12. In the current educational landscape, competency-based assessment has become a central requirement, emphasizing the development of students’ problem-solving competency. This study was conducted to design and validate a rubric for assessing middle school students’ problem-solving competency in learning statistics, consistent with the aims of the 2018 curriculum. The rubric was constructed around four criteria intended to support formative assessment, enhance instructional practices, and foster student achievement. The study employed a mixed-method approach, including a survey of 66 mathematics teachers and a classroom experiment with 34 ninth-grade students. Findings revealed that teachers highly rated the rubric (mean scores ranging from 4.26 to 4.38, SD = 0.79–1.09), while reliability analysis confirmed strong internal consistency (Cronbach’s α = 0.956). The validation process demonstrated that the rubric is feasible for classroom use and aligned with curricular objectives. Overall, the study highlights the rubric’s potential as a tool for competency-based assessment and its contribution to improving the effectiveness of teaching and learning in mathematics.
Keywords
assessment rubric, GAISE II, middle school, problem-solving competency, rubric validation, statistics education
Article Details
References
https://www.amstat.org/asa/files/pdfs/GAISE/GAISEIIPreK - 12_Full.pdf.
Ministry of Education and Training (MOET). (2018a). General education curriculum - Overall program (Issued under Circular No. 32/2018/TT-BGDĐT dated December 26, 2018, by the Minister of Education and Training).
Ministry of Education and Training (MOET). (2018b). General education curriculum for Mathematics (Issued under Circular No. 32/2018/TT-BGDĐT dated December 26, 2018, by the Minister of Education and Training).
Le, T. H. C., & Nguyen, T. S. (2022). Developing a rubric for levels of statistical thinking in teaching statistics at upper middle school. Education Journal, 22(12), 25–29.
Tran, N. D. (Chief Editor), Tran, Đ. H., & Nguyen, T. A. (Lead Authors), Nguyen, C., Nguyen, V. H., Ngo, H. L., & Huynh, N. T. (n.d.). Mathematics textbook Grade 8 – Volume 1 (Creative Horizon series). Vietnam Education Publishing House.
Tran, D., & Tarr, J. E. (2018). Examination of bivariate data tasks in U.S. high school textbooks through the statistical investigation and cognitive demands frameworks. International Journal of Science and Mathematics Education, 16, 1581–1603.
https://doi.org/10.1007/s10763-017-9841-2
Franklin, Christine, A., Kader, G. D., Denise A. Mewborn, D. A., Moreno, J., Peck, R., Perry, M., & Scheaffer, R. (2007). Guidelines for Assessment and Instruction in Statistics Education (GAISE) Report: A pre-K-12 Curriculum Framework. Alexandria, VA: American Statistical Association.
Hargreaves, E. (2005). Assessment for learning? Thinking outside the (black) box. Cambridge Journal of Education, 35(3), 265–274.
https://doi.org/10.1080/03057640500319073
Nguyen, C. K. (Chief Editor), & Đao, T. O. (2019). Textbook on educational assessment. Hanoi National University of Education Publishing House.
Nguyen, L., & Nguyen, T. L. P. (Co-Chief Editors), Dang, X. C., Trinh, T. A. H., & Nguyen, T. H. V. (2016). Methods and techniques for developing assessment standards in reading comprehension and problem-solving competence. Vietnam Education Publishing House.
Tran, M. M. (2019). Developing a rubric to assess students’ competence in solving real-life problems in lower secondary Mathematics instruction. Education Journal, (463, Part 1 – October), 35–39.
Nguyen, T. N., Le, T. B. T. T., Tang, M. D., Vu, N. T. H., Bui, T. T. M., Ngo, M. Đ., Pham, S. N., Nguyen, D. N., & Tran, K. M. (2020). Professional development guidebook for core general education teachers – Module 2: “Using teaching methods to develop middle school students’ qualities and competencies in Mathematics”. Ministry of Education and Training (Vietnam).
Phan, A. T. (2014). Assessing students’ problem-solving competence in teaching 11th-grade Mathematics in upper middle school (Doctoral dissertation in Educational Science). Vinh University.
Hoang, T., & Chu, N. M. N. (2006). Research data analysis with SPSS. Ho Chi Minh City University of Economics, Hong Duc Publishing House.
Toh, T. L., Quek, K. S., Leong, Y. H., Dindyal, J., & Tay, E. G. (2011). Assessing problem solving in the mathematics curriculum: A new approach. In B. Kaur, & K. Y. Wong (Eds.), Assessment in the mathematics classroom: Yearbook 2011, Association of Mathematics Educators (pp. 33–66). World Scientific Publishing.