Research on Teaching Practice and Strategies of Probability and Statistics Thinking in Middle Schools Empowered by Modern Educational Technology

  • Jin He Audio-Visual Education Center, Education Bureau of Ili Kazakh China Autonomous Prefecture, Yining 835000, Xinjiang,
  • Jiangtao Yu Yining No. 8 Middle School, Yining 835000, Xinjiang, China
  • Zhaoyuan Zhang School of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China
Keywords: Probability and statistics, Core competencies, Modern educational technology, Project-based learning, Teaching strategies

Abstract

With the implementation of General Senior High School Mathematics Curriculum Standards (2017 Edition, Revised in 2020), probability and statistics, as important carriers of the core mathematical competencies “mathematical modeling” and “data analysis,” have increasingly highlighted their educational value. By summarizing the historical evolution of probability and statistics thinking and combining with teaching practice cases, this study explores its unique role in cultivating students’ core mathematical competencies. The research proposes a project-based teaching strategy relying on real scenarios and empowered by technology. Through cases, it demonstrates how to use modern educational technology to realize the whole-process exploration of data collection, model construction, and conclusion verification, so as to promote the transformation of middle school probability and statistics teaching from knowledge imparting to competency development, and provide a practical reference for curriculum reform.

References

Ministry of Education of the People’s Republic of China, 2020, General Senior High School Mathematics Curriculum Standards (2017 Edition, Revised in 2020), People’s Education Press, Beijing.

Shi NZ, 2017, Revision of Compulsory Education Mathematics Curriculum Standards (2022 Edition) and Core Competencies. Journal of Teacher Education, 37(01): 4–9.

Franklin C, Kader G, Mewborn D, et al., 2007, Guidelines for Assessment and Instruction in Statistics Education (GAISE) Report: A Pre-K-12 Curriculum Framework, American Statistical Association, Alexandria, VA.

English LD, 2011, Promoting Statistical Literacy through Data Modeling in the Early Years, in Batanero C, Burrill G, Reading C, (Eds.), Teaching Statistics in School Mathematics—Challenges for Teaching and Teacher Education: A Joint ICMI/IASE Study, Springer, Dordrecht, 279–289.

Greer B, Mukhopadhyay S, Powell AB, et al., 2010, Modeling as a Fundamental Skill in the Statistics Curriculum, in Lesh R, Galbraith PL, Haines CR, et al., (Eds.). Modeling Students’ Mathematical Modeling Competencies, Springer, New York, 295–308.

Wu ZH, Wu JJ, 2023, An Empirical Study on the Impact of Project-Based Learning on Data Analysis Literacy of Senior One Students. Research on Modern Basic Education, 52(04): 146–152.

Wild CJ, Pfannkuch M, 1999, Statistical Thinking in Empirical Enquiry. International Statistical Review, 67(3): 223–248.

Bargagliotti A, Franklin C, Arnold P, et al., 2020, Pre-K-12 Guidelines for Assessment and Instruction in Statistics Education II (GAISE II): A Framework for Statistics and Data Science Education, American Statistical Association, Alexandria, VA.

Garfield J, Ben-Zvi D, 2008, Developing Students’ Statistical Reasoning: Connecting Research and Teaching Practice, Springer, Dordrecht.

Biehler R, Ben-Zvi D, Bakker A, et al., 2013, Technology for Enhancing Statistical Reasoning at the School Level, in Clements MA, Bishop A, Keitel C, et al., (Eds.), Third International Handbook of Mathematics Education, Springer, New York, 643–689.

Pratt D, Kazak S, 2005, Research on Probability in the Middle School Years: A Look from Multiple Perspectives, in Jones GA, (Ed.), Exploring Probability in School: Challenges for Teaching and Learning, Springer, New York, 177–199.

Sole MA, Weinberg SL, 2017, What’s Brewing? A Statistics Education Discovery Project. Journal of Statistics Education, 25(3): 137–144.

Li KH, 2024, A Teaching Study on Cultivating Senior High School Students’ Core Literacy of Data Analysis by Using GeoGebra Software, dissertation, Mudanjiang Normal University.

Konold C, Higgins T, Russell SJ, et al., 2015, Data Seen Through Different Lenses. Educational Studies in Mathematics, 88(3): 305–325.

Yu JT, 2025, A Brief Analysis of Teaching Strategies for Senior High School Probability and Statistics from the Perspective of Core Competencies. Fujian Middle School Mathematics, (02): 19–22.

Published
2025-12-09