Author(s)

Can Cao^1,2*, Long Li²

Affiliation(s)

¹School of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan, China.

²School of Mathematics and Statistics, Hengyang Normal University, Hengyang 421002, Hunan, China.

Corresponding Author

Can Cao

ABSTRACT

This research is guided by the core mathematical competencies. Based on the national college entrance examination mathematics papers from 2019 to 2023, it adopts a research method combining quantitative and qualitative analysis to systematically analyze the probability and statistics questions. The analysis is carried out from four aspects: question - type structure, score distribution, knowledge dimension, and competency assessment, with a focus on examining the assessment characteristics and proposition trends of core competencies such as mathematical abstraction, logical reasoning, mathematical operation, and data analysis. The study finds that the probability and statistics questions in the college entrance examination exhibit the proposition characteristics of "real - life situations, structured thinking, and comprehensive methods". The score proportion of situation - based questions accounts for more than 65%. The questions emphasize the integrated assessment of mathematical modeling ability and statistical thinking, highlighting the integrity of the data analysis process and the rigor of logical reasoning. The research results have important reference value for optimizing the teaching strategies of probability and statistics and improving students' core mathematical competencies.

KEYWORDS

Core mathematical competencies; College entrance examination mathematics; Probability and statistics questions; Proposition characteristics; Data analysis

CITE THIS PAPER

Can Cao, Long Li. Probability and statistics questions of college entrance examination based on mathematics core literacy -- a case study of college entrance examination mathematics in recent five years (2019-2023) accomplishment. Educational Research and Human Development. 2025, 2(1): 28-33. DOI: https://doi.org/10.61784/erhd3029.

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