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Dagui Wu

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Open access 2026

Epistemological Rupture in the Transition from Junior to Senior High School

The function concept occupies a central position in school mathematics, yet its development across educational levels involves discontinuities that resist smooth cognitive progression. In the Chinese mathematics curriculum, the transition from junior to senior high school requires students to move from a "variable depe...

Dagui Wu, Yunyun Zhang · 0 citations
Open access 2026

Epistemological Rupture in the Transition from Frequency to Formalism

The probability concept occupies an increasingly central position in school mathematics, yet its development across educational levels involves discontinuities that resist smooth cognitive progression. In the Chinese mathematics curriculum, the transition from junior to senior high school requires students to move from...

Dagui Wu, Yunyun Zhang · 0 citations
Open access 2026

Problem Situations as Epistemological Foundations: A Comparative Analysis of Chinese

The concept of "problem situation" occupies a central position in Chinese mathematics curriculum standards. Rather than treating situations as mere decorative backgrounds for mathematical problems, the Chinese curriculum imbues them with a generative epistemological role, serving as the soil from which mathematical kno...

Dagui Wu, Yunyun Zhang · 0 citations
Open access 2026

Epistemological Analysis of Multiple Representations in Secondary Mathematics: The Case of the Function Concept

Mathematical concepts are inherently inaccessible to learners except through their representations. Yet what does it mean to "represent" a mathematical object, and why does the movement between different forms of representation constitute such a persistent site of difficulty? This paper presents a sustained theoretical...

Dagui Wu, Yunyun Zhang · 0 citations

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