Riemann : Research of Mathematics and Mathematics Education
Vol. 8 No. 2 (2026): EDISI AGUSTUS

AI-Integrated Student Worksheets: Scaffolding Spatial and Representational Reasoning in Double Integrals

Rachmalia Vinda Kusuma (Universitas PGRI Ronggolawe)
Edy Nurfalah (Universitas PGRI Ronggolawe)



Article Info

Publish Date
18 Aug 2026

Abstract

This study aims to develop and examine the effectiveness of Artificial Intelligence (AI)-integrated student worksheets as scaffolding for students' spatial and representational reasoning in double integral material. Using an explanatory sequential mixed-methods approach, this exploratory study employed a one-group pretest-posttest design involving the entire cohort of 11 third-semester students from the 2023 batch of the Mathematics Education Study Program at Universitas PGRI Ronggolawe. Data were analyzed using the Wilcoxon Signed-Rank test and N-Gain. The qualitative phase involved in-depth observations and semi-structured interviews to explore the mechanisms of AI scaffolding. Expert validation yielded a score of 87.7% (highly valid), while practicality reached 85.5% (highly practical). The effectiveness test showed a significant improvement ( , large effect size) with a mean N-Gain of 0.556 (moderate category), and all students surpassed the minimum mastery score of 75. Qualitative findings revealed three distinct AI scaffolding mechanisms: (1) externalized thinking through Socratic interaction for high-ability students; (2) progressive fading aligned with Vygotsky's Zone of Proximal Development (ZPD) for moderate-ability students; and (3) graphical-to-symbolic representational transfer facilitated by graduated AI prompts for low-ability students. As a preliminary, theoretically informed contribution, this exploratory study proposes an initial framework for differentiating AI-driven scaffolding in multivariable calculus pedagogy, to be further tested in future research with larger samples and controlled designs.

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Journal Info

Abbrev

reimann

Publisher

Subject

Education Mathematics

Description

Riemann: Research of Mathematics and Mathematics Education Journal Riemann is peer-reviewed journal that contains the work of the field of educational research or teaching mathematics, mathematics, mathematical applications, mathematical computerization, and models of mathematics education in the ...