Polyhedron International Journal in Mathematics Education
Vol. 4 No. 2 (2026): pijme

Inquiry under constraint: Fostering junior high school students’ mathematical critical thinking and resilience through an offline guided inquiry e-module

Heti Handayani (Universitas Terbuka)
Yumiati Yumiati (Universitas Terbuka)
Nia Jusniani (Universitas Terbuka)



Article Info

Publish Date
08 Oct 2026

Abstract

Strengthening mathematical critical thinking and resilience is difficult in schools where digital access is restricted, such as Indonesian Islamic boarding schools (pesantren). This study developed an offline guided inquiry e-module on lines and angles for this setting and examined its validity, practicality, and preliminary effectiveness. Following the ADDIE model, a needs analysis at a pesantren-based junior high school informed a storyboard and a 29-page offline flipbook with three submodules organized around five inquiry stages and contexts from pesantren life. Three validators rated the e-module highly valid (Aiken’s V = 0.937 for material and 0.924 for media), and their feedback led to minor revisions. In a three-meeting one-group pretest–posttest trial with all nine seventh-grade students, observed teacher implementation increased from 63.7% to 82.5% and student engagement from 59.2% to 78.9%, and the teacher (87.5%) and students (84.52%) rated the e-module very practical. Critical thinking scores rose significantly (t(8) = 3.490, p = 0.008, dz = 1.163; mean N-Gain = 0.360), and every student’s resilience score increased (mean 49.33 to 58.22 of 80). Given the small sample and the absence of a comparison group, these results indicate preliminary within-group change rather than causal effects. The study offers a transferable design for offline, inquiry-based digital materials in technology-constrained schools.

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Journal Info

Abbrev

pijme

Publisher

Subject

Education Mathematics

Description

Polyhedron International Journal in Mathematics Education (PIJME) journal aims to stimulate discussions at all levels of mathematics education through disseminating significant and innovative scholarly studies that are of value to the international research communities. The journal welcomes articles ...