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All Journal PEDAGOGIK : JURNAL PENDIDIKAN Early Childhood Development Gazette
Fachri Aldin
National Formosa University
Humanities Education

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Mathematics in the Sandbox: Investigating Spontaneous Mathematical Talk During Free Play Diana Putri Prahasti; Muhammad Furqon; Vivi Anggraini; Fachri Aldin; Qisthi Efridita
Early Childhood Development Gazette Vol. 3 No. 1 (2026): January-June
Publisher : Al-Qalam Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61987/gazette.v3i1.2054

Abstract

Children often explore mathematical ideas naturally while playing, yet these moments are rarely captured in early childhood classrooms. The purpose of this research is to investigate how spontaneous mathematical talk emerges during free play in a sandbox environment and to understand the types of mathematical ideas children express. A qualitative observational approach was used to document children’s conversations and interactions during unstructured sandbox play. Data were collected through field observations and audio recordings of children’s dialogue while they built, measured, compared, and organized materials in the sand. The recorded interactions were then coded and analyzed to identify patterns of mathematical language and concepts. The findings show that children frequently used informal mathematical talk such as counting, comparing sizes, estimating quantities, and describing shapes while collaborating with peers. These conversations appeared naturally without direct instruction and often emerged when children negotiated roles, shared materials, or solved small problems during play. The study suggests that free play spaces can become rich contexts for early mathematical thinking. Recognizing and supporting these moments may help educators encourage mathematical language in more natural and meaningful ways during everyday classroom activities.
EXPLORING DIGITAL PROFESSIONAL LEARNING ECOSYSTEMS: TRANSFORMING TEACHER COMPETENCY DEVELOPMENT POLICIES IN PRIVATE MADRASAS Jejen Musfah; Sita Ratnaningsih; Fachri Aldin; Hasan Baharun
PEDAGOGIK : JURNAL PENDIDIKAN Vol 13, No 1 (2026)
Publisher : Nurul Jadid University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33650/pjp.v13i1.13404

Abstract

The rapid expansion of digital education requires teacher competency development to move beyond fragmented training toward sustainable professional learning ecosystems. However, private madrasas continue to exhibit substantial disparities in teachers' digital competency outcomes. suggesting that existing policies have not effectively transformed professional development into institutional learning ecosystems. This study employed a qualitative multiple-case study design. Data were collected through in-depth interviews, observations, and document analysis and were analyzed using the interactive model of Miles, Huberman, and Saldaña. The findings reveal three major transformations. First, teacher competency development policies have shifted from fragmented training initiatives toward digital professional learning ecosystems that promote continuous learning and collaborative knowledge sharing. Second, adaptive leadership emerged as the primary driver of policy transformation through strategic supervision, institutional resource allocation, and collaborative professional learning. Third, policy implementation remains constrained by limited institutional readiness, disparities in teachers' digital competencies, dependence on externally driven professional development, and weak professional learning cultures, resulting in uneven policy transformation across private madrasas.
Co-Authors Baharun, Hasan Diana Putri Prahasti Jejen Musfah, Jejen Muhammad Furqon Qisthi Efridita Ratnaningsih, Sita Vivi Anggraini