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Journal : Jurnal Elemen

How math happens at home: A Rasch-based validation of the home mathematics environment scale in early childhood Nugraha, Adi Cahya; Rachmadani, Ira; Mardiana; Refiyanti, Nur Alifa Deviar; Soebagyo, Joko
Jurnal Elemen Vol 11 No 3 (2025): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i3.30220

Abstract

Preschool education is important for developing children’s social and cognitive skills, with early mathematical ability being a strong predictor of future success. This study evaluated the psychometric properties of the Preschool Home Mathematics Questionnaire (PHMQ) using Rasch Model Analysis. A total of 95 parents and guardians of preschool-aged children participated in the study. A total of 37 Likert-scale items were analysed. The results showed excellent person reliability (0.93) and item reliability (0.96), indicating strong consistency and well-targeted item difficulty. Of the 37 items, 32 were valid according to the Rasch fit criteria, while five items (Q13, Q15, Q22, Q24, and Q26) showed misfit based on the Outfit mean square (MNSQ), Z-standard (ZSTD), and PTMEA-CORR. The Likert scale functioned well with ordered thresholds and smooth transitions between categories. The unidimensionality test confirmed that the PHMQ measures a single construct, with 44.1% of the variance explained and only 12.8% unexplained in the first contrast. While the PHMQ shows good validity and reliability, this study focused only on basic Rasch validation. Future research should explore differential item functioning (DIF), item bias, and long-term stability to further improve this instrument and support its use in different settings.
Co-Authors Abdul Muchlis Adinda Putri Salsabilah Agustin, Siti Sundari Ahmad Septiana Aida Ar Rahmah Alaya Diwimuri Alifah Noer Amalia, Ghina Rizki Anggraini, Fadhilah dwi ANWARI, AHMAD MUMTAZ Arifin Karim Arifin Karim Atikah Taqiyyah Ayu Setyawati Ayu Wulandari Azhar, Ervin Azizah Zahra Desiana Desiana Devie Nursaidah Putri Dewi, Nikita Dinda Haniyah Dyah Ayu Wulandari Dzulhijjah Atdina Putri Edy Purwanto, Sigid Febbyana Ilwan Kajori Feby Fajriatur Rohmah Fitri Hidayani Ghina Rizki Amalia Hakim, Irsyad Malik Haniyah, Dinda Hasna Salsabilla Jati Haya, Aqiela Fadia Hidayani, Fitri Huri Suhendri Idha Novianti Ika Eryanti Ilham Imanie Amin Imay Kurniawan Imay Kurniawan Indah Tri Kusumawati Ishaq Nuriadin Istikharoh Istikharoh Jiddan Fakhri Sunni Karim, Arifin Khoerul Umam Leonisa, Isnainia Lusiana Nur Maghfiroh Luthfiyyah, Fadhilah Izzul Ma'arif, Samsul Maghfiroh, Lusiana Nur MARDIANA Meila Asysyaffa Miftahul Jannah Anri Muchlis, Abdul Muhamad Wulidasauma Ajinegara Nia Kurniasih nia kurniasih Nikita Dewi Nikita Dewi Ningrum, Fitria Cahya Noer, Alifah Nugraha, Adi Cahya Nur Ika Adila Rahmawati Nursaidah Putri, Devie Putri, Dzulhijjah Atdina Rachmadani, Ira Rahma Yuliastuti Refiyanti, Nur Alifa Deviar Riska Fitriani Roslani Supinah Saamah Saamah Sahroni, Ade Salaamah Nur Mujahidah Salsabila, Sarah Aida Samsul Ma'arif Samsul Maarif Sarah Aida Salsabila Sigid Sigid Sigid Edy Purwanto Siti Sundari Agustin Sri Neviyanti Sarman Sugestiana Sugestiana Sugestiana Sugestiana Sugestiana, Sugestiana Sugi Sugi Sundari Agustin, Siti Vivied Eka Pratiwi Widya Saviraningrum Wildan Toyib Yana Yana, Yana Yani, Nur Fitri Zahra, Azizah