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All Journal International Journal of Pedagogy and Teacher Education Jambura Journal of Mathematics Education Jurnal Riset Mahasiswa Matematika
Mulyaning A, Endang Cahya
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Education Mathematics Social Sciences

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Interpretasi Validitas dan Reliabilitas Instrumen Kemampuan Berpikir Aljabar Nubatonis, Ofirenty Elyada; Jupri, Al; Mulyaning A, Endang Cahya
Jambura Journal of Mathematics Education Vol 5, No 1: Maret 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jmathedu.v5i1.23435

Abstract

This research aims to interpret the validity and reliability of the items on the algebraic thinking ability instrument which are linked to content, context, question structure and students' cognitive level. The development of the algebraic thinking ability instrument was carried out in four stages by adapting the Plomp development model. The first stage (initial assessment), conducting a theoretical study of algebraic thinking abilities and curriculum analysis. The second stage (design), draft questions by paying attention to the relationship between indicators of algebraic thinking ability and learning objectives. Furthermore, this question design was validated by three experts in the field of mathematics education. The fourth stage (realization/construction) is testing the instrument which includes testing validity, reliability, distinguishability and level of difficulty. Apart from that, in the fourth stage the test results are also interpreted, evaluated and revised. The instrument was tested on 19 class VII students at one of the junior high schools in Bandung City. Interpretations of validity, reliability, distinguishability and level of difficulty are related to content, context, question structure and students' cognitive level. The results of the analysis at this stage are used as a reference for improving the instrument. The instrument produced in this research is a description question consisting of four items that are valid and reliable and can be used to measure algebraic thinking abilities, especially those related to generalization, transformation and metaglobal abilities.
Model Matematika Diabetes Melitus dengan Pengaruh Pola Hidup dan Perawatan Berdasarkan Faktor Risiko Biologis Abolla, Gloria Angelica; Yulianti, Kartika; Mulyaning A, Endang Cahya
Jurnal Riset Mahasiswa Matematika Vol 5, No 1 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v5i1.35807

Abstract

Diabetes melitus (DM) merupakan gangguan metabolisme yang ditandai dengan peningkatan kadar glukosa darah (hiperglikemia). Jumlah penderita DM terus meningkat secara global, dan Indonesia menempati peringkat keempat negara dengan jumlah kasus terbanyak di dunia. Penelitian ini membangun model matematika Susceptible--Exposed--Infected--Treated--Recovered (SEITR) untuk menggambarkan dinamika perkembangan jumlah penderita DM dengan melibatkan faktor risiko biologis seperti genetik dan non-genetik, serta pengaruh pola hidup dan perawatan. Hasil analisis menunjukkan bahwa terdapat dua titik ekuilibrium, yaitu ekuilibrium bebas penyakit dan endemik yang bersifat stabil jika transisi individu sehat menjadi pradiabetes akibat faktor genetik, non-genetik, pola hidup buruk, dan laju kelahiran tidak lebih besar dibanding gabungan laju kehilangan dari status karena kematian alami, perkembangan ke DM, atau pengendalian.  Solusi numerik bersesuaian dengan analisa kualitatif dan menggunakan metode Runge-Kutta Fehlberg. Hasil simulasi menunjukkan bahwa pengendalian perkembangan DM dapat dilakukan melalui dua hal, yaitu meningkatkan laju pola hidup sehat dan meningkatkan pencegahan sejak fase pradiabetes.
Discriminant Analysis of Students' Spatial Ability in Understanding Flat-Sided Geometric Shapes Lutfi, Muh. Khaedir; Herman, Tatang; Mulyaning A, Endang Cahya
International Journal of Pedagogy and Teacher Education Vol 9, No 1 (2025): International Journal of Pedagogy and Teacher Education - April
Publisher : The Faculty of Teacher Training and Education (FKIP), Universitas Sebelas Maret, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/ijpte.v9i1.98297

Abstract

Spatial ability is a crucial aspect that supports students in visualizing and understanding abstract mathematical concepts, particularly flat-sided geometric shapes in geometry learning. This study aims to identify the factors that differentiate students with low and high spatial abilities through discriminant analysis. The factors analyzed include Mental Rotation, Spatial Orientation, Visualization, Spatial Relation, and Spatial Perception, measured using a spatial ability test. The test instrument consisted of five questions developed based on the spatial ability framework offered by Maier and validated by mathematics and learning evaluation experts. A total of 34 ninth-grade students from a junior high school in Tangerang Regency were selected through purposive sampling. The analysis results showed that Visualization, Spatial Relation, and Spatial Perception were the main predictors that significantly differentiated the two groups. Visualization supports the ability to imagine geometric objects, Spatial Relation facilitates the understanding of relationships between objects, and Spatial Perception aids in recognizing the position and relationship of geometric elements. The resulting discriminant model had an eigenvalue of 13.967, indicating a strong discriminant power in separating student groups. Understanding these differentiating factors provides a foundation for designing effective learning strategies, such as the use of augmented reality (AR) applications and 3D modeling tools to enhance students’ comprehension of spatial figures. Furthermore, interventions using physical or virtual manipulatives can be tailored to students’ needs, assisting them in mastering the concept of flat-sided geometric shapes.
Co-Authors Abolla, Gloria Angelica Kartika Yulianti Lutfi, Muh. Khaedir Nubatonis, Ofirenty Elyada Tatang Herman, Tatang