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All Journal MUSTEK ANIM HA Journal of Honai Math JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Varian Jurnal Magister Pendidikan Matematika (JUMADIKA)
Ruslau, Maria Fransina Veronica
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Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Mathematics Mechanical Engineering Social Sciences Other

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ANALISIS KESTABILAN MODEL POPULASI SATU MANGSA-DUA PEMANGSA DENGAN TAHAPAN STRUKTUR DAN PEMANENAN PADA PEMANGSA Pratama, Rian Ade; Palobo, Markus; Ruslau, Maria Fransina Veronica
MUSTEK ANIM HA Vol 8 No 03 (2019): MUSTEK ANIM HA
Publisher : Faculty of Engineering, Musamus University, Merauke, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35724/mustek.v8i03.2619

Abstract

Jurnal ini membahas mengenai model populasi mangsa-pemangsa dengan tahapan struktur. Pengambangan model matematika untuk memprediksi keberlanjutan dari suatu populasi makhluk hidup. Dalam hal ini tahapan struktur terjadi pada pemangsa kecil dan pemangsa dewasa. Fungsi respon yang menjadi karakteristik dari pemangsa adalah dengan mengikuti fungsi respon Holling Type I yang sesuai dengan karakteristik pada ekosistem makhluk hidup. Pada model yang dibentuk tersebut di analisis tentang nilai equilibrium dan kestabilan nilai equilibrium yang paling mendekati. Analisis ini dilakukan dengan menghitung nilai yang ada kesetimbangan pada titik equiblibrium yang terbentuk sebagai produk. Metode pelinieran pada sistem titik equilibrium ini untuk mewujudkan nilai eigen yang akan membuat model tersebut memenuhi syarat kestabilan. Pada proses yang dilakukan diperoleh empat produk titik equilibrium. Setiap titik equilibrium tentu memiliki ciri dan karakteristik serta syarat yang unik. Kriteria Routh-Hurwitz menjadi karakteristik yang digunakan untuk menjelaskan karakteristik kestabilanya. Sementara interpretasi dari nilai eigen pada persamaan karakteristik juga mempertimbangakan persamaan karakteristik matriks Jacobi. Disini juga dianalisis dinamika perubahan pada kasus yang memungkinkan dalam ekosistem untuk dilakukan eksploitasi jangka panjang dan berkelanjutan.
KARAKTERISTIK DOSEN IDEAL BERDASARKAN PERSEPSI CALON GURU MATEMATIKA Ernawati, Lusia Greitha; Ruslau, Maria Fransina Veronica; Nur'aini, Khumaeroh Dwi
Jurnal Magister Pendidikan Matematika (JUMADIKA) Vol 6 No 1 (2024): Jurnal Magister Pendidikan Matematika (JUMADIKA)
Publisher : Prodi Magister Pendidikan Matematika Pascasarjana Universitas Pattimura Ambon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/jumadikavol6iss1year2024page1-6

Abstract

This research was conducted to obtain lecturer profiles according to student perceptions. The attributes used in this research are discipline, authority, learning methods, material delivery, assignments, material review, remedial, and assessment which will then be analyzed using conjoint analysis. The conjoint analysis process with the help of SPSS 20 produces 16 attribute combinations which will then be distributed to students in the form of a questionnaire for assessment. Based on student assessments, the combination of attribute levels that has the highest preference value is lecturers who are disciplined in arriving on time, authoritative as individual lecturers, using conventional learning methods, delivering material using pure mathematics, lecturers who give assignments after being checked and then return them, carry out reviewing material before the exam, lecturers who carry out remediation, and also lecturers who provide objective assessments. The results of the conjoint analysis show that the attribute that has the highest relative importance value is reviewing the material with the attribute level that has the highest usefulness value, namely the lecturer reviewing the material before the exam. Next, successively based on the importance of the attributes, namely the attributes of discipline, tasks, remedial, authority, assessment, learning methods and delivery of material. Characteristics of lecturers in the Mathematics Education Department that students like are lecturers who, in the learning process, always review the material before taking exams; arrive on time for lectures; when giving assignments it is corrected, graded and then returned to the student; conducting re-exams for students who have not completed them or wish to improve their grades; and of course a lecturer must have authority as a lecturer; then in carrying out the assessment, the lecturer gives an assessment to the student objectively without considering the closeness of the lecturer to the student or other factors that influence the lecturer's assessment of the student; students prefer lecturers who teach without having to use techniques according to the lecturer's professionalism, the important thing is that the material presented can be understood by students; as well as delivering material using pure mathematics which can deepen students' mathematical knowledge
PENERAPAN PEDEKATAN SAINTIFIK DENGAN TUTOR SEBAYA UNTUK MENINGKATKAN PEMAHAMAN MATEMATIKA SISWA KELAS VIIA MTs AL-MUNAWAROH MERAUKE Ruslau, Maria Fransina Veronica; Suryani, Dessy Rizky; Mutmainnah, Linda Za’farani
Journal of Honai Math Vol. 1 No. 2 (2018): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This research aimed to improve student’s mathematical understanding through the scientific approach and peer tutor model. This research was classroom action research that was done in 2 cycles. Every cycle divided into 4 parts that were planning, action and observation, and reflection. The subject of this research was students’ grade VIIA MTs Al-Munawwaroh Merauke that consists of 25 students. The technique of data collection was used test observation and questionnaire of students learning motivation. The research result showed that the average of the students increased in every cycle and classical completeness of the cycle I was 64% and cycle II 88% from that result showed that an increase classical of cycle I and cycle II. Students activity increase on cycle I 60% with active category and cycle II obtained 84% with active category and extremely active. Then can be said that the scientific approach and peer teaching model can improve students’ understanding of mathematics class VIIA MTs Al-Munawaroh Merauke. DOI: https://doi.org/10.30862/jhm.v1i2.1044
The impact of GeoGebra AR on students' geometric thinking based on Van Hiele theory Ruslau, Maria Fransina Veronica; Oswaldus Dadi; Nurlianti
Journal of Honai Math Vol. 8 No. 1 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v8i1.871

Abstract

Traditional instructional approaches to teaching three-dimensional (3D) geometric shapes are often ineffective in promoting student engagement and deep conceptual understanding of geometric principles. This study investigates the integration of GeoGebra Augmented Reality (AR) as an innovative pedagogical tool for the enhancement of 3D geometry instruction and assesses its effectiveness in developing students' geometric thinking, based on Van Hiele’s theoretical framework. A series of interactive learning lessons facilitated students interactive with 3D models and dynamic simulations, aimed at fostering more robust conceptual understanding. The research employed a one-group pretest-posttest design involving 60 secondary school students who participated in geometry learning using GeoGebra AR. Data were collected through a geometric thinking test and categorized according to Van Hiele’s level taxonomy. Statistical analysis using the Wilcoxon signed-rank test revealed a significant improvement in students' geometric thinking levels following the intervention (p < 0.05), leading to the rejection of the null hypothesis. These findings provide empirical support for the effectiveness of GeoGebra AR in advancing students’ Van Hiele levels and enhancing their comprehension of geometric concepts. These results highlight the potential of GeoGebra AR as a pedagogically valuable tool for supporting students’ cognitive development in geometry and increasing their engagement in mathematics learning. Further investigations are recommended to examine the long-term impacts of GeoGebra AR across diverse educational contexts and demographic settings.   
ANALISIS POTENSI DIRI MAHASISWA TERHADAP MINAT MENJADI GURU MATEMATIKA Datu, Rianto Pali'; Ruslau, Maria Fransina Veronica; Suryani, Dessy Rizki
Jurnal Magister Pendidikan Matematika (JUMADIKA) Vol 4 No 1 (2022): Jurnal Magister Pendidikan Matematika (JUMADIKA)
Publisher : Prodi Magister Pendidikan Matematika Pascasarjana Universitas Pattimura Ambon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/jumadikavol4iss1year2022page12-16

Abstract

The purpose of this study is to analyze and describe students' self-potential from the potential sources of IQ and potential EQ for interest in becoming mathematics teachers. The method used in this study is a qualitative descriptive method with the subject of this research being students majoring in mathematics education who collect 87 students. The technIQue of collecting data using tests and filling out questionnaires. The test is used to obtain student IQ data, while filling out the questionnaire sheet is used to obtain EQ data and students' interest in becoming a teacher. Data acquisition through tests and questionnaire filling is done online by using the help of Google Form media. Based on the results of data processing there are still students who are lacking in terms of IQ, but students have a good EQ with considerable interest in the teaching profession. Good student EQ through self-awareness contributed 60%, independent students contributed 51%, student motivation contributed 92%, student empathy contributed 89%, and students' social skills contributed 69%. Besides that students' interest to become teachers is approved through awareness, emotions, and conation. Student cognition contributed 94%, student logistics contributed 93%, and contribution or contribution 62%. Thus it can be concluded that mathematics education students are quite ready to become a teacher
Application of Beddington DeAngelis Response Function in Ecological Mathematical System: Study Fish Endemic Oliv Predator Species in Merauke Pratama, Rian Ade; Ruslau, Maria Fransina Veronica
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.5340

Abstract

Predator-prey type fishery models Oliv fish is a trans-endemic predator species that inhabits freshwater swamps and brackish water in Merauke, Papua. Maintaining the survival of the Oliv fish species is the main reason for compiling a mathematical model, so that it can be considered by local governments in making ecological policies. Method on model discussed is assembled with the growth of predator-prey populations following the growth of logistics. The response or predatory function corresponding to the behavior of endemic Oliv fish is the Beddington DeAngelis type. The growth of predatory species uses the concept of growth with stage structure, are divided into mature and immature. Research results show there are four equilibrium points of the mathematical model, but only one point becomes the asymptotic stable equilibrium point without harvesting W_4 (x^*,y^*,z^* )=92.823,1311.489,525.957 and equilibrium point with harvesting W_4 (x^*,y^*,z^* )=95.062,92.639,160.466 . Harvesting exploitation efforts are carried out by the community so that the harvesting variables are added with a proportional concept. Simulation of the results of the study shows a stable scheme and harvesting conducted can maintain the number of populations that continue. 
A Bayesian Ordinal Analysis of Students’ Progression Across Van Hiele Levels Ruslau, Maria Fransina Veronica; Pratama, Rian Ade; Meirista, Etriana
Jurnal Varian Vol. 9 No. 1 (2026)
Publisher : Universitas Bumigora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30812/varian.v9i1.6079

Abstract

Understanding students’ progression across hierarchical levels of geometric reasoning requires analytical approaches that respect ordinal structure and quantify uncertainty. The purpose of this study is to model students’ progression across Van Hiele levels probabilistically and to estimate level-specific transition probabilities under uncertainty using paired pretest–posttest data from Grade 8 and Grade 9 students. The method used in this study is Bayesian ordinal regression with a cumulative logit specification estimated via MCMC sampling. Van Hiele levels were modeled as ordered categorical outcomes, and posterior summaries, transition matrices, and posterior predictive checks were used to characterize progression and assess model adequacy. The results indicate that progression is predominantly upward in both grades, with negligible posterior support for regression. Grade-dependent differences are evident: Grade 8 shows broader, more heterogeneous transitions from a uniformly low baseline, whereas Grade 9 exhibits more constrained, incremental progression from a higher, more dispersed initial distribution. Posterior predictive checks confirm that the model adequately reproduces the observed posttest patterns, supporting the validity of the Bayesian ordinal specification. Pedagogically, these findings imply that students at lower baseline levels tend to undergo broader conceptual shifts, whereas those at higher levels require sustained, targeted instructional support to advance further. These findings indicate that baseline ordinal structure shapes progression dynamics and that Bayesian ordinal modeling offers a coherent alternative to significance-based approaches for analyzing hierarchical learning outcomes. Educationally, this underscores the need to align instruction with students’ initial Van Hiele levels to support optimal conceptual advancement.
Co-Authors Datu, Rianto Pali' Ernawati, Lusia Greitha Meirista, Etriana Mutmainnah, Linda Za’farani Nur?aini, Khumaeroh Dwi Nurlianti Oswaldus Dadi Palobo, Markus Pratama, Rian Ade Suryani, Dessy Rizki Suryani, Dessy Rizky