Pengaruh Waktu Tunda Yang Kecil Terhadap Stabilitas Eksponensial Seragam Suatu Sistem Persamaan Diferensial

Tesis ini membahas pengaruh waktu tunda yang kecil terhadap kestabilan eksponensial seragam suatu sistem persamaan diferensial. Pembahasan perilaku solusi persamaan diferensial waktu tunda pada tesis ini dilakukan dengan pendekatan semigrup. Terdapat korespondensi antara solusi persamaan diferensial waktu tunda dengan solusi masalah Cauchy abstrak yang terkait. Di samping itu, terdapat syarat-syarat bagi operator yang terkait sehingga masalah Cauchy abstrak dari persamaan diferensial waktu tunda tersebut well-posed. Untuk meninjau kestabilan eksponensial seragam dari sistem persamaan diferensial tersebut, digunakan konsep perturbasi, terutama Teorema Gearhart. Syarat norm continuity dan operator kompak merupakan kondisi-kondisi cukup agar sistem persamaan diferensial tetap stabil eksponensial s

Pengembangan Lembar Kerja Peserta Didik Berbasis Etnomatematika Pada Materi Segitiga dan Segiempat

Penelitian  ini bertujuan untuk menghasilkan produk  Lembar Kerja Peserta Didik (LKPD) berbasis Etnomatematika yang berkualitas baik pada materi Segiempat dan Segitiga.  Untuk mengetahui kualitas dari LKPD yang dihasilkan dilihat dari tiga aspek yaitu kevalidan, kepraktisan dan keefektifan. Metode yang digunakan dalam penelitian ini yaitu research and development(R&D) dengan model pengembangan four-D(4-D) yang dimodifikasi menjadi 3D tahap yaitu define, design, dan develop. Instrumen yang digunakan untuk mengukur kualitas LKPD yaitu angket lembar validasi untuk mengukur kevalidan, wawancara, angket respon guru dan respon peserta didik untuk mengukur kepraktisan, dan tes untuk mengukur keefektifan.Hasil dari penelitian ini menunjukkan kualitas LKPD memenuhi kriteria kevalidan dengan skor rata – rata keseluruhan sebesar 4,8 dan kualitas LKPD memenuhi kriteria kepraktisan dengan skor rata – rata keseluruhan sebesar 4,73 sertapersentase ketuntasan tes peserta didik sebesar 77,7 % memenuhi kriteria keefeektifan.Dengan demikian Pengembangan LKPD berbasis Etnomatematika pada materi segiempat dan segitiga berkualitas baik dan dapat digunakan dalam pembelajaran matematika

PEMBELAJARAN GEOMETRI BIDANG DAN RUANG BERBASIS ETNIS TIMOR

Etnomatematika mengacu pada bentuk-bentuk matematika yang bervariasi sebagai konsekuensi yang tertanam dalam kegiatan budaya. Etnomatematika juga mengacu pada konsep-konsep matematika tertanam dalam praktek-praktek budaya. Etnomatematika mengacu pada bentuk-bentuk matematika yang bervariasi sebagai konsekuensi yang tertanam dalam kegiatan budaya. Geometri sebagai salah satu mata pelajaran yang diajarkan di tingkat Sekolah Dasar dan Sekolah menengah. Pembelajaran geometri berbasis etnis budaya Timor. Siswa dapat mengamati dan menghitung banyaknya bentuk geometri dalam LOPO. Implementasi bentuk-bentuk Geometri (bidang datar dan ruang) dalam pelaksanaan pembelajaran  Geometri berbasis etnis budaya Timor menjadi suatu metode yang tepat. Siswa dapat mengamati dan mengkaji Geometri dalam rumah adat LOPO. Kelompok sasaran dalam kegiatan Pengabdian ini yaitu sekolah-sekolah yang siswanya kebanyakan berasal dari suku dawan (TTU dan TTS serta Kabupaten Kupang). Kelompok sasarannya adalah siswa-siswi SMPN 10.  Agar dapat mengimplementasi bentuk-bentuk geometri dalam pelaksanaan pembelajaran Geometri berbasis etnis budaya Timor, maka dapat dilakukan dengan cara membuat miniatur LOPO yang dibawa ke depan kelas saat kegiatan pembelajaran Geometri. Namun demikian disarankan agar sekolah itu dapat membuat LOPO yang sebenarnya, sehingga  LOPO itu menjadi sumber belajar bagi siswa yang belajar tentang geometri bidang datar dan geometri ruang

Pelatihan Geogebra: Pemodelan Matematika Menggunakan Kalkulus

During the COVID-19 pandemic, everyone has the free opportunity to learn various things and anywhere. Therefore, this service activity provides breadth for all mathematics students/teachers/lecturers in Indonesia to learn about Mathematical Modeling using Calculus, which is assisted by the GeoGebra application. This activity is a collaboration between the Indonesian Mathematical Association (IndoMs), Program Studi Pendidikan Matematika Sanata Dharma, Program Studi Matematika Universitas Kristen Satya Wacana dan Program Studi Pendidikan Matematika Universitas Katolik Widya Mandira. Participants in this activity amounted to 62 (students, teachers and lecturers) from 15 campuses and 5 high schools spread throughout Indonesia. The objectives of this training are for participants to be able to: (1) understand the basic concepts of modeling using calculus; (2) pose everyday problems that can be modeled with calculus; (3) able to use geogebra in completing and analyzing mathematical modeling; and (4) able to communicate the results of mathematical modeling in written and oral form in a structured manner. Based on the evaluation results, this activity can be carried out well and the expected goals can be achieved.Di masa pandemi covid-19, semua orang mempunyai kesempatan yang bebas untuk belajar berbagai hal dan di mana saja. Oleh karena itu, kegiatan pengabdian ini memberikan keluasan kepada seluruh mahasiswa/guru/dosen matematika di Indonesia untuk belajar tentang Pemodelan Matematika menggunakan Kalkulus, yang dibantu oleh aplikasi GeoGebra. Kegiatan ini merupakan kerjasama antara Himpunan Matematika Indonesia (IndoMs), Program Studi Pendidikan Matematika Sanata Dharma, Program Studi Matematika Universitas Kristen Satya Wacana dan Program Studi Pendidikan Matematika Universitas Katolik Widya Mandira. Peserta dalam kegiatan ini berjumlah 62 (mahasiswa, guru dan dosen) yang berasal dari 15 Kampus dan 5 Sekolah Menengah yang tersebar di seluruh Indonesia. Tujuan dari pelatihan ini adalah peserta dapat: (1) memahami konsep dasar pemodelan menggunakan kalkulus; (2) mengajukan masalah sehari-hari yang dapat dimodelkan dengan kalkulus; (3) mampu menggunakan geogebra dalam menyelesaikan dan menganalisa pemodelan matematis; dan (4) mampu mengkomunikasikan hasil pemodelan matematis dalam bentuk tulisan maupun lisan secara terstruktur. Berdasarkan hasil evaluasi, kegiatan ini dapat terlaksana dengan baik dan tujuan yang diharapkan tercapa

Kategorisasi Kemampuan Literasi Matematika Siswa SMP Negeri Se-Kota Kupang Berbantuan Fuzzy Inference System Metode Mamdani

This survey aims to describe the mathematical literacy of state junior high school students in Kupang city, East Nusa Tenggara province. It was done not only due to the low achievement of Indonesian 15-year-old students in PISA but also because there are no surveys which had been done before to map the mathematical literacy of students in Kupang city. A total of 377 respondents who were the ninth grade students representing six state junior high schools in Kupang were collected by two-stage cluster randomized sampling. The students were assessed using fifteen problems adopted from PISA 2012 and some development researches with a product of mathematical literacy problems so that those items were highly reliable to measure students mathematical literacy. The categorization of students mathematical literacy was carried out using Mamdani’s Fuzzy Inference method. The input of fuzzification was a score of three process domains assessed by those fifteen problems, specifically formulating, employing, and interpreting. The output of defuzzification was students mathematical literacy score used to determine the category of students mathematical literacy. The results showed that the mathematical literacy of state junior high school students in Kupang city was generally classified as a low category

Kemampuan Pemecahan Masalah Matematis Ditinjau Berdasarkan Kecerdasan Emosional Siswa Kelas VII SMP

The research aims to get an overview about the ability of students in solving mathematical problem based on their emotional intelligence. This is qualitative research with a case study design. The subjects of this research were seventh-grade students who has high emotional intelligence, consisting of a student from catholik junior high school in Kefamenanu and one students from state secondary school in Kota Kupang, They were obtained using purposive. The data were collected using a questionnaire of emotional intelligence, a mathematical problem-solving task, and a interview sheet. The analysis of what is obtained from both subjects, being the high crossing of catholik junior high school students Kefamenanu, it is obtained from cross-leg’s ability: students can understand the matter, make quick plans, to implement completion plans and examine back. The state junior high school in Kupang have the ability of low-vang problems acquired from abilities of emerging problems: students cannot understand matter, students are less able to create completion plans and students cannot examine the return settlement sequence

Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa melalui Metode Penemuan Terbimbing

This research aims to know the effect of guided discovery method in increasing the students’ mathematical problem solving ability. The type of the research is quantitative with pre experimental design. The experiment used was one group pretest-posttest design. The samples were taken from class VIID which consisted of 30 students, randomly selected from 5 existed classes. The type of the data of this research was premier data. The data collection was done by using tests, each consisted of 5 analysis questions. The technique of analyzing data was t-test showed that  and  at a significant level 5% which means that . Therefore, H0 was refused and Ha was accepted. Hence, a conclusion could be drawn that there was a significant effect in using guided discovery method in increasing the students’ mathematical problem solving ability

Studi Etnomatematika Pada Budaya Masyarakat Larantuka

The environment can become a source of learning in a process of mathematical learning related to the real world. One source learning in the environment is cultural. Mathematical lessons that studied educated participants at school are sometimes different to important transatic problems that encountered in everyday life, makes it more difficult learning participants linking the links of furatic concepts  that  are  formal  with  issues  of  culture.  Etnomathematics  connects cultures with mathematics learning. The purpose of this research is to obtain the description of the value of the impostor’s value and growing up to the cultural society of  Waibalun. This type of  research  is a  qualitative research  with  the Etnographic  design.  Data  collection  by  observation,  interviews  and documentation. The subject in this study is three person taken Purposive against public figures who learn and understand well about indigenous homes. The object of this  research is the Waibalun indigenous home. The results of data analysis show that a) Etnomathematical activity in the process of making Waibalun indigenous   homes,   that   is   measuring,   counting   and   designing;   b)   The mathematical values were found in the Waibalun indigenous home consist of, the angle, rectangle, triangle, trapezium, tube and reflections

Involving underrepresented groups: How unpaid carers influenced our data analysis

Objectives The recent census found that five million people in England and Wales provide unpaid care. With social services struggling, unpaid carers face increasing pressure. The North West London Networked Data Lab aimed to understand unpaid carers’ needs, health issues, and care pathways through public involvement and analysis of linked datasets. Methods We used the Discover dataset containing primary, secondary, mental health, and social care data of 2.5 million North West Londoners to explore our aims. To ensure the questions asked of the data mattered locally, we interviewed five unpaid carers to understand the issues they faced. One carer worked more closely with the data analyst to define the questions. The interim results were presented to a diverse group of unpaid carers to see whether anything resonated with them, surprised them, or required further research. The group also helped develop an engaging and accessible infographic to communicate our findings. Results The unpaid carer cohort in our dataset were, on average, older females from deprived areas, highlighting gender and socioeconomic inequities in caring responsibilities. Unpaid carers had a higher prevalence of long-term conditions before they were identified as a carer (e.g. hypertension, depression, anxiety and diabetes) and were more likely to use healthcare services than non-carers. Through speaking to unpaid carers, we learned that many hadn’t identified as a carer or mentioned it to their GP for many years. In fact, they had only had their carer status recorded after visiting their GP for an issue linked to their caring responsibilities. Our public involvement helped to highlight a major limitation of the data, particularly as men are less likely to interact with their GPs. Conclusion Our analysis found unpaid carers were more likely to have certain conditions and more likely to have multiple long-term conditions. Public involvement was critical in making sense of these findings and identifying policy and practice recommendations. Giving people a meaningful voice in population data research can also build public trust

Tumour-draining axillary lymph nodes in patients with large and locally advanced breast cancers undergoing neoadjuvant chemotherapy (NAC): the crucial contribution of immune cells (effector, regulatory) and cytokines (TH1, TH2) to immune-mediated tumour cell death induced by NAC

Background The tumour microenvironment consists of malignant cells, stroma and immune cells. In women with large and locally advanced breast cancers (LLABCs) undergoing neoadjuvant chemotherapy (NAC), tumour-infiltrating lymphocytes (TILs), various subsets (effector, regulatory) and cytokines in the primary tumour play a key role in the induction of tumour cell death and a pathological complete response (pCR) with NAC. Their contribution to a pCR in nodal metastases, however, is poorly studied and was investigated. Methods Axillary lymph nodes (ALNs) (24 with and 9 without metastases) from women with LLABCs undergoing NAC were immunohistochemically assessed for TILs, T effector and regulatory cell subsets, NK cells and cytokine expression using labelled antibodies, employing established semi-quantitative methods. IBM SPSS statistical package (21v) was used. Non-parametric (paired and unpaired) statistical analyses were performed. Univariate and multivariate regression analyses were carried out to establish the prediction of a pCR and Spearman’s Correlation Coefficient was used to determine the correlation of immune cell infiltrates in ALN metastatic and primary breast tumours. Results In ALN metastases high levels of TILs, CD4+ and CD8+ T and CD56+ NK cells were significantly associated with pCRs.. Significantly higher levels of Tregs (FOXP3+, CTLA-4+) and CD56+ NK cells were documented in ALN metastases than in the corresponding primary breast tumours. CD8+ T and CD56+ NK cells showed a positive correlation between metastatic and primary tumours. A high % CD8+ and low % FOXP3+ T cells and high CD8+: FOXP3+ ratio in metastatic ALNs (tumour-free para-cortex) were associated with pCRs. Metastatic ALNs expressed high IL-10, low IL-2 and IFN-ϒ. Conclusions Our study has provided new data characterising the possible contribution of T effector and regulatory cells and NK cells and T helper1 and 2 cytokines to tumour cell death associated with NAC in ALNs