scholarly journals Prospective mathematics teachers’ argumentation structure when constructing a mathematical proof: The importance of backing

2019 ◽  
Vol 12 (1) ◽  
pp. 43-59
Author(s):  
Christina Martha Laamena ◽  
Toto Nusantara
Keyword(s):  
Data Analysis ◽  
Qualitative Study ◽  
Mathematics Teachers ◽  
Mathematical Proof ◽  
Algebraic Function ◽  
Think Aloud ◽  
Argumentation Scheme ◽  
Argumentation Structure ◽  
Prospective Mathematics Teachers ◽  
Depth Interviews

[English]: This qualitative study with phenomenology design aims to investigate the use of backing and its relation to rebuttal and qualifier in prospective mathematics teachers’ (PMTs) argumentation when constructing a mathematical proof about algebraic function. The data were collected through subjects' works on the proof, recorded think-aloud data, and in-depth interviews. Data analysis was guided by Toulmin’s argumentation scheme. The results show that the PMTs used three types of backing, i.e., backing in the form of definitions or theorems (reference backing), examples of numbers (numerical backing) and graphs of functions (graphical backing). The PMTs utilized the backings to strengthen deductive and inductive warrant. A numerical backing is used when a warrant cannot justify the truth of a claim. Graphical backing is used to convince oneself about the truth of the data that has been made while the reference backing is only clarification when students have understood or have knowledge of the statement given. Numerical and graphical backing relate directly to rebuttal and provide counter-examples and qualifier of the claim. A numerical backing makes students more confident about claims that are generated compared to reference backing. Keywords: Argumentation, Mathematical proof, Backing [Bahasa]: Penelitian kualitatif dengan desain fenomenologi ini bertujuan untuk menyelidiki penggunaan backing dan hubungannya dengan rebuttal dan qualifier dalam membangun bukti matematika terkait fungsi aljabar oleh calon guru matematika. Data dikumpulkan melalui hasil kerja siswa, rekaman think aloud, dan wawancara mendalam. Analisis data merujuk pada skema argumentasi Toulmin. Hasil penelitian menunjukkan bahwa backing yang digunakan siswa tidak hanya berbentuk teorema atau definisis (reference backing) tetapi juga contoh-contoh bilangan (numerical backing) dan grafik fungsi (graphical backing). Ketiga jenis backing tersebut untuk memperkuat warrant induktif maupun deduktif. Numerical backing digunakan ketika warrant tidak dapat menjustifikasi kebenaran klaim. Graphical backing digunakan untuk meyakinkan diri sendiri tentang kebenaran klaim yang telah dibuat sedangkan reference backing hanya bersifat klarifikasi karena siswa telah memahami pernyataan yang diberikan. Numerical backing dan graphical backing berhubungan langsung dengan rebuttal untuk memberikan contoh penyangkal dan jaminan kebenaran (qualifier) klaim. Numerical backing membuat siswa lebih percaya diri tentang klaim yang dihasilkan dibandingkan dengan reference backing. Kata kunci: Argumentasi, Bukti matematis, Backing  

scholarly journals NILAI-NILAI SUFISME DALAM JAMAAH SHALAWAT WAHIDIYYAH DI KEDIRI DAN MALANG

2017 ◽  
Vol 1 (2) ◽  
pp. 1-28
Author(s):  
Fatkhul Wahab ◽  
Ahmad Bukhori ◽  
Athiyah
Keyword(s):  
Data Analysis ◽  
Qualitative Study ◽  
Data Reduction ◽  
Participant Observation ◽  
Religious Tradition ◽  
Analysis Techniques ◽  
Muslim Communities ◽  
The Right ◽  
Depth Interviews

Among Muslim communities, love of the Prophet Muhammad embodied in a religious tradition known as shalawāh tradition. Shalawāh is an expression of deep gratitude for the guidance to Muslims on the right path. Sufism that emphasizes reading Shalawāh of the Prophet Muhammad as dhikr primarily is Shalawāh Wāhidiyah. The main purpose of Shalawāh Wāhidiyah is to alleviate people from the shirk and return to the straight and true that by pleasing Allah. The focuses of this study are: (1) how do the precepts and values of Sufism in the Jamaat Shalawāh Wāhidiyah? (2)  How do the precepts and values are promoted and practiced by Jamaat Shalawāh Wāhidiyah? (3)  How does the experience of spirituality Jamaat Shalawāh Wāhidiyah? This study is a qualitative study by using a naturalistic paradigm and phenomenology approach. The data were collected by in-depth interviews, participant observation, and documentary in the form of journals, magazines and so on. While the data analysis techniques include data reduction, presentation of data, the validity of the data and drawing conclusions. The results of this study indicate that: (1) Shalawāh Wāhidiyah precepts include: a. li Allāh, bi Allāh; b. li al-RasÅ«l, bi al-RasÅ«l; c. li al-ghauts bi al-ghauts; d. yu'thÄ« kull dzÄ« ḥaqq; e. taqdÄ«m al-hamm tsumm al-hamm, fa al-fa’ tsumm al-fa'. The values contained in Shalawāh Wāhidiyah Sufism, among others: taubah, ikhlāsh, syukr, mahabbah. (2) Socialization Shalawāh Wāhidiyah precepts are done by 1. individual, 2. packaged in a formal form as mujāhadah nishf al-sanah and mujāhadah kubrā, 3. through dreams, 4. implemented in the form of books, magazines, newsletters, and CDs. While this practice Shalawāh Wāhidiyah carried out in different ways mujāhadah usbÅ«'iyyah, mujāhadah syahriyyah, mujāhadah rub’ al-sanah, mujāhadah nishf al-sanah, and so forth. Keywords: The values of Sufism, Shalawāh Wāhidiyah

scholarly journals TIPE PEMBUKTIAN MAHASISWA CALON GURU MATEMATIKA

2021 ◽  
Vol 10 (1) ◽  
pp. 351
Author(s):  
Mu'jizatin Fadiana ◽  
Yulaikah Yulaikah ◽  
Lajianto Lajianto
Keyword(s):  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Deductive Reasoning ◽  
Mathematical Proof ◽  
Inductive Reasoning ◽  
Tertiary Institution ◽  
Simple Task ◽  
Descriptive Research ◽  
Prospective Mathematics Teachers ◽  
Quantitative Descriptive

The ability to prove formal mathematics is an important ability that must be mastered by undergraduate prospective mathematics teachers. However, students who are prospective mathematics teachers have difficulty in constructing proof in mathematics courses. Therefore, this study aims to explore the tendency of mathematical proof methods for prospective mathematics teachers in second year lectures. The method used in this research is quantitative descriptive research. Participants in this study were 30 prospective mathematics teachers at a tertiary institution in Tuban, East Java. The research instrument is a simple task of compiling mathematical evidence. The results of the study were analyzed using the classification of types of proof by Miyazaki, namely classifying the types of deductive and inductive reasoning. The results showed that prospective mathematics teachers had a greater tendency to use deductive reasoning than using inductive reasoning. Type A proof is the most common type of proof. In addition, around 70% of prospective teachers still experience difficulties in compiling evidentiary tasks.

scholarly journals INTERGENERATIONAL RELATIONSHIPS AMONG OLDER ADULTS AND GRANDCHILDREN: SUPPORTIVE AND CONFLICTUAL RELATIONSHIPS

2019 ◽  
Vol 3 (Supplement_1) ◽  
pp. S179-S179
Author(s):  
Sofia von Humboldt ◽  
Ana Monteiro ◽  
Isabel Leal
Keyword(s):  
Older Adults ◽  
Data Analysis ◽  
Qualitative Study ◽  
Intergenerational Relationships ◽  
Two Dimensions ◽  
Interaction Quality ◽  
Depth Interviews ◽  
At Home

Abstract Objectives: To analyze how older adults conceptualize these intergenerational relationships. Methods: In this qualitative study, in-depth interviews were carried out with 316 older adults, aged 65-102, from three different nationalities who lived at home. Verbatim transcripts were examined. Results: Data analysis generated six themes representing intergenerational relationships: affection and reward; interest and integration; grandparent-grandchild interaction quality; privacy and boundaries definition; provision of support; and obligation of providing childcare, on two dimensions of ambivalence concerning their intergenerational relationships (supportive and conflictual). Conclusions: The empirical findings from this research indicate how ambivalence in intergenerational relationships is experienced by older adults and stress the contradictory expectations of older adults with grandchildren. Keywords: Ambivalence; conflict; intergenerational relationships; older adults; support.

Reviews: Fear of the Unknowns

1983 ◽  
Vol 14 (2) ◽  
pp. 126-129
Author(s):  
Joanne Rossi Becker
Keyword(s):  
Qualitative Study ◽  
Mathematics Teachers ◽  
Mathematics Anxiety ◽  
Theoretical Framework ◽  
Target Audience ◽  
Mathematics Educators ◽  
And Mathematics ◽  
Depth Interviews ◽  
Three Components

Although the title of this book implies a target audience of math-anxious people, it is equally, if not more, suitable for teachers of mathematics and mathematics educators. Do You Panic about Maths? Coping with Maths Anxiety attempts to build a model of the interaction between reason and emotion to explain the behavior of adults anxious about mathematics. The model was derived from a qualitative study of adults that had three components: hour-long interviews with two dozen people; 36 2-hour sessions with a group of four women and three men; and individual in-depth interviews, consisting of 12 or 24 sessions, with three women. Buxton relates his model to the work of Skemp, with whom he has collaborated. Indeed, he has extended Skemp's (1979) model of intelligence in this book. In addition to the theoretical framework he discusses, Buxton provides some ideas for coping with one's mathematics anxiety and gives suggestions for mathematics teachers about how to teach to avoid or combat students' anxiety.

scholarly journals Self Efficacy Calon Guru Matematika

2020 ◽  
Vol 9 (3) ◽  
pp. 419-428
Author(s):  
Tina Sri Sumartini
Keyword(s):  
Data Analysis ◽  
Mathematics Teachers ◽  
Self Efficacy ◽  
Mathematical Knowledge ◽  
Research Method ◽  
Sampling Technique ◽  
The Self ◽  
Teaching Mathematics ◽  
Purposive Sampling ◽  
Prospective Mathematics Teachers

AbstrakSelf-efficacy calon guru matematika masih kurang. Oleh karena itu, perlu dilakukan analisis mengenai self-efficacy calon guru matematika sehingga dapat diketahui aspek self-efficacy yang perlu ditingkatkan. Tujuan penelitian ini yaitu untuk menganalisis self-efficacy calon guru matematika dalam mengajar matematika. Metode penelitian yang digunakan yaitu kualitatif dengan menggunakan teknik purposive sampling. Sampel yang diambil sebanyak tiga orang calon guru matematika jurusan pendidikan matematika di Institut Pendidikan Indonesia. Analisis data dilakukan secara kualitatif. Hasil penelitian menunjukkan bahwa calon guru matematika memiliki keyakinan dalam penguasaan pengetahuan matematika, namun merasa kurang yakin bahwa dirinya mampu untuk menyampaikan materi matematika kepada siswa. Kurangnya keyakinan ini berakibat pada kemampuan pedagogis calon guru matematika.  Self-Efficacy of Mathematics Prospective TeachersAbstractThe self-efficacy of prospective mathematics teachers is still lacking. Therefore, it is necessary to analyze the self-efficacy of prospective mathematics teachers so that it can be seen which aspects of self-efficacy need to be improved. The purpose of this study was to analyze the self-efficacy of prospective mathematics teachers in teaching mathematics. The research method used is qualitative by using a purposive sampling technique. The sample taken was three prospective mathematics teachers majoring in mathematics education at the Indonesian Institute of Education. The data analysis was done qualitatively. The results showed that the prospective mathematics teacher had confidence in the mastery of mathematical knowledge, but felt less confident that he was able to convey mathematics material to students. This lack of confidence results in the pedagogical abilities of prospective mathematics teachers.

scholarly journals Challenges for Global Learners: A Qualitative Study of the Concerns and Difficulties of International Students

2016 ◽  
Vol 6 (2) ◽  
pp. 501-526
Author(s):  
Chetanath Gautam ◽  
Charles L. Lowery ◽  
Chance Mays ◽  
Dayan Durant
Keyword(s):  
United States ◽  
Data Analysis ◽  
International Students ◽  
Qualitative Study ◽  
Small Town ◽  
The United States ◽  
Initial Survey ◽  
Educational Journeys ◽  
Depth Interviews ◽  
Purposive Sample

The authors in this study seek to inform academia about international students’ experiences and challenges while attending universities in Small Town USA. Despite their eagerness to study in the United States (U.S.), international students are faced with setbacks that many universities fail to recognize or realize. The researchers conducted in-depth interviews with a purposive sample of students using questions based on information from the literature and an initial survey. The themes that emerged from the data analysis were language, jobs/finances, transportation, assimilation, religious interactions, and identity. Findings emphasize the imperative to understand the challenges these students face as they continue their educational journeys in the United States.

scholarly journals Midwife's Experience Working During The Outbreak of COVID-19 in Seluma Regency, Bengkulu Province: A Qualitative Study Protocol

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Poppy Siska Putri
Keyword(s):  
Data Analysis ◽  
Qualitative Study ◽  
Coping Strategies ◽  
Health Workers ◽  
Social Conditions ◽  
Professional Experiences ◽  
Increased Risk ◽  
Risk Of Exposure ◽  
And Coping ◽  
Depth Interviews

AbstractThe Coronavirus Disease (Covid-19) pandemic has been declared a global problem. The increased risk of exposure to infection and death is faced by health workers, including midwives, who often have a dual role in providing services. This study aims to understand and discuss the experiences of midwives working during the Covid-19 pandemic, focusing on midwife professional experiences, physical, psychological, and social conditions, challenges encountered, and coping strategies while working. The data will be obtained by interviewing midwives using in-depth interviews. The interview will be conducted online, recorded, and transcribed verbatim. Data analysis will be performed using the Colaizzi method and the findings are discussed with the expert to form a category or theme.Keyword : Working experience, Midwife, Healthcare

scholarly journals Reflecting on the Challenges encountered by nurses at the great Kermanshah Earthquake: A qualitative study 

2020 ◽  
Author(s):  
Alireza Abdi ◽  
Aliakbar Vaisi -Raygani ◽  
Bahareh Najafi ◽  
Hamid saidi ◽  
khalil moradi
Keyword(s):  
Content Analysis ◽  
Data Analysis ◽  
Qualitative Study ◽  
Human Resources ◽  
Healthcare Providers ◽  
Educational Management ◽  
National Team ◽  
The Past ◽  
Conventional Content Analysis ◽  
Depth Interviews

Abstract Background: Iran has experienced an increasing number of earthquake disasters in the past three decades. Nurses are the largest group of healthcare providers that play an important role in responding to disasters. Therefore, this study aimed to explore the nursing challenges to provide care to the injured in the Kermanshah earthquake, Iran. Methods: The present study was conducted as a qualitative conventional content analysis, and data collection was carried out through 16 semi‑structured and in‑depth interviews with the nurses involved in providing care to the injured in the Kermanshah earthquake. The data were analyzed following Graneheim and Lundman’s approach.Results: Data analysis led to the emergence of 453 primary codes, 14 subcategories, and 5 categories. The five categories were as follows: (a) organizational and managerial challenges; (b) human resources; (c) infrastructure; (d) educational system; (e) and ethical.Conclusion: The results of this study showed that nurses faced several challenges in providing care to earthquake victims. Based on these findings, better educational management and planning, infrastructure reform, and establishment of a crisis nursing national team seem necessary.

scholarly journals SYMBOLIC MEANING OF KESANDINGAN RITUAL IN PROBOLINGGO

2021 ◽  
Vol 23 (1) ◽  
pp. 123-138
Author(s):  
Nurhadi Nurhadi ◽  
Faisol Faisol ◽  
Faisal Mahmoud Adam Ibrahim
Keyword(s):  
Data Analysis ◽  
Qualitative Study ◽  
Communication Process ◽  
Symbolic Meaning ◽  
Heat Illness ◽  
Symbolic Communication ◽  
Cultural Phenomenon ◽  
Holy Water ◽  
Religious Elements ◽  
Depth Interviews

Kesandingan, one of the rituals in Probolinggo, East Java, is a cultural phenomenon that mingles with religious elements of society. It is something sacred and mystical that parents do when a toddler (an infant under three years old) experiences heat illness for days, tends to be fussy, cries a lot, and cannot sleep at night. This research aims to explain the process of symbolic communication of kesandingan ritual and to understand the symbolic meaning behind the ritual. It is a descriptive-qualitative study through observation, in-depth interviews, and documentation. The data analysis uses a qualitative-naturalistic technique. The result demonstrates that the symbolic communication process of kesandingan ritual in Mentor, Sumberasih, Probolinggo, comprises seven series: burning incense, wiping incense smoke on the child's face, giving the child holy water to drink, wiping the child with floral water, preparing food, making a wish on the child's bed, and distributing food. Meanwhile, the symbolic meaning of kesandingan ritual refers to divine, social and personal dimensions. Ritual kesandingan merupakan salah satu ritual masyarakat Probolinggo Jawa Timur yang sudah menjadi fenomena budaya yang berbaur dengan unsur religi masyarakat. Ritual kesandingan merupakan sesuatu yang sakral dan mistis yang dilakukan orang tua saat anak batita (bawah tiga tahun) mengalami sakit panas berhari-hari, rewel, kerap menangis dan tidak bisa tidur terutama malam hari. Tujuan penelitian ini untuk menjelaskan proses komunikasi simbolik ritual kesandingan dan memahami makna simbolik dibalik ritual tersebuat. Penelitian ini merupakan penelitian deskriptif-kualitatif, pengumpulan datanya melalui observasi, wawancara mendalam, dan dokumentasi. Sedangkan analisis datanya menggunakan teknik analisa data kualitatif-naturalistik. Sebagai hasilnya, diketahui bahwa proses komunikasi simbolik ritual kesandingan di desa Mentor Kecamatan Sumberasih Kabupaten Probolinggo meliputi tujuh rangkaian yaitu: membakar kemenyan, mengusap asap kemenyan ke wajah anak, memberi minuman kepada anak dengan air doa, mengusap wajah anak dengan air bunga, menyiapkan makanan, memanjatkan doa ditempat tidur anak, dan membagikan makanan. Sedangkan makna simbolik ritual kesandingan mencakup tiga dimensi, yaitu: dimensi ketuhanan, sosial, dan personal.

scholarly journals Analisis Pemahaman Calon Guru Matematika terhadap Konsep Garis dan Sudut

2019 ◽  
pp. 83-94
Author(s):  
Udiyono Udiyono ◽  
Muhammad Ridlo Yuwono
Keyword(s):  
Data Analysis ◽  
Mathematics Teachers ◽  
Sampling Technique ◽  
Test Results ◽  
Data Presentation ◽  
On Line ◽  
Prospective Mathematics Teachers ◽  
Level Of Understanding ◽  
Material Line

This study aims to determine the level of understanding of prospective mathematics teachers on line and angle material and their causes. This research is a case study. Subjects were selected using purposive sampling technique. This research instrument is an understanding test and interview guidelines. Method triangulation techniques are used to compare the results of understanding tests with interviews. Data analysis for understanding test results using a percentage level of understanding formula. Data analysis for interview results is data reduction, data presentation and conclusion drawing. The results showed that the level of achievement of the six aspects of understanding was less than 30%. The conclusions of this study are the level of understanding of prospective mathematics teachers in the material line and angle is still low.

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