ترسیم نقشه‌ی علمی و تحلیل شبکه‌ی هم‌رخدادی واژگان پایان‌نامه‌های کارشناسی ارشد و دکتری آموزش ریاضی در دانشگاه‌های مطرح ایران

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، گروه ریاضی، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران

2 * استادیار گروه ریاضی، واحد اهر، دانشگاه آزاد اسلامی، اهر، ایران

3 دانشیار گروه آمار، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران

4 استادیار گروه ریاضی، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران

چکیده

بررسی برون‌دادهای علمی دانشگاه‌ها، به منظور شناسایی موضوعات مورد توجه محققان و چالش‌های احتمالی برای تحقیقات ‌آتی آنان، از جمله مهم‌ترین مطالعات محسوب می‌شود. پژوهش حاضر با هدف ترسیم نقشه‌ی ‌علمی و تحلیل هم‌رخدادی واژگان در پایان‌نامه‌های آموزش ‌ریاضی هفت دانشگاه مطرح ایران انجام می‌شود.
روش‌شناسی: این پژوهش کاربردی، با رویکرد تحلیلی-توصیفی و مبتنی بر تکنیک علم‌سنجی است که با استفاده از شاخص‌های تحلیل شبکه‌ی‌اجتماعی صورت گرفته و جامعه‌ی آماری آن شامل 1123 پایان‌نامه‌ی ارشد و دکتری آموزش ‌ریاضی مورد پذیرش داوران از سال 1380 تا 1401 است. تحلیل داده‌ها به وسیله‌ی نرم‌افزارهای اکسل، راورماتریس، یوسی‌نت، نت‌دراو و وی.اُ.اس‌ویوور انجام شده است.
یافته‌ها: تولیدات علمی حوزه آموزش ‌ریاضی در مقطع تحصیلات تکمیلی رشد نسبی داشته‌ و بیشینه آن در سال‌های 1390 و 1396 ‌‌است. از نظر شاخص مرکزیت ‌درجه عملکردریاضی و به لحاظ شاخص مرکزیت نزدیکی و بینابینی آموزش ‌ریاضی و یادگیری اهمیت بیشتری در بین سایر واژگان دارند. این سه عبارت همراه با کلیدواژه‌ی حل‌مسئله پربسامدترین واژگان در بین عناوین پایان‌نامه‌ها می‌باشند و چگالی آن‌ها در نقشه‌ی‌علمی بالاترین سطح را دارد.
نتیجه‌گیری: نتایج نشان می‌دهد عملکردریاضی دغدغه‌ی پژوهشگران است. آموزش ریاضی و یادگیری با ایجاد پیوند قوی‌تر با سایر مقوله‌ها، نقش مهم‌تری در انتقال اطلاعات بین موضوعات مختلف دارند.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Drawing a scientific map and analyzing the co-occurrence network of master's dissertations and doctoral theses in mathematics education at Iranian universities

نویسندگان [English]

  • Vahideh Soleymani Rad 1
  • Younes KarimiFardinpour 2
  • Mohammad Hassan Behzadi 3
  • Ahmad Shahvarani Semnani 4
1 Phd Candidate in Mathematics Education, Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 Assistant Professor in Mathematics Education, Department of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran
3 . Associate Professor in Statistics, Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran
4 Assistant Professor in Mathematics Education, Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, E-mail: Ahmad.shahvarani@yahoo.com
چکیده [English]

Abstract
Purpose: Studying the scientific research output of universities to identify researchers' interests and potential challenges for future research is considered a crucial endeavor. Mathematical education has recently garnered attention from universities, leading to an increase in student numbers pursuing graduate studies in this field. To facilitate planning and policymaking, it is essential to review and analyze past research, examine mathematics education theses, and create a scientific map to comprehend topic distribution, analyze influential research concepts, and pinpoint research gaps. This study aims to construct a scientific map and analyze word co-occurrences in mathematics education theses from seven prominent universities in Iran.
Methodology: The current research aims to investigate the co-occurrence of keywords in master's and doctoral theses in the field of mathematics education at prominent Iranian universities. This study utilizes a descriptive-analytical approach based on social network analysis indicators. The statistical population includes 1123 theses from universities such as Shahid Rajaee Teacher Training University, Shahid Beheshti University, Ferdowsi University, Bahonar University, Chamran University, Islamic Azad University of Science and Research Branch, and Islamic Azad University of Zahedan Branch, spanning from 2001 to 2022. Data collection involves creating a checklist with thesis information, followed by four stages of data preparation, keyword matrix formation, social network analysis indicator calculation, co-occurrence graph creation, and scientific map generation using software like Excel, Ravar Matrix, cinetic, NetDraw, and VOSviewer.
Findings: The research findings indicate that scientific output in the field of mathematics education at the university level has increased over time, peaking in 2011 and 2017. However, there has been a gradual decline in output since 2011, with a more pronounced decrease since 2020. Despite this decrease, the total number of doctoral dissertations has risen between 2017 and 2023, and there has been an increase in the number of theses produced since 2016. One of the most important indicators in social network analysis is centrality, which comes in various forms and indicates the positions of specific nodes within the network. In the present study, three types of centrality indicators, namely degree centrality, betweenness centrality, and closeness centrality, were utilized. The results indicate that mathematical performance is the most influential term among theses and has had access to a larger network. Following that, mathematical education, problem-solving, learning, and various teaching methods have influenced the subjects of theses more. The findings have shown that educational and learning keywords have a higher level of centrality and serve as mediators in communication and coherence among other terms, playing a vital role in information transfer. The results indicate that mathematical education learning and mathematical performance have the closest centrality and are linked with the least distance to other terms.
Conclusion: The findings indicate a relative decline in the production of master's theses in mathematics education since the year 2020, attributed to the spread of the coronavirus and a decrease in university activities. Analysis of keywords in the thesis titles revealed that mathematics education had the highest frequency, followed by words like learning, mathematical performance, problem-solving, and various teaching methods, highlighting the significance of these concepts in the research within the field of mathematics education. Examination of the educational levels of the theses also showed that nearly half of the educational research in Iran's mathematics education was conducted at the secondary school level (high school), followed by the middle school level (high school) and elementary school level, indicating a focus on school mathematics in educational research. In this regard, for future research in this field, further study on topics such as pre-school mathematics education, vocational and professional training, in-service courses, higher education, and postgraduate studies is recommended. Analysis of the co-occurrence relationships of vocabulary present in thesis titles reveals that mathematical performance is the most influential term and has a broader network. On the other hand, due to having the highest centrality indices, mathematical education, and learning are subjects that play the most prominent intermediary role among other thesis topics, establishing a more effective relationship and continuity among them. This implies that these topics have had the highest information transfer burden among the selected concepts by researchers, considering the nature of the mathematical education focus, which is centered on the way mathematical instruction and learning are defined. The results show that mathematical education, learning, and mathematical performance have the highest degree of centrality proximity, establishing minimal distance from other subjects. The co-occurrence mapping of vocabulary indicates that pairs of vocabulary such as content analysis-textbooks, problem solving-math performance, math education-learning, and math education-math performance have the highest level of co-occurrence, reflecting researchers' approach to mathematical education research topic selection. These findings suggest that most studies conducted using content analysis have focused on textbooks.

Keywords: Master's and doctoral theses, Mathematics education, Co-occurrence, Scientific map, Scientometrics

کلیدواژه‌ها [English]

  • Master's and doctoral theses
  • mathematics education
  • vocabulary co-occurrence
  • scientific map
  • scientometrics