Mathematics Education Program Research Articles

신문 기사에 나타난 유아 수학에 대한 인식연구

Objectives In this study, the changes in interest and key words by period related to early childhood mathematics appeared in newspaper articles from January 1, 1990 to December 31, 2020 were examined.
 Methods For this purpose, 7,789 articles related to early childhood education were collected through ‘Big Kinds (www.bigKinds.or.kr)’. and 230 articles related to mathematics for earlychildhood were analyzed using buzz anal-ysis and topic modeling techniques.
 Results First, articles on early childhood education increased abou 13.7 times in the 3rd term compared to the 1st term, and articles related to early childhood mathematics increased 24 times in the 3rd term compared to the 1st term. As a result, it was confirmed that social interest in early childhood mathematics increased significantly. Secondly, the results of topic analysis by period: 1st period - ‘Early entry into elementary school’, ‘Establishment of early childhood public education’, 2nd period - ‘Early private education’, ‘Mathematics education approach’, 3rd period - ‘Mathematics and language’ ‘Relationship between mathematics’, ‘Mathematics education program’, and ‘Connectivity between mathematics and gifted education’ were selected as the main themes.
 Conclusions Through this, it was confirmed that social issues regarding early childhood mathematics changed by time, and there was a slight difference from social interest and research trends in academia.

Drama-Based Pedagogy: Ways of Engaging in Mathematics Learning

Mathematics education program always falls under public criticism because of being unable to produce desirable outcomes. From the beginning of formal mathematics education programs in Nepal, mathematics teaching-learning activities have been dominated by the informing and pouring pedagogy for preparing final examinations. Mathematics curricula, contents and pedagogical activities have not bridged the gap between official (formal) mathematics and the learners' lifeworld practices that support creating the mathematical 'Othering'. Likewise, mathematics education programs become unclaimed entity at the crossroads in which no one is willing to take sole responsibility and ownership of the programs but orienting to blame others. Such a blaming culture restrains engaged teaching-learning activities. Against this backdrop, this argumentative paper argues for incorporating the DBP in the mathematics classroom to create an engaged teaching-learning environment. We have metaphorically captured the five significant theoretical features of DBP as/for contextual learning, academic enhancement, reflective practice, agentic development and social wellbeing. Finally, we have briefly described the implications of DBP in mathematics classrooms.

Unveiling the TPACK profile: Exploring mathematics prospective teachers in the micro teaching course

The objective of this research is to ascertain the Technological Pedagogical Content Knowledge (TPACK) profile of prospective mathematics teachers in the microteaching course. The research methodology employed a survey research design. The target population for this investigation comprises prospective mathematics teacher students enrolled at a University in Banten, Indonesia. The sample for this study comprises students in their sixth semester of the Mathematics Education program who are currently enrolled in the microteaching course. The inclusion criteria for the sample require that these students have successfully completed coursework in foundational technology use, pedagogical principles, and both basic and advanced mathematics subjects. The research findings indicate that the majority of students exhibit a high level of Technological Content Knowledge (TCK) and Technological Pedagogical and Content Knowledge (TPACK), with percentages of 50% and 81.25% respectively. On the other hand, the majority of students demonstrate a moderate level of Pedagogical Knowledge (PK) and Technological Pedagogical Knowledge (TPK), with percentages of 56.25% and 31.25% respectively. Moreover, a significant portion of students show a low level of Technological Knowledge (TK) at 31.25%, Content Knowledge (CK) at 37.5%, and Pedagogical Content Knowledge (PCK) at 37.5%. It conluded, most prospective tezchers use the Technological Conten Knowledge (TCK) and Technological Pedagogical and Content Knowledge (TPACK) domains to conduct learning.

A phenomenological study of challenges that prospective mathematics teachers face in developing mathematical problems that require higher-order thinking skills

Assessment in mathematics education in the 21st century should be more directed at higher-order thinking skills (HOTS). Not only teachers but also prospective mathematics teachers should be supported to design and carry out HOTS assessments. This qualitative study applying a phenomenology approach was mainly conducted to investigate the challenges that prospective mathematics teachers face in developing HOTS questions, including their strategies for dealing with these challenges. Our informants were 20 students of master’s program in mathematics education. They were enrolled in the assessment of mathematics learning course, which was designed with a project-based learning model. Considering the learning model used, the purpose of this study then was extended to explore the benefits of implementing a project-based learning model in supporting student competence in developing HOTS questions. Data collection was carried out by (1) administering open-ended questionnaires; (2) observing the end product in the form of mathematics learning achievement tests and test blueprints; and (3) involving two experts who worked independently to judge the questions posed by students based on levels in the cognitive process dimension in the revised Bloom’s taxonomy. Data collected from the open-ended questionnaire were analyzed qualitatively, while data from observation and judgment by experts on the end product yielded by students were analyzed descriptively. Our study supports previous studies, which demonstrate that the application of a project-based learning model that involves students to develop HOTS questions deepens students’ knowledge of assessment. In developing HOTS questions, students struggled more in matching action verbs, item indicators, and test items to the level of cognitive process they defined, as well as constructing multiple-choice HOTS questions. The strategies that students took in dealing with challenges that arose in developing HOTS questions indicate that students regulate their learning.

TPACK Correlates Mathematics Teachers’ Performance in Selected Private Higher Education Institutions (PHEIS)

Technological pedagogical content knowledge (TPACK) is a framework that views teachers' knowledge necessary for curriculum design and instruction focused on preparing their students for thinking and learning mathematics with digital technologies. TPACK is essential for Mathematics teachers as it enables them to effectively integrate technology into their teaching practices. This study investigated the correlation between Mathematics teachers' TPACK competencies and their teaching performance in selected higher education institutions (HEIs). This study utilized a descriptive-correlational design with 120 randomly selected participants. The data collected were analyzed using Linear Regression analysis to determine the relationship between TPACK competencies and teaching performance. The findings revealed that teachers' TPACK competencies are significantly related to their performance in teaching Mathematics. The study's findings have significant implications for Mathematics education and teacher training programs. Mathematics teachers must develop their TPACK competencies to effectively integrate technology into their teaching practices. Teacher training programs should focus on developing Mathematics teachers' TPACK competencies to improve Mathematics teaching. The study's methodology can be replicated in other contexts to investigate the relationship between TPACK competencies and teaching performance in Mathematics education. Keywords: TPACK, mathematics, instruction, teaching performance, PHEIs

Evaluating the Learning Management and Assessment Abilities of Preservice Teachers in Mathematics Education Program

The objective of this research was to evaluate the learning management and learning assessment abilities of preservice teachers in the Mathematics field. Additionally, it aimed to provide guidelines for the development of these abilities. The study group consisted of 34 practicum teacher students, 34 mentor teachers, and 14 experts. Data collection tools included evaluation forms and interviews. Descriptive statistics, such as means and standard deviations, were employed for quantitative data analysis, while content analysis was utilized for qualitative data analysis. The research findings indicated that the preservice teachers possessed a high level of learning management ability, with an average self-assessment score of 4.02 and an average mentor assessment score of 3.98. However, their learning assessment ability is relatively lower, with an average self-assessment score of 3.96 and an average mentor assessment score of 3.50. Guidelines for development include promoting inspiration and adjusting mindsets about mathematics learning management. The study also recommended intensive practical training in both simulated situations and intensely real situations. In terms of learning assessment development, diversifying assessment methods for improvement and providing creative constructive feedback is suggested.

Analysis of Environmental Literacy Profile Indonesian Students at STKIP Pesisir Selatan, West Sumatera

Environmental literacy is considered an achievement of environmental education. Preservice teachers with good environmental literacy knowledge are more likely to align their actions with their understanding. Preservice teachers have two roles: as behavioural models for their students and as members of society. This research is a descriptive study that utilizes the survey method. The subjects of this research are 50 students from the Mathematics Education, Geography Education, and Technology and Informatics Education programs at STKIP Pesisir Selatan, West Sumatera-Indonesia. The data collection instrument in this research is a questionnaire. The data analysis technique used to process knowledge data utilizes the NELA score. This research indicates that students from all three programs have moderate environmental knowledge. The environmental literacy of Geography Education students has a minor standard deviation, showing relatively low variation in the scores. On the other hand, students in the Mathematics Education and Technology and Informatics Education programs have a higher standard deviation, indicating a more significant variation in their science literacy scores. Geography Education students have higher knowledge of ecology and pollution than students from the other two programs. Meanwhile, mathematics education students have the highest scores in environmental problem-solving skills. Keywords: Analysis, Environmental Literacy, Preservice Teacher

Twenty years of law 10.639

This text presents an analysis of a collection of Mathematics textbooks, carried out for the discipline “Analysis of Mathematics Books and Teaching Materials”, taught in the Graduate Program in Mathematics Education at the Universidade Estadual Paulista “Júlio de Mesquita Filho”. Inspired by the methodology of vertical and horizontal analysis of textbooks, this work aims to understand in what ways the law 10.639/2003 is effective in textbooks that satisfy the demands of the New High School and the BNCC – Base Nacional Comum Curricular. Presenting the historical movements of black populations, mainly the Brazilian one, the text is inspired by the two decades of that law to conduct the analysis criteria and seek to understand in what ways the analyzed collection acts in the constitution of the mathematical identity of black students. At the end of the analysis, it is observed that the law is barely complied with, speaking through erasures and without delving into important points about racial discussions. It is concluded that changes are necessary for compliance with the law to produce positive effects on the constitution of mathematical identities of black subjects.

Embracing Multicultural Education: How Preservice Mathematics Teachers’ Attitudes Towards Multicultural Pedagogies Differ From Their Non-Mathematics Peers

<p style="text-align: justify;">Secondary subject subcultures, differing in status, perceived sequentiality, and scope, have been shown to form within departmental content areas. This study aimed to determine if preservice secondary teachers also exhibited attributes of secondary subcultures. Through the Teacher Multicultural Attitude Survey and the Culturally Responsive Teacher Self-Efficacy Scale, this study revealed that subcultures also occur within preservice teachers, specifically preservice mathematics teachers and preservice English teachers, with regards to multicultural awareness and attitudes. The results from this study support the need for purposeful and consistent focus on multicultural education and Ethnomathematics education in mathematics education programs. In doing so, secondary mathematics students can obtain a robust background in multicultural education before entering the PK-12 classroom. When they do enter the PK-12 classroom, they will be able to empower all students that they teach.</p>

Improving the Teaching of Geometric Construction Problems in the Process of Training Future Mathematics Teachers

The article examines the problem of improving the teaching of geometric construction problems using information and communication technology (ICT) tools in the process of training future mathematics teachers at pedagogical universities. During the clarifying experiment, methodological problems in teaching geometric construction problems were identified, and as one of the ways to solve them, the need for methodological training of future mathematics teachers to use applied information and computer resources in teaching geometric construction problems was based. Analysis of information and computer technologies and programs intended for use in teaching geometry courses was performed, and the effectiveness of using the “Live Geometry” program in creating geometric construction problems was shown. Learners are more interested in geometry and construction problems, and can save all work in electronic format for future use. While studying the topic, the tools in the program will help to draw figures and use these figures in solving problems, formulate the properties of geometric figures, and use them to model geometric bodies. In the given article, the authors analyzed the state programs and concepts, the works of domestic and foreign scientists, and the results of an online survey and interviews with students. 54 students of the mathematics education program were involved in a pedagogical experiment, and the results were shown in detail. As the results of the experiment show, after using the “Living Geometry” program in the lesson, students were recognized from a certain personal subjective point of view, which regulates their cognitive and practical activities, and an increase in theoretical knowledge and practical skills was determined. It has been proven by mathematical and statistical methods that the use of the “Living Geometry” program in the teaching of structural problems allows effective and efficient organization of education and increases the methodological training of future mathematics teachers.

The influence of ready-made tools on students’ learning by modelling with differential equations systems

This article discusses the role played by the tool when students learn about differential equations systems (DE) by modelling. The discussion was based on a three-case sub-study of an ongoing study of group-reports from experienced mathematics teachers participating in a masters’ program in mathematics education. In the teaching sequences, setting the scene for the students’ modelling of authentic problems by DE, it was indispensable to include a variety of digital resources such as databanks and software for numerical solutions, graphical representations, and some sorts of simulations. Apps with simulations of commonly used DE models are widespread on the internet, some of them are user-friendly and elaborated to a degree that justify use of the term ready-made tools. The issue addressed in this article is whether such ready-made tools constitute shortcuts to the students’ modelling process and thereby obstacles in their learning of mathematics. For the analysis, the term direction of modelling was used to make a distinction between expressive and explorative modelling, respectively. Direction of modelling proved useful for the analysis of students’ learning not only with relation to the ready-made tool but also more generally. In line with the author’s previous research, students’ learning of mathematics by modelling was conceptualised in terms of emergent models and modelling and detected by textual analysis of students’ written reports. The study gave new insight into the students’ learning processes in the form of a variety of patterns for interplay between the tool use and the learning of mathematics. This variety seems to be pivotal for the designs of modelling sequences in general and particularly in the case of DE due to their dependence on digital resources.

Popular conceptions of democracy in a mathematics teacher-education programme

While the meaning of democracy remains multi-faceted centuries after the concept was first conceived of and subsequently formulated, democratic principles have spread to the extent of bringing about democratisation in all fields of education. Thus, with this study we sought to examine the popular conception of democracy in mathematics-education programmes at South African universities. A qualitative research approach and a case study research design were used in this study. Six mathematics teacher educators and 75 second- to fourth-year mathematics education student teachers from 3 different universities constitute the sample for the study. The findings from the study revealed that participants had a contested notion of democracy, since the majority understood it as involving deliberative participation, a shared decision-making process, as well as freedom of expression. Based on the findings of the study, it was concluded that participants were aware of what democracy should look like and were willing to live according to democratic tenets. This understanding was, however, greatly influenced by their experiences and way of life in a democratic South Africa.

“Siapa Pappus of Alexandria?” Analisis Pengetahuan Mahasiswa Prodi Pendidikan Matematika Tentang Pappus of Alexandria

Mathematics is necessary because it has a vital role in civilization. Mathematicians from various nations carried out the development and renewal of mathematics. We must know the mathematicians who played a role in the development and regeneration of mathematics and the theorems they left behind. Pappus of Alexandria is one of the mathematicians who had an essential role in reforming mathematics. Therefore, this research is conducted with the aim that readers can recognize who Pappus of Alexandria is and his findings. The type of research conducted in this writing is qualitative with case study and literature review methods, while the instrument used in this research is an open interview. A literature review was conducted by reviewing articles to obtain Pappus's biography and findings. In contrast, the case study was conducted by selecting ten students as research subjects from the mathematics education program. The results of this study show that there are three categories of students' knowledge about Pappus of Alexandria and his theorems.

A Study on the Introduction, Status and Implications of The “Accreditation System for Mathematics, Data Science and AI Education Programs” in Japanese Higher Education

A Study on the Introduction, Status and Implications of The “Accreditation System for Mathematics, Data Science and AI Education Programs” in Japanese Higher Education

식 지도 관점에서 역량중심 초등수학 영재교육 프로그램 및 교과서 분석

In this study, ‘Mathematical expression connection’ and ‘Mathematical expression transformation’ patterns were analyzed to see if activities related to expressions appearing in competency-based mathematics education programs for gifted students and elementary mathematics textbooks were appropriately constructed from the standpoint of establishing internal connectivity between various mathematical objects. I got the same conclusion. First, it was found that there needed to be more opportunities to observe the presented equations in terms of the expression connection aspect, express them as phenomena, and interpret new expressions, mathematical relationships, and thought processes. Second, from the viewpoint of the expression transformation aspect, the purpose of transforming the expression was mostly the process of deriving the value of the expression. Therefore, it is necessary to supplement the activities of transforming expressions in various directions.

Student Attitudes towards Chat GPT: A Technology Acceptance Model Survey

This study aimed to develop and validate an instrument to explore university students' perception of Chat GPT, while also investigating potential variations across gender, grade level, major, and prior experience with using Chat GPT. Employing a quantitative research approach, the study involved 239 students enrolled in the Science and Mathematics Education Program at a private university in Almaty, Kazakhstan. The results indicated an overall positive perception of Chat GPT among the participants. Notably, the only significant disparity in perception between male and female students was observed in the dimension of "Perceived ease of use." Moreover, no significant differences were found across any survey dimensions when comparing students from different grade levels (first to fourth grade). However, statistically significant differences emerged in the dimension of "Perceived social influence" between Mathematics majors and Chemistry-Biology majors, as well as between Chemistry-Biology majors and Physics-Informatics majors. Additionally, except for the dimension of "Perceived social influence," statistically significant differences were observed among groups based on their prior experience using artificial intelligence (AI) or chatbots. These findings provide valuable insights into university students' perceptions of Chat GPT and highlight the influence of factors such as gender, major, and prior experience on their perceptions. The implications of these findings can inform the design and implementation of educational technologies involving AI-based chat systems in higher education settings.

Students' Spatial Ability During Geometry Learning through a Realistic Approach In Terms of Their Genetic Decomposition

Geometry is a part of mathematics that students must learn. Spatial ability as a basic ability that students must have to learn more geometry. The realistic mathematical approach provides horizontal processing towards formal understanding. The purpose of this study is to interpret the characteristics of students' spatial abilities during learninggeometry through a realistic mathematical approach in terms of APOS Theory. This research uses quantitative qualitative and descriptive methods. The focus of this research is to explore students' spatial abilities after learning geometry through a realistic approach in understanding geometry concepts reviewed from APOS (Action-Process-Object-Schema) Theory. To comply with the COVID-19 health protocol, the implementation of learning was carried out online with as many as 30 students in the Mathematics Education Program in Rejang Lebong Regency, Bengkulu Province, Indonesia. This study also has exploratory characteristics. The researcher acts as a teacher as well as the main instrument in this study. Researchers use spatial ability test instruments to explore qualitative data. The test result data is used as the basis for determining the research subjects to be interviewed in depth to explore students' spatial abilities during geometry learning through a realistic mathematical approach. The subjects of this study were three students selected from three categories of test results, namely the high, medium and low groups of one person each. Interviews of subjects were conducted using whatsapp media via video call. These interviews are recorded to obtain complete and accurate data. Research data are analyzed through genetic decomposition analysis (description of their actions, objects, processes, schemes, and relationships that individuals have for concepts and principles in spatial geometry). The result of this study was that it was found that students had a mature scheme about the properties of building space. He was able to perform the tematization of objects about the diagonal of the plane and the diagonal of space can be represented in good mental activity, he was a student of the trance level. Inter students are able to carry out action-process-object-and schematic activities, but the embedding is incomplete. Intra students are able to do perceptions of space, but are unable to do interiorization and encapsulation so they fail to solve the given problem. The conclusion of this study is that there is an increase in the spatial understanding of students who are taught through a realistic mathematical approach. There are three levels of students' spatial ability after learning geometry through a realistic mathematical approach. Those are the trance level, the inter level and the lowest intra level.

Sternberg의 성공지능 이론과 연계한 유아수학교육 프로그램 효과 검증

Objectives The purpose of this study is to verify the effect of early childhood mathematics education program in connection with Sternberg's theory of successful intelligence on the mathematical ability, creativity, and creative problem-solving ability of young children. Methods Seventy six 5-year-old children were selected as research subjects at two kindergartens located in Seoul. Differences between the groups were investigated by dividing them into experimental and control groups. The difference between the groups was verified after applying the program of early childhood mathematics education linked to the Sternberg successful intelligence theory to the experimental group over 10 weeks. Results To verify the effectiveness of the program, t-verification and multivariate analysis (MANOVA) were performed using the SPSS 24.0 program. There were differences in the mathematical ability, creativity, and creative problem-solving ability of young children between the experimental and control groups. Conclusions The early childhood math education program based on the theory of successful intelligence is suitable for 5-year-old children and has a positive effect on mathematical ability, creativity, and creative problem-solving ability. The experimental group young children. who participated in the program improved their mathematical ability and their sub-areas, algebra, number and computation, geometry, and measurement compared to the control group young children. In addition, creativity was significantly improved, and sub-areas of fluency, originality, abstraction of titles, and resistance to early closure were improved. Creative problem-solving skills and plans for understanding problems, generating ideas, and acting, which are sub-factors have all improved.

Exploring problem-solving through the intervention of technology and Realistic Mathematics Education in the Calculus content course

In Thai mathematics classrooms, there is a lack of attention to support students’ mathematical problem-solving skills by working from real-world contexts that make sense to students. This study aimed to investigate how pre-service mathematics teachers’ problem solving can be explored in their content course, intervening with technology and Realistic Mathematics Education (RME) through the Mean Value Theorem (MVT) lesson. The study included nine pre-service mathematics teachers purposively selected from a public university in Thailand who attended a Calculus course. Data was collected from classroom artifacts, observation notes, and interviews. It was found in this study that the intervention of technology and RME in pre-service mathematics teachers’ content courses has the potential to build pre-service mathematics teachers’ problem-solving abilities. It was also discussed that the intervention could use RME to conceptualize mathematics theorem and cultivate Polya’s problem-solving steps. The findings provide light on the efficacy of using technology and RME in enhancing problem-solving skills among other content courses and could be used to inform the creation of mathematics curricula and instructional strategies in undergraduate content courses for mathematics education programs.

Student Representation of Mathematical Thinking In Mathematical Problem Solving

The way students who want to become teachers represent their mathematical reasoning when they solve mathematical problems—using case studies and qualitative techniques. Data were gathered from the vignette results of student work. They are using snowball sampling for subject selection. Three third-semester mathematics education program participants served as the study's research subjects—ways for gathering data, such as interviewing and recording. Three steps of the analysis were completed: presentation of data, elaboration of conclusions and verification. As a consequence of meeting all markers of mathematical thinking representation, the S1 and S2 subjects with high and moderate academic talents had good mathematical thinking representation abilities. Because S3 students with limited intellectual skills cannot still represent mathematical ideas.