Field Of Mathematics Education Research Articles

Evaluating problem-solving and procedural skills of first-year students in a Peruvian higher education institution

In this study, we aim to compare the procedural and problem-solving skills of university students during their transition to higher education. A diagnostic test was administered to 374 first-year students at a Peruvian university in March 2023, assessing both their mathematical knowledge and the aforementioned skills. The results reveal that university entrants exhibit a deficient level of mathematical proficiency, with significantly lower scores in problem-solving skills compared to procedural skills. It is noted that while procedural skills are part of problem-solving skills, the discrepancy in scores suggests challenges in the practical application of mathematical knowledge by students. The study sheds light on the situation faced by university entrants in Peru and provides recommendations for improving mathematical skills in higher education. However, it emphasizes the limitation of generalizing the results to all universities due to the limited sample size and the scarcity of research in the field of higher mathematics education in Peru. Disparities based on gender and type of school are observed, indicating that males slightly outperform females in both skills, and students from private schools outperform those from national schools. These differences are analyzed in the article, offering a more comprehensive understanding.

Development and Cultivation of Mathematical Literacy: A Pedagogical Perspective

This study is dedicated to the formation and enhancement of mathematical literacy with a focus on pedagogical approaches. Mathematical literacy, a crucial skill in today's world, involves the ability to apply mathematical knowledge and skills in various contexts. The research aims to explore effective strategies for developing mathematical literacy among students, recognizing its importance in fostering critical thinking, problem-solving, and analytical skills. The pedagogical approach highlighted in this study centers on interactive teaching methods, incorporating real-life scenarios, and utilizing technology in mathematics education. By examining educational practices from various international contexts, the study identifies key factors that contribute to successful mathematical literacy development. These include a curriculum that integrates practical applications of mathematics, teacher training programs that emphasize innovative teaching methods, and the creation of a supportive learning environment that encourages exploration and inquiry. The findings indicate that enhancing mathematical literacy requires a comprehensive approach, combining effective teaching strategies, curriculum design, and continuous assessment to meet the diverse needs of learners. This research contributes to the field of mathematics education by providing insights into methods and practices that effectively nurture mathematical literacy in students, preparing them for the challenges of the 21st century.

Race/ethnicity in mathematics education: what topics appear and how do they change over time?

Research on equity has received a great amount of attention in the field of mathematics education. Although various review studies have focused on race/ethnicity issues in mathematics education, they rarely examined how the studies on race/ethnicity issues in mathematics education have evolved over time. This study examined research topics and trends of race/ethnicity studies in mathematics education while drawing on a social-ecological model. We collected 920 articles in the field of mathematics education that are relevant to the issue of race/ethnicity during the last 2 decades and implemented a topic modelling method. Findings include 11 latent topics, which were classified into 4 levels of the social-ecological model: individual (Growth, Identity), interpersonal (Immigrants, English language learners), community (Kindergarten, Course taking and college, Culturally responsive teaching, Intervention, School programme and instructional practices), and societal (Stereotype threat, Segregation). Among the topics, Identity and Stereotype threat were getting more attention as hot topics, while Course taking and college and School programme and instructional practices are becoming gradually less popular. The implications were discussed related to equity issues in the field of mathematics education.

Philosophy-Infused Culture-Based Learning Models In Mathematics Education

The aim of this research is to explore and leverage the synergistic relationship between the philosophy of mathematics education and culture-based learning models. It seeks to investigate how philosophical perspectives can inform and enrich the development and implementation of culture-based learning models in mathematics education. Additionally, it aims to examine how integrating philosophical underpinnings can deepen students' comprehension of mathematical concepts within diverse cultural frameworks. Reading the entire paper is essential for anyone interested in advancing the field of mathematics education with a focus on cultural integration. This research explores the intricate relationship between the philosophy of mathematics education and culture-based learning models, offering valuable insights into how philosophical perspectives can enrich teaching practices within diverse cultural contexts. Moreover, it outlines crucial future research agendas, emphasizing the need for cross-cultural studies to identify universal and context-specific approaches, as well as the importance of equipping mathematics educators with the necessary skills through professional development programs. Overall, the paper provides a comprehensive roadmap for educators, researchers, and policymakers to promote inclusive and culturally relevant mathematics education, making it a must-read for those dedicated to enhancing educational practices in a diverse world. In conclusion, the integration of cultural elements in mathematics education is a dynamic field with promising future agendas. Cross-cultural research and teacher professional development programs are essential components for advancing the inclusivity and effectiveness of mathematics education in diverse contexts. By addressing these agendas, we can foster a more equitable and culturally responsive approach to teaching and learning mathematics.

Deep Learning in Math Education

This scientific paper aims to present information about the use of Deep Learning in the field of mathematical education. In the review of the literature, a series of studies and applications of advanced technologies in the teaching of mathematics were identified. Several studies have shown that the use of deep models can identify specific difficulties of students and provide personalized feedback to improve learning outcomes. In addition, the use of innovative applications has shown the potential to make mathematics learning more engaging and interesting for students. In conclusion, the literature review has identified an increasing trend in the use of deep learning in the field of mathematics education. However, continuing research in this direction and expanding practical applications will contribute to our knowledge and improve teaching practices in this area.

Academic Resilience in Mathematics Among Senior High School Students in Mindanao State University-Sulu

This study investigated the extent of academic resilience in mathematics among senior high school students at Mindanao State University-Sulu (MSU-Sulu). Descriptive-correlational research design was used to gather data from 120 respondents. The findings revealed the student-respondents are mostly females aged between 17-18 years old. There is an equal representation of grade levels, and most students' parents have a monthly income between P20,001.00 and P30,000.00. Additionally, the majority of parents are college graduates; 2) The student-respondents displayed a high positive attitude towards mathematics in most categories. However, they showed some ambiguity in the category of 'Struggle;' 3) The study revealed no significant differences based on gender, age, parents' monthly income, or educational attainment. However, grade level was found to be a notable factor, with grade 11 and grade 12 students exhibiting varying degrees of resilience. This suggests that students' perceptions of academic resilience in mathematics may develop as they progress through senior high school; 4) The findings also revealed that only the correlation between 'Value' and 'Growth' is statistically significant, although it is weak. The correlations between 'Value' and 'Struggle', and 'Struggle' and 'Growth' are not statistically significant. Consequently, the hypothesis stating that there is no significant correlation among the subcategories of academic resilience in mathematics is largely supported, except for the weak but significant correlation between 'Value' and 'Growth'. Based on these findings, the study recommends the following: 1) The University administrator should incorporate goals and strategies related to promoting academic resilience in mathematics into MSU's strategic planning initiatives and policies; 2) Faculty members of MSU-Sulu should adopt flexible instructional approaches that accommodate diverse learning styles and levels of mathematical proficiency among students; 3) They may also consider adopting student-centered pedagogical approaches that prioritize active learning, problem-solving, and collaboration in the classroom; and 4) Furthermore, future researchers in the field of mathematics education are encouraged to conduct similar studies to contribute to ongoing research on improving mathematical skills and academic resilience among the students. This will provide a foundation for continued advancements in the field.

Proposição de Problemas: entendimentos

Abstract The problem posing has gained prominence in curriculum documents and current research, in which many questions are still open, and are not manifested clearly and coherently in school practices. This article aims to identify and establish understandings for the terms formulation, elaboration, creation, and problem posing to support the context of Brazilian research and practice in the field of Mathematics Education. To this end, a literature review is presented, resuming historical aspects and constituting a theoretical reference about the implications on the context of mathematics learning and students' comprehensive education. Then, based on the results obtained from a systematic study review and moving forward in the constitution of a theoretical body knowledge, we present the meanings attributed to these expressions in several Brazilian and international studies and then present the definitions we assume: we understand that problem creation involves the processes of problem formulation and elaboration and it is inserted in the problem posing which advances to present the created problem to a potential solver. The relevance of these definitions covers both contexts of educational practices that contemplate the association with problem solving and research in Mathematics Education, with conditions and reflections on the collection and analysis of data, in order to deepen the understanding of specific aspects related to problem posing to be considered in future studies.

Formation and development of mathematical concepts: Elements for research and teaching

This article presents a theoretical-didactic perspective on the formation and development of concepts concerning mathematical objects as a result of research on didactic difficulties in dealing with concepts in school. The theoretical foundation that supports the research is based on the contributions of the materialist approach to the theory of knowledge. Specifically, an interpretation of its application in the teaching of mathematics is under investigation, specifically in the process of formation and development of concepts in the field of Euclidean geometry. However, the elements that are derived are essential for the treatment of concepts in any sub-branch of mathematics. The analysis of this process and the factors that influence the development show some fundamental elements to consider in the research activity in the field of mathematics education.

Design and Implementation of a Mobile Experimental Application for Networked Control Systems

With the development of mobile technologies, mobile applications are increasingly designed and developed. In the field of science, technology, engineering, and mathematics (STEM) education, the idea of using mobile devices for teaching and learning has gradually gained popularity and gained in-depth research. Owing to the advantages of convenience, portability and excellent interactive abilities, mobile devices are a good choice for accessing remote laboratories. In propose of promoting the massive online experimentation of control education, a mobile application with framework based on React-Native is implemented in this paper. The overall remote laboratory architecture adopts front-end and back-end separation scheme, which benefits the mobile application focusing on the construction of front-end interface and user experience. Various functional modules and technologies are applied in the mobile application, allowing users to access various experiment test rigs in the remote laboratory with intuitive experimental immersion. Moreover, a complete laboratory management system to manage the massive users from different universities has also been integrated into the mobile application. At the end, a remote networked control experiment has been conducted to prove the practicability of the mobile application.

Technology Acceptance of Wearable Collaborative Augmented Reality for Mathematics Education in A Junior High School

The Wearable Collaborative Augmented Reality (WcAR) represents a state-of-the-art advancement in computer technology, exhibiting diverse applications across various domains. Despite the increasing recognition of WcAR as an emerging educational technology, there exists a compelling need for further research, particularly in the context of mathematics education at the junior high school level. This research focuses on examining learners' acceptance of technology concerning Wearable Collaborative Augmented Reality (WcAR). The study utilizes data collected through questionnaires distributed after learners have interacted with the Hololens 2 device. To rigorously evaluate the proposed relationships, this investigation employs the methodology of Partial Least Squares Structural Equation Modeling (PLS-SEM). The findings of the study reveal a statistically significant positive correlation between three extension structures—Interaction, Imagination, and Innovation—and the constructs of the Technology Acceptance Model (TAM), namely Perceived Usefulness and Perceived Ease of Use. Consequently, these results offer empirical support for the assertion that Wearable Collaborative Augmented Reality (WcAR) technology has the potential to be an effective tool for enhancing junior high school mathematics instruction. This empirical validation establishes a crucial theoretical foundation for subsequent empirical research endeavors in this domain. Furthermore, the study also discovers that WcAR technology can cultivate students' spatial understanding, providing valuable practical insights for the field of mathematics education.

Transformative approaches and challenges in 21st century mathematics education: A comprehensive review

This article examines the challenges and transformative approaches in 21st century mathematics education. The article examines the transition from conventional lecture-based teaching methods to more interactive, learner-focused strategies, with an emphasis on technology integration, mathematical literacy development, critical thinking, and tackling obstacles including math anxiety and gender inequalities. The article delves into innovative pedagogical strategies like flipped classrooms, gamification, and blended learning, highlighting their effectiveness in enhancing student engagement and understanding. It also underscores the importance of teacher training, parental involvement, and targeted interventions in creating an inclusive and empowering the mathematics classroom. The article concludes by emphasizing the need for educators to stay abreast of these promising and effective teaching strategies as education continues to evolve with technological advancements. The arguments put forth in this article are substantiated by recent research and advancements in the field of mathematics education.

Analysis of Researches in the Field of Mathematics Education in the Context of SOLO Taxonomy: A Meta-Synthesis Study

Bu çalışmanın amacı, Türkiye’de 2012-2022 yılları arasında matematik eğitimi alanında yapılan SOLO Taksonomisi çalışmalarının meta-sentez yöntemi ile incelenmesidir. Araştırma amacı doğrultusunda Ulusal Akademik Ağ ve Bilgi Merkezi, YÖK Tez Merkezi, TR Dizin ve DergiPark 
 veri tabanlarında ve arama motorlarında yapılan taramalar sonucunda 6 makale, 16 yüksek lisans tezi, 3 doktora tezi olmak üzere toplamda 25 çalışmadan araştırma verileri elde edilmiştir. Alanyazın incelemesi ve uzman görüşü alınarak araştırmacılar tarafından geliştirilen Değerlendirme Formu yardımıyla çalışmalar analiz edilmiştir. Değerlendirme Formunda çalışmanın türü, künyesi, araştırma yöntemleri, örneklem türleri ve büyüklüğü, veri toplama araçları, konu ve öğrenme alanları, SOLO taksonomi düzeyleri başlıklarına yer verilmiştir. Araştırmadan elde edilen verilerin analizi sonucunda; SOLO taksonomisi bağlamında yapılan çalışma sayılarında son yıllarda artış meydana geldiği tespit edilmiştir. Örneklem türlerinin büyük çoğunluğunu öğrenciler oluştururken, en fazla ortaokul (5-8. Sınıf) öğrencilerinin katılımıyla ve nitel yöntemli çalışmalar yürütülmüştür. Çalışmaların büyük bir kısmında veri toplama aracı olarak başarı testleri kullanılmıştır. Bununla birlikte, tek oturum uygulamalı, öğrenci/öğretmen adayı beceri düzeylerinin ölçüldüğü çalışmaların çoğunluğu oluşturduğu bulgusuna ulaşılmıştır. Çalışmaların büyük çoğunluğunda çok yönlü yapı düzeyinin diğer SOLO taksonomi düzeylerine göre daha baskın olduğu tespit edilmiştir. Çalışmadan elde edilen sonuçların, SOLO taksonomisini kullanacak araştırmacılar için yol gösterici bir bilgi kaynağı olacağı düşünülmektedir.

THE INFLUENCE OF INDONESIA'S REALISTIC MATHEMATICS EDUCATION APPROACH ON STUDENTS' CREATIVE THINKING ABILITY

This research aims to explore how PMRI, a student-centered and contextualized mathematics learning approach, can foster students' creative thinking abilities in the morning, when students may have different levels of alertness, motivation, and mood, which are the result of applied science, in the field of mathematics education. The research method used is a quantitative method with Posttest-Only Control Design. The population of this study was class VIII students. The sample used was 2 classes with a quota sampling technique where classes determined from the school were used as samples. The data collection techniques used are tests and observations. Based on the student test results, a significance value of 0.00 was obtained, which means a value of 0.00 < 0.05. Observations are carried out to see the implementation of learning. Based on the results of observations, the learning carried out was following PMRI characteristics, which means the learning was carried out well. From the research results, it was concluded that using the Indonesian realistic mathematics education approach in the morning influenced the creative thinking abilities of class VIII students at Lais State Middle School. The novelty of this research is that it introduces a new experiment of PMRI learning in the morning on students' creative thinking abilities. The research contributes to the literature on mathematics education and creative thinking by highlighting the role of PMRI in improving students' creative thinking abilities in the morning.

Discussion on Microteaching in Korean Mathematics Education

This study conducted a literature review to scrutinize the landscape of microteaching-related research within the field of mathematics education in South Korea. The research data were collected by searching for keywords such as microteaching, teaching demonstrations, and simulated rehearsal on RISS until July 2023. The final research data consisted of 28 empirical studies, including only those published in academic journals. For data analysis, the study delved into the purposes of microteaching, the specific grade levels being targeted, and the diverse methodologies employed in microteaching. The findings illuminated that a predominant focus of the studies was on secondary preservice teachers, with microteaching being implemented primarily for the purpose of observing teaching behaviors. Qualitative research methodologies prevailed, with a notable prevalence of studies utilizing video recordings to encapsulate the intricacies of the teaching process. Furthermore, it was a customary practice to facilitate peer feedback sessions following the teaching sessions. Finally, a comprehensive discourse was engaged to elucidate the underlying rationales driving the observed trends in these findings.

A scoping review of mathematics teachers’ learning and professional growth through lesson studies

Lesson study (LS), a teacher-oriented, student-focused professional development approach that originated in Asia, has spread globally. However, findings related to the effect of LS on teacher learning and growth have varied widely. This suggests a need to review current research on LS in the field of mathematics education. This paper focuses on mathematics teachers’ learning and professional growth through LS using Clarke and Hollingworth’s interconnected model of professional growth (IMPG) that contains three components: domains of change, mediating mechanisms, and change environment. With regard to domains of change, we found that although previous LS studies—often small scaled, qualitative studies—attended to all domains of change, they have more frequently reported changes in the personal (or collective) domain (e.g., teacher knowledge) but have relatively less frequently reported changes in other domains. In fact, there is a lack of research on systematic changes across domains in the IMPG. Regarding the mediating mechanisms, research has well explored both enactment (planning and teaching) and reflection (debriefing). For enactment, the planning process is less appreciated, and there is an inconsistent understanding of the role of the knowledgeable others. For reflection, there is a lack of focus on student thinking and constructive feedback during this process. Finally, research has suggested that LS has received support from the change environment but that tensions (e.g., time limits) have remained. These challenges call for systemic support and cross-cultural collaborations to develop sustainable and large-scale LS. We suggest future directions for continued research and practice.

Addressing the Challenge of Mathematical Misconceptions: Development of Interactive Multimedia Based on Cognitive Conflict Strategy

Mathematical misconceptions hinder students' learning and understanding of mathematical concepts. This study aims to analyze the issue of mathematical misconceptions by developing interactive multimedia based on the cognitive conflict strategy. The research design used was research and development with Design-Based Research (DBR), combining qualitative and quantitative data collection techniques. There were fourteen participants in this study including students, teachers, and expert validators, and the research procedure involved the implementation of interactive multimedia interventions. Data collection techniques had pretest and posttest assessments after the intervention, observations, and interviews. The research data were analyzed using the Paired Sample t-Test. The study's findings indicated that the interactive multimedia intervention based on the cognitive conflict strategy effectively reduced students' mathematical misconceptions. The results also demonstrated improved conceptual understanding and increased engagement in the learning process. This research contributes to the field of mathematics education by presenting innovative and practical solutions to address students' misconceptions. The research implications suggest that interactive multimedia based on the cognitive conflict strategy can be used as a pedagogical approach to promote conceptual understanding and reduce mathematical misconceptions.

Development Of Self-Use Module For The Problem-Solving Framework Of The Number And Mathematical Operations In The Form Of Higher Order Thinking Skill (HOTS) Using The Bar Model

The curriculum transformation implemented in the Malaysian Education Development Plan (PPPM) 2013-2025 PPPM emphasizes the concept of high-order thinking skills (HOTS) applied in Mathematical problem-solving skills. However, it is seen to surprise the pupils and was not handled well. The level of achievement of the majority of the pupils in this country in Mathematics is still unsatisfactory. Pupils have difficulty getting good performance in Mathematics especially in public examinations in Malaysia. The mathematical problem-solving framework in the form of HOTS (KP2MK) using the Bar Model strategy that has been developed is seen to help overcome this problem. Therefore, this self-use module developed to ensure that KP2MK using the Bar Model strategy can be used optimally. It can be used as a guide for teachers and pupils in applying KP2MK using the Bar Model strategy in the teaching and learning (TnL) process in the classroom. The self-use module of KP2MK using the Bar Model strategy has been developed based on the Sidek and Jamaludin Module Development Model (2005). This self-use module has obtained validation from 5 experts in the field of Mathematics education. To ensure it has high reliability, a pilot study was conducted involving 35 pupils. The findings indicated that this self-use module has good content validity of 93% (content validity coefficient > 0.70) and good reliability (Cronbach's Alpha coefficient value = 0.96). The implications of the study show that this self-use module definitely can be used as a guide for teachers and students in applying KP2MK using the Bar Model strategy optimally in the TnL process in the classroom.

Maintaining Tensions: Braiding as an Analogy for Mathematics Teacher Educators’ Political Work

Although the field of mathematics education has made gains in centering the need for justice-oriented approaches and antiracist teaching practices in teacher education, much of this work remains in its infancy. Moreover, research focused on this area highlights teacher candidates’ knowledge and dispositions and often ignores the role of the mathematics teacher educators facilitating the process. We contend that mathematics teacher educators must pay more attention to how intersectional identities, contexts, Mirror Tests, and principles of Rehumanizing Mathematics manifest in teacher education to better understand how teacher candidates develop political knowledge in teaching mathematics. To this end, we introduce a framework of considerations, which we call a compass, that identifies four dimensions (or strands) and offers guiding questions for mathematics teacher educators to consider. We offer examples from a multi-site research study to illuminate each dimension and build the case for the necessity of braiding the four strands together as we engage in this line of work. Implications for practice and future research are discussed.

Teacher noticing in mathematics education: a review of recent developments

The teacher noticing construct is widely recognized in teacher competence and education research, particularly in the field of mathematics education. This paper surveys recent research on mathematics teacher noticing published between July 2019 and 2022, following an earlier literature review on teacher noticing across different disciplines. The study presented here analyzed 118 English-language articles published in peer-reviewed journals, focusing on conceptualizations, research methods, and relationships with other constructs, including teacher knowledge and beliefs. The findings suggest that the cognitive-psychological perspective on noticing, which emphasizes a set of cognitive processes, remains the predominant conceptualization. Recent research on noticing is characterized by a high proportion of studies based on small samples and qualitative research methods. While several studies have demonstrated the interrelatedness of noticing and professional knowledge, the relationship between noticing and beliefs and between noticing and instructional quality has rarely been addressed. Based on these findings, we highlight noteworthy contributions and critical shortcomings, and suggest directions for future research.

Mathematical Abilities of Elementary School Students: a Bibliometric Analysis

This study aims to investigate the research trends on the mathematical abilities of elementary school students. The analysis focuses on research articles in the field of mathematics education in elementary schools based on the Scopus database from 2003 to 2022. The obtained data is then inputted into the VOSviewer application to obtain a data distribution based on a co-occurrence map. The co-occurrence map is created based on the text data of the mathematics education articles in elementary schools obtained from the Scopus database and analyzed using bibliometric criteria that reveal the structure and characteristics of elementary school students. This study provides evidence of the research trends on the mathematical education of elementary school students based on the mapping of data that emerges in the Scopus database. These research trends are expected to assist researchers in obtaining information on which areas are more needed to plan their future research related to the mathematical abilities of elementary school students.