Mathematical Culture Research Articles

Research on Teaching Strategies for Project-Based Learning in Upper Elementary School Mathematics Culture

This study focuses on teaching strategies for project-based learning (PBL) in upper elementary school mathematics culture, aiming to explore how mathematics culture can be better integrated into upper elementary mathematics teaching through PBL. The research first analyzes the basic concepts of mathematical culture and its current status in elementary education, combining it with the theoretical foundations of PBL to propose effective teaching strategies. These include the design and implementation of projects based on mathematical cultural themes, and promoting students' autonomous exploration and collaborative learning. By designing and implementing culturally relevant mathematical projects, the study observes and analyzes students' learning performance and cultural literacy enhancement. The findings reveal that PBL improves students' understanding and interest in mathematical culture while fostering their independent learning and teamwork skills. This research offers targeted strategies and practical paths, providing valuable references for educators.

Research on the current situation of diversified development in education

As a multicultural country, China's education industry is at a critical stage of development. It not only contributes to the diversity of society, but also improves the overall quality of the entire population, thereby improving the basic scientific literacy of all people and improving their physical and mental health. However, due to various reasons, especially history, social environment and current economic conditions, there are still many challenges in the current education, especially the lack of resources related to mathematics education. With the change of times, improve the quality of students; Learning interest and skills in mathematics, as well as strengthening their understanding of mathematical culture and theory, are important issues today; Therefore, integrating these factors into the classroom not only helps to improve their comprehensive quality, but also helps to better realize their dreams. This paper aims to explore the sustainable development of minority mathematics education through practical activities, classroom discussions, examination guidance, social practice activities and other forms, so as to improve students' comprehensive quality and mathematical ability.

Factors affecting teachers’ use of digital resources for teaching mathematical cultures: An extended UTAUT-2 model

Factors affecting teachers’ use of digital resources for teaching mathematical cultures: An extended UTAUT-2 model

Historical insights at scale: A corpus-wide machine learning analysis of early modern astronomic tables.

Understanding the evolution and dissemination of human knowledge over time faces challenges due to the abundance of historical materials and limited specialist resources. However, the digitization of historical archives presents an opportunity for AI-supported analysis. This study advances historical analysis by using an atomization-recomposition method that relies on unsupervised machine learning and explainable AI techniques. Focusing on the "Sacrobosco Collection," consisting of 359 early modern printed editions of astronomy textbooks from European universities (1472-1650), totaling 76,000 pages, our analysis uncovers temporal and geographic patterns in knowledge transformation. We highlight the relevant role of astronomy textbooks in shaping a unified mathematical culture, driven by competition among educational institutions and market dynamics. This approach deepens our understanding by grounding insights in historical context, integrating with traditional methodologies. Case studies illustrate how communities embraced scientific advancements, reshaping astronomic and geographical views and exploring scientific roots amidst a changing world.

Simbolik Geometri Dalam Catan Sulaiman Esa Melalui Prinsip Seni Islam

This paper explains geometric motifs through Islamic aesthetic point of view in the painting Garden of Mystery VI (1992) by Sulaiman Esa. Islamic art prescribes the whole way of life and all the activities that humans carry out in syumul (complete togetherness), including in the study of art. Islamic art is one of the advances in the civilization of the Islamic world and geometry is among the three motifs of Islamic art that are highly praised by the world community apart from calligraphy and Arabes. Islam has established those religious aspects play an important role in determining the basis and foundation to produce an element in the arts. It can be identified in geometric motifs through shape, meaning and symbolism that tend to have the concept of ‘Shari'a’. The main purpose of the study was to identify the types of geometric motifs and patterns in the painting artwork Garden of Mystery VI (1992). Explore the relationship between formalistic aspects of Islamic art and aesthetics through the production of Sulaiman Esa's paintings. This study also aims to see the aesthetic value of Islam which involves the pronunciation of symmetry in the context of mathematical culture. The written and visual data collection methodology in this study uses a qualitative approach that involves the design of case studies based on fieldwork empirical data obtained. Methods of observation, documentation and visual recording were used for the collection of research information. The findings of the study show that geometric motifs are decorations in Islamic art that comply with Islamic law and have their own privileges. An understanding of the form, purpose, philosophy, concept and purpose of geometric design application should be applied in Islamic painting artwork to form Islamic images and identities. Once again guide Islamic painters to internalise, understand and try to stimulate painters to dignify the true motives of Islam.

Determination of hydrostatic pressure on the plane surface of an arbitrary non-simmetrical form by the three-command method K123

Competitive struggle in the conditions of wide access to unlimited amounts of information and computerization of all branches of production and services imposes strict requirements on specialized knowledge, practical skills and general mathematical culture of future engineers. The online program of modern multivariate engineering calculation of the problem of determining the force of hydrostatic pressure on an element of a flat asymmetric surface with a curvilinear face is presented - https://www.k123.org.ua/jeh5.html. Algorithms are implemented according to the author's method of three commands K123 (c) Yu.D. Kopanytsia (hereinafter the K123 method). A client-server solution based on CGI technology with a web form for inputting source data has been implemented. The results of the online calculation were performed according to the new analytical dependencies obtained on the basis of the author's method K123. In parallel, the numerical algorithms of the author's method of three K123 commands and the conclusions of the corresponding calculations in tabular form were implemented. Realized generation of graphics by the server program based on the coordinates of the points obtained by iterative calculations according to the algorithms of the numerical implementation of the K123 method. The relative error of iterative calculations and the estimation of the accuracy of the result are automatically determined based on the proposed exact analytical dependencies.

Цифровизация как инструмент совершенствования модели математической культуры

The article examines the role of digital technologies as a means of developing mathematical culture among students within the framework of modern education, analyzed through the epistemological ideas of the philo-sophical concept of cognitive culture. The author focuses on the phenomenon of digitalization in education, viewing it as a tool demanded by the era of the information society and the technological revolution for the im-provement of the educational system. The article explores current trends in the digitalization of education, rele-vant educational platforms, and instructional-methodological complexes, while also describing the advantages and disadvantages of blended learning that incorporates online formats. It is emphasized that digitalization can lead to a decline in students’ creative and cognitive abilities. However, the proper use of digitalization in educa-tion has the potential to mitigate the negative aspects of this process and modernize the entire domestic educa-tional system in a constructive way, positively impacting students’ mathematical culture. According to the au-thor, digitalization represents a powerful tool for enhancing the model of mathematical culture, enriching the educational process, and increasing students’ interest in studying mathematics.

The effectiveness of a proposed strategy in light of anchored instruetion learning on achievement among middle school students

The research aims to identify the effectiveness of a proposed strategy in light of Anchored instruetion Learning in achieving achievement among middle school students. To achieve the aim of the research, the two researchers adopted an experimental research approach with two groups (experimental and control) with a post-test, and the null hypothesis was developed: There is no statistically significant difference at the level of significance (0.05) between the average scores of the experimental group students who studied according to the proposed strategy and the scores of the control group students who studied according to the normal method in the achievement test. The research sample consisted of (60) fifth-grade science students at Al-Suyuti Preparatory School affiliated with the General Directorate of Education of Baghdad Al-Karkh II. The sample was distributed into two groups: The experimental group consisted of (30) students who studied according to the proposed strategy. 2. The control group consisted of (30) students who studied in the usual way. The two research groups were rewarded on the variables (previous achievement, chronological age, previous knowledge, intelligence, and mathematical culture). After that, an achievement test was constructed, consisting of (30) objective, multiple-choice items. Appropriate statistical analyzes were conducted, and the psychometric properties of the test were verified. The results resulted The students in the experimental group who studied with the proposed strategy outperformed the students in the control group who studied in the usual way. In light of the results, a set of conclusions, recommendations and proposals were reached.

Integration of Mathematics Culture and Mathematics Teaching in High School under the View of Flipped Classroom

The new curriculum standard suggests that mathematics culture should be integrated into mathematics teaching activities. With the support of information technology, how to better integrate mathematics culture and cultivate students' mathematics cultural literacy has attracted much attention. This paper applies theoretical research methods to explore the combination of mathematical culture with the flipped classroom for teaching mathematical culture. On the basis of clarifying the connotation and characteristics of both mathematics culture and the flipped classroom, and analyzing the current situation of mathematics culture teaching and flipped classroom teaching in high schools, this paper proposes strategies for integrating mathematics culture into high school mathematics teaching within the flipped classroom framework: 1. Creating high-quality microvideos for mathematics culture teaching; 2. Clearly defining students' objectives and tasks for independent pre-class learning; 3. Selecting teaching methods judiciously for effective in-class instruction; 4. Enhancing teachers' own mathematics cultural literacy through reflective evaluation. Through the above strategies, high-quality teaching micro-videos enhance students' interest in learning and their independent learning abilities. Clear independent learning objectives and tasks can effectively improve students' learning efficiency and help them construct their own knowledge. Appropriate teaching methods can stimulate students' interest in learning and improve the effectiveness of classroom assessments. With the help of the flipped classroom as a teaching mode, it can assist teachers and students in adjusting and improving their teaching and learning processes, and create a more interesting, diversified, and open learning environment. This environment fosters a deeper appreciation for mathematical culture among students. The aim is to better integrate mathematics culture knowledge and enhance students' mathematical literacy in personalized teaching.

Exploration of Integrating Mathematical Culture into the Teaching of Linear Algebra

Exploration of Integrating Mathematical Culture into the Teaching of Linear Algebra

Investigating the drivers and barriers of digital resource utilization in mathematical culture curricula development: A PLS-SEM analysis with Chinese teachers

Investigating the drivers and barriers of digital resource utilization in mathematical culture curricula development: A PLS-SEM analysis with Chinese teachers

A Study of the Effects of Mathematical Culture on Academic Achievement: The Mediating Role of Non-intellectual Factors

A Study of the Effects of Mathematical Culture on Academic Achievement: The Mediating Role of Non-intellectual Factors

The Local Wisdom of Mathematical Language of Malay Community of Pangkalpinang: An Ethnographic Study

Pangkalpinang is the capital of Bangka Belitung Province by occupied most Melayu people with a rich culture. There are a number of cultures Pangkalpinang public relates to context learning mathematics. However, not many of the teachers in Pangkalpinang apply culture in learning mathematics. Whereas culture can be a starting point in learning mathematics. So the aim of the research for explore local wisdom quantity mathematics language public melayu Pangkalpinang which can used starting point in learning mathematics. The research used an exploration method with an approach of ethnography sourced from a literature review, field observation, and interviews with elders or the public who live in the area research place. Analysis of data through reduction data, presentation data, and concluding. The stages of research with a beginning observation about the context of public culture who made starting point learning. The next is the research theme which explores the language culture melayu Pangkalpinang public with related ethnomathematics, the next determine data source, data collection, analysis data, and drafting report and reflection. The result of the research shows that there is a quantity of language mathematics used by the Pangkalpinag public, and that matter can become a starting point in learning mathematics. Quantity language covers units, tens, twenties, hundreds, thousands, tens of thousands, hundreds of thousands, and millions, and also produces fractional numbers and indefinite numbers.

Навчальний посібник як елемент освітнього простору бакалавра математики в умовах змішаного навчання в Україні

The article considers the peculiarities of creating and functioning of a textbook (digital textbook) in higher mathematics for bachelors of mathematics in a blended learning environment in Ukraine, and reviews the literature on the topic. The purpose of the article is to analyze the problems and prospects of creating new type of textbooks and digital manuals in mathematical disciplines for higher education institutions in a blended learning environment in Ukraine. The features of a modern digital textbook in mathematical disciplines in the preparation of a bachelor of mathematics are discussed: 1) theoretical aspects of creating textbooks in the educational space of the bachelor of mathematics in the conditions of mixed learning in Ukraine; 2) structure and content of the digital textbook in accordance with the current regulatory framework and practical experience of teachers; 3) techniques of visualization of educational material in mathematical disciplines and demonstration of some of them in the author’s textbooks; 4) the use of CMC and digital technologies in textbooks based on a sound mathematical idea; the main criterion for the effectiveness of the use of mathematical programs in teaching higher mathematics is the availability of a methodological system for their use; 5) the results of the questionnaire, which indicate a positive attitude of students to the use of CMC in the study of mathematical disciplines; according to students, the role of programs for mathematical purposes in teaching should be auxiliary. It is shown that a high-quality digital textbook ensures the formation of not only the mathematical culture of a future specialist, but also the formation of such basic competencies as the ability and willingness to self-learn, apply knowledge, skills and abilities to work with computer mathematics systems, self-education and future professional activity. The use of a digital textbook integrated into the learning technology designed and implemented by the teacher allows him or her to choose their own creative strategy and methodology for teaching students.

Analysis and Research on the Integration of Mathematical Culture into Course Ideological and Political Education Cases

This article starts with mathematical culture and combines classic stories such as Cao Chong's weighing of the elephant and Han Xin's divide of oil. Analyze the ideological and political elements embedded in mathematical culture and effectively integrate them into classroom teaching. So as to achieve a silent effect on moistening things and implement the fundamental task of cultivating virtue and talent. Finally, strategies for classroom teaching are provided to provide some ideas for the reform of ideological and political education in university courses.

Application of binary lessons in mathematics as a factor of achieving the requirements of the updated Federal State Standards of basic general education

As part of the introduction of the updated Federal State Educational Standard for basic general education, the school is required to pay special attention not only to meeting the requirements for subject learning outcomes, but also to the development of functional literacy and soft skills. As part of the implementation of this direction, special attention is paid to increasing the level of mathematical literacy of students as an integral element of functional literacy. The key subjects in secondary schools that contribute to this process are mathematics, physics and computer science. Since the potential of meta-subjectivity and interdisciplinary communication of the subject of mathematics directly depends on its potential as a teaching and educational system, the article makes a critical assessment of the content of training and introduces proposals for its optimization in terms of focus on both the formation of mathematical literacy and the development of the mind and thinking of students, the formation of their mathematical culture and metamathematical knowledge. Paying attention to the mathematical component, the article notes that currently, as part of the implementation of the basic general education program, the emphasis is shifting to the area of the possibility of applying mathematical knowledge, skills and abilities to the problems of everyday reality. Thus, to increase the level of mathematical literacy as an integral element of functional literacy, an interdisciplinary consideration of the mathematics course and a search for ways to implement interdisciplinary connections are required. From this point of view, as an example for such an implementation, the issue of compiling and solving educational problems that can be used when conducting binary or integrated lessons in mathematics and physics was considered. The integrative nature of the content of binary lessons in mathematics and physics means the need for a synthesis of knowledge and methods of activity for students to implement it, which allows students to better assimilate the material, since they can see the connection between different subjects

Merangkul Diversitas Budaya melalui Matematika: Pendekatan Ethnomatematika dalam Pembelajaran Matematika di Sekolah

This study is important to embrace cultural diversity in mathematics learning with the aim of implementing an ethnomathematics approach in mathematics learning to help embrace students' cultural diversity, improve mathematical understanding, and increase student motivation in learning mathematics. The writing method uses literature review. The literature review procedure starts by collecting data in the form of references related to the implementation of culture in mathematics learning with an emphasis on ethnomathematics in school mathematics learning, followed by analyzing these references and presenting the implications of the results of the literature review in learning activities. Analysis of the results contains a complete description of how to analyze the concept under study using an analytical approach, namely through the process of analyzing data or information by providing arguments through logical thinking and then a conclusion is drawn. The implementation of Ethnomathematics in education is an important step towards a more inclusive, relevant and culturally oriented education. It helps to embrace the cultural diversity of students, improve mathematical understanding, and increase student motivation.

In memory of Vladimir Ivanovich Astafyev (30.11.1948 – 08.02.2024)

The article is dedicated to the memory of Doctor of Physical and Mathematical Sciences, Professor Vladimir Ivanovich Astafiev, whose professional activity for more than 35 years has been associated with Samara University. Scientific, teaching and organizational activities of V.I. Astafiev largely determined and will determine the scientific directions developed at the Faculty of Mechanics and Mathematics, and the educational activity at the Faculty of Mechanics and Mathematics. His boundless dedication to the university, his broad and deep education, and high mathematical culture allowed him to educate the whole pleiades of scientists and professors currently working at the university.

A Practical Study on Enhancing Students’ Mathematical Literacy by “Integration of Doing, Learning and Teaching”

In face of the mathematical foundation of students in higher vocational colleges, Tao Xingzhi’s educational thought is of great guiding significance. “Integration of doing, learning and teaching” is not only the theoretical basis of Tao Xingzhi’s educational thought, but also his methodology and action guideline. Tao Xingzhi emphasizes the unity of knowledge and action, among which action is greater than knowledge. This concept is isomorphic with the mathematical culture curriculum. Drawing on the idea of “integration of doing, learning and teaching”, we explore the math culture curriculum and expand the four forms of teaching and learning in math culture: theoretical training, practical exploration, research-based learning, and reflective learning. In the implementation of the school-based curriculum, local teaching resources should be fully exploited, constructing the mathematics teaching mode of “Integration of doing, learning and teaching”, effective teaching methods and classroom evaluation algorithms, ensuring the relevance of vocational education and improving mathematical literacy.

Some Measures of Teaching Mathematical Culture to Students Appropriate with the General Education Program in Mathematics 2018 through the Topic: Natural Logarithm – 6th Grade in Vietnam

Mathematical culture is an abstract concept in relation to fundamental characteristics in the quality and thinking of math learners. Not only does teaching math help learners obtain rules, methods, and strategies for solving the math problems in the process of math study but it also shows the learners with the reality value of learning math in tight relation to nature and society. In the context of innovations in the General Education Program in Mathematics 2018 and the educational objectives in the new era of Vietnam, teaching mathematical culture to students calls for special interest and determined action. On the basis of fundamental characteristics in the concept of Mathematics and objectives in the General Education Program in Mathematics 2018, we proposed some solutions of teaching Mathematical culture effectively by demonstrating examples in the topic: “Natural logarithm” – 6th grade Math. Teaching Mathematical culture at schools still draws little attention and emphasis. Proposing some measures of supporting teachers to overcome this difficulty shall make a positive impact on students' and teachers' awareness of the meaning and role of Mathematical culture in the process of learners’ comprehensive development.