Search results for: philosophy of mathematics

Authors: Jeansou Moun

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This study argues that constructivism and structuralism, which have been the two important schools of mathematical philosophy since the mid-19th century, can and should be synthesized into structure-constructivism. In fact, the philosophy of mathematics is divided into more than ten schools depending on the point of view. However, the biggest trend is Platonism which claims that mathematical objects are "abstract entities" that exists independently of the human mind and material objects. Its opposite is constructivism. According to the latter, mathematical objects are products of the construction of the human mind. However, whether the basis of the construction is a logical device, a symbolic system, or an empirical perception, it is subdivided into logicism, formalism, and intuitionism. However, these three schools themselves are further subdivided into various variants, and among them, structuralism, which emerged in the mid-20th century, is receiving the most attention. On the other hand, structuralism which emphasizes structure instead of individual objects, is divided into non-eliminative structuralism, which supports the a priori of structure, and non-eliminative structuralism, which rejects any abstract entity. In this context, it is believed that the structure itself is not an a priori entity but a result of the construction of the cognitive subject and that no object has ever been given to us in its full meaning from the outset. In other words, concepts are progressively structured through a dialectical cycle between sensory perception, imagination (abstraction), concepts, judgments, and reasoning. Symbols are needed for formal operation. However, without concrete manipulation, the formal operation cannot have any meaning. However, when formal structurization is achieved, the reality (object) itself is also newly structured. This is the "structure-constructivism".

Keywords: philosophy of mathematics, platonism, logicism, formalism, constructivism, structuralism, structure-constructivism

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Authors: Priscilla Eng Lian Murphy

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This study examines the nature of student conceptions of mathematics in higher education using quantitative research methods. This study validates the Short Form of Conception of Mathematics survey as well as reveals the epistemological nature of student conceptions of mathematics. Using a random sample of mathematics students in Australia and New Zealand (N=274), this paper highlighted three key findings, of relevance to lecturers in higher education. Firstly, descriptive data shows that mathematics students in Australia and New Zealand reported that mathematics is about numbers and components, models and life. Secondly, models conceptions of mathematics predicted strong examination performances using regression analyses; and thirdly, there is a positive correlation between high mathematics examination scores and cohesive conceptions of mathematics.

Keywords: higher education, learning mathematics, mathematics performances, student conceptions of mathematics

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Authors: Zafer F. Alshehri

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This paper investigated mathematics teachers' knowledge of the effective teaching strategies at the Southern Region of Saudi Arabia. Specifically, it aimed to identify a list of the effective strategies of teaching mathematics; the extent of mathematics teachers' knowledge of these strategies; and the differences (if any) of mathematics teachers' knowledge of these strategies regarding scientific degree, teaching experience, and educational sage. To achieve that, the researcher used the descriptive approach for preparing a list of effective mathematics teaching strategies and developing a questionnaire of a sample of (240) mathematics teachers. As a result, there were differences in teachers' knowledge of the effective teaching strategies, which ranked as a low, and the highest knowledge was in favor of higher degrees. In addition, there were a few recommendations and suggestions for developing mathematics teachers' knowledge of effective teaching strategies, such as involving in workshops of mathematics teaching strategies, integrating technology into mathematics teaching, and using research findings in the instruction process.

Keywords: mathematics teaching knowledge, mathematics teachers, effective mathematics teaching strategies

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Authors: Serap Durmus

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The aim of this paper is to exemplify the relation of architecture and philosophy over the Japanese architect Toyo Ito’s conceptual architecture. The study is practiced in ‘Architecture and Philosophy Readings’ elective course with 22 sophomore architecture students in Karadeniz Technical University Department of Architecture. It is planned as a workshop, which discusses the design philosophy of Toyo Ito’s buildings and the reflections of concept in his intellectual architecture. So, the paper contains Toyo Ito’s philosophy, his discourses and buildings and also thinking similarities with philosopher Gilles Deleuze. Thus, the workshop of course is about architecture and philosophy relationship. With this aspect, a holistic graphic representation is aimed for Toyo Ito who thinks that everything composes a whole. As a result, it can be said that architect and philosopher interaction in architecture and philosophy relation supports creative thinking. Conceptual architecture of Toyo Ito has philosophical roots and his philosophy can be read over his buildings and can be represent totally via a holistic pattern.

Keywords: architecture, conceptual architecture, Gilles Deleuze, philosophy, Toyo Ito

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Authors: Asma Alzahrani, Elizabeth Stojanovski

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This study investigated factors that influence mathematics achievement based on a sample of ninth-grade students (N  =  21,444) from the High School Longitudinal Study of 2009 (HSLS09). Key aspects studied included efficacy in mathematics, interest and enjoyment of mathematics, identity with mathematics and future utility beliefs and how these influence mathematics achievement. The predictability of mathematics achievement based on these factors was assessed using correlation coefficients and multiple linear regression. Spearman rank correlations and multiple regression analyses indicated positive and statistically significant relationships between the explanatory variables: mathematics efficacy, identity with mathematics, interest in and future utility beliefs with the response variable, achievement in mathematics.

Keywords: Mathematics achievement, math efficacy, mathematics interest, factors influence

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Authors: Felicitas Pielsticker, Christoph Pielsticker, Ingo Witzke

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Many people know ‘Mathematics needs practice!’ statement or similar ones from their mathematics lessons. It seems important to practice when learning mathematics. At the same time, it also seems important to practice how to learn mathematics. This paper places neuroscientific-radiological findings on “practicing” while learning mathematics in a context of mathematics education. To accomplish this, we use a literature-based discussion of our case study on practice. We want to describe neuroscientific-radiological findings in the context of mathematics education and point out stimulating connections between both perspectives. From a connective perspective we expect incentives that lead discussions in future research in the field of mathematics education.

Keywords: functional magnetic resonance imaging, fMRI, education, mathematics learning, practicing

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Authors: Abubakar Attahiru

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Mathematics plays an important role in the real situation. The development of the study of mathematics is a result of the needs of man to survive and interact with one another in society. Mathematics is the universal language that is applied in almost every aspect of life. Mathematics gives us a way to understand patterns, define relationships, and predict the future. The changes in the content and methods of studying mathematics follow the trends in societal needs and developments. Also, the developments in mathematics affect the developments in society. Generally, education helps to develop society while the activities and needs of the society dictate e educational policy of any society. Among all the academic subjects studied at school, mathematics has distinctly contributed more to the objectives of general education of man than any other subject. This is a result of the applications of mathematics to all spheres of human endeavors’. This paper looks at the meaning of the basic concepts of mathematics, science, and technology, the application of mathematics in a real-life situation, and their relationships with society. The paper also shows how mathematics, science, and technology affect the existence and development of society and how society determines the nature of mathematics studied in society through its educational system.

Keywords: application, mathematics, real life, situation

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Authors: Sevcan Ozturk

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The aim of this paper is to analyze the twentieth-century Muslim philosopher Muhammad Iqbal’s philosophy of action in the light of the main issues of contemporary philosophy of action. Iqbal is one of the most celebrated and eminent figures of modern Islamic thought. However, a review of the works on Iqbal shows that most of the central concepts of his philosophy have not received enough attention. His notion of ‘action’ in its philosophical context is one of these concepts. One of the main characteristics of Iqbal’s approach is that he develops his discussion around the main themes of contemporary philosophy of action, which includes ontological and conceptual questions regarding the nature of human actions. He also discusses that action is the only way to develop human personality, and that the human being can only achieve immortality promised by Islam through his actions. Therefore, while presenting an approach that can be read in the light of contemporary philosophy of action, which has become one of the significant parts of modern philosophical discussions in the west particularly since the nineteenth century, he, at the same time, develops his own philosophy of action in the light of Islamic resources. Consequently, these two main characteristics of his discussion of the notion of action make his philosophy of action an important contribution to contemporary philosophy of action, a field that ignores the discussions of Muslim philosophers on action. Therefore, this paper aims at highlighting Iqbal’s contribution to the modern debate of action by analysing Iqbal’s notion of action in the light of the contemporary issues of philosophy of action. This will, first of all, include an examination of contemporary action theory. Although the main discussions of contemporary philosophy of action will provide the methodology of this study, the main paradigms of Iqbal’s approach to the notion of action will also be considered during the examination of the discussions of philosophy of action. Then, Iqbal’s own philosophy of action will be established in the light of the contemporary philosophy of action. It is hoped that this paper will cultivate a dialogue between Iqbal scholars and those working in the field of philosophy of action, and that it will be a contribution to the fields of Iqbal studies, philosophy of action, and intercultural philosophy.

Keywords: action, development of personality, Muhammad Iqbal, philosophy of action

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Authors: Asia Majeed

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The learning of mathematics in science, engineering and social science programs can be enhanced through practical problem-solving techniques. The instructors can design their lessons with some strategies to improve students’ educational needs and accomplishments in mathematics classrooms. The use of technology in class problem solving and application sessions can enhance deep understanding of mathematics among students. As mathematician, we believe in subject specific and content-driven teaching methods. Through technology the relationship between the physical problems and the mathematical models can be analyzed. This paper is about selective use of technology in mathematics classrooms and helpful to others mathematics instructors who wishes to improve their traditional teaching techniques to improve students’ attitude in learning mathematics. These techniques corpus can be used in teaching large mathematics classes in science, technology, engineering, and social science.

Keywords: attitude in learning mathematics, mathematics, non-mathematics undergraduate students, technology

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Authors: Saeed Seyed Agha Banihashemi

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The history of mathematics as one of the trends in the field of mathematics has special importance and in most of the important universities of the world, this trend in the field of mathematics is taught and researched. In teaching the history of mathematics and mathematics books, special attention is paid to the scientific works of the four Greek-Indian-Islamic and European civilizations, although the history of mathematics in China and East Asia is a special category due to its ancient civilization. In this article, while examining mathematics in the Islamic empire, the factors of the scientific rise and fall of the Islamic empire, which can include mathematics, have been studied. In this article, according to my own research and other sources mentioned s, It is believed the factors of scientific rise and fall in the Islamic Empire.

Keywords: history of mathematics, alkandi, cryptology, manuscripts

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Authors: Gohar Marikyan

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This article is about investigating how to effectively use visuals in teaching introductory mathematics. The analysis showed the use of visuals in teaching introductory mathematics can be an effective tool for enhancing students’ learning and engagement in mathematics. The use of visuals was particularly effective for teaching concepts of numbers, operations with whole numbers, and properties of operations. The analysis also provides strong evidence that the effectiveness of visuals varied depending on the way the visuals are used. Furthermore, the analysis revealed that the use of visuals in mathematics instruction had a positive impact on student’s attitudes toward mathematics, with students showing higher levels of motivation and enjoyment in mathematics classes.

Keywords: analytical thinking skills, instructional strategies with visuals, introductory mathematics, student engagement and motivation

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Authors: Talya Alon-Altman

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This article examines communication between a human being and God in the Jewish philosophy of the German-Jewish philosopher, Hermann Cohen (1842–1918). It observes Cohen’s Jewish philosophy in light of communication theories, using the theoretical wealth of a relatively new discipline – communication, in order to deepen the philosophical and theological discussion. This new perspective enriches our view of philosophy, theology, and offers a fresh and novel approach to the philosophical and theological study of communication, and media theology in particular.

Keywords: hermann cohen, media theology, modern jewish philosophy, jewish philosphy, communication

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Authors: Fahad Suleiman

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The aim of this paper is to study students’ view on mathematics learning in Katsina State Senior Secondary Schools of Nigeria, such as their conceptions of mathematics, attitudes toward mathematics learning, etc. A questionnaire was administered to a random sample of 1,225 senior secondary two (SS II) students of Katsina State in Nigeria. The data collected showed a clear picture of the hurdles that affect the teaching and learning of mathematics in our schools. Problems such as logistics and operational which include shortage of mathematics teachers, non–availability of a mathematics laboratory, etc. were identified. It also depicted the substantial trends of changing views and attitudes toward mathematics across secondary schools. Students’ responses to the conception of mathematics were consistent and they demonstrated some specific characteristics of their views in learning mathematics. This survey has provided useful information regarding students’ needs and aspirations in mathematics learning for curriculum planners and frontline teachers for future curriculum reform and implementation.

Keywords: attitudes, mathematics, students, teacher

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Authors: Khan Shahid, Shahid Zakia

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The article demonstrates how Theology and Islamic Philosophy can be illuminated and enhanced through the application of the SOUL framework (Sincere act, Optimization effort, Ultimate goal, Law compliance). The study explores historical development using a phenomenological approach and integrates the SOUL framework to enrich Theology and Islamic Philosophy. The proposed framework highlights the significance of these elements, ultimately leading to a deeper understanding of Theology and Islamic Philosophy.

Keywords: SOUL framework, illuminating human identity, theology, Islamic Philosophy, sincerity act, optimization effort, ultimate goals, law compliance

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Authors: Sisay Tamrat Ayalew

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This paper aims to explore the two contradictory debates about the educational philosophy of universities in the context of Ethiopia. It also explores how the understanding of the philosophy of the university is shaped by environmental factors and exacerbates the marginalization of youth. On the one hand, universities are perceived as places where knowledge can solve a certain practical problem. On the other hand, universities are places where knowledge is produced and disseminated irrespective of its immediate use value. This study found that understanding the philosophy of education varies across time and place. In the Ethiopian context, there is neither a disinterested pursuit of knowledge nor an instrumentalist epistemology nor a synthesis of the two. It disregards the value of knowledge altogether and overly simplifies the philosophy of instrumentalist epistemology to the extent of buying and selling certificates, even in the absence of formal training.

Keywords: philosophy of universities, marginalized youth, diploma mill, instrumentalist epistemology, disinterested pursuit

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Authors: Sharon K. O'Kelley

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At the heart of mathematics education is the concept of communication which many teachers envision as the influential dialogue they conduct with their students. However, communication in the mathematics classroom operates in different forms at different levels, both externally and internally. Specifically, it can be a central component in the building of critical thinking skills that requires students not only to know how to communicate their solutions to others but that they also be able to navigate their own thought processes in search of those solutions. This paper provides a review of research on the role of communication in the building of critical thinking skills in mathematics with a focus on the problem-solving process and the implications this interplay has for the teaching and learning of mathematics.

Keywords: communication in mathematics, critical thinking skills, mathematics education, problem-solving process

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Authors: Mohammad Hossein Badamchi

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As Leo Strauss demonstrates in his works, Political Philosophy in the western tradition is an epistemic-naturalistic tradition insofar Hanna Arendt mentioning the deep conflict between philosophy and politics, opposed to be named “political philosopher” prefer the title “political thinker” for herself. In fact, the Western political philosophy’s tendency to derive politics from natural law and epistemic argumentations makes a paradox between the actual “the political” and the theoretical “natural politics” in the western tradition. In this paper, we want to show that Hanna Arendt, in her exploration to find a new realm of the non-naturalistic way of thinking about the political is walking on a completely different tradition of political philosophy which was first established by Al-Farabi, the founder of Islamic political philosophy around thousand years after Greek Philosophy. Despite Aristotelian Polis which is a Natural community based on true natural rationality to reach the natural purposes of mankind, Al-Farabi’s Madine (his reconstructed concept of Aristotelian Polis) is completely constructed against natural cities, which are formulated by necessity logic of natural arguments and natural deception of humanity. In fact, Farabi considers the natural understanding of politics as Ignorant ideologies used by governments to suppress people. Madine in Farabi’s work is not a natural institution but is a collaborative constitution founded by citizens. So despite Aristotelian thinking, here we don’t have just A Polis that is the one true polis, but we have various multiple Madines among one, is virtuous not by definition but by real action of citizens and civil relations. Al-Farabi’s political philosophy is not a Naturalistic-epistemic Political Philosophy but is a Phronetic Political Philosophy which Hanna Arendt wants to establish outside of western contemplative anti-active political philosophy tradition.

Keywords: al-farabi, hanna arendt, natural politics, the political, political philosophy

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Authors: Merina Islam

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In this paper, an attempt is made to draw out the contemporary relevance of philosophy in school education of India. This paper attempt is made to inquire into the importance of philosophy for schoolchildren in the Indian cultural context. As education in philosophy for children is useful for teaching the acquisition of knowledge from the information provided, for questioning of rules in different contexts, and for the analysis of facts encountered in daily life. Ethical attitudes can neither be derived from the information provided about the moral rules, nor do they result from a practice of unquestioning obedience It includes some studies done in this field and also reports on philosophy. Many European countries emphasise on the above said theme. There are lots of work and research done by many philosophers on philosophy for children. Indian values system is different from the West and more important than others. Education has become a tool to achieve efficiency in all walks of human life whether social, political, religious or philosophical. Every nation started developing its own specific set of educational values. For India it is very necessary to increase philosophical thinking study and research. Philosophy could make significant contribution, particularly in relation to children's moral development because the Indian curriculum currently neglects this aim. A teacher can play an important role in promoting this discussion because a teacher has the capacity to influence students with their thoughts and personality and engages them in these activities. Philosophy needs to be included in the curriculum and have demonstrated cognitive and social gains in children who were explored to philosophy in their schooling.

Keywords: education, ethical attitude, moral value, philosophy

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Authors: Dong-Joong Kim, Sangho Choi, Woong Lim

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This paper discusses Sfard’s commognitive approach and provides an empirical study as an example to illustrate the theory as method. Traditionally, research in mathematics education focused on the acquisition of mathematical knowledge and the didactic process of knowledge transfer. Through attending to a distinctive form of language in mathematics, as well as mathematics as a discursive subject, alternative views of making meaning in mathematics have emerged; these views are therefore “critical,” as in critical discourse analysis. The commognitive discourse analysis method has the potential to bring more clarity to our understanding of students’ mathematical thinking and the process through which students are socialized into school mathematics.

Keywords: commognitive framework, discourse analysis, mathematical discourse, mathematics education

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Authors: Patricia Agboro

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The dominant strands of pedagogic ideas are often western in origin/orientation. This is the case because of the hegemony of the western world in global academia. For this reason, peculiarities and considerations of context are often swept to the margins as educational thinkers emphasize patently Eurocentric and one-size-fits-all solutions to the problems of effective teaching. This paper takes as a starting point the notion that pedagogy must be context specific and pragmatic in its application. It is from this perspective that it focuses on the challenges of teaching philosophy to students in the Nigerian tertiary institutions. Philosophy students in Nigeria usually come across philosophy for the first time at the tertiary level. This raises the problem of inadequate exposure. Beyond this, a substantial number of candidates are admitted into the philosophy program based on the Nigerian version of ‘affirmative action’ which is known as the quota system. This paper addresses the problems highlighted above and hosts of other issues as well as provides recommendations that can improve effectiveness of teaching philosophy at the university level.

Keywords: justice, quota system, pedagogy, federal character

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Authors: Fredrick Olatunji Ajegbomogun, Clement Ola Adekoya

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Mathematics has, for ages, been an essential subject in the education curriculum across the globe. The word mathematics scares the majority of undergraduate students and even more library and information science (LIS) students who have not seen the pertinence of the subject to their academic pursuits. This study investigated mathematics anxiety and attitudes among LIS undergraduate students in Nigerian universities. The study adopted a descriptive survey research design. Multi-stage and convenient sampling techniques were used for the study. Data were collected using a questionnaire and analyzed using descriptive statistical tools. It was found that mathematics is important in LIS education. The students displayed a high level of anxiety toward mathematics. The students have a negative attitude toward mathematics. However, the hypotheses tested revealed that while the LIS female undergraduate students displayed low levels of anxiety and a positive attitude toward mathematics, the level of anxiety of the male undergraduate students was high, and their attitude toward mathematics was negative. It was recommended that LIS undergraduate students develop a positive attitude towards mathematics and appreciate that the paradigm shift in the practice of librarianship is towards mathematics as a way of developing technological tools (hardware and software) to facilitate the effective delivery of library services.

Keywords: anxiety, attitude, library and information science, mathematics anxiety, undergraduate students, Nigerian universities

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Authors: Sukanya Sripho

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The purpose of this research was to study the role of local administration management to promote culture based on philosophy of sufficiency economy to many communities in Thailand. The philosophy was given to the Thai people by their King and become one of the important policies from the Thai government. A total of 375 local people in main district, Amnadcharoen province were selected by random sampling. A questionnaire was used as the tool for collecting data. Descriptive statistics in this research included percentage, mean, and multiple regression analysis. The findings revealed that the role of facilitator was utilized the most from the management in order to promote culture based on philosophy of sufficiency economy to many communities in Thailand.

Keywords: administration, management, philosophy of sufficiency economy, facilitator

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Authors: Odunayo E. Popoola, Charles A. Aladesaye, Sunday O. Gbenro

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The study investigated the impact of technological advancement on the academic performance of Mathematics students in tertiary institutions in Ekiti State, Nigeria. The quasi-experimental research design was adopted for the study. The population for the study consisted of all the 100 level undergraduates and all Mathematics lecturers in the Department of Mathematics in all the five tertiary institutions in the State. The sample of this study was made of one hundred (100) students and fifty (50) lecturers randomly selected using stratified sampling technique. Hypotheses were postulated to find out whether (i) advancement in technology influences the academic performance of students in Mathematics (ii) teaching method and gender disparity influences the academic performance of students in Mathematics. The study revealed that teaching method, gender, and technology influence academic performance of students in Mathematics. Based on the findings, it is recommended that curriculum and assessment in school Mathematics should explicitly require that all undergraduate become proficient in using digital technologies for mathematical purposes so as to enhance the better performance of students in Mathematics.

Keywords: mathematics, performance, tertiary institutions, technology

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Authors: Huseyin Demir

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This article is the results of a quantitative research about the effects of using interactive whiteboards in high school mathematics classroom. The aim of this article is to investigate the effects of using interactive whiteboards in high school mathematics classrooms. During the article the following questions are answered: 'What can we do with an interactive whiteboard?' and 'Do we really need those properties of the interactive whiteboard?' For the research part of the article, two groups of lessons are executed in Private Demirel College. In the first 6 weeks, the topics are taught on a normal blackboard. Starting from seventh week, we have used interactive whiteboard in the mathematics lessons. At the end of an eight week lectures with interactive whiteboards, a questionnaire is prepared and executed for the students. In the questionnaire 10 questions were asked about the benefits and differences of using the interactive whiteboards in mathematics lessons. By looking at the conclusion of the results of questionnaire and some discussions with the students we found some useful benefits of the usage of interactive whiteboards in mathematics lessons. This article will be helpful for the high school mathematics teachers.

Keywords: mathematics education, interactive whiteboard, blackboard, using interactive whiteboard in mathematics lessons

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Authors: Ihsan Orsan Oglah Elrabbaei

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This research stems from the philosophy of education notion, as it is a fundamental pillar within or component of the philosophy of education. It is the general framework that society takes towards the future in order to build its integrated educational system amid the variables that surround it, in order to prepare its members in all aspects of cognitive, skill, and behavioral life, so that there is a clear concept of the system of productive values, according to the vision of philosophy that defines its future roles, which can be found in the system of productive values. With the resignation, everything changes. As a result, the philosophy of education is anticipated to evolve in response to perceived changes in society in terms of the nature of its human and material resources. The study will answer the following questions: Has the philosophy of education changed to accommodate this change? Alternatively, is the change that occurs because of natural growth without education having a role in directing this change and being aware of it in order to fit with national, regional, and global changes? Were the national educational goals and curricula and their programs viewed through the lenses of interest? On the other hand, do things happen without realizing that the philosophy of education has changed and that it proceeds according to the natural rolling of the invisible impulse? The study concluded that we must reconsider the philosophy of education and redefine who is an educated person. In addition, to recognize all the values of the roles that the individual can play in his society, according to his abilities, and with respect. Moreover, building a new philosophy of education based on what society can look at and what it wants from a flexible future takes the concept of changing life values, their contents, diversity, and the roles of each individual in them.

Keywords: higher education system, jordan, philosophy, premises preparation.

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Authors: Nantida Otakum

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The purpose of the study is to study the level of the application of sufficiency economy philosophy among the employees of Suan Sunandha Rajabhat University. This research also investigates the relationship between the application of sufficiency economy philosophy and work morale of the employees. The research methodology employed a self-administered questionnaire as a quantitative method. The respondents were employees who are working for Suan Sunandha Rajabhat University. Totally, 365 usable questionnaires were returned. Descriptive and inferential statistics were applied in data analysis. The results showed that the level of the application of sufficiency economy philosophy among the employees was at a good level. The results also indicated that the application of sufficiency economy philosophy was positively correlated with work morale of the employees of Suan Sunandha Rajabhat University.

Keywords: employees, Suan Sunandha Rajabhat University, sufficiency economy philosophy, work morale

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Authors: Irina Peterburgsky

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We have been working on finding internship positions for our math and computer science majors. Among many other positive outcomes of internship for students majoring in mathematics, there are: students see new applications of mathematics to real life and see new scientific problems; they learn new methods, tools, etc. that they have not seen in their classes; they appreciate the power of mathematics that increases their interest in learning mathematics; they make decisions to take more advanced math courses; students understand better what their potentials, strong points, and limitations are; learn what work ethic is; learn how to work as a member of a team at a workplace; understand better how to offer their help and how to ask for help; start building their professional relationship; build self-confidence as young professionals, and what is the most important - they get a better understanding of their goals in their future professional careers.

Keywords: internship, mathematics, positive outcoms for students, workplace

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Authors: Krongthong Khairiree

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The purpose of this research study is to explore mathematics project-based learning approach and the use of technology in the context of school mathematics in Thailand. Data of the study were collected from 6 sample secondary schools and the students were 6-14 years old. Research findings show that through mathematics project-based learning approach and the use of GSP, students were able to make mathematics learning fun and challenging. Based on the students’ interviews they revealed that, with GSP, they were able to visualize and create graphical representations, which will enable them to develop their mathematical thinking skills, concepts and understanding. The students had fun in creating variety of graphs of functions which they can not do by drawing on graph paper. In addition, there are evidences to show the students’ abilities in connecting mathematics to real life outside the classroom and commercial products, such as weaving, patterning of broomstick, and ceramics design.

Keywords: mathematics, project-based learning, Geometer’s Sketchpad (GSP), commercial products

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Authors: Larry Wang

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The aim of this paper is to demonstrate how an online homework system is integrated in teaching and learning mathematics and how it improves the student success rates in some gateway mathematics courses. WeBWork provided by the Mathematical Association of America is adopted as the online homework system. During the period of 2010-2015, the system was implemented in classes of precalculus, calculus, probability and statistics, discrete mathematics, linear algebra, and differential equations. As a result, the passing rates of the sections with WeBWork are well above other sections without WeBWork (about 7-10% higher). The paper also shows how the WeBWork system was used.

Keywords: gateway mathematics, online grading, pass rate, WeBWorK

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Authors: Esther Yemisi Akinjiola

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Mathematics has been regarded as the backbone of science and technological development, without which no nation can achieve any sustainable growth and development. Mathematics is a useful tool to simplify science by quantification of phenomena; hence physics and chemistry cannot be done without Calculus and Statistics. Mathematics is used in physical science to calculate the measurement of objects and their characteristics, as well as to show the relationship between different functions and properties. Mathematics is the building block for everything in our daily lives, including the use of mobile devices, architecture design, ancient arts, engineering sports, and. among others. Therefore the study of Mathematics is made compulsory at primary, basic, and secondary school levels. Thus, this paper discusses the concepts of Mathematics, science, and their relationships. Also, it discusses Mathematics contents needed to study science-oriented courses such as physics education, chemistry education, and biology education in the tertiary institution. The paper concluded that without adequate knowledge of Mathematics, it will be difficult, if not impossible, for science education students to cope in their field of study.

Keywords: mathematical knowledge, prerequisite, science education, tertiary institution

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