The journal aims to foster awareness of philosophical aspects of mathematics education and mathematics, understood broadly to include most kinds of theoretical reflection and research; to freely disseminate new thinking and to encourage informal communication, dialogue and international co-operation between teachers, scholars and researchers in mathematics, philosophy and education.
Recent authors have included: Brian Greer, David W. Jardine, David W. Stinson, Christopher H. Dubbs, Kathleen Nolan, Margaret Walshaw, Nicolas Balacheff, Ole Skovsmose, Paul Ernest, Tony Brown, Roberto Baldino and Tânia Cabral, Roy Wagner, Sal Restivo, Steven Khan, Ubiratan D’Ambrosio, Yasmine Abtahi.
Special issues of the journal have focussed on
Self-Based Methodology (issue no. 40, 2023)
Dedicated to Ubi D'Ambrosio (issue no. 37, 2021)
Mathematics Education and the Living World: Responses to Ecological Crisis (issue no. 32, 2017)
The Erdős number describes the "collaborative distance" between mathematician Paul Erdős and another person, as measured by authorship of mathematical papers. The same principle has been applied in other fields where a particular individual has collaborated with a large and broad number of peers.
Social science is one of the branches of science, devoted to the study of societies and the relationships among individuals within those societies. The term was formerly used to refer to the field of sociology, the original "science of society", established in the 18th century. In addition to sociology, it now encompasses a wide array of academic disciplines, including anthropology, archaeology, economics, geography, linguistics, management, communication studies, psychology, culturology and political science.
Hermeneutics is the theory and methodology of interpretation, especially the interpretation of biblical texts, wisdom literature, and philosophical texts. As necessary, hermeneutics may include the art of understanding and communication.
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry.
Social constructivism is a sociological theory of knowledge according to which human development is socially situated, and knowledge is constructed through interaction with others. Like social constructionism, social constructivism states that people work together to actively construct artifacts. But while social constructivism focuses on cognition, social constructionism focuses on the making of social reality.
In mathematics education, ethnomathematics is the study of the relationship between mathematics and culture. Often associated with "cultures without written expression", it may also be defined as "the mathematics which is practised among identifiable cultural groups". It refers to a broad cluster of ideas ranging from distinct numerical and mathematical systems to multicultural mathematics education. The goal of ethnomathematics is to contribute both to the understanding of culture and the understanding of mathematics, and mainly to lead to an appreciation of the connections between the two.
Constructivism is a view in the philosophy of science that maintains that scientific knowledge is constructed by the scientific community, which seeks to measure and construct models of the natural world. According to constructivists, natural science consists of mental constructs that aim to explain sensory experiences and measurements, and that there is no single valid methodology in science but rather a diversity of useful methods. They also hold that the world is independent of human minds, but knowledge of the world is always a human and social construction. Constructivism opposes the philosophy of objectivism, embracing the belief that human beings can come to know the truth about the natural world not mediated by scientific approximations with different degrees of validity and accuracy.
Educational research refers to the systematic collection and analysis of evidence and data related to the field of education. Research may involve a variety of methods and various aspects of education including student learning, interaction, teaching methods, teacher training, and classroom dynamics.
The UCLA School of Education and Information Studies is one of the academic and professional schools at the University of California, Los Angeles. Located in Los Angeles, California, the school combines two departments. Established in 1881, the school is the oldest unit at UCLA, having been founded as a normal school prior to the establishment of the university. It was incorporated into the University of California in 1919.
This Charles Sanders Peirce bibliography consolidates numerous references to the writings of Charles Sanders Peirce, including letters, manuscripts, publications, and Nachlass. For an extensive chronological list of Peirce's works, see the Chronologische Übersicht on the Schriften (Writings) page for Charles Sanders Peirce.
The Journal of Philosophy is a monthly peer-reviewed academic journal on philosophy, founded in 1904 at Columbia University. Its stated purpose is "To publish philosophical articles of current interest and encourage the interchange of ideas, especially the exploration of the borderline between philosophy and other disciplines." Subscriptions and online access are managed by the Philosophy Documentation Center.
A metatheory or meta-theory is a theory on a subject matter that is a theory in itself. Analyses or descriptions of an existing theory would be considered meta-theories. If the subject matter of a theoretical statement consists of one or multiple theories, it would also be called a meta-theory. For mathematics and mathematical logic, a metatheory is a mathematical theory about another mathematical theory. Meta-theoretical investigations are part of the philosophy of science. The topic of metascience is an attempt to use scientific knowledge to improve the practice of science itself.
Patrick Colonel Suppes was an American philosopher who made significant contributions to philosophy of science, the theory of measurement, the foundations of quantum mechanics, decision theory, psychology and educational technology. He was the Lucie Stern Professor of Philosophy Emeritus at Stanford University and until January 2010 was the Director of the Education Program for Gifted Youth also at Stanford.
The University of Hawaiʻi Press is a university press that is part of the University of Hawaiʻi.
Yossi Dahan is a law professor and the Head of the Human Rights Division at the College of Law and Business. He is the chairperson and cofounder of Adva Center, an editor and cofounder of Haokets.org, and teaches philosophy at the Open University. Dahan is an expert in labor law, workers' rights and global justice, theories of social justice, the right to education and educational justice.
James Franklin is an Australian philosopher, mathematician and historian of ideas.
The International Encyclopedia of the Social & Behavioral Sciences, originally edited by Neil J. Smelser and Paul B. Baltes, is a 26-volume work published by Elsevier. It has some 4,000 signed articles, and includes 150 biographical entries, 122,400 entries, and an extensive hierarchical subject index. It is also available in online editions. Contemporary Psychology described the work as "the largest corpus of knowledge about the social and behavioral sciences in existence." It was first published in 2001, with a 2nd edition published in 2015. The second edition is edited by James D. Wright.
Mathematical beauty is the aesthetic pleasure derived from the abstractness, purity, simplicity, depth or orderliness of mathematics. Mathematicians may express this pleasure by describing mathematics as beautiful or describe mathematics as an art form, or, at a minimum, as a creative activity.
Ethics in mathematics is an emerging field of applied ethics, the inquiry into ethical aspects of the practice and applications of mathematics. It deals with the professional responsibilities of mathematicians whose work influences decisions with major consequences, such as in law, finance, the military, and environmental science. When understood in its socio-economic context, the development of mathematical works can lead to ethical questions ranging from the handling and manipulation of big data to questions of responsible mathematisation and falsification of models, explainable and safe mathematics, as well as many issues related to communication and documentation. The usefulness of a Hippocratic oath for mathematicians is an issue of ongoing debate among scholars. As an emerging field of applied ethics, many of its foundations are still highly debated. The discourse remains in flux. Especially the notion that mathematics can do harm remains controversial.
Mathematics for social justice is a pedagogical approach to mathematics education that seeks to incorporate lessons from critical mathematics pedagogy and similar educational philosophies into the teaching of mathematics at schools and colleges. The approach tries to empower students on their way to developing a positive mathematics identity and becoming active, numerically literate citizens who can navigate and participate in society. Mathematics for social justice puts particular emphasis on overcoming social inequalities. Its proponents, for example, Bob Moses, may understand numerical literacy as a civil right. Many of the founders of the movement, e.g. Eric Gutstein, were initially mathematics teachers, but the movement has since expanded to include the teaching of mathematics at colleges and universities. Their educational approach is influenced by earlier critical pedagogy advocates such as Paulo Freire and others. Mathematics for social justice has been criticised, however, its proponents argue that it both fits into existing teaching frameworks and promotes students' success in mathematics.
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