Philosophy of mathematics education
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Philosophy of Mathematics Education Open
This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its o…
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Integration of computational thinking in K-12 mathematics education: a systematic review on CT-based mathematics instruction and student learning Open
There has been substantial research undertaken on the integration of computational thinking (CT) in K-12 mathematics education in recent years, particularly since 2018 when relevant systematic reviews were conducted on the topic. Many empi…
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STEM Education: What Does Mathematics Have to Offer?. Open
The emphasis on science, technology, engineering, and mathematics (STEM) education in recent times could be perceived as business as usual or as an opportunity for innovation and change in mathematics classrooms. Either option presents cha…
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The Philosophy of Mathematics Education Open
This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its o…
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Post-normal science and mathematics education in uncertain times: Educating future citizens for extended peer communities Open
In this paper we argue that the academic fields of critical mathematics education and post-normal science are complementary and can provide mutual benefits for the future. Post-normal science promotes the idea of extended peer communities,…
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An Aristotelian realist philosophy of mathematics: mathematics as the science of quantity and structure Open
Mathematics is as much a science of the real world as biology is. It is the science of the world's quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of math…
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Mathematics for Whom: Reframing and Humanizing Mathematics Open
Mathematics for social justice allows students to see mathematics as an analytic tool to understand and influence issues important to them and their communities. Existing work in teaching mathematics for social justice often connects to se…
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Mathematics Student Teachers’ Epistemological Beliefs about the Nature of Mathematics and the Goals of Mathematics Teaching and Learning in the Beginning of Their Studies Open
This article examines Finnish mathematics student teachers’ epistemological beliefs concerning the nature of mathematics and the goals of mathematics teaching and learning solely in the beginning of their studies at university. A total of …
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Epistemic injustice in mathematics education Open
Equity and ethics in the learning of mathematics is a major topic for mathematics education research. The study of ethics and injustice in relation to epistemic pursuits, such as mathematics, is receiving a great deal of interest within co…
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Styles of reasoning for mathematics education Open
Although reasoning is a central concept in mathematics education research, the discipline is still in need of a coherent theoretical framework of mathematical reasoning. With respect to epistemological problems in the dominant discourses o…
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PERKEMBANGAN MATEMATIKA DALAM FILSAFAT DAN ALIRAN FORMALISME YANG TERKANDUNG DALAM FILSAFAT MATEMATIKA Open
Philosophy of mathematics does not add a number of new mathematical theorems or theories, so a philosophy of mathematics is not mathematics. The philosophy of mathematics is an area of reflection about mathematics. After studying for a l…
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What is the Mathematics in Mathematics Education? Open
In this paper I tackle the question What is the mathematics in mathematics education? By providing three different frames for the word mathematics. 1. Frame 1: Mathematics as an abstract body of knowledge/ideas, the organization of that in…
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Language challenges in mathematics education for English language learners: A literature review Open
Traditionally, the difficulties associated with mathematics were largely seen as coming from the cognitive demands of mathematics itself. It is now accepted that language and mathematics are connected in mathematics learning and teaching, …
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PERKEMBANGAN MATEMATIKA DALAM FILSAFAT DAN ALIRAN FORMALISME YANG TERKANDUNG DALAM FILSAFAT MATEMATIKA Open
Mathematics and philosophy have a pretty close relationship, compared to other sciences. The reason, philosophy is the base for learning science and mathematics is the mother of all sciences. There are also those who think that philosophy …
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Mathematics, ethics and purism: an application of MacIntyre’s virtue theory Open
A traditional problem of ethics in mathematics is the denial of social responsibility. Pure mathematics is viewed as neutral and value free, and therefore free of ethical responsibility. Applications of mathematics are seen as employing a …
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Education for sustainable development in mathematics education: what could it look like? Open
Over the past two decades, there have been calls to integrate Education for Sustainable Development (ESD) across all subjects in the primary and secondary curricula. However, researchers have argued that sustainability and mathematics educ…
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Critical relationships between teachers and learners of school mathematics Open
This article draws on critical theories and perspectives on mathematics education to explain the tendency of mathematics teaching worldwide to remain focused on developing procedural understanding, despite repeated calls from the mathemati…
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Math is like a lion hunting a sleeping gazelle: preservice elementary teachers’ metaphors of mathematics Open
Preservice elementary teachers hold a variety of beliefs about mathematics and mathematics learning, which influence their teaching. Previous research has shown that preservice elementary teachers believe that mathematics is doing arithmet…
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Ways of Relating to the Mathematics of the Past Open
Historians of mathematics, by definition, look at mathematics of the past. But mathematicians, too, often look at mathematics of the past; mathematicians of the past themselves often looked very closely at mathematics of their own past. Is…
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Realistic Mathematics & Vygotsky’s Theories in Mathematics Education Open
Mathematics education is not mathematics, it makes a basic use of highly specialized kinds of mathematical knowledge. The modern world feels a crisis of proper mathematics education in any nation. Realistic Mathematics Education is a domai…
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Mathematics and Ethics Open
In the philosophy of mathematics, ontological and epistemological questions have been discussed for centuries. These two set of questions span out a two-dimensional philosophy of mathematics. I find it important to establish a four dimensi…
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Critical stance within a community of inquiry in an advanced mathematics course for pre-service teachers Open
This paper reports a study of university students’ experiences of learning mathematics in an introductory differential equations course that takes an inquiry approach to learning and teaching. The students are on a trajectory leading towar…
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The Journey of A Math: As a Mathematics Learning Innovation Open
In the era of the Industrial Revolution 4.0, science and technology played an important role in the future. Therefore, education is fundamental in the formation and development of human resources. Thus, they can contribute to the developme…
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Mathematics for What? High School Students Reflect on Mathematics as a Tool for Social Inquiry Open
This study examines high school students ’ views of mathematics as a tool for social inquiry in light of their classroom experiences using mathematics to explore social issues. A critical theoretical perspec-tive on mathematics literacy is…
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Aspects of attitudes towards mathematics in modeling activities: Usefulness, interest, and social roles of mathematics Open
This study addresses three aspects of the attitude towards mathematics: usefulness, interest, and recognition of the social roles of mathematics. Mathematical modeling activities were developed and conducted with engineering students. We a…
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Influence of mathematics in our daily lives Open
Life always demands the contemporary requirement for a good mathematical knowledge. Mathematics is the very important tool for our life and in every research perspective that supports all-round for the personal growth and development. Math…
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From Mathematics and Education, to Mathematics Education Open
This chapter takes a historical view of the development of mathematics education, from its initial status as a business mostly managed by mathematicians to the birth of mathematics education as a scientific field of research. Starting from…
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Theoretical and/or conceptual frameworks for integrating history in mathematics education Open
International audience
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Mathematics Learning: Misconceptions, Problems and Methods of Making Mathematics Learning Fun Open
This article is related to the fallacy regarding learning mathematics in the current situation of school-level education. The article aims to dig out the meaning of learning mathematics, misconceptions, problems, and the particular ways of…
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Ethical Reasoning in Mathematics: New Directions for Didactics in U.S. Mathematics Education Open
In this article we analyze the current state of the didactics of mathematics in the U.S. as it relates to research on equity. The sociopolitical turn in U.S. mathematics education resulted in a push for critical mathematics pedagogies (CMP…