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Peer reviewed

Manche, Emanuel P.; Lakatos, Stephen – Journal of Geological Education, 1986

Provides an overview of obsidian hydration dating for the instructor by presenting: (1) principles of the method; (2) procedures; (3) applications; and (4) limitations. The theory of the method and one or more laboratory exercises can be easily introduced into the undergraduate geology curriculum. (JN)

Descriptors: College Science, Geology, Higher Education, Laboratory Procedures

Komatsu, Kotaro; Tsujiyama, Yosuke; Sakamaki, Aruta; Koike, Norio – For the Learning of Mathematics, 2014

It has become gradually accepted that proof and proving are essential at all grades of mathematical learning. Among the various aspects of proof and proving, this study addresses proofs and refutations described by Lakatos, in particular a part of increasing content by deductive guessing, to introduce an authentic process into mathematics…

Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Guessing (Tests)

Peer reviewed

Nicolayev, Jennie; Phillips, D. C. – Educational Theory, 1979

Ericson erred in his application of the Laudan model to the interpretation by Nicolayev and Phillips of Kohlberg's research program.

Descriptors: Behavioral Science Research, Cognitive Development, Educational Research, Moral Development

Chick, Helen – Mathematics Teaching, 2010

There is much to be learned and pondered by reading "Proofs and Refutations," by Imre Lakatos. It highlights the importance of mathematical definitions, and how definitions evolve to capture the essence of the object they are defining. It also provides an exhilarating encounter with the ups and downs of the mathematical reasoning process, where…

Descriptors: Definitions, Probability, Geometry, Mathematics Instruction

Beaugris, Louis M. – For the Learning of Mathematics, 2013

In his "Proofs and Refutations," Lakatos identifies the "Primitive Conjecture" as the first stage in the pattern of mathematical discovery. In this article, I am interested in ways of reaching the "Primitive Conjecture" stage in an undergraduate classroom. I adapted Realistic Mathematics Education methods in an…

Descriptors: Mathematics Instruction, Algebra, College Mathematics, Observation

Zazkis, Rina; Koichu, Boris – Educational Studies in Mathematics, 2015

We introduce "virtual duoethnography" as a novel research approach in mathematics education, in which researchers produce a text of a dialogic format in the voices of fictional characters, who present and contrast different perspectives on the nature of a particular mathematical phenomenon. We use fiction as a form of research linked to…

Descriptors: Research Methodology, Discourse Communities, Discourse Analysis, Virtual Classrooms

Peer reviewed

Nunokawa, Kazuhiko – Educational Studies in Mathematics, 1996

The relation between Lakatos' theory and issues in mathematics education, especially mathematical problem solving, is investigated by examining Lakatos' methodology of a scientific research program. (AIM)

Descriptors: Higher Education, Mathematics Teachers, Problem Solving, Research Methodology

Saenko, Natalya; Voronkova, Olga; Volk, Marina; Voroshilova, Olga – Journal of Social Studies Education Research, 2019

The article is devoted to the analysis of the modern state of ethics of science. The question is raised regarding the possibility and problems of the interference of ethics in scientific rationality. From a philosophical position, preliminary answers are given to the following questions: How is it possible to incorporate ethics into the scientific…

Descriptors: Social Responsibility, Scientists, Science and Society, Philosophy

Oh, Jun-Young; Lee, Hyonyong; Lee, Sung-Soon – Research in Science & Technological Education, 2017

Background: Kuhn's model of science has been widely influential, but in this paper, it is argued that it is more appropriate to consider constructivist learning within science education as a research program in the sense used by Lakatos. Purpose/Hypothesis: This study offers teaching strategies and their corresponding instructional sequences based…

Descriptors: Concept Formation, Concept Mapping, Elementary School Curriculum, Preservice Teacher Education

Wolfmeyer, Mark – Educational Studies: Journal of the American Educational Studies Association, 2017

This article synthesizes Paul Feyerabend's controversial contributions to 20th-century philosophy of science through the synthesis of his works and the secondary literature, with specific foci on current trends in educational foundations and the potentials and pitfalls for applying Feyerabendian logics to our work. First, I situate his strains of…

Descriptors: Philosophy, Epistemology, Scientific Principles, Foundations of Education

Peer reviewed

Atkins, Sandra L. – School Science and Mathematics, 1997

Presents an alternative pedagogy implicit in Imre Lakatos's "Proofs and Refutations: The Logic of Mathematical Discovery." Lakatos reveals that learning mathematics is a discourse-laden activity in which it is acceptable, if not preferable, to refute conjecture. Provides examples of using a Lakatosian approach in an elementary classroom.…

Descriptors: Abstract Reasoning, Classroom Communication, Classroom Environment, Grade 4

Tennant, Geoff – Mathematics Teaching, 2010

"Proofs and refutations: the logic of mathematical discovery" by Imre Lakatos was published posthumously in 1976. This is a fascinating, if somewhat hard to access, book which calls into question many of the assumptions that people make about proof--one may start reading with a clear sense of what mathematical proof is, but almost certainly will…

Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Drama

English, Fenwick W.; Ehrich, Lisa Catherine – International Journal of Educational Management, 2015

Purpose: The purpose of this paper is to establish the case that innovation in the theory and practice of educational administration/leadership is very unlikely to occur within the existing "doxa" of our times. By innovation is meant a novel conceptual or practical change in the field of practice. By "doxa" is meant the…

Descriptors: Educational Administration, Educational Innovation, Theory Practice Relationship, Educational Practices

Chick, Helen – Australian Mathematics Teacher, 2010

There is much to be learned and pondered by reading "Proofs and Refutations" by Imre Lakatos (Lakatos, 1976). It highlights the importance of mathematical definitions, and how definitions evolve to capture the essence of the object they are defining. It also provides an exhilarating encounter with the ups and downs of the mathematical reasoning…

Descriptors: Definitions, Literary Devices, Probability, Mathematics Instruction

Larsen, Sean; Zandieh, Michelle – Educational Studies in Mathematics, 2008

In his 1976 book, "Proofs and Refutations," Lakatos presents a collection of case studies to illustrate methods of mathematical discovery in the history of mathematics. In this paper, we reframe these methods in ways that we have found make them more amenable for use as a framework for research on learning and teaching mathematics. We present an…

Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Logic, Validity