Applying Lakatos' theory to the theory of mathematical problem solving
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[1] Herbert Breger. Tacit Knowledge in Mathematical Theory , 1992 .
[2] Kazuhiko Nunokawa,et al. Problem solving as modelling: a case of augmented‐quotient division problem , 1995 .
[3] Tatsuro Miwa. A Comparative Study on Classroom Practices of Mathematical Problem Solving Between Japan and the U.S. , 1991 .
[4] Peter Urbach,et al. The Bayesian Alternative to the Methodology of Scientific Research Programmes , 1989 .
[5] Imre Lakatos,et al. The methodology of scientific research programmes: Contents , 1978 .
[6] H. Putnam. What is mathematical truth , 1975 .
[7] P. Feyerabend,et al. Against Method: Outline of an Anarchistic Theory of Knowledge , 1976 .
[8] Philip Kitcher,et al. The nature of mathematical knowledge , 1985 .
[9] Larry Sowder,et al. Drawings for Story Problems: Practices in Japan and the United States. , 1994 .
[10] D. Bloor,et al. Knowledge and Social Imagery , 1977 .
[11] C. S. Fisher,et al. The death of a mathematical theory: a study in the sociology of knowledge , 1966 .
[12] Michael Hallett. Towards a Theory of Mathematical Research Programmes (II) , 1979, The British Journal for the Philosophy of Science.
[13] J. Confrey. A Review of the Research on Student Conceptions in Mathematics, Science, and Programming , 1990 .
[14] Daniel Chazan,et al. Quasi-empirical views of mathematics and mathematics teaching , 1990 .
[15] Zheng Yuxin,et al. From the Logic of Mathematical Discovery to the Methodology of Scientific Research Programmes* , 1990, The British Journal for the Philosophy of Science.
[16] I. Lakatos. PROOFS AND REFUTATIONS (I)*† , 1963, The British Journal for the Philosophy of Science.
[17] M. Crowe. Ten misconceptions about mathematics and its history , 1988 .
[18] Imre Lakatos,et al. On the Uses of Rigorous Proof. (Book Reviews: Proofs and Refutations. The Logic of Mathematical Discovery) , 1977 .
[19] Aris Koutougos,et al. Research Programmes and Paradigms as Dialogue Structures , 1989 .
[20] D. A. Anapolitanos,et al. Proofs and Refutations: A Reassessment , 1989 .
[21] Magdalene Lampert,et al. When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching , 1990 .
[22] Imre Lakatos,et al. Mathematics, science and epistemology: Indexes , 1978 .
[23] Murray S. Klamkin. USA Mathematical Olympiads 1972-1986 , 1988 .
[24] I. Lakatos,et al. Proofs and Refutations: Frontmatter , 1976 .
[25] P. Feyerabend. Against Method: Outline of an Anarchistic Theory of Knowledge , 1976 .
[26] Methodology in Non-Empirical Disciplines , 1979 .
[27] K. Nunokawa. Solver's structures of a problem situation and their global restructing , 1994 .
[28] M. Nickson. The Culture of the Mathematics Classroom: An Unknown Quantity? , 1994 .
[29] Gad Yair,et al. Tutorial relations — The dynamics of social contract and personal trust , 1989 .
[30] Jere Confrey,et al. Learning to Listen: A Student’s Understanding of Powers of Ten , 1991 .
[31] J. Worrall. Imre Lakatos (1922–1974): Philosopher of Mathematics and Philosopher of Science , 1976 .
[32] Kazuhiko Nunokawa,et al. Improving Diagrams Gradually: One Approach to Using Diagrams in Problem Solving. , 1994 .
[33] E. Corte,et al. Teaching word problems in the primary school: what research has to say to the teacher , 1989 .
[34] Leone Burton,et al. Whose Culture Includes Mathematics , 1994 .
[35] J. Smart. Methodology and Ontology , 1989 .
[36] K. Popper,et al. Conjectures and refutations;: The growth of scientific knowledge , 1972 .
[37] T. Wood. Rethinking Elementary School Mathematics: Insights and Issues , 1993 .
[38] R Zahler. Errors in mathematical proofs. , 1976, Science.
[39] J. Volmink. Mathematics by All , 1994 .
[40] R. Orton. Two Theories of "Theory" in Mathematics Education: Using Kuhn and Lakatos to Examine Four Foundational Issues. , 1988 .
[41] Imre Lakatos,et al. The Methodology of Scientific Research Programmes , 1978 .
[42] K. Popper,et al. Conjectures and refutations;: The growth of scientific knowledge , 1972 .
[43] T. Koetsier. Lakatos' Philosophy of Mathematics: A Historical Approach , 1991 .
[44] Kurt Reusser. Problem solving beyond the logic of things: contextual effects on understanding and solving word problems , 1988 .
[45] Nicolas Balacheff. Treatment of Refutations: Aspects of the Complexity of a Constructivist Approach to Mathematics Learning , 1991 .
[46] Jean Schmittau. Mathematics Education in the 1990s: Can It Afford to Ignore Its Historical and Philosophical Foundations?. , 1991 .