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Mathematical arguments in context
"... Abstract. Except in very poor mathematical contexts, mathematical arguments do not stand in isolation of other mathematical arguments. Rather, they form trains of formal and informal arguments, adding up to interconnected theorems, theories and eventually entire fields. This paper critically comment ..."
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Abstract. Except in very poor mathematical contexts, mathematical arguments do not stand in isolation of other mathematical arguments. Rather, they form trains of formal and informal arguments, adding up to interconnected theorems, theories and eventually entire fields. This paper critically
Modelling mathematical argumentation: The importance of qualification
 Educational Studies in Mathematics
, 2007
"... Abstract. In recent years several mathematics education researchers have attempted to analyse students ’ arguments using a restricted form of Toulmin’s (1958) argumentation scheme. In this paper we report data from taskbased interviews conducted with highly talented postgraduate mathematics stude ..."
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Cited by 18 (4 self)
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Abstract. In recent years several mathematics education researchers have attempted to analyse students ’ arguments using a restricted form of Toulmin’s (1958) argumentation scheme. In this paper we report data from taskbased interviews conducted with highly talented postgraduate mathematics
The Role of Diagrams in Mathematical Arguments
"... Abstract. Recent accounts of the role of diagrams in mathematical reasoning take a Platonic line, according to which the proof depends on the similarity between the perceived shape of the diagram and the shape of the abstract object. This approach is unable to explain proofs which share the same dia ..."
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Abstract. Recent accounts of the role of diagrams in mathematical reasoning take a Platonic line, according to which the proof depends on the similarity between the perceived shape of the diagram and the shape of the abstract object. This approach is unable to explain proofs which share the same
Authority and Mathematical Argumentation 1 Running head: AUTHORITY AND MATHEMATICAL ARGUMENTS The Effect of Authority on the Persuasiveness of Mathematical Arguments
"... Three experiments are reported which investigate the extent to which an authority figure influences the level of persuasion undergraduate students and researchactive mathematicians invest in mathematical arguments. We demonstrate that, in some situations, both students and researchers rate argument ..."
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Three experiments are reported which investigate the extent to which an authority figure influences the level of persuasion undergraduate students and researchactive mathematicians invest in mathematical arguments. We demonstrate that, in some situations, both students and researchers rate
Towards a theory of mathematical argument
"... Abstract. In this paper, I assume, perhaps controversially, that translation into a language of formal logic is not the method by which mathematicians assess mathematical reasoning. Instead, I argue that the actual practice of analyzing, evaluating and critiquing mathematical reasoning resembles, an ..."
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Cited by 3 (0 self)
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, and perhaps equates with, the practice of informal logic or argumentation theory. It doesn’t matter whether the reasoning is a fullfledged mathematical proof or merely some nondeductive mathematical justification: in either case, the methodology of assessment overlaps to a large extent with argument
PME28 – 2004 1–327 TEACHERS CREATE MATHEMATICAL ARGUMENTATION
"... The purpose of the present study is threefold: (a) to compare the kinds of mathematical argumentation that different teachers create in mathematics classrooms; (b) to explore how teachers ' mathematical argumentation develops over the school year; and (c) to examine the way teachers change thei ..."
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The purpose of the present study is threefold: (a) to compare the kinds of mathematical argumentation that different teachers create in mathematics classrooms; (b) to explore how teachers ' mathematical argumentation develops over the school year; and (c) to examine the way teachers change
A Perspective on Psychology and Economics
, 2001
"... This essay provides a perspective on the trend towards integrating psychology into economics. Some topics are discussed, and arguments are provided for why movement towards greater psychological realism in economics will improve mainstream economics. ..."
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Cited by 756 (10 self)
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This essay provides a perspective on the trend towards integrating psychology into economics. Some topics are discussed, and arguments are provided for why movement towards greater psychological realism in economics will improve mainstream economics.
A theory of communicating sequential processes
, 1984
"... A mathematical model for communicating sequential processes is given, and a number of its interesting and useful properties are stated and proved. The possibilities of nondetermimsm are fully taken into account. ..."
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Cited by 4135 (17 self)
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A mathematical model for communicating sequential processes is given, and a number of its interesting and useful properties are stated and proved. The possibilities of nondetermimsm are fully taken into account.
Results 1  10
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