(Enter summary)
Abstract: v
Chapter 1 Introduction 1
1.1 Part I---Mental arithmetic : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 1
1.2 Part II---Multicolumn multiplication : : : : : : : : : : : : : : : : : : : : : : : : 2
1.3 Structure of arithmetic skills : : : : : : : : : : : : : : : : : : : : : : : : : : : : 3
1.4 Aims : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 3
Part I Mental arithmetic
Chapter 2 Memory for arithmetic facts 6
2.1 Phenomena : : : : : : : : : :... (Update)
Context of citations to this paper: More
.... number in such a way have focused upon simulating the retrieval of the arithmetic facts (Anderson, Spoehr, Bennett 1994; Dallaway 1994; McCloskey Cohen 1989; and McCloskey Lindemann 1992) The second simulation focuses on employing feedback, a process of sending the...
...of a different location on a topographic map, as shown in Table 1. 2 (McCloskey Cohen, 1989; McCloskey Lindemann, 1992; Dallaway, 1994; see Anderson, 1995b for a summary) In contrast, an approach to number representation in the form of a hybrid, consisting of a...
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BibTeX entry: (Update)
Dallaway, R. 1994. Dynamics of arithmetic: A connectionist view of arithmetic skills, Cognitive Science Research Papers 306, Brighton, UK: University of Sussex. http://citeseer.ist.psu.edu/dallaway94dynamics.html More
@misc{ dallaway94dynamics,
author = "R. Dallaway",
title = "Dynamics of arithmetic: A connectionist view of arithmetic skills",
text = "Dallaway, R. 1994. Dynamics of arithmetic: A connectionist view of arithmetic
skills, Cognitive Science Research Papers 306, Brighton, UK: University
of Sussex.",
year = "1994",
url = "citeseer.ist.psu.edu/dallaway94dynamics.html" }
Citations (may not include all citations):
1491
Learning internal representations by error propagation (context) - Rumelhart, Hinton et al. - 1986
1056
Introduction to the Theory of Neural Computation (context) - Hertz, Krogh et al. - 1991
644
Finding structure in time
- Elman - 1988
625
Parallel Distributed Processing: Explorations in the Microst.. (context) - Rumelhart, McClelland et al. - 1979
372
The cascade-correlation learning architecture
- Fahlman, Lebiere - 1990
242
Vision: A Computational Investigation into the Human Represe.. (context) - Marr - 1982
192
Recursive distributed representations
- Pollack
167
The Psychology of Everyday Things (context) - Norman - 1988
145
Machine Learning: An Artificial Intelligence Approach (context) - Michalski, Carbonell et al. - 1986
145
Learning and extracting finite state automata with second-or.. (context) - Giles, Miller et al. - 1992
145
Machine Learning: An Artificial Intelligence Approach (context) - Michalski, Carbonell et al. - 1983
132
An empirical study of learning speed in back-propagation net..
- Fahlman - 1988
128
Genetic Programming: On the Programming of Computers by Natu.. (context) - Koza - 1992
127
Attractor dynamics and parallelism in a connectionist sequen.. (context) - Jordan - 1986
121
Rules of the Mind (context) - Anderson - 1993
112
On learning the past tenses of English verbs (context) - Rumelhart, McClelland
101
Explorations in Parallel Distributed Processing: A Handbook .. (context) - McClelland, Rumelhart - 1988
73
Syntactic transformations of distributed representations
- Chalmers - 1990
70
Experimental analysis of the real-time recurrent learning al.. (context) - Williams, Zipser - 1989
49
Version spaces: a candidate elimination approach to rule lea.. (context) - Mitchell - 1977
48
Catastrophic interference in connectionist networks: the seq.. (context) - McCloskey, Cohen - 1989
46
Graded state machines: the representation of temporal contin.. (context) - Servan-Schreiber, Cleeremans et al. - 1991
42
Diagnostic models for procedural bugs in basic mathematical .. (context) - Brown, Burton - 1978
33
A distributed connectionist production system (context) - Touretzky, Hinton - 1988
29
Computation and Cognition: Towards a Foundation for Cognitiv.. (context) - Pylyshyn - 1984
27
Repair theory: a generative theory of bugs (context) - Brown, VanLehn - 1980
27
Encoding sequential structure in simple recurrent networks (context) - Servan-Schreiber, Cleeremans et al. - 1988
26
Connectionist models of recognition memory: constraints impo.. (context) - Ratcliff - 1990
26
Learning one subprocedure per lesson (context) - VanLehn - 1987
25
Center for Research in Language (context) - Elman
24
Diagnosing bugs in a simple procedural skill (context) - Burton - 1982
20
Structured representations and connectionist models (context) - Elman
20
Schemata and sequential thought processes in PDP models (context) - Rumelhart, Smolensky et al. - 1986
18
Incremental learning (context) - Elman - 1991
18
Cognitive wheels: the frame problem of AI (context) - Dennett - 1984
17
PDP models and general issues in cognitive science (context) - Rumelhart, McClelland
15
Connectionism and the study of change (context) - Bates, Elman - 1992
14
the time relations of mental processes: an examination of sy.. (context) - McClelland - 1979
12
A cascade-correlation model of balance scale phenomena
- Shultz, Schmidt - 1991
12
Connectionist language users (context) - Allen - 1990
12
Errors in children's subtraction (context) - Young, O'Shea - 1981
11
Catastrophic interference is eliminated in pretrained networ.. (context) - McRae, Hetherington - 1993
11
Rule acquisition events in the discovery of problem-solving .. (context) - VanLehn
11
Implications of recursive distributed representations (context) - Pollack
10
Why we need many knowledge representation formalisms (context) - Sloman - 1985
9
From rote learning to system building
- Plunkett, Marchman - 1990
9
Computer Models of Mind (context) - Boden - 1988
9
Assessing aspects of competence in basic algebra (context) - Sleeman - 1982
8
When is information explicitly represented (context) - Kirsh - 1990
8
Techniques in Computational Learning: An Introduction (context) - Thornton
8
Microcognition: Philosophy (context) - Clark - 1989
8
Associative Engines: Connectionism (context) - Clark - 1993
8
Learning simple arithmetic procedures (context) - Cottrell, Tsung - 1989
8
Mind Bugs: The Origins of Procedural Misconceptions (context) - VanLehn - 1990
7
Connectionism and developmental theory (context) - Plunkett, Sinha - 1991
7
Parallel distributed processing: implications for cognition .. (context) - McClelland - 1990
7
Representation of temporal patterns in recurrent networks
- Cummins - 1993
7
Forcing simple recurrent neural networks to encode context
- Maskara, Noetzel - 1992
6
Simulating stages of human cognitive development with connec..
- Shultz - 1991
6
Felicity conditions for human skill acquisition: validating .. (context) - VanLehn - 1983
5
MATHNET: Preliminary results from a distributed model of ari.. (context) - McCloskey, Lindermann - 1992
5
Towards a theory of impasse-driven learning (context) - VanLehn - 1988
4
A study of numerical perversity: teaching arithmetic to a ne.. (context) - Anderson, Spoehr et al. - 1991
4
Mental Computation (context) - Nadel, Copper et al. - 1985
4
Cognitive mechanisms in number processing and calculation: e.. (context) - McCloskey, Caramazza - 1985
4
Children's Minds (context) - Donaldson - 1978
4
Analysis tools for neural networks
- Dennis, Phillips - 1991
3
Cognitive arithmetic: comparison of operations (context) - Miller, Permutter et al. - 1984
3
A network approach to mental multiplication (context) - Stazyk, Ashcraft et al. - 1982
3
A chronometric analysis of simple addition (context) - Groen, Parkman - 1972
3
Algebra mal-rules and cognitive accounts of error (context) - Payne, Squibb - 1990
3
Bugs are not enough: empirical studies of bugs (context) - VanLehn - 1981
3
Connectionist state machines (context) - Allen - 1988
3
The development of mental arithmetic: a chronometric approac.. (context) - Ashcraft - 1982
3
Mental multiplication skill: structure (context) - Campbell, Graham - 1985
3
Acquisition of children's addition strategies: A model of im.. (context) - Jones, VanLehn - 1993
3
The organization of arithmetic facts in memory: evidence fro.. (context) - Dagenbach, McCloskey - 1992
3
Associative confusions in mental arithmetic (context) - Winkerlman, Schmidt - 1974
3
Models of arithmetic fact retrieval: an evaluation in light .. (context) - McCloskey, Harley et al. - 1991
2
Strategy choice procedures and the development of multiplica.. (context) - Siegler - 1988
2
Neural representation and neural computation (context) - Churchland, Sejnowski - 1989
2
Cognitive representations and processes in arithmetic: infer.. (context) - Sokol, McCloskey et al. - 1991
2
Information processing in dynamic systems: foundations of ha.. (context) - Smolensky - 1986
2
and procedures in normal calculation: evidence from multiple.. (context) - McCloskey, Aliminosa et al. - 1991
2
Strategy choices in addition and subtraction: how do childre.. (context) - Siegler, Shrager - 1984
2
The function of conceptual understanding in the learning of .. (context) - Ohlsson, Rees - 1991
2
Memory for Arithmetic Facts: A Perspective Gained from Two M.. (context) - Viscuso - 1989
2
Strategy choices in subtraction (context) - Siegler - 1987
2
Cognitive models of simple mental arithmetic: a critical rev.. (context) - Cornet, Seron et al. - 1988
2
The role of associative interference in learning and retriev.. (context) - Campbell - 1987
2
A connectionist model of the development of seriation
- Mareschal, Shultz - 1993
2
Stirring shakes: introduction to the special issue on hybrid.. (context) - Thornton - 1991
2
The Psychology of Mathematics for Instruction (context) - Resnick, Ford - 1982
1
Editorial: on the need for hybrid systems (context) - Hendler - 1989
1
Associative Memory in Mental Arithmetic (context) - Harley - 1991
1
Connectionist network models of cognitive arithmetic: explor.. (context) - publication, Computation - 1990
1
The recurrent cascade-correlation architecture (context) - CMU-CS-, School et al. - 1991
1
subsymbolic interface for variable instantiation (context) - Stark - 1992
1
Two pseudo-students: applications of machine learning to for.. (context) - Science, VanLehn
1
Representing simple arithmetic in neural networks (context) - thesis, Psychology et al. - 1989
1
Mental addition: a test of three verification models (context) - Ashcraft, Stazyk - 1981
1
Production systems as models of cognitive development (context) - Experimental, -- - 1974
1
A biological metaphor (context) - Clark - 1986
1
Connectionism and cognitive science (context) - Clark
1
The kludge in the machine (context) - Clark
1
A model of children's multiplication skills (context) - Ainsworth - 1991
1
A microcomputer based tutoring system for self-improving and.. (context) - Cognition, Attisha - 1983
1
Eye-movement models for arithmetic and reading performance (context) - Suppes - 1990
1
Diagnostic Studies in Arithmetic (context) - Buswell - 1926
1
An interactive activation model of arithmetic fact retrieval (context) - Rickard, Mozer et al. - 1992
1
looks so wrong: on the odd-even rule in product verification (context) - Krueger - 1986
1
Soar: an architecure for general intelligence (context) - Laird, Newell et al. - 1986
1
Language learning in children and neural networks: plasticit.. (context) - Marchman - 1992
1
Information-processing approaches (context) - Klahr - 1992
1
Why bugs are not enough (context) - Hennessy - 1990
1
Children's knowledge of simple arithmetic: a developmental m.. (context) - Review, Ashcraft - 1987
1
What might cognition be if not computation (context) - Science, van Gelder - 1992
1
Introduction to part II of the special issue on hybrid model.. (context) - Intelligence, of et al.
1
A symbolic goal-oriented perspective on connectionism and so.. (context) - Rosenbloom - 1989
1
and frequency of systematic error computational patterns in .. (context) - Cox - 1974
1
A computational model of acquisition for children's addition.. (context) - Ltd, UK et al. - 1991
1
An expert system for diagnosing children's multiplication er.. (context) - Attisha, Yazdani - 1984
1
Memory for multiplication facts (context) - Dallaway
1
The speed and slips of mental arithmetic (context) - Dallaway
1
A procedural theory of eye movements in doing arithmetic (context) - Suppes, Cohen et al. - 1983
1
Book review: Mind bugs (context) - Science, Pirolli - 1991
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