# The dynamics of cognition: An ACT-R model of cognitive arithmetic

@article{Lebiere1999TheDO, title={The dynamics of cognition: An ACT-R model of cognitive arithmetic}, author={Christian Lebiere}, journal={Kognitionswissenschaft}, year={1999}, volume={8}, pages={5-19} }

- Published 1999 in Kognitionswissenschaft
DOI:10.1007/BF03354932

Cognitive arithmetic studies the mental representation of numbers and arithmetic facts and the processes that create, access, and manipulate them. The contradiction between the apparent straightforwardness of its exact formal structure and the difficulties that every child faces in mastering it provides an important window into human cognition. An ACT-R model is proposed which accounts for the central results of the field through a single simulation of a lifetime of arithmetic learning. The use… CONTINUE READING

#### Citations

##### Publications citing this paper.

Showing 1-10 of 63 extracted citations

## The boundaries of instance-based learning theory for explaining decisions from experience.

View 5 Excerpts

Highly Influenced

## Learning to Prognostically Forage in a Neural Network Model of the Interactions between Neuromodulators and Prefrontal Cortex

View 2 Excerpts

Highly Influenced

## Long-term symbolic learning Action

View 3 Excerpts

Highly Influenced

## Running head : Long-Term Symbolic Learning Long-Term Symbolic Learning

View 3 Excerpts

Highly Influenced

## Instance vs . Rule Based Learning in Controlling a Dynamic System

View 4 Excerpts

Highly Influenced

## Spanning seven orders of magnitude: a challenge for cognitive modeling

View 5 Excerpts

Highly Influenced

## A hybrid model of categorization.

View 5 Excerpts

Highly Influenced

## A Rule-Based Computational Model of Cognitive Arithmetic

View 2 Excerpts

## Cognitive Models of Prediction as Decision Aids

View 1 Excerpt

#### References

##### Publications referenced by this paper.

Showing 1-10 of 30 references

## Strategy choice procedures and the development of multiplication skill.

View 16 Excerpts

Highly Influenced

## Children's knowledge of simple arithmetic: A developmental model

View 12 Excerpts

Highly Influenced

## Machine Learning

View 6 Excerpts

Highly Influenced

## A connectionist implementation of the ACT-R

View 4 Excerpts

Highly Influenced

## Toward an Instance Theory of Automatization

View 7 Excerpts

Highly Influenced

## The frequency of arithmetic facts in elementary texts: Addition and multiplication in grades

View 4 Excerpts

Highly Influenced

## Consciousness as a message aware control mechanism to modulate cognitive processing

View 1 Excerpt