Table 1

A reproduction of Carlson et al.’s (2002) mental actions of covariational reasoning (p. 357)

Mental actionDescription of mental action
Mental Action 1
(MA1)
Coordinating the value of one variable with changes in the other variable.
Mental Action 2
(MA2)
Coordinating the direction of change of one variable with changes in the other variable.
Mental Action 3
(MA3)
Coordinating the amount of change of one variable with changes in the other variable.
Mental Action 4
(MA4)
Coordinating the average rate of change of a function with uniform increments of change in the input variable.
Mental Action 5
(MA5)
Coordinating the instantaneous rate of change of the function with continuous changes in the independent variable for the entire domain of the function.
Mental actionDescription of mental action
Mental Action 1
(MA1)
Coordinating the value of one variable with changes in the other variable.
Mental Action 2
(MA2)
Coordinating the direction of change of one variable with changes in the other variable.
Mental Action 3
(MA3)
Coordinating the amount of change of one variable with changes in the other variable.
Mental Action 4
(MA4)
Coordinating the average rate of change of a function with uniform increments of change in the input variable.
Mental Action 5
(MA5)
Coordinating the instantaneous rate of change of the function with continuous changes in the independent variable for the entire domain of the function.
Table 1

A reproduction of Carlson et al.’s (2002) mental actions of covariational reasoning (p. 357)

Mental actionDescription of mental action
Mental Action 1
(MA1)
Coordinating the value of one variable with changes in the other variable.
Mental Action 2
(MA2)
Coordinating the direction of change of one variable with changes in the other variable.
Mental Action 3
(MA3)
Coordinating the amount of change of one variable with changes in the other variable.
Mental Action 4
(MA4)
Coordinating the average rate of change of a function with uniform increments of change in the input variable.
Mental Action 5
(MA5)
Coordinating the instantaneous rate of change of the function with continuous changes in the independent variable for the entire domain of the function.
Mental actionDescription of mental action
Mental Action 1
(MA1)
Coordinating the value of one variable with changes in the other variable.
Mental Action 2
(MA2)
Coordinating the direction of change of one variable with changes in the other variable.
Mental Action 3
(MA3)
Coordinating the amount of change of one variable with changes in the other variable.
Mental Action 4
(MA4)
Coordinating the average rate of change of a function with uniform increments of change in the input variable.
Mental Action 5
(MA5)
Coordinating the instantaneous rate of change of the function with continuous changes in the independent variable for the entire domain of the function.
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