Even when most of the students were able to change from the local to the global
view of data (Ben-Zvi & Arcavi, 2001) in taking into account the shape of graphs as
a whole, the idea of distribution as a property of a collective, and the variability of
data, there is still a third level of statistical reasoning many of these students did not
reach. This is the modeling viewpoint of data, where students need to deal at the
same time with an empirical distribution as a whole (therefore, they need to adopt a
global viewpoint of their data) and the mathematical model (the normal distribution
in our research). In this modeling perspective, students need to concentrate on the
different features of the data set as a whole and on the different features of the model
(type of variable, unimodality, skewness, percentage of central cases, horizontal
asymptote, etc., in our case). In addition to understanding the model as a complex
entity with different components, they should be able to distinguish the model from
the real data, to compare the real data to the model, and to make an accurate
judgment about how well the model fits the data.
Even when most of the students were able to change from the local to the global
view of data (Ben-Zvi & Arcavi, 2001) in taking into account the shape of graphs as
a whole, the idea of distribution as a property of a collective, and the variability of
data, there is still a third level of statistical reasoning many of these students did not
reach. This is the modeling viewpoint of data, where students need to deal at the
same time with an empirical distribution as a whole (therefore, they need to adopt a
global viewpoint of their data) and the mathematical model (the normal distribution
in our research). In this modeling perspective, students need to concentrate on the
different features of the data set as a whole and on the different features of the model
(type of variable, unimodality, skewness, percentage of central cases, horizontal
asymptote, etc., in our case). In addition to understanding the model as a complex
entity with different components, they should be able to distinguish the model from
the real data, to compare the real data to the model, and to make an accurate
judgment about how well the model fits the data.
การแปล กรุณารอสักครู่..

Even when most of the students were able to change from the local to the global
view of data (Ben-Zvi & Arcavi, 2001) in taking into account the shape of graphs as
a whole, the idea of distribution as a property of a collective, and the variability of
data, there is still a third level of statistical reasoning many of these students did not
reach. This is the modeling viewpoint of data, where students need to deal at the
same time with an empirical distribution as a whole (therefore, they need to adopt a
global viewpoint of their data) and the mathematical model (the normal distribution
in our research). In this modeling perspective, students need to concentrate on the
different features of the data set as a whole and on the different features of the model
(type of variable, unimodality, skewness, percentage of central cases, horizontal
asymptote, etc., in our case). In addition to understanding the model as a complex
entity with different components, they should be able to distinguish the model from
the real data, to compare the real data to the model, and to make an accurate
judgment about how well the model fits the data.
การแปล กรุณารอสักครู่..
