Page 263 - Igor Ž. Žagar in Ana Mlekuž, ur. Raziskovanje v vzgoji in izobraževanju: mednarodni vidiki vzgoje in izobraževanja. Ljubljana: Pedagoški inštitut, 2020. Digitalna knjižnica, Dissertationes 38
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https://w w w.doi.org/10.32320/978-961-270-324-0.263-268
Mathematical modelling in primary
schools-advanced topics at elementary level
Natalija Budinski
D Introduction
evelopment of modern technology and industry makes mathematical
modelling undeniably irreplaceable in many fields, such as environment
or scientific computation (Quarteroni, 2009). According to Meerscshaert
(2007), figurativelly speaking, mathematical modeling is joining math-
ematics and the rest of the world. Due to mathematical modelling vari-
ous aspects of connection to the real world, it could be described in the
language of science. Its importance is in being the third pillar of science
and engineering, beside theoretical analysis and experimentation. Mathe-
matical modelling starts with examination of basic information about the
problem, continues with construction of mathematical models, and finish-
es with the solutions of the problem in the real-world sphere. Also, it is par-
ticularly important that every model need to be verified.
It is evident that mathematical model is central part of mathematical
modelling. There are different definitions of models that could represent re-
al-world situation. One of the most general division is to four broad catego-
ries: deterministic, stochastic, empirical and mechanistic (Marion, 2008).
Deterministic models produce the same results for the fixed beginning val-
ues, while stochastic models produce various results which depend on the
actual values. Empirical models describe how things work by relating inde-
pendent and dependent variables, and empirical models are based on sta-
tistical regressions and data. There is also division of models depending on
263
Mathematical modelling in primary
schools-advanced topics at elementary level
Natalija Budinski
D Introduction
evelopment of modern technology and industry makes mathematical
modelling undeniably irreplaceable in many fields, such as environment
or scientific computation (Quarteroni, 2009). According to Meerscshaert
(2007), figurativelly speaking, mathematical modeling is joining math-
ematics and the rest of the world. Due to mathematical modelling vari-
ous aspects of connection to the real world, it could be described in the
language of science. Its importance is in being the third pillar of science
and engineering, beside theoretical analysis and experimentation. Mathe-
matical modelling starts with examination of basic information about the
problem, continues with construction of mathematical models, and finish-
es with the solutions of the problem in the real-world sphere. Also, it is par-
ticularly important that every model need to be verified.
It is evident that mathematical model is central part of mathematical
modelling. There are different definitions of models that could represent re-
al-world situation. One of the most general division is to four broad catego-
ries: deterministic, stochastic, empirical and mechanistic (Marion, 2008).
Deterministic models produce the same results for the fixed beginning val-
ues, while stochastic models produce various results which depend on the
actual values. Empirical models describe how things work by relating inde-
pendent and dependent variables, and empirical models are based on sta-
tistical regressions and data. There is also division of models depending on
263
