a b s t r a c tManyaspectsofmodernr

a b s t r a c t
Manyaspectsofmodernresearchandotherprofessionalactivitiesinthegeosciencesrequireadvanced
knowledgeaboutmathematicalphysicsmodelsandscientific computationmethodsandtools.In-depth
meaningful learningofsuchknowledgeskillsisadifficult cognitiveprocesswhichinvolvesdeveloping
strong backgroundknowledgeofphysics,mathematicsandscientific computationappropriately
contextualisedinthegeosciencesthemes.Inthispaperwedescribeaninteractiveengagementteaching
approach thatisbasedonModellus,afreelyavailablecomputersoftwaresystemallowing(1)mathe-
matical modellingrangingfromexplorativetoexpressivemodelling,(2)theintroductionofscientific
computation withoutrequiringthedevelopmentofaworkingknowledgeofprogrammingand(3)the
simultaneous manipulationandanalysisofseveraldifferentmodelrepresentations,namely,tables,
graphs andanimationswithinteractiveobjectshavingpropertiesdefined inavisibleandmodifiable
mathematical model.Asexamplesofapplication,withinsightsforthedevelopmentofotheractivitiesin
a widerangeofgeosciencescourses,wediscussasetofinteractivecomputationalmodellingactivitiesfor
introductorymeteorologywehaveimplementedinundergraduateuniversitycourses.

ผลลัพธ์ (ไทย) 1:

แบบ b s t r c tManyaspectsofmodernresearchandotherprofessionalactivitiesinthegeosciencesrequireadvancedknowledgeaboutmathematicalphysicsmodelsandscientific computationmethodsandtools เชิงลึกcognitiveprocesswhichinvolvesdeveloping learningofsuchknowledgeskillsisadifficult มีความหมายแรง backgroundknowledgeofphysics, mathematicsandscientific computationappropriatelycontextualisedinthegeosciencesthemes Inthispaperwedescribeaninteractiveengagementteachingวิธีการ thatisbasedonModellus, afreelyavailablecomputersoftwaresystemallowing (1) mathe-matical modellingrangingfromexplorativetoexpressivemodelling, theintroductionofscientific (2)คำนวณ withoutrequiringthedevelopmentofaworkingknowledgeofprogrammingand (3) การพร้อม manipulationandanalysisofseveraldifferentmodelrepresentations ได้แก่ ตารางกราฟ andanimationswithinteractiveobjectshavingpropertiesdefined inavisibleandmodifiableแบบจำลองทางคณิตศาสตร์ Asexamplesofapplication, withinsightsforthedevelopmentofotheractivitiesinwiderangeofgeosciencescourses, wediscussasetofinteractivecomputationalmodellingactivitiesforintroductorymeteorologywehaveimplementedinundergraduateuniversitycourses

ผลลัพธ์ (ไทย) 2:

computationmethodsandtools.In เชิงลึกlearningofsuchknowledgeskillsisadifficult ความหมาย cognitiveprocesswhichinvolvesdeveloping backgroundknowledgeofphysics แข็งแกร่ง mathematicsandscientific thatisbasedonModellus, afreelyavailablecomputersoftwaresystemallowing (1) mathe- ทางคณิตศาสตร์ modellingrangingfromexplorativetoexpressivemodelling (2) theintroductionofscientific คำนวณ withoutrequiringthedevelopmentofaworkingknowledgeofprogrammingand (3) manipulationandanalysisofseveraldifferentmodelrepresentations พร้อมกันคือตารางกราฟ andanimationswithinteractiveobjectshavingpropertiesdefined inavisibleandmodifiable model.Asexamplesofapplication คณิตศาสตร์ withinsightsforthedevelopmentofotheractivitiesin

ผลลัพธ์ (ไทย) 3:

B S T R A C T
manyaspectsofmodernresearchandotherprofessionalactivitiesinthegeosciencesrequireadvanced
knowledgeaboutmathematicalphysicsmodelsandscientific computationmethodsandtools ในความลึกที่มีความหมาย learningofsuchknowledgeskillsisadifficult cognitiveprocesswhichinvolvesdeveloping


mathematicsandscientific computationappropriately backgroundknowledgeofphysics แข็งแรงcontextualisedinthegeosciencesthemes . inthispaperwedescribeaninteractiveengagementteaching
วิธีการ thatisbasedonmodellus afreelyavailablecomputersoftwaresystemallowing , ( 1 ) คณิตศาสตร์ -
matical modellingrangingfromexplorativetoexpressivemodelling ( 2 ) theintroductionofscientific

withoutrequiringthedevelopmentofaworkingknowledgeofprogrammingand ( 3 ) การคำนวณmanipulationandanalysisofseveraldifferentmodelrepresentations พร้อมกัน ได้แก่ ตาราง กราฟ andanimationswithinteractiveobjectshavingpropertiesdefined แบบจำลองทางคณิตศาสตร์ inavisibleandmodifiable

asexamplesofapplication withinsightsforthedevelopmentofotheractivitiesin , เป็น widerangeofgeosciencescourses wediscussasetofinteractivecomputationalmodellingactivitiesfor

,introductorymeteorologywehaveimplementedinundergraduateuniversitycourses .