Mathematics in our World- Lesson 1

Mathematics in the Modern World

1. By:
Arlene M. Leron

3. Objectives:
Attheendofthelesson,youshouldbeableto
performthefollowingtasks:
1.Articulatetheimportanceofmathematicsinone’s
life.
2.Givethecharacteristicsandnatureofmathematics.
3.Expressappreciationformathematicsasahuman
endeavor.
4.Identifysomefamousmathematiciansofalltimes
andtheircontributioninthefieldofmathematics.

4. What is Mathematics?
-Mathêma“thatwhichislearnt”derivedfrom
“manthano”,andmodernGreek“mathaino”
whichmeans“tolearn”
-“Thescienceofstructure,order,andrelationsthat
hasevolvedfromelementalpracticesofcounting,
measuring,anddescribingtheshapesand
characteristicsofobjects”.(Encyclopedia
Britannica)

5. Characteristics
of
Mathematics
Classification
Logical
Sequence
Structure
Generalization
Applicability
Mathematical
language &
symbolism
Precision &
Accuracy
Abstractness

6. Classification
generatesaseriesof
mental relations
throughwhichobjects
aregroupedaccording
tosimilaritiesand
differencesdepending
onspecificcriteria
suchasshape,color,
size,etc.
Characteristics of Mathematics

7. LogicalSequence-
ideasinmathematics
needtoflowinanorder
thatmakessense.It
meansthateachstepcan
bederivedlogicallyfrom
theprecedingsteps.
Characteristics of Mathematics

8. Characteristics of Mathematics
Structure-thestructureonaparticular
mathematicalsetwillallowmathematiciansto
studythesetfurtherandfinditsrelationship
withotherobjects.

9. Characteristics of
Mathematics
Precision and
Accuracy–Accuracyis
howcloseameasured
valueistotheactual
(true)value.Itisthe
degreetowhichagiven
quantityiscorrectand
freefromerror.Precision,
ishow closethe
measuredvaluedvalues
aretoeachother.

10. Characteristics of Mathematics
Abstractness-istheprocessofextractingthe
underlyingessenceofamathematicalconceptby
takingawayanydependenceonreal-worldobjects.

11. Characteristics of
Mathematics
Symbolism – This
language isuniquely
constructedinsuchaway
thatallmathematicians
understand symbolic
notationsandmathematical
formulas.

12. Characteristics of
Mathematics
Applicability- The
applicability of
mathematicscanlie
anywhereonaspectrum
fromthecompletely
simple(trivial)tothe
utterly complex
(mysterious).

13. Characteristics of Mathematics
Generalizations–Theprocessoffindingand
singlingoutinawholeclassofsimilarobjects.

14. Nature of
Mathematics
A science of
measures
A tool subject
An intellectual
game
The art of
drawing
conclusions
An intuitive
method
A system of
logical
procedure

15. A science of
measures-itisan
activitythatinvolves
interactionwitha
concretesystemwith
the aim of
representingaspects
ofthatsystemin
abstracttermsof
“concrete” implies
“real”.
Nature of Mathematics

16. Intellectualgame-
mathematicsrequires
visualimagery.Games
andmathematicsboth
requireastrongdose
ofpatience,restraint,
andconcentration.
Nature of Mathematics

17. Theartofdrawing
conclusions-Beingable
toreasonisessentialto
understanding
mathematics.Reasoning
isawaytouse
mathematicalknowledge
andtogenerateand
solidify new
mathematicalideas.
Nature of Mathematics

18. Atoolsubject–
mathematicsundeniably
a highlypowerful
instrument of
investigation.
Mathematicsisapplied
inthefieldsof
engineering, life
sciences,industry,and
business.
Nature of Mathematics

19. Asystemoflogical
procedure–Problem
solvingisaskillwhich
canenhanceourlogical
reasoning.
Nature of Mathematics

20. Anintuitivemethod–
mathematics also
requirestheuseof
intuition,theabilityto
seewhatisreasonable
ornotandtheabilityto
puallthesetogether.
Nature of Mathematics

21. The Beauty
of
Mathematics

22. Mathematics
IN Nature

26. Mathematics
IN Medical
Field

28. Mathematics
IN Forensic

29. Mathematics
IN Fluid Dynamics

30. Mathematics
IN Information
technology

31. Mathematics
IN Archeology

32. Mathematics
IN Social
Sciences

33. Mathematics
IN Political
Sciences

34. Mathematics
IN Music and
ARTS

35. Some Famous Mathematicians of
Modern Time
Pythagoras

36. Some Famous Mathematicians of
Modern Time
Albert Einstein

37. Some Famous Mathematicians of
Modern Time
Rene Descartes

38. Some Famous Mathematicians of
Modern Time
Marie Curie

39. Some Famous Mathematicians of
Modern Time
Johannes Kepler

40. Some Famous Mathematicians of
Modern Time
Euclid

41. Some Famous Mathematicians of
Modern Time
Leonardo Pisano

42. “Thoselawsofnaturearewithinthegrasp
ofthehumanmind;Godwantedusto
recognizethembycreatingusafterhisown
imagesothatwecouldsharehisown
thoughts”
-Johannes Kepler