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1. Aira Maramba , LPT Instructor

2. Objectives: At the end of the lesson, you should be able to perform the following tasks: Articulate the importance of mathematics in one’s life. Give the characteristics and nature of mathematics. Express appreciation for mathematics as a human endeavor. Identify some famous mathematicians of all times and their contribution in the field of mathematics.

3. What is Mathematics? - Mathêma “that which is learnt” derived from “manthano” , and modern Greek “mathaino” which means “to learn” - “The science of structure, order, and relations that has evolved from elemental practices of counting, measuring, and describing the shapes and characteristics of objects .

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

5. Characteristics of Mathematics Classification generates a series of mental relations through which objects are grouped according to similarities and differences depending on specific criteria such as shape, color, size, etc.

6. Logical Sequence - ideas in mathematics need to flow in an order that makes sense. It means that each step can be derived logically from the preceding steps.

7. Structure- the structure on a particular mathematical set will allow mathematicians to study the set further and find its relationship with other objects.

8. Precision and A ccuracy – Accuracy is close a measured how value (true) is to value. the actual It is the degree to which a given quantity is correct and free from error. Precision, is how measured close valued the values are to each other.

9. Abstractness - is the process of extracting the underlying essence of a mathematical concept by taking away any dependence on real- world objects.

10. Symbolism – language is This uniquely constructed in such a way understand that all mathematicians symbolic notations and mathematical formulas.

11. Applicability - applicability mathematics The of can lie anywhere on a spectrum from simple utterly the completely (trivial) to the complex (mysterious).

12. Generalizations – The process of finding and singling out in a whole class of similar objects.

13. 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

14. A science of measures- it is an activity that involves concrete the system aim interaction with a with of representing aspects system terms in of implies of that abstract “concrete” “real”.

15. Intellectual mathematics game- requires visual imagery. Games and mathematics both require a strong dose of patience, restraint, and concentration. Nature of Mathematics

16. of drawing The art conclusions- Being able to reason is essential to understanding mathematics. Reasoning is a way to use mathematical knowledge and to generate and new solidify mathematical ideas. Nature of Mathematics

17. A tool mathematics a highly instrument investigation. Mathematics subject – undeniably powerful of is applied in the engineering, fields of life and sciences, industry, business. Nature of Mathematics

18. A system of logical procedure – Problem solving is a skill which can enhance our logical reasoning. Nature of Mathematics

19. An intuitive method – mathematics requires intuition, also the use of the ability to see what is reasonable or not and the ability to pu all these together. Nature of Mathematics

20. The Beauty of Mathematics

21. MATHEMATICS IN NATURE

22. MATHEMATICS IN MEDICAL FIELD

23. MATHEMATICS IN FORENSIC

24. MATHEMATICS IN FLUID DYNAMICS

25. MATHEMATICS IN INFORMATION TECHNOLOGY

26. MATHEMATICS IN ARCHEOLOGY

27. MATHEMATICS IN SOCIAL SCIENCES

28. MATHEMATICS IN POLITICAL SCIENCES

29. MATHEMATICS IN MUSIC AND ARTS

30. Some Famous Mathematicians of Modern Time Pythagoras

31. Albert Einstein

32. Some Famous Mathematicians of Modern Time Rene Descartes

33. Marie Curie

34. Johannes Kepler

35. Euclid

36. Leonardo Pisano

37. “Those laws of nature are within the grasp of the human mind; God wanted us to recognize them by creating us after his own image so that we could share his own thoughts” - Johannes Kepler

38. THANK YOU

39. SHORT QUIZ

40. 1. What is Mathematics? 2-9. What are the 8 characteristics of Mathematics? 10-12. Give atleast 3 fields where we can use Mathematics. 13-15. Name atleast 3 famous mathematicians in modern times