The document discusses mathematics in early Philippine history. It provides 3 objectives: 1) impart knowledge about math in early Philippine history, 2) compare past and present mathematics, and 3) provide background on the report. It then discusses several examples of early Philippine math concepts like geometric patterns, time and measurement systems used in daily life. It provides more details on systems used for weights, measures, and counting numbers. Finally, it notes that while early Filipinos had their own math concepts, these were not further developed over time.

1. MATH IN THE MODERN WORLD
GROUP REPORTING

2. Good Day everyone! We are
here to report about the
topic: Math in Early
Philippine History relation
on the subject Math in the
Modern World

3. 1. To be able to impart
knowledge about Math
in Early Philippine
History.
2. To view the comparison
of Mathematics past to
present changes.
3. Give a brief background
on the reporting.
OBJECTIVES

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5. What comes into your mind
when you here “Math” or
“Math in Early Philippine
History”?

6. Key Points

7. Mathematical Ideas in Early
Philippine History
Existence of geometric
patterns time counting and
measurement systems.
It is used in their daily lives
Filipinos are not indios
Filipinos have their own
Mathematics Way

8. •The Nebulous Roots
•The Scale & The
Confessionals
•Cosmology of Plebe
•Counting and Last Number

9. ROOTS
Mathematical can
found in the earliest
moments of PH
Society.
Basic geometric ideas
in the set of rock and
cave (neolithic period)
3000 BC
Mathematical Thinking
(debt & interest of rice)
(LCI Laguna
Copperplate
Inscription)
~Saka Calendar System
~Precise Measurement
of Gold
Weight and Measures

10. THE ________ ________ ________ _________ _______
&
THE
______ ______ ________ _______ ______ _______ _____ ______ _____ _____ ___ ______ _______

11. Measurement of Weights Weight of Small Object

12. 1970’s in PH History
Dictated by Presidential Degree rice retailers Register wooden
measuring boxes
Unit Tinaja (16 Gantas) Bukohan subok salop or salapan
(1Ganta)
Standard volume for the GANTA SALOP (vinegar wines oils)
(MEASURING LIQUIDS)

13. Cosmology of Plebe
-Constellation
-Reckoning of Time
*Bwan (Waned , Waxed)
*Time of Day
*Tiyempo/Time
Taon consists of cosmological ,
agricultural and religious.

14. Counting and the Last Number
Cardinal number In the Old Tagalog are classified into two:
1. Simple – those that consists of one single meaningful
element
2. Complex – those made up of more than one meaningful
element
Example figure of simple to complex cardinal numbers:

15. Counting and the Last Number

16. Counting and the Last Number
- Four semantic elements are combined in each numbers in the ancient
Tagalog:
1. The prefix – “may”
2. The second prefix or infix – “ika”
3. The multiple of ten
4. The number in ones place
Later on, the numbers now merely uses the coordinating conjunction
“at” to imply the number from one’s to tens place, which has then been
influenced by the Spanish numerical system. Now called “dalawalngpu
at isa” or “dalawampu’t isa”. Which is now considered as the modern
Tagalog number.

17. Counting and the Last Number
- Four semantic elements are combined in each numbers in the ancient
Tagalog:
1. The prefix – “may”
2. The second prefix or infix – “ika”
3. The multiple of ten
4. The number in ones place
Later on, the numbers now merely uses the coordinating conjunction
“at” to imply the number from one’s to tens place, which has then been
influenced by the Spanish numerical system. Now called “dalawalngpu
at isa” or “dalawampu’t isa”. Which is now considered as the modern
Tagalog number.

18. Counting and the Last Number

19. Counting and the Last Number

20. Counting and the Last Number
COUNTING AND THE LAST NUMBER:
Isang Bahala Na
Malays did not subscribed to the notion
of mathematical infinity, but had called
“Limit Numbers”.

25. Topic:
Mathematics in the Early
Philippine History

26. LIQ1:
Can you cite other examples
of mathematical ideas in
early Philippine history that
is not present in the article?

27. LIQ2:
What do you think are the
possible reasons why these
mathematical ideas have not
been develop through time?

28. LIQ3:
Give one fact that proves
that there’s mathematics in
early eras in the Philippines

29. LIQ4:
What makes us Filipino not
being an indio in
Mathematics?

31. HIQ1:
What evidence can you cite to
support that these early Philippines
scaling and measurements are fair
and justifiably despite of lacking
about the technicalities of
mathematics?
31

32. HIQ2:
What do you think about those early
Filipino Mathematical ideas should
we develop these mathematics of
our own or we should have let it part
of our history? Why?
32

33. Filipinos were not indios since then
they have mathematical system in
their life. Is that just it was not given
emphasis by everyone of us.

35. for

36. Mathematics in the Modern World
Reporting: Math in the Early
Philippine History
Section: 6 Days:
Wednesday/Saturday
Report Day : 5/8/19
Members:
Castillo Lance Amiel
Dionisio Jacky
Escandor Lyra Mae
Espiritu Cristian
Fernandez Kim Ivan Kristian T.
Samonte Mark Gabriel R.
Sedante Rhawda A.

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