This document provides an overview of potential research topics that students could explore related to the Philippines. It includes examples of research questions and topics within various disciplines like humanities, technology, economics, arts, mathematics, languages, cultural studies, environmental studies, social sciences, and health sciences. The topics focus on issues relevant to Philippine communities, cultures, industries and the environment. The document aims to spark ideas for local research that could provide insights into improving life in the Philippines.

1. Project
SCHOLARS
REVIEW FOR MATHEMATICS

2. i maginary and complex
NUMBERS

3. imaginary Numbers
• The square of 5 is 25.
• The square of -5 is 25.
• It will always be the square root of 25 to get
a 5 and a -5—never a square root of -25.
• Negative numbers used to have no square-
root—until imaginary numbers were formed.

4. imaginary Numbers
i = −𝟏

5. imaginary Numbers
With i = −𝟏
• −𝟗 = 𝟑𝒊
• −𝟔𝟒 = 𝟖𝒊
• −𝟐𝟓 = 𝟓𝒊
• −𝟖𝟏 = 𝟗𝒊
= =3

6. imaginary Numbers
With i = −𝟏
• −𝟒𝟓 = 𝟗 ∗ 𝟓 ∗ −𝟏 = 𝟑𝒊 𝟓*
• −𝟑𝟐 = 𝟏𝟔 ∗ 𝟐 ∗ −𝟏 = 𝟒𝒊 𝟐∗
= =3

7. imaginary Numbers
Powers of i

8. The Introduction
Several key goals (cont):
• Position your own approach
• Detail specific research problem
and statement
• Give overview of the paper’s
structure

9. Introdution in 6 Steps
Step 1: Introduce your topic
Step 2: Describe the background
Step 3: Establish your research problem
Step 4: Specify your objective(s)
Step 5: Map out your paper

10. Step 1: Introduce Your Topic
Introduction tells the reader
● what your topic is, and
● why it’s interesting or
important.
● Accomplished with a
strong opening hook.

11. Step 1: Introduce Your Topic
The hook is
● a striking opening sentence
● clearly conveys the
relevance of your topic.
Examples:
● An interesting fact or
statistic
● Strong statement, question,
or brief anecdote

12. Step 1: Introduce Your Topic
Example:
Topic: Environmental impact of
cattle farming.
Argumentative paper hook:
Are cows responsible for climate
change?

13. Step 1: Introduce Your Topic
Example:
Topic: Environmental impact of
cattle farming.
Argumentative paper hook:
Are cows responsible for climate
change?

14. Step 1: Introduce Your Topic
Example:
Topic: Body Image Issue of adolescent
girls.
Empirical paper hook:
The rise of social media has been
accompanied by a sharp increase in
the prevalence of body image issues
among women and girls.

15. Step 1: Introduce Your Topic
Reminders:
• Hook needs not be deeply impressive
or creative.
• Clarity and relevance over catchiness.
• The key:
– Guide the reader into your topic,
and
– situate your ideas.

16. Step 2: Describe the Background
– Differs for argumentative and
empirical
– Argumentative: Background
information
– Empirical: Describing previous
research

17. Step 2: Describe the Background
Argumentative:
Background
information
● Global
● National
● Local

18. Step 2: Describe the Background
Argumentative:
Background
information
● Global
● National
● Local

19. Humanities
● History: Historical significance of local landmarks.
● Literature: Analysis of Filipino epics or
contemporary literature.
● Philosophy: Filipino perspectives on modern
ethical issues.

20. Technology and Engineering
● Renewable Energy: Potential of solar and wind
energy in specific regions.
● Robotics: Development of simple robots for
agricultural use.
● Digital Solutions: Apps or platforms addressing
local community needs.

21. Economics and Business
● Local Entrepreneurship: Success stories and
challenges.
● Tourism: Sustainable tourism models for local
attractions.
● Agriculture: Effective and sustainable farming
techniques.

22. Arts and Design
● Fine Arts: Filipino motifs in contemporary art.
● Music: Evolution of OPM (Original Pilipino Music).
● Theater: Modern adaptations of traditional Filipino
stories.

23. Mathematics
● Statistics: Analyzing data from community
surveys.
● Geometry: Application in traditional Filipino
designs.
● Mathematical Modeling: Potential applications in
local industries.

24. Language and Literature
● Filipino: Evolution of regional languages and
dialects.
● English: Influence of Western media on local
culture.
● Comparative Literature: Comparing Filipino
folklore with international tales.

25. Cultural Studies
● Festivals: Significance and evolution of local
celebrations.
● Religion: Role of Catholicism and other religions in
daily life.
● Migration: The OFW (Overseas Filipino Worker)
experience and its impact on families.

26. Environmental Studies
● Climate Change: Impact on coastal communities
in the Philippines.
● Conservation: Protecting the Philippine Eagle and
other endangered species.
● Urbanization: The rise of urban centers and their
environmental effects.

27. Legal and Ethical Studies
● Cybersecurity: The implications of the digital age
on privacy.
● Human Rights: Focus on vulnerable communities.
● Child Protection: Laws and their effectiveness in
protecting youth.

28. Natural Sciences
● Biodiversity:
a. "The Impact of Urban Development on the Number of Endemic Species in Region X."
b. "Exploring the Relationship between Local Conservation Efforts and Plant Diversity in Y
Forest."
c. "How Pollution Levels Influence Genetic Diversity within Endemic Species of Area Z."
d. "Assessing the Effects of Tourism on Ecosystem Stability Metrics in Philippine Marine
Sanctuaries."
e. "Deforestation and its Implications for Animal Population Sizes in the Luzon Region."
● Environmental Science:
a. "A Comparative Analysis of Water Quality in Rivers Adjacent to Factories versus Non-industrial
Zones."
b. "Correlating Soil Health Metrics with Agricultural Practices in Central Visayas."
c. "Air Quality Index Variations and Their Association with Urban and Rural Settings."
d. "Investigating the Impact of Aquatic Life Population on Local Fishing Communities."
e. "Assessing the Effects of Waste Management Practices on Plant Health and Diversity in Urban

29. Natural Sciences
● Biodiversity:
a. "The Impact of Urban Development on the Number of Endemic Species in Region X."
b. "Exploring the Relationship between Local Conservation Efforts and Plant Diversity in Y
Forest."
c. "How Pollution Levels Influence Genetic Diversity within Endemic Species of Area Z."
d. "Assessing the Effects of Tourism on Ecosystem Stability Metrics in Philippine Marine
Sanctuaries."
e. "Deforestation and its Implications for Animal Population Sizes in the Luzon Region."
● Environmental Science:
a. "A Comparative Analysis of Water Quality in Rivers Adjacent to Factories versus Non-industrial
Zones."
b. "Correlating Soil Health Metrics with Agricultural Practices in Central Visayas."
c. "Air Quality Index Variations and Their Association with Urban and Rural Settings."
d. "Investigating the Impact of Aquatic Life Population on Local Fishing Communities."
e. "Assessing the Effects of Waste Management Practices on Plant Health and Diversity in Urban

30. Social Sciences
● Sociology: Family dynamics in Filipino
households.
● Anthropology: Study of indigenous communities.
● Political Science: Youth participation in local
governance.

31. Health Sciences
● Nutrition: Traditional Filipino diets and their health
impacts.
● Mental Health: Stress levels among senior high
school students.
● Physical Health: Impact of modern lifestyles on
physical well-being.

32. Humanities
● History: Historical significance of local landmarks.
● Literature: Analysis of Filipino epics or
contemporary literature.
● Philosophy: Filipino perspectives on modern
ethical issues.

33. Technology and Engineering
● Renewable Energy: Potential of solar and wind
energy in specific regions.
● Robotics: Development of simple robots for
agricultural use.
● Digital Solutions: Apps or platforms addressing
local community needs.

34. Economics and Business
● Local Entrepreneurship: Success stories and
challenges.
● Tourism: Sustainable tourism models for local
attractions.
● Agriculture: Effective and sustainable farming
techniques.

35. Arts and Design
● Fine Arts: Filipino motifs in contemporary art.
● Music: Evolution of OPM (Original Pilipino Music).
● Theater: Modern adaptations of traditional Filipino
stories.

36. Mathematics
● Statistics: Analyzing data from community
surveys.
● Geometry: Application in traditional Filipino
designs.
● Mathematical Modeling: Potential applications in
local industries.

37. Language and Literature
● Filipino: Evolution of regional languages and
dialects.
● English: Influence of Western media on local
culture.
● Comparative Literature: Comparing Filipino
folklore with international tales.

38. Cultural Studies
● Festivals: Significance and evolution of local
celebrations.
● Religion: Role of Catholicism and other religions in
daily life.
● Migration: The OFW (Overseas Filipino Worker)
experience and its impact on families.

39. Environmental Studies
● Climate Change: Impact on coastal communities
in the Philippines.
● Conservation: Protecting the Philippine Eagle and
other endangered species.
● Urbanization: The rise of urban centers and their
environmental effects.

40. Legal and Ethical Studies
● Cybersecurity: The implications of the digital age
on privacy.
● Human Rights: Focus on vulnerable communities.
● Child Protection: Laws and their effectiveness in
protecting youth.