MATHEMATICS-IN-THE-MODERN-WORLD_SYLLABLES.docx

About math

1. `
DEPARTMENT OF INDUSTRIAL TECHNOLOGY
Bachelor of Industrial Technology
Syllabus in Mathematics in the Modern World
1
st
Semester, SY: 2024 - 2025
UEP’s Vision: A globally competitive university producing graduates in pursuit of
higher economic welfare of the people and the community through inclusion and
cooperation from the stakeholders.
UEP’s Mission: Provide technical and professional training, advanced instruction in
literature, arts, philosophy, the sciences and promotion of innovation, scientific and
technological researches.
UEP QUALITY POLICY
The University of Eastern Philippines (UEP) commits to be academically
competitive, research and extension-focused, and economically-sustainable public
higher education institution. Specifically, UEP shall:
Uphold the values of relevance, integrity, productivity and excellence in service
delivery;
Endeavor to continually improve the quality management system;
Provide quality services through participatory governance and compliance to legal
and other prescribed requirements.
#UEPCares
Institutional Graduate Outcomes: Graduates of the University of Eastern
Philippines should:
1.Exhibit proficiency in their chosen field of discipline through their involvement
in various types of employment;
2.Utilize research methodologies that will allow them to generate new knowledge
and address problems and issues and promote development;
3.Values Philippine historical and cultural heritage;
4.Demonstrate global awareness through responsible global citizenship;
5.Clearly communicate in several modes of delivery (oral, written, and visual) in
English and Filipino; and
6.Manifest high degree of professionalism through observation of ethical and
professional behavior.
Program Outcomes
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Republic of the Philippines
UNIVERSITY OF EASTERN PHILIPPINES
LAOANG CAMPUS
Laoang, Northern Samar
Web: http://uep.edu.ph; Email: [email protected]

2. College Goals:
1.To promote the mental and physical well-being of the learners through the
liberal disciplines.
2.To foster awareness of the ethical and social significance of as well as
responsibility in the use of interpersonal and the mass media.
3.To give the learners a strong sense of fulfillment and concern of their
community and country through:
a.The understanding and promote of harmonious relations with their
own selves, with others and the world
b.The acquisition of the ability to think logically and critically and
communicate effectively
c.The appreciation of their role as productive citizens, agent of the
change, guardians of cultural heritage and protectors of the
ecosystem
d.The acquisition of skills for problem solving, decision making and
planning and dynamics leadership
e.The development of a spirit of self-reliance, national consciousness
and sense of service of humanity
Produce globally competitive, innovative, God-fearing, morally
upright and productive industrial technologists/technicians and
professionals.
Transfer technologies and provide support and services to the
communication for sustainable development.
Develop research capabilities for industrial and technological
innovations.
Engage in the entrepreneurial activities and services that
contribute to the environmental prevention.
Course Title: Mathematics in the Modern World
Course Credits: 3 units Contact Hours/Week: 3 hrs. / Week
Course Description: This course deals with nature of mathematics, appreciation of its practical, intellectual, and aesthetic dimensions, and
application of mathematical tools in daily life.
The course begins with an introduction to the nature of mathematics as an exploration of patterns (in nature and the
environment) and as an application of inductive and deductive reasoning. By exploring these topics, students are encouraged
to go beyond the typical understanding of mathematics as merely a set of formulas but as a source of aesthetics in patterns of
nature, for example, and a rich language in itself (and of science) governed by logic and reasoning.
The course then proceeds to survey ways in which mathematics provides a tool for understanding and dealing with various
aspects of present-day living, such as managing personal finances, making social choices, appreciating geometric designs,
understanding codes used in data transmission and security, and dividing limited resources fairly. These aspects will provide
opportunities for actually doing mathematics in a broad range of exercises that bring out the various dimensions of mathematics
as a way of knowing, and test students’ understanding and capacity. (CMO No. 20, series of 2013)
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3. Prerequisite: None
Course Learning Outcomes At the end of this course, the students should be able to:
Knowledge:
1. Discuss and argue about the nature of mathematics, what it is, how it is expressed, represents
2. Use different types of reasoning to justify statements and arguments made about mathematics and mathematical
concepts
3. Discuss the language and symbols of mathematics.
Skills:
1.Use a variety of statistical tools to process and manage numerical data
2. Analyze codes and coding schemes used for identification, privacy, and security purposes
3. Use mathematics in other areas such as finance, voting, health and medicine, business, environment, arts and design,
and recreation
Values:
1.Appreciate the nature and uses of mathematics in everyday life
2. Affirm honesty and integrity in the application of mathematics to various human endeavors
Number of Hours: 3 hours every week for 18 weeks or 54 hours in a semester.
COURSE OUTLINE AND TIMEFRAME
Weeks COURSE CONTENT/SUBJECT MATTER
1 Course Orientation: Introduction
2 – 3 Mathematics in our World
4 – 6 Mathematical Language and Symbols
7 – 8 Problem Solving and Reasoning
9 MIDTERM EXAMINATION
10 – 12 Data Management (Statistics)
13 – 14 Logic
15 – 16 Codes
17 Geometric Designs
18 FINAL EXAMINATION
LEARNING PLAN
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4. Learning Outcomes Course Content/Topic
Teaching and Learning
Activities/Instructional
Delivery/Method
Assessment Tasks Resources
During the first week of
classes students are
expected to:
Be able to meet their
subject teacher and
classmates.
Orient the students
about the subject and
the VMGO.
Class Orientation Class Discussion
CMO
Students’ handbook
Recitation
1. Identify patterns in
nature and regularities in the
world (K)
2. Articulate the
importance of
mathematics in one’s life (V)
3. Argue about the
nature of mathematics, what
it is, how it is expressed,
represented, and used (K)
4. Express appreciation
for mathematics as a
human endeavor
(V)
MODULE 1
Section 1. THE NATURE
OF MATHEMATICS
I. Mathematics in our
World
Core Idea. mathematics is a
useful way to think about
nature and our world.
•Patterns and Numbers
• In nature and the
World: the snowflake
and honeycomb; tiger’s
stripes and hyena’s
spots, sunflower: the
snail’s shell, world’s
population, the weather,
etc.
Activities to do.
Lecture and discussion
Cooperative learning
Individual Exercises
Supplementary module
or handout and power
point presentation.
•short- response/essay
writing
Questions to Pose.
(i) What is mathematics?
(ii) Where is mathematics?
(iii) What role does
mathematics play in your
world?
Standards/Basis for Grading
to Use.
0 point - The student is
unable to elicit the ideas that
the needed in the question.
1 point - The student
misunderstands to address
the question properly.
2 points - The student show
a basic understanding of the
question but misses some
Required:
Nature’s Numbers by Ian
Stewart or Mathematics in
Nature: Modeling Patterns in
the Natural World by John A.
Adam
Nature Walk by John A.
Adam, or any book of the
same level, intent and
approach

https://m.youtube.co
m/watch?v=kkGeOW YOFoA
Recommended:
(1)A Day’s Adventure in
Math Wonderland by
Akiyama & Ruiz; (2) The
Number Devil by
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5. •The Fibonacci
Sequence
• Mathematics helps
organize patterns and
regularities in the world.
•Mathematics helps
predict the behavior of
nature and phenomena in
the world.
•Mathematics helps
control nature and
occurrences in the world
for our own ends.
•Mathematics has
numerous
applications in the world
making it indispensable.
key aspects.
3 points - The student elicit
clear ideas and addressed
most aspect effectively.
4 points - The student elicits
deep and nuanced
understanding of the
question.
•Two- to three-page
synthesis paper focusing
on one of the following
aspects of mathematics:
(a) Mathematics helps
organize patterns and
regularities in the world,
(b) Mathematics helps
predict the behavior of
nature and phenomena
in the world,
(c) Mathematics helps
control nature and
occurrences in the world
for our own ends.
Standards/Basis for Grading
to Use.
0 point - The student is
unable to elicit the ideas and
concepts from the readings
and video indicating that s/he
has not read the prescribed
reading or watched the
Enzensberger
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6. video.
1 point - student is able to
elicit the ideas and concepts
from the readings and video
but shows erroneous
Understanding of these.
2 points - The student is
able to elicit the ideas and
concepts from the readings
and video and shows correct
understanding of these.
3 points - The student not
only elicits the correct ideas
from the readings and video
but also shows evidence of
internalizing these.
4 points - The student elicits
the correct ideas from the
readings and video, shows
evidence of internalizing
these, and consistently
contributes additional
thoughts to the Core Idea.
5. Discuss the
language, symbols, and
conventions of
mathematics (K) 6.
Explain the
nature of mathematics as a
language (K)
7. Perform
MODULE 2
SECTION 1. THE
NATURE OF
MATHEMATICS

Activities to do
Independent study
Problem set
Lectures and discussion
Individual Exercises
Supplementary module
or handout and power
point presentation.
Evaluation
Requirements.
(i)Writing exercise sets
(ii) Quiz
Standards/Basis for
Grading to Use. Use

Jamison, R. E. (2000).
Learning the language of
mathematics. Language and
Learning across the
Disciplines, 4(1), 45 - 54.
(attached)
The Language of
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7. operations on mathematical
expressions correctly (S)
8. Acknowlwdg
e that mathematics is a
useful
language (V)
II. Mathematical
Language and
Symbols
Core Idea. Like any
language, mathematics has
its own symbols, syntax and
rules.
•Characteristics of
mathematical language:
precise, concise,
powerful
•Expressions vs.
sentences
•Conventions in the
mathematical language
•Four basic concepts:
sets, functions, relations,
binary operations
•Elementary logic:
connectives, quantifiers,
negation, variables
Formality


numerical scores.
mathematics (from One
Mathematical
Cat, please! By Carol Burns
Fisher The language and
Grammar of Mathematics
9.Use different types of
reasoning to justify
statements and
arguments made about
mathematics and
MODULE 3
SECTION 1. THE
Activities to do.
Lecture and discussion
Cooperative learning
Individual Exercises
Evaluation
Requirements.
(i)take-home problem
set
Required:
Mathematical Excursions
(Ch. 1) by R. Aufmann et al.;
What is Mathematics
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8. mathematical concepts
(K)
10.Write clear and logical
proofs
(K)
11.Solve problems involving
patterns and recreational
problems following
Polya’s four steps (S)
12.Organize one’s methods
and approaches for
proving and solving
problems (V)







NATURE OF
MATHEMATICS
III. Problem Solving and
Reasoning
Core Idea. Mathematics is
not just about numbers;
much of it is problem solving
and reasoning.
Inductive and Deductive
Reasoning
•Intuition, proof, and
certainty
•Polya’s 4 – steps in
Problem Solving
•Problem Solving
Strategies
•Mathematical problems
involving patterns
•Recreational Problems
using mathematics

Supplementary module
or handout and power
point presentation.


(ii)quiz on proving using
deductive or inductive
reasoning
Standards/Basis for Grading
to use.
0 point – the student did not
make any attempt to solve
any of the problems in the
problem set or prove any of
the statements in the quiz.
1 point – the student
attempted to solve 50% of
the problems in the problem
set or displayed logical
reasoning 50% of the time
attempting to prove the
statement/s in the quiz.
2 points – the student
attempted to solve all the
problems in the problem set
or displayed 75 of the time in
attempting to prove the
statement/s in the quiz.
3 points – the student is able
to completely solve 50% of
the problems in the problem
set or completed 75% of the
proof/s in the quiz.
4 points – the student is able
to completely solve 75% of
the problems in the problem
set or completed all the
proof/s in the quiz.
5 points – the student
completed (with correct
answers) all the problems in
the problem set or completed
Really?
(Ch. 4 & 5) by R. Hersh;
Recommended:
Mathematical Excursions
(Ch. 2) by R. Aufmann et al.;
Mathematics, A Practical
Odyssey (Ch.1) by Johnson
& Mowry;
The Number Devil by
Enzensberger, Professor
Stewart's
Cabinet of Mathematical
Curiosities by Ian Stewart;
Problem Solving Through
Recreational mathematics by
Averbach and Chein.
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9. all the proof/s in the quiz
13.Use a variety
of statistical tools to process
and manage numerical data
(S)
14.Use the
methods of linear regression
and correlations to predict
the value of a variable given
certain conditions
(S)
15.Advocate the
use of statistical data in
making important decisions
(V)









MODULE 4
SECTION 2.
MATHEMATICS AS A
TOOL (PART 1)
Data Management
Core Idea. Statistical tools
derived from mathematics
are useful in processing and
managing numerical data in
order to describe a
phenomenon and predict
values.
•Data Gathering and
Organizing Data;
Representing data
using graphs and
charts; Interpreting
Organized data
Measures of
Central
Tendency: Mean, Median,
Mode and Weighted Mean
Measures of Dispersion:
Range, Standard
Deviation and
Variance
Measures of Relative
Position:
Z – scores,
Percentiles,
Quartiles and Box
Activities to do.
Independent study
Lecture and discussion
Cooperative learning
Individual Exercises
Supplementary module
or handout and power
point presentation.
Evaluation
requirements.
(i)quiz
(ii)test
(iii)problem set
(iv)1 project proposal for
a quantitative study to be
orally proposed (if
applicable)













Required:
Mathematical excursions, 3
rd
Edition (International Edition)
by Aufmann et al. (Ch. 13)
Recommended:
Mathematics, A Practical
Odyssey by Johnson &
Mowry (Ch.4)
Math in Our World by
Sobecki, Bluman, & Schirck-
Matthews









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10. – and – whiskers plot
Probabilities and
Normal
Distributions
Linear regressions and
Correlation



MIDTERM EXAMINATION
16.Use mathematical
concepts and tools in other
areas suc as in logic.(S)
Support the use of
mathematics in various
aspects and endeavors in
life (V)
MODULE 5
SECTION 2.
MATHEMATICS AS A
TOOL (PART 2)
Logic
 Logic statements
and quantifiers.
•Truth Tables and
tautologies.
•Conditional,
Biconditional and
Related statements.
•Symbolic arguments.
•Arguments and
Euler Diagram.
Independent study
Problem set Lectures

Problem Set
Recitation
Learning Assessment
Tasks
Module
Books
Internet
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11. 18.Use coding schemes
to encode and decode
different types of
information for
identification, privacy, and
security purposes.
(S)
19.Exemplify honesty
and integrity when using
codes for security
purposes.
(V)
MODULE 6
SECTION 2.
MATHEMATICS AS A
TOOL (PART 2)
Codes
Core Ideas. The utility of
mathematics goes beyond
the mundane. Mathematics
enables the development of
codes and ciphers that are
useful to individuals and to
society.
•Binary Code
•Integers in
Computers
•Logic and Computer
addition
•Text Data
•Errors and error
correction
•Error detecting
Independent study
Problem set
Lectures through google
classroom, messenger
group chat (if applicable)
Problem Set
Recitation
Online Problem Set via
google forms (if
applicable)
Learning Assessment
Tasks
(i)For All Practical
Purposes,
Introduction to Contemporary
mathematics (2nd Ed.) by
COMAP, Inc.

(ii)A Student’s Guide to
Coding and Information
Theory by
Moser and Chen

http://www.exploratiu
m.edu/ronh/secret/se
cret.html





20. Apply geometric
concepts especially
isometries in geometry.
(V)
21. Describing and
MODULE 7
Geometric Designs

Independent study
Problem set
Lectures and discusion
Problem Set
Recitation
Learning Assessment
Tasks
Module
Books
Internet
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12. creating designs (S).
22. Contribute to the
enrichment of the
Filipino culture and arts
using concepts in
Designs, Arts, &
Culture.
Core Idea. Geometry can
help enhance one’s artistic
prowess as well as enrich
one’s own culture.
•Recognizing and
analyzing geometric
shapes.
•Transformations
•Patterns and
Diagrams
Required Readings and Other Materials
Adam, John A. Mathematics in Nature: Modeling Patterns in the Natural World
Adam, John A. A Mathematical Nature Walk
Aufmann, R. et al. Mathematical Excursions (Chaps. 1, 3, 4, 5, 8, 11, and 13) 3
rd
Ed (International Edition).
COMAP Inc. For All Practical Purposes, Introduction to Contemporary Mathematics (2
nd
ed.)
Fisher, Carol Burns. The Language of Mathematics (from One Mathematical Cat, Please! by Carol Burns Fisher)
Fisher, Carol Burns. The Language and Grammar of Mathematics Hersh, R. What is Mathematics Really? (Chaps. 4 & 5)
Johnson and Mowry. Mathematics, A Practical Odyssey (Chap. 12)
Moser and Chen. A Student’s Guide to Coding and Information Theory
Stewart, Ian. Nature’s Numbers
Vistro-Yu, C. Geometry: Shapes, Patterns and Designs (A chapter for the new ed. of the Math 12 textbook for Ateneo de Manila University).
Suggested Readings

Website/Videos/Film Clips
https://vimeo.com/9953368
http://www.exploratorium.edu/ronh/secret/secret - html
https:// Wow math channel mmw
Class Materials
Whiteboard, power point
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13. RUBRICS
RUBRIC FOR PROBLEM SOLVING
Course Requirements:
1.Students need to pass all the
examinations given in the course.
2.Students should participate during class
discussion.
3.Quizzes and problem set that are
announced and unannounced are usually
given at the start or near the end of the
lecture period or topic.
4.Students must get a rating of 75% passing
percentage for his/her final grade.
Classroom Policies
Make sure you are officially enrolled in this class as shown in your enrollment form.
Come to class prepared with required deliverables for the day.
The subject expects the students to actively participate in the discussions, ask questions and
answer critical questions.
Students are prohibited to use cell phone during classes; otherwise these will be confiscated and
will be returned after 3 days;
Students may leave the classroom only upon permission granted by the teacher.
No gender labeling.
Cheating, dishonesty or plagiarism in papers and other works will entail zero (0) score for the said
requirement. Late requirements will be given a 75 rating or half of the total score.
Grading System:
Written Works 20%
Quizzes
Professor: GLEEN B. SUA Consultation Hours:
8:00 – 9:00 MWF
11:00 – 12:00 MWF
Email Address: [email protected]
Contact Number: 0915 7463312
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14. Assignments
Problem Sets
Midterm Examination 25%
Final Examination 25%
Performance Tasks 30%
Activities
Recitation/ Board work
Class Participation
Attendance ______
100%
1:00-2:00 MWF
4:00-5:00 F
PREPARED BY:
GLEEN B. SUA, LPT
FACULTY
CHECKED BY:
THADDEUS L. MUNCADA, MAEd
CHAIR, DEPARTMENT OF INDUSTRIAL
TECHNOLOGY
REVIEWED BY:
JOCELYN P. IGDON, EdD
ASSISTANT DIRECTOR
FOR ACADEMIC AFFAIRS
APPROVED BY:
DR. LUISITO P. MUNCADA, JD
CAMPUS DIRECTOR
Date: Date: Date: Date:
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