OUTCOMES-BASED EDUCATION COURSE SYLLABUS
GEC-1 Mathematics in the Modern World
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 expiration of patters (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 itself (and
of science} governed by log and reasoning.
The course then proceeds to surveys ways in which mathematics provides a tool for understanding and dealing 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 the students’ understanding and capacity. (CMO No. 74, series of 2017}
Course Code: GEC-1
Credit Units: 3
Prerequisites: None
Program Outcomes:
Link to Program Outcomes:
Course Outcomes:
1. Discuss and argue about the nature of mathematics, what it is, how it is expressed, represented and used.
2. Use of variety of statistical tools to process and manage numerical data.
3. Analyse codes and coding schemes used for identification, privacy and security purposes,
4. Use mathematics in other areas such as finance. Voting, health and medicine, business, environment, arts and design, and recreation.
5. Appreciate the nature and uses of mathematics in everyday life.
Course Requirements:
1. Answer all the online quizzes at the end of every chapter.
2. Participate in the course forums for every Chapter and/or lesson:
3. Submit the required assignments of the course;
4. Achieve a passing mark in the major examinations; and
5. Gain in-depth understanding of the concepts through research, course readings and course tasks.
Mathematics in the Modern World I 1
1. Quizzes
At the end of every chapter, Blended quiz will be administered asynchronously, Meaning, it will be administered in the same date and time as prescribed. Schedule for the Asynchronous quizzes is
reflected in the Schedule of Activities for your guidance. These examinations will test all of the learning concepts based on the forums, course materials and assigned readings.
2. Course Forums
There will be Course Forums all throughout the course. Thus, you are encouraged to participate in all the forums and give your reflection at the end of every topic discussed in Module/Courseware/Blended.
The Scoring Guide for Participation in Online Discussion is included as an attachment in the schedule of Activities. You are also encouraged to cite references as support to your responses in the discussion forums.
You can refer to the following site for the APA Format.
3. Output
There will be 10 outputs in this course which will be done individually. Detailed guide about outputs will be provided as presented in the schedule of activities. Therefore, each student should do these
tasks with dedication and sincerity
4. Semestral Grading period
A. Prelim – 1-6 Weeks
B. Midterm – 7-12 Weeks
C. Final – 13-18 Weeks
Examination will be administered. As mentioned this exam will be administered and given at the same time to all learners. This included the topic that was covered by week as presented below.
Questions will be coming from the course forum discussions, course reading and other course materials provided by the professor.
Course Grading System
Semestral Grading System:
Prelim Grade………………………………………………………….…….30%
Midterm Grade…………………………………………………………….30%
Final Grade……………………………….………………………………….40%
Course Grading System
Students Assessment:
Major Examination……………………………………………………….40%
Other Requirements…………………………………………………….60%
Step 1. — Raw scores will be converted to % using the formula:
Grade =
RS (50)
HPS
+50 = n (100%)
Step 2. The Final Term Grade (FTG) will be determined by adding all the equivalent percentage of the four course requirements
Mathematics in the Modern World I 2
Course Outline
WEEK
TOPICS
LEARNING OUTCOMES
ORIENTATION
1
2
Introduction to
the course
objectives,
contents,
activities and
course
requirements
Acquaint the students with
the content of the entire
course
DIGITAL LEARNING
Learning Activities
Assessment Tasks
Distribution of
courseware and
discussion on its
uses.
Utilize the courseware
to properly evaluate
Introduce yourself in
this course and get
the discussion forum.
adjustments and
Attend orientation
guidance.
for GEC 1.
Course orientation on
grading criteria and
periodic requirements
Active class
participation and
interaction rating
MODULAR
Learning Activities
Assessment Tasks
Self- preparation
Material Exploration
Introduce yourself in
the discussion forum.
Attend orientation
for GEC 1.
Positive mind setting
Self-preparation
Material exploration
Positive Mind
Setting
Introduce yourself
in the discussion
forum. attend
orientation for GEC
1.
BLENDED
Learning Activities
Assessment Tasks
Distribution of
Distribution of
courseware and
courseware and
discussion on its
discussion on its
uses.
uses.
1.
Self- preparation
2.
Material
Exploration
3.
Positive mind
setting
Distribution of
Courseware and
discussion on its
use.
1. Self-preparation
2. material
Exploration
3. Positive mind
setting
Getting to know
each other
Mathematics in the Modern World I 3
Introduce yourself
in the discussion
forum.
Attend orientation
for GEC 1.
Distribution of
courseware and
discussion on its
use.
Introduce yourself
in the discussion
forum.
Attend orientation
for GEC 1.
3-4
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
snowflakes
and the
Honeycomb;
tiger’s stripes
and hyena’s
spots; the
sunflower;
the snails
shell; flower
petals; the
world
population;
the weather,
etc.
 The
Fibonacci
Sequence

Identify patterns in
nature and regularities.
 Articulate the
importance of
mathematics in one’s
life.
 Argue about the nature
of mathematics what it
is, how it is expressed,
represented and used.
Expressed appreciation for
mathematics as a human
endeavor.

Read the course
syllabus, schedule
of activities,
course materials
and assigned
readings for week
1-2.
 Video watching
 Take onsite quiz
within the
permission of the
approving official
of the school.
Questions to pose:
 What is
Mathematics?
 Where is
mathematics?
 What role does
mathematics play
in your world?

Shortresponse/ essay
writing at the
end of one
class question.
 onsite quiz
course forum




Read the lessons
given in the
modules
Answer the
assessment task
Journal writing
Essay writing


Short response/
essay writing
Reflective
essay
 Pair sharing
Whole class
discussion
Questions to pose:
 What is
Mathematics?
 Where is
mathematics?
 What role does
mathematics
play in your
world?
Mathematics in the Modern World I 4



Oral recitation
Reflective
Essay Writing
Quiz



Mathematics
helps predict
the behavior
of nature and
phenomena
in the world.
Mathematics
helps control
nature and
occurrence in
the world for
our ends.
Mathematics
has numerous
applications
in the world
making it
indispensable
.
Section 1. The
Nature of
Mathematics
5-6
II. Mathematical
Language and
Symbols
Core Idea: Like
any language,
mathematics has
its own symbols,
syntax and rules.

Discuss the language,
symbols, and convention
of mathematics
 Explain the nature of
mathematics as a
language
 Perform operations on
mathematical
expressions correctly
Acknowledge that
mathematics is a useful
language.


Compilation of
Mathematical
symbols of
notations and their
meanings.
Take onsite
quizzes within the
permission of the
approving official
of the school.


Exercises
Quiz



Content lectures
Accomplish the
assignments
Finish the
assessment tasks


Writing
exercises sets
Quiz


Individual or
small group
exercises
including
games
Whole class
discussion of
the
comparisons
between the
English
language and
Mathematics in the Modern World I 5



Writing
Exercises
Quiz
Exercises






7-10
Mathematical
language.
Characteristic
s of
mathematical
language,
precise,
concise and
powerful
Expressions
vs. sentences
Conventions
in the
mathematical
language
Four basic
concepts:
Sets,
functions,
relations,
binary
operations
Elementary
logic,
connectives,
quantifiers,
negation,
variables
Formality
Section 1. The
Nature of
Mathematics

Use different types of
reasoning to justify
statements and
arguments made about



Study learning
guide
Online discussion
Reading and
Writing proofs

Quiz on
proving using
deductive or
inductive
reasoning


Attend the
reading of
modules for the
week
Content lectures


One take-home
problem set
Quiz on
proving using
deductive and


Onsite quiz
Small groupproblem
solving
Mathematics in the Modern World I 6



Oral recitation
Exercises
Quiz
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
mathematics and
mathematical concepts
Write clear and logical
proofs
Solve problems
involving patterns and
recreational problems
following the Polya’s
four steps
Organize one’s methods
and approaches for
proving and solving
problems



Game type
activities
Exercises
Computation
exercises
Accomplish the
assessment task
inductive
reasoning

Whole class
discussion of
key problems
and solutions
Mathematics in the Modern World I 7
11-14
Section 2.

Mathematics as
tool (Part 1)
I.
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,
Use a variety of
statistical tools to
process and manage
numerical data


Study learning
guide
Online discussion


Concept map
Quiz



Lectures
Accomplish the
assessment task
Manage
numerical data
by using
statistical tools


Exercises
Computation
activities



Lectures
Work with
appropriate
computer
statistic
software
Class
discussion
Mathematics in the Modern World I 8


Quiz
Problem set


15-16


Weighted
Mean
Measures of
Depression:
Range,
Standard
Deviation,
and Variance
Measures of 
Relative
Position: zscores,
Percentiles,
Quartiles, and
Box-and
Whiskers
plots
Probabilities
and Normal
distributions
Linear
Regression
and
Correlation:
Use the methods of
linear regression and
correlations to predict
the value of a variable
given certain conditions.
Advocate the use of
statistical data in making
important decisions



Study learning
guide
Online discussion
Work with
appropriate
computer
statistical software


Concept map
Quiz
1 project
proposal



Lectures
Accomplish the
assessment task
Manage
numerical data
by using
statistical tools


Exercises
Computation
activities
 Problem set
1 project proposal


Lectures
Work with
appropriate
computer
statistic
software
 Class
discussion
Pseudo-proposal
defense
Mathematics in the Modern World I 9
 Quiz
 Problem set
1 project proposal
Least- Square
Line, Linear
Correlation
Coefficient
17-18
Section
3. 
Mathematics as
a Tool (Part 2)
1.
Geometric
Designs

Core
Idea:
Geometry
can
help
enhance
one’s
artistic
prowess as well as
enrich one’s own
culture.
 Recognizing
and
Analyzing
geometric
shapes
 Transformati
on
 Patterns and
Diagrams
Designs, Arts,
and Culture
Apply geometric
concepts, especially
isometries in describing
and creating designs.
Contribute to the
enrichment of the
Filipino Culture and
Arts using concepts in
geometry.


Video watching
Take onsite quiz
within the
permission of the
approving official
of the school.
 Concept map
Lectures
 Peer evaluation
 Long test
An integrating
project (example;
Create a poster
aimed at promoting
mathematics as an
important tool in
everyday life.)



Lectures
Written
exercises
Essay writing
 Problem set
 Long test
An integrating
project (example;
Create a poster
with geometric
designs aimed at
promoting
mathematics as an
important tool in
everyday life.)

Small group/
class sharing of
various
indigenous
designs found
in one’s home
community
 Lectures
Written exercises
 Quizzes
 Long test
Class exhibit of
created and
collected
indigenous
designs.
FINAL EXAMINATION & COMPUTATION OF GRADES
Prescribed Textbooks and Materials:
Romeo M. Daligdig,EdD, (2019) mathematics in the modern world: Metro Manila Philippines
References
1. Aufman, R., Lockwood, J., Nation, R., Daniel K., & Clegg., D. (2014). Mathematical Excursion (3rd Edition). Boston, MA: Cengage.
Mathematics in the Modern World I 10
2. Burns, C. (2008). “The language of Mathematics. One Mathematical cat, please!” 1-10. Retrieved from http://www.onemathematicalcat.org/pdf files/LANG1.pdf
3. Jameson, R.E (2000). “Learning the language of mathematics. Language and Learning Across the Disciplines”, 4(1), 45-54. Retrieved from https://wac.colostate.edu/
4. Cope, I., & Cohen C. (2009). (2009). Introduction to logic (13th ed.) Jurong, Singapore: Pearson.
5. Sobecki, D., (2019). Math in our World (4th ed) New York, NY: McGraw-Hill.
Mathematics in the Modern World I 11