Zamboanga State College of

Marine Sciences and Technology (ZSCMST)

College of Education and Natural Sciences

(CENS)

CURRICULUM

Bachelor of Secondary
Education Major in
Mathematics

Bachelor of Secondary Education Major in Mathematics 1

 ZAMBOANGA STATE COLLEGE OF MARINE SCIENCES AND TECHNOLOGY

VISION

A learning institution that transforms individuals into globally competitive human capital
in fisheries, maritime and information technology, pedagogy and industries for the
rational management of aquatic resources.

MISSION

Generate and manage knowledge in the institution’s academic disciplines, produce

ecologically-conscious professionals, provide leadership in the sustainable development
of aquatic ecosystems, and contribute to the improvement of the quality of life of the
people.

COLLEGE OF EDUCATION AND NATURAL SCIENCES (CENS)

GOALS

Provide the highest quality of Teacher and Natural Sciences Education in the region.
Develop a breed of competent educators, researchers, and environmentalists with high
standards of work ethics and committed to the sustainable development of the region’s
quality of life, protection and preservation of natural ecosystem.

OBJECTIVES

1. Offer undergraduate courses in Teacher Education, Marine Biology and Environmental

Science relevant to the needs of Western Mindanao.
2. Implement training and development programs consistent with the institutional
mission.
3. Train and develop professionals with specialized skills in the field of Education, Marine
Biology and Environmental Science.
4. Promote environmental protection and rehabilitation of natural ecosystem by
developing and implementing an effective resources management program.
5. Design and conduct research and extension activities.

PROGRAM OBJECTIVES:

Bachelor of Secondary Education Major in Mathematics

The graduates have the ability to:

1. articulate and discuss the latest developments in the specific field of practices;
2. effectively communicate orally and in writing using both English and Filipino;
3. work effectively and independently in multi-disciplinary and multi-cultural teams;
4. act in recognition of professional social and ethical responsibility;
5. preserve and promote “Filipino historical and cultural heritage”;
6. demonstrate in-depth understanding of the development of adolescent learners;
7. exhibit comprehensive knowledge of various learning areas in the secondary
Bachelor of Secondary Education Major in Mathematics 2
 curriculum;
8. create and utilize materials appropriate to the secondary level to enhance teaching
and learning;
9. design and implement assessment tools and procedures to measure secondary
learning outcomes; and
10. design and conduct research and extension activities.
PROGRAM SPECIFICATION

A. Degree Name
The program shall be called Bachelor of Secondary Education Major in
Mathematics.

B. Nature of the Field of Study

The BSED Major in Mathematics is an undergraduate teacher education
program designed to equip learners with adequate and relevant competencies to teach
in their chosen area of specialization/ major in the secondary level

C. Degree/Program Goals
The BSEd degree program aims to develop highly motivated and competent
teachers specializing in the content and pedagogy for secondary education.

D. Specific Professions/Careers/Occupations for Graduates

After completion of the program and after passing the licensure examination for
teachers (LET), graduates of BSEd should be able to practice the teaching profession in
the Secondary Level.

E. Allied Fields
The BSEd degree program draws from various allied disciplines like social sciences,
science, math, technology, languages, and humanities, to ensure that the graduates
have a multi-disciplinary preparation in content and pedagogy

PROGRAM OUTCOMES

A. Common to ALL PROGRAMS in all types of schools

The graduates have the ability to:
a. articulate and discuss the latest developments in the specific field of practice
(PQF level 6 descriptor);
b. effectively communicate in English and Filipino, both orally and in writing;
c. work effectively and collaboratively with a substantial degree of independence in
multi-disciplinary and multi-cultural teams (PQF level 6 descriptor);
d. act in recognition of professional, social, and ethical responsibility; and
e. preserve and promote “Filipino historical and cultural heritage” (based on RA
7722)

B. Common to the discipline (Teacher Education)

The graduates have the ability to:
a. articulate the rootedness of education in philosophical, socio-cultural, historical,
psychological, and political contexts;
b. demonstrate mastery of subject matter/discipline
c. facilitate learning using a wide range of teaching methodologies and delivery
modes appropriate to specific learners and their environments;
d. develop innovative curricula, instructional plans, teaching approaches, and
resources for diverse learners;

Bachelor of Secondary Education Major in Mathematics 3

 e. apply skills in the development and utilization of ICT to promote quality,
relevant, and sustainable educational practices;
f. demonstrate a variety of thinking skills in planning, monitoring, assessing, and
reporting learning processes and outcomes;
g. practice professional and ethical teaching standards sensitive to the local,
national, and global realities; and
h. pursue lifelong learning for personal and professional growth through varied
experiential and field-based opportunities.

C. Specific to Mathematics major courses

a. Exhibit competence in mathematical concepts and procedures
b. Exhibit proficiency in relating mathematics to other curricular areas
c. Manifest meaningful and comprehensive pedagogical content knowledge (PCK)
of mathematics
d. Demonstrate competence in designing, constructing and utilizing different forms
of assessment in mathematics
e. Demonstrate proficiency in problem-solving by solving and creating routine and
non-routine problems with different levels of complexity
f. Use effectively appropriate approaches, methods, and techniques in teaching
mathematics including technological tools
g. Appreciate mathematics as an opportunity for creative work, moments of
enlightenment, discovery and gaining insights of the world
*Adopted from CMO number 75 series of 2017

Bachelor of Secondary Education Major in Mathematics 4

 PERFORMANCE INDICATORS
Program Outcomes Performance Indicators
a. Exhibit competence  Explain and illustrate clearly, accurately, and
in mathematical comprehensively the basic mathematical concepts,
concepts and using relevant examples as needed
procedures  Demonstrate in detail basic mathematical
procedures
 Show the connections between mathematical
concepts that are related to one another
 Provide examples to illustrate the application of
mathematical concepts and procedures
b.Exhibit proficiency in  Create a curriculum guide that shows how
relating mathematics mathematics can be integrated with other
to other curricular curricular areas
areas  Identify teaching activities which support the
implementation of the curriculum guide
 Develop and utilize instructional materials that
support that support the integration of
mathematics with other curricular areas
 Utilize appropriate technologies to achieve the
learning outcomes
c. Manifest meaningful  Demonstrate skills in various methods of learning
and comprehensive in mathematics such as, conducting investigations,
pedagogical content modelling, and doing research
knowledge (PCK) of  Create and utilize learning experience in the
mathematics classroom which develop the learner’s skills in
discovery learning, problem solving, and critical
thinking
d.Demonstrate  Design and utilize varied assessment tools in
competence in mathematics, including alternative forms of
designing, assessment
constructing and  Analyze assessment results and use these to
utilizing different improve learning and teaching
forms of assessment in  Provide timely feedback of assessment results to
mathematics students
e.Demonstrate  Demonstrate skills in various problem solving
proficiency in heuristics
problem-solving by  Select suitable examples to explain the various
solving and creating problem solving heuristics
routine and non-  Manifest creativity and critical thinking when
routine problems with selecting examples and problems to be used in the
different levels of classroom and in the assessment of student’s
complexity learning
 Use varied resources for selecting and creating
problems to develop the students’ problem solving
skills
f. Use effectively  Demonstrate knowledge and skills in varied
appropriate approaches and methods of teaching mathematics
approaches, methods,  Manifest discretion when selecting approaches or
and techniques in methods that would be effective in teaching

Bachelor of Secondary Education Major in Mathematics 5

 teaching mathematics particular lessons
including technological  Utilizes a variety of student-centered approaches
tools and methods in classroom
 Demonstrate skills in the use of common
mathematical software for teaching and learning
mathematical concepts, e.g. Graphmatica,
Geogebra, and Geometer’s Sketchpad
 Develop and use materials that guide the students
in using a mathematical software for discovering
and learning mathematical concepts
g.Appreciate  Model in class such mathematical attitudes as
mathematics as an delight after having found the solution to a problem
opportunity for or a sense of wonder at how certain mathematical
creative work, concepts evolved
moments of  Develop lessons that can help students appreciate
enlightenment, the use of mathematics in daily life
discovery and gaining
insights of the world
*Adopted from CMO No. 75 Series of 2017

Bachelor of Secondary Education Major in Mathematics 6

 CURRICULUM

A. Curriculum Components
CODE COURSES UNITS TOTAL
1. General Education Courses 56
NGEC 1 Understanding the Self 3
NGEC 2 Readings in Philippine History 3
NGEC 3 The Contemporary World 3
NGEC 4 Mathematics in the Modern World 3
NGEC 5 Purposive Communication 3
NGEC 6 Art Appreciation 3
NGEC 7 Science, Technology and Society 3
NGEC 8 Ethics 3
RIZAL Life and Works of Rizal 3
FIL 1 Kontekstwalisadong Komunikasyon sa Filipino 3
FIL 2 Filipino sa Ibat-ibang Disiplina 3
FIL 3 Dalumat sa Filipino 3
Sosyedad at Literatura / Panitikang Panlipunan
PAN 1 3
(SOSLIT)
PAN 2 Sinesosyedad / Pelikulang Panlipunan 3
PE 1 Physical Fitness 2
PE 2 Rhythmic Activities 2
PE 3 Individual/ Dual Sports 2
PE 4 Recreational/ Team Sports 2
NSTP 1 National Service Training Program 3
NSTP 2 National Service Training Program 3
Note: 27 units (NGEC per CMO No. 20 s. 2013)
15 units Filipino courses
14 units Mandated Courses (PE and NSTP)
2. Professional Education Courses 42
2.1 Foundation/ Theories and Concepts 12
The Child and Adolescent Learners and
PED 1 3
Learning Principles
PED 10 The Teaching Profession 3
The Teacher and Community, School Culture and
PED 8 3
Organizational Leadership
Foundation of Special and
PED 2 3
Inclusive Education (new mandated)
2.2 Methods and Strategies 18
PED 3 Facilitating Learner-Centered Teaching 3
PED 4 Technology for Teaching and Learning 1 3
PED 6 Assessment in Learning 1 3
Building and Enhancing New Literacies Across the
PED 5 3
Curriculum
PED 7 Assessment in Learning 2 3
PED 9 The Teacher and the School Curriculum 3
2.3 Experiential Learning 12
PED 11 Field Study 1: Observation of Teaching and Learning 6

Bachelor of Secondary Education Major in Mathematics 7

 in Actual School Environment
Field Study 2: Participation and Teaching
PED 12
Assistantship
PED 13 Teaching Internship 6
3. Major Courses 69
EdMath 1 College and Advanced Algebra 3
EdMath 2 Elementary Statistics and Probability 3
EdMath 3 Trigonometry 3
EdMath 4 Plane and Solid Geometry 3
EdMath 5 Mathematics of Investment 3
EdMath 6 Principles and Strategies in Teaching Mathematics 3
EdMath 7 Logic and Set Theory 3
EdMath 8 Advanced Statistics 3
EdMath 9 Calculus 1 with Analytic Geometry 4*
EdMath
Modern Geometry 3
10
EdMath Problem Solving, Mathematical Investigation and
3
11 Modelling
EdMath
Calculus 2: Differential Calculus 4*
12
EdMath
Number Theory 3
13
EdMath Technology for Teaching and Learning 2
3
14 (Instrumentation and Technology in Mathematics)
EdMath
Linear Algebra 3
15
EdMath
History of Math 3
16
EdMath
Calculus 3: Integral Calculus 4*
17
EdMath
Abstract Algebra 3
18
EdMath
Graph Theory* 3
19
EdMath
Assessment and Evaluation in Mathematics 3
20
RES 1 Methods of Research 3
Undergraduate Thesis/Research Paper/
RES 2 3*
Research Project
5. Other Courses 12
JEEP 1 Advance Basic Grammar 3
JEEP 2 Accelerate 3
CA 1 General Education and Professional Education 3
CA 2 Major Subjects 3

SUMMARY
Courses CHED Minimum ZSCMST Bachelor of
Requirement Secondary Education
Major in Mathematics
(Total No. of Units) (Total No. of Units)
General Education Courses 50 56
Professional Education 42 42
Courses
Major Courses 63 69
Others - (12)
155 179

Bachelor of Secondary Education Major in Mathematics 8

B. Program of Study (Distribution of Courses)
Co Lec Lab Credit Pre-
Course de
Course Description (hrs) (hrs) Units requisites

FIRST YEAR
First Semester
NGEC 4 Math in the Modern World 3 0 3
NGEC 5 Purposive Communication 3 0 3
The Child and Adolescent Learner
PED 1 3 0 3
and Learning Principles
PED 2 The Teaching Profession 3 0 3
EDMATH 1 College and Advanced Algebra 3 0 3
EDMATH 2 Elementary Statistics and Probability 3 0 3
Kontekswalisadong Komunikasyon
FIL 1 3 0 3
sa Filipino
Sosyedad at Literatura / Panitikang
PAN 1 3 0 3
Panlipunan (SOSLIT)
PE 1 Physical Fitness 2 0 2
NSTP 1 National Service Training Program 3 0 3
Total Number of Units: 29 0 29

Second Semester
NGEC 1 Understanding the Self 3 0 3
Building and Enhancing New Literacies
PED 3 3 0 3
Across the Curriculum
The Teacher and Community, School
PED 4 3 0 3
Culture and Organizational Leadership
EDMATH 3 Trigonometry 3 0 3 EDMATH 1

EDMATH 4 Plane and Solid Geometry 3 0 3 EDMATH 1

EDMATH 5 Mathematics of Investment 3 0 3

FIL 2 Filipino sa Iba't Ibang Disiplina 3 0 3
PAN 2 Sinesosyedad / Pelikulang Panlipunan 3 0 3
PE 2 Rhythmical Activities 2 0 2 PE 1
NSTP 2 National Service Training Program 3 0 3 NSTP 1
Total Number of Units: 29 0 29

SECOND YEAR
First Semester
NGEC 3 The Contemporary World 3 0 3
Foundation of Special and Inclusive
PED 5 3 0 3
Education
PED 6 Facilitating Learner-Centered Teaching 3 0 3
Bachelor of Secondary Education Major in Mathematics 9
 Principles and Strategies in Teaching
EDMATH 6 3 0 3
Mathematics
EDMATH 7 Logic and Set Theory 3 0 3 EDMATH 5

EDMATH 8 Advanced Statistics 3 0 3 EDMATH 2

FIL 3 Dalumat ng/sa Filipino (DALUMATFIL) 3 0 3

JEEP 1 Advance Basic Grammar 0 3 3
PE 3 Individual and Dual Sports 2 0 2 PE 2
Total Number of Units: 23 3 26

Second Semester
NGEC 2 Readings in Philippine History 3 0 3
NGEC 7 Science and Technology 3 0 3
PED 7 Assessment in Learning 1 3 0 3
PED 8 Technology for Teaching and Learning 1 3 0 3
EDMATH 9 Calculus 1 with Analytic Geometry 4 0 4 EDMATH 4

EDMATH 10 Modern Geometry 3 0 3 EDMATH 5

Problem Solving, Mathematical

EDMATH 11 3 0 3 EDMATH 7
Investigation and Modelling
JEEP 2 Accelerate 0 3 3 JEEP 1
PE 4 Recreational Activities and Team Sports 2 0 2 PE 3
Total Number of Units: 24 3 27
THIRD YEAR
First Semester
NGEC 8 Ethics 3 0 3
PED 9 Assessment in Learning 2 3 0 3 PED 7
EDMATH 12 Calculus 2: Differential Calculus 4 0 4 EDMATH 9

EDMATH 13 Number Theory 3 0 3 EDMATH 7

Technology for Teaching and Learning 2

EDMATH 14 (Instrumentation and Technology in 3 0 3 PED 8
Mathematics)
EDMATH 15 Linear Algebra 3 0 3 EDMATH 9

RES 1 Methods of Research 3 0 3

RIZAL 1 Life and Works of Rizal 3 0 3
Total Number of Units: 28 0 28
Second Semester
NGEC 6 Art Appreciation 3 0 3
PED 10 The Teacher and the School Curriculum 3 0 3
EDMATH 16 History of Math 3 0 3
EDMATH 17 Calculus 3: Integral Calculus 4 0 4 MATH 8
EDMATH 18 Abstract Algebra 3 0 3 MATH 11
EDMATH 19 Graph Theory 3 0 3 MATH 4
Assessment & Evaluation in
EDMATH 20 3 0 3
Mathematics
Undergraduate Thesis/ Research Paper/
RES 2 3 0 3
Research Project) RES 1
Total Number of Units: 22 0 22

FOURTH YEAR
First Semester
Field Study 1: Observations of
FS 1 Teaching and Learning in the Actual 3 0 3
School Environment
FS 2 3 0 3
Bachelor of Secondary Education Major in Mathematics 10
 Comp General Education and Professional
1 3 0 3
Appraisal Education
Total Number of Units: 9 9

Second Semester
PED 12 Practice Teaching 6 0 6 PED 11
Comp
Appraisal
2 Major 3 0 3 PED 9
Total Number of Units: 9 0 9

Total Number of Units: 173 6 179

C. Curriculum Map

Legend: I – Introduced Concepts/ Principle

P – Practiced with Supervision
D – Demonstrated across different setting with minimal supervision

Alternative Legend:
L – Facilitates learning of the competencies (input is provided and
competency is evaluated)
P – Allows students to practice competencies (no input but competency is
evaluated)
O – Opportunity for development (no input or evaluation, but there is
opportunity to practice competencies)

Program Outcomes
COURSES
a b c d e f g
Math 1 College and Advanced Algebra L O P P L P P
Math 2 Trigonometry L O P P L P P
Math 3 Plane and Solid Geometry L O P P L P P
Math 4 Logic and Set Theory L O P P P P O
Elementary Statistics and
Math 5 L O P P L P P
Probability
Math 6 Calculus 1 with Analytic Geometry L O P P L P P
Math 7 Modern Geometry L O P P P P P
Math 8 Calculus 2:Differential Calculus L O P P L P P
Math 9 Mathematics of Investment L O P P L P L
Math 10 Advanced Statistics L O P P L P P
Math 11 Number Theory L O P P L P P
Problem Solving, Mathematical
Math 12 L O L P L P P
Investigation and Modelling
Math 13 Principles and Strategies in P L P P P L L
Bachelor of Secondary Education Major in Mathematics 11
 Teaching Mathematics
Technology for Teaching and
Math 14 Learning 2 (Instrumentation and P L L P P P P
Technology in Mathematics)
Math 15 History of Math P O P P P P L
Math 16 Calculus 3: Integral Calculus L O P P L P P
Math 17 Linear Algebra L O P P L P P
Math 18 Abstract Algebra L O P P O P O
Math 19 Graph Theory L O P P O P O
Assessment and Evaluation in
Math 20 P P O L P O L
Mathematics
RES 1 Methods of Research P P L O O O L
Undergraduate Thesis/Research
RES 2 P P L O O O L
Paper/Research Project
*Adopted from CMO Unnumbered Final Draft as of April 29 2016

VIII. BRIEF COURSE DESCRIPTION OF EACH SPECIALIZATION SUBJECT

Course Code: Math 1

Course Title: College Algebra
Course Description:
This course deals with the fundamental concepts of algebraic expressions,
functions, relations and their graphs, methods of solving systems of linear equations,
quadratic equations, inequalities, matrices and determinants together with their
applications. The subject matter is expounded in such ways that it conforms to the
experience and maturity of the students.
By the end of this course, the students should gain appreciation of mathematics as
a logical science, and have the necessary foundations and skills that will enable them to
study effectively more advanced courses in mathematics related to their field of
specialization.  Thus, the ability to use mathematics in their world beyond the classroom
will be greatly enhanced and be more meaningful.
Course Credits: 3 units
Contact hours:
Prerequisite: none

Course Code: Math 2

Course Title: Elementary Statistics
Course Description:
This course presents the basic statistical concepts involved in the design and data
analysis of experiments, deals with the fundamental ideas of statistics.  It discusses the

Bachelor of Secondary Education Major in Mathematics 12

basic steps in conducting statistical investigation such as collecting, presenting and
summarizing data.  Also, the course discusses the different methods of collecting data,
different sampling techniques, frequency distribution table, stem-leaf diagram and
different graphical presentation.  Important statistical tools such as the measures of
central location and measures of variation and dispersion, with their applications are also
discussed. Discussions of possibilities, probability distributions and an overview of
inferential statistics are also presented.
This introductory course is classified in a way that the learner will have a clear
perspective on the basic knowledge of descriptive statistics, inferential statistics and
probability concepts. 
Course Credits: 3 units
Contact hours:
Prerequisite: none

Course Code/ Course Title: Math 3: Advance Algebra and Trigonometry

Course Description:
This course provide students with a basic understanding of various functions,
including their characteristics, graphs and applications as well as a basic understanding
of trigonometric functions and their inverses, including their graphs, characteristics and
applications. It includes the study of the Real Number System and its properties, the
operations on different types of algebraic expressions, and the solution of various types
of equations and inequalities. It also includes a study of the trigonometric identities and
their applications in problem solving.
Course Credits: 4 units
Contact hours:
Prerequisite: Math 1

Course Code/ Course Title: Math 4: Plane and Solid Geometry

Course Description:
This course provides the students with the basic knowledge and skills about plane
Euclidean Geometry. It uses both inductive and deductive methods to develop the
students’ understanding of the geometric properties of various plane and special figures.
It also aims to develop the students’ reasoning skills through proofs and investigative
activities.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 1

Bachelor of Secondary Education Major in Mathematics 13

Course Code/ Course Title: Math 5: Statistics and Probability
Course Description:
This course introduces students to the mathematics of chance, including
fundamental counting techniques, probability distribution and mathematical
expectations. It shows the application of math in decision making. The course includes
applications and data analysis with computations carried out using SPSS.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 2

Course Code/ Course Title: Math 6: Logic and Set Theory  

Course Description:
This course deals with propositions, quantifiers, syllogism, truth functions, and
logical reasoning. The course starts with an introduction to the elementary discussion of
sets and set operations and a detailed discussion of the concepts of function and of
relation.  It will be followed by a discussion on the theory of cardinal and ordinal
numbers.  Included in each topic are statements of pertinent definitions and principles
and theorems together with some examples to illustrate and amplify the theory and
provide the repetition of basic principles vital to effective learning.  Numerous proofs of
theorems and derivations of basic results are included to develop in the students’
systematic and logical way of solving not just mathematical problems but also their
applications to real world problems.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 1, Math 3

Course Code/ Course Title: Math 7: Modern Geometry

Course Description:
This course is an advanced treatment of elementary geometry.  It deals with the
foundations of geometry which includes the following hierarchy of geometries:
projective, affine, Euclidean, non-Euclidean, and topology.  Both synthetic and algebraic
methods will enable the students to develop an appreciation for algebra and geometry.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 1, Math 4

Course Code/ Course Title: Math 8: Mathematics of Investment

Course Description:

Bachelor of Secondary Education Major in Mathematics 14

 This course provides the students with a basic understanding of the applications of
mathematical concepts and skills in economics, business and accounting especially in
terms of the use of mathematics in financial transactions. It includes determining the
time value of money using simple and compound interest and discounting, variation of
annuities, amortization and sinking fund.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 1, Math 2

Course Code/ Course Title: Math 9: Analytic Geometry

Course Description:
This course provides students with the basic concepts and skills to understand
mathematical models. Topics in this course include graphs and their equations, straight
line, circle, parabola, ellipse, hyperbola, rotation of axis and higher plane curves fitting,
use of algebra (equations, formulas and their algebraic manipulations) as the main tool
in investigation of interesting and useful properties of configurations involving points,
straight lines, and curves other that straight line.
Course Credits: 3 hours
Contact hours:
Prerequisite: Math 1, Math 3, Math 4

Course Code/ Course Title: Math 10: Advanced Statistics

Course Description:
This course deals with non-parametric statistics. It covers the topics on test of
association such as Spearman Rho, Phi coefficient, Contingency coefficient, biserial, etc.
and test of differences such as Mann-Whitney U, Wilcoxon, etc. It includes applications
and data analysis with computations carried out using SPSS.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 1, Math 2, Math 5

Course Code/ Course Title: Math 11: Technology for Teaching and Learning 2:
Instrumentation
Course Description:
This course is designed to develop the students’ skills in designing instructional
materials and in using technology to facilitate the learning of mathematical concepts in a
secondary math class. It intends to familiarize the future teachers with various math

Bachelor of Secondary Education Major in Mathematics 15

instructional tools including different application software which they can use in the
future.
The aim of this course is to present and produce a wide variety of mathematical
instruments which the students can later use in teaching their classes.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 1, Math 2, Math 3, Math 4, Math 5, Math 6, Math 7

Course Code/ Course Title: Math 12: Problem Solving, Mathematical Investigations
and modelling
Course Description:
This course makes use of the repertoire of mathematical knowledge and skills
students have developed over the years to deepen and further enhance their
understanding of the subject. It allows the students to explore situations, recognize
patterns, formulate, test and justify conjectures, and make generalizations. It aims to
develop the students to become logical, critical problem solvers and models who are
adept at using varied strategies for proving properties and solving problems. Likewise, it
aspires to enhance their communication skills, both oral and written, through written
and oral defense of research-based investigatory project is mathematics. Further, it
aims to change the students’ image of mathematics as a “toolkit” and impress in them
the view that mathematics is a dynamic and growing body of knowledge and processes.
The use of graphing calculators and computer algebra systems in highly encouraged.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 1, Math 3, Math 4, Math 6, Math 7

Course Code/ Course Title: Math 13: History of Mathematics

Course Description:
This course presents the humanistic aspects of mathematics which provides the
historical context and approaches done that led to the present understanding of
mathematical concepts. This will be a study of the properties of number; Diaphonic
problems; Congruencies: some famous theorems and problems; continued fractions.
Course Credits: 3 hours
Contact hours:
Prerequisite: Math 1

Course Code/ Course Title: Math 14: Calculus I: Differential Calculus

Bachelor of Secondary Education Major in Mathematics 16

Course Description:
This course will focus on the central idea of Calculus. The goal of the course is for
the students to develop an understanding of the concepts and relationships of Calculus.
It will provide students with basic concepts and skills to understand mathematical
models for situations involving change or rate of change. These concepts and skills
include limits, continuity, derivatives, differentials, and their applications.
Course Credits: 5 units
Contact hours:
Prerequisite: Math 1, Math 3, Math 4, Math 9
Course Code/ Course Title: Math 15: Number Theory
Course Description:
This course is a study of the properties of numbers and their proofs. The topics
include the set of integers that covers unique prime factorization, divisibility rules,
Euclidean Algorithm, greatest common divisor, the fundamental theorem of arithmetic,
arithmetic functions, multiplicative functions, modular congruencies, Linear Diophantine
equations, the Chinese remainder theorem, quadratic residues and quadratic reciprocity,
Linear Congruences. It presents the students with the different methods of mathematical
proving.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 1, Math 3, Math 4, Math 6, Math 7, Math

Course Code/ Course Title: Math 16: Assessment and Evaluation in Mathematics
Course Description:
This course deals with traditional and authentic assessment methods of evaluating
mathematics learning. It covers the purposes of instruction and assessment,
relationships of assessment to content and performance standards, and includes
discussions on issues and trends in the context of assessment in mathematics.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 1, Math 2, Math 3, Math 4, Math 5, Math 10

Course Code/ Course Title: Math 17: Linear Algebra

Course Description:
This course provides a basic understanding of vector spaces, including the study of
matrices, their properties and matrix operations. It shows the application of matrices in
systems of linear equations and linear transformations.
Course Credits: 3 units

Bachelor of Secondary Education Major in Mathematics 17

Contact hours:
Prerequisite: Math 1, Math 3, Math 9, Math 15

Course Code/ Course Title: Math 18: Calculus II: Integral Calculus
Course Description:
The course aims to further develop the students’ understanding of integral
calculus. These concepts and skills include indefinite integrals, definite integrals of
algebraic function and their applications.
Course Credits: 5 units
Contact hours:
Prerequisite: Math 1, Math 3, Math 4, Math 7, Math 9, Math 14

Course Code/ Course Title: Math 19: Abstract Algebra

Course Description:
This course is a study of basic algebraic structures such as groups, rings, integral
domains and fields. It provides a basic understanding of relations such as
homomorphism focusing on isomorphism. It aims to enhance the student’s skills in
constructing mathematical proofs, and develop their symbolic thinking and appreciation
of mathematical structures.
Course Credits: 3 units
Contact hours:
Prerequisite: Math 1, Math 3, Math 6, Math 7, Math 15

Course Code/ Course Title: Math 20: Graph Theory

Course Description:
This is a course that will tackle graphs, digraphs, multi-graphs, graph modeling,
degrees and degree sequences, sub-graphs, isomorphisms of graphs, and digraphs,
distance concepts and applications, trees, and tree algorithms, Hamiltonian and Eulerean
graphs. The viewpoints will be conceptual, theoretical, and algorithmic.
Course Credits: 3units
Contact hours:
Prerequisite: Math 4, Math 6, Math 7, Math 15, Math 19

Course Code/Course Title: Math 21: Research in Mathematics

Course Description:

Bachelor of Secondary Education Major in Mathematics 18

 This course aims to prepare prospective mathematics teachers to undertake an
undergraduate research project. It gives prospective teachers the opportunity to conduct
researches that address problems, issues and concerns in mathematics teaching and
learning. It showcases their research skills through the application of diverse
mathematical content and processes learned through the years of schooling. This is done
in two stages: stage 1 is the writing of the proposal and stage 2 is the writing and
defense of the final research paper. The use of computer software such as the Statistical
Package for the Social Sciences (SPSS) and the like is highly encouraged. Course
Credits: 3 units
Contact hours:
Prerequisite: Math 1-Math 19, PED 10

Bachelor of Secondary Education Major in Mathematics 19