College of Teacher Education

Bachelor of Secondary Education major in Mathematics

Level

Undergraduate

Duration

4 years

Credits

144 units

Course Description

Equips future educators with the skills to teach mathematics in high school, emphasizing logical reasoning, problem-solving, and quantitative analysis.

Requirements

Requirements information will be available soon.

Curriculum

First Year

First Semester

Code	Subject	Units	Hours	Description
M100	History of Mathematics	3.0	3L	The course presents the humanistic aspects of mathematics which provides the historical context and timeline that led to the present understanding and applications of the different branches of mathematics. Topics included in this course are not very technical and rigid aspects of mathematics; rather they are early, interesting, and light developments of the field. They are intended to enrich the background of the students in the hope that the students find value and inspiration in the historical approach to the mathematical concepts.
M100	History of Mathematics	3.0	3L	The course presents the humanistic aspects of mathematics which provides the historical context and timeline that led to the present understanding and applications of the different branches of mathematics. Topics included in this course are not very technical and rigid aspects of mathematics; rather they are early, interesting, and light developments of the field. They are intended to enrich the background of the students in the hope that the students find value and inspiration in the historical approach to the mathematical concepts.
M 101	College and Advanced Algebra	3.0	3L	The course builds upon the students' knowledge on properties of the real number system, operations on different types of algebraic expressions, and the solution of various types of equations and inequalities. The course also covers the prerequisites to trigonometry and calculus, specifically transcendental and non-transcendental functions, including the characteristics of their graphs and applications. It serves as a foundation for future study in various fields in mathematics.
M102	TRIGONOMETRY	3.0	3L	The course aims to enable students to achieve thorough grasp of circular and trigonometric functions, solutions to triangles, trigonometric identities and the polar coordinate system that will translate into proficient application of these concepts in problem solving and readiness for higher mathematics. Students of this course will engage in inquiry learning and problem-solving using computer applications/software and other technological devices.

Second Year

First Semester

Code	Subject	Units	Hours	Description
M111	Number Theory	3.0	3L	This course is designed to develop pre-service teachers' knowledge and skills in the effective use of technology to enhance teaching and learning. The course introduces students to the principles, frameworks, and best practices of educational technology, with The course is a study of the properties of numbers and their proofs. It presents the students with different methods of mathematical proving. It focuses on the discussion of the set of integers including Unique Prime Factorization, Divisibility Rules, Euclidean Algorithm, Linear Congruencies, Linear Diophantine Equations, Completion of the activity sheets and problem sets, and compendium of practical application of the different theorems relating to the subject matter. emphasis on understanding the role of ICT in the 21st-century classroom.
M110	Mathematics of Investment	3.0	3L	The course introduces students with a basic understanding of the applications of mathematical concepts in economics, business and accounting. It includes determining the time value of money using simple and compound interest and discounting, variation of annuities, amortization stocks and bonds, and sinking fund.
ASSESS 311	Assessment in Learning 1	3.0	3L	This course focuses on principles, development and utilization of conventional assessment tools to improve teaching-learning processes. It explores the standard steps in test development, its application in assessing learning, training in scoring, organizing, analyzing, interpreting and communicating assessment results and how it is used in improving teaching and learning.
M 106	Calculus 1 with Analytic Geometry	4.0	4L	The course equips the students with knowledge and skills needed to be able to determine limits and continuity of functions, differentiating and integrating algebraic, exponential, logarithmic, and trigonometric functions in one variable. The course includes exposure to more challenging problems covering continuity and areas of regions.
M109	Modern Geometry	3.0	3L	This course aims to explore geometry beyond Euclidean concepts. It introduces students to various types of geometries and encourages them to expand on the geometric ideas they have learned in previous courses. Additionally, students will enhance their skills in using the axiomatic method and in writing proofs, both of which are essential for understanding higher-level mathematics.

Third Year

First Semester

Code	Subject	Units	Hours	Description
TTL1	Technology for Teaching and Learning 1	3.0	3L	This course is designed to develop pre-service teachers' knowledge and skills in the effective use of technology to enhance teaching and learning. The course introduces students to the principles, frameworks, and best practices of educational technology, with emphasis on understanding the role of ICT in the 21st-century classroom.
M115	Problem Solving, Mathematical Investigation and Modeling (Lecture)	3.0	3L	This course intends to enhance the students' knowledge and skills in dealing with real-life and/or non-routine applications of mathematics. Students will have the opportunity to explore the use of problem-solving strategies or heuristics as they engage in mathematical investigations, formulate and justify conjectures, make generalizations, and communicate mathematical ideas.
M113	Advanced Statistics	3.0	3L	This course is designed to deepen students' concepts and techniques that are essential to data processing and analysis. Topics will cover parametric and non-parametric statistics such as Rank Tests for one sample, two samples, Test for randomness, Association tests, Distribution tests, Tests for independence. This course will enhance students' ability in using statistical software such as Excel and SPSS to automate data processing.
ASSESS 311	Assessment in Learning 1	3.0	3L	This course focuses on principles, development and utilization of conventional assessment tools to improve teaching-learning processes. It explores the standard steps in test development, its application in assessing learning, training in scoring, organizing, analyzing, interpreting and communicating assessment results and how it is used in improving teaching and learning.
M108	Calculus III	3.0	3L	The course aims to provide the students with an understanding of the applications of differentiation and integration in sequences, infinite series, power series, as well as multiple integration for functions in several variables. Moreover, will be able to apply these concepts to problem solving.
M108	Calculus III	3.0	3L	The course aims to provide the students with an understanding of the applications of differentiation and integration in sequences, infinite series, power series, as well as multiple integration for functions in several variables. Moreover, will be able to apply these concepts to problem solving.

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