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Vision Statement: The vision of El Royale Hotelier Training Center Inc. is to enrich the lives of students from all the backgrounds of life through innovative education. Mission Statement : To provide students from all backgrounds of life an opportunity for high quality academic, vocational and technical education in order to prepare them to be globally competitive. PHILOSOPHY : Program Educational Objective (CMO) No. 56, Series 2007 1 Impart a body of knowledge, skills, attitude, values, and experiences that will provide prospective teachers with the necessary competencies essential for effective teaching. 2 Equip the teacher/graduate with in-depth knowledge of the context and specified skills in the major field including industry exposure. 3 Equip the teacher/ graduate with competencies on the use of technology in teaching and in training. Course Title Date Effective: September 2023 Date Revised: Prepared by: Reymart P. Check by: Approve by:
COURSE SYLLABUS
**1. Course Code:
- Course Title: MATHEMATICS IN THE MODERN WORLD
- Pre-Requisite:** None 4 Co-Requisite: None 5. Credit/ Class Schedule: 3 unit’s lecture (54hrs) 6. 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 actual 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. 7. Program Outcomes and Relationship to Program Educational Objectives. Program Outcomes Program Educational Objectives 1 2 3 a. Demonstrate the competencies required o the Philippine TVET Trainers Assessors Qualifications Framework (PTTQF)
b. Demonstrate broad, meaningful and coherent knowledge and skills in any of the specific fields in technical and vocational teacher education.
c. Apply with minimal supervision specialized knowledge and skills in any of the specific fields in technical teacher education.
d. Demonstrate higher level literacy, communication, numeracy, critical thinking, learning skills needed or higher learning.
e. Manifest a deep and principled understanding of the learning processes and the role of the teacher in facilitating these processes in their students.
f. Show a deep and principled understanding of how educational processes relate to larger historical, social, cultural, and political
Course Title Date Effective: September 2023 Date Revised: Prepared by: Reymart P. Check by: Approve by:
a.) Characteristics of mathematical language: precise, concise, powerful b.) Expression vs. Sentences c.) Convention in the mathematical language Four basic concepts: sets, functions, relations, binary operations. d.) Elementary Logic: connectives, quantifiers, negation, variables PRELIMENARY EXAMINATION MIDDLE TERM 7 Problem Solving and Reasoning a.) Inductive and deductive reasoning b.) Intuition, proof, and certainty c.) Polya’s 4 steps in problem solving d.) Problem solving strategies e.) Mathematical problems involving patterns Recreational problems using mathematics 8 Mathematics as a Tool (Part 1) a.) Geometric Designs a.1) Recognizing and Analyzing geometric shapes a.2) Transformations a.3) Patterns and diagrams a.4) Designs arts and culture b.) Codes b.1) Binary codes b.2) Integers in computers b.3) Logic and Computer addition b.4) Text data b.5) Errors and errors correction b.6) Errors Detecting codes b.7) Repetition and Hamming codes c.) Linear Programming c.1) Linear Inequalities c.2) Geometry of Linear Programming c.3) Simplex Method d.) The Mathematics of Finance d.1) Simple and Compound Interest d.2) Credits and Consumers Loans d.3) Stocks, Funds, and Mutual Funds home ownership 12 MIDDLE TERM EXAMINATION FINAL TERM 13 Mathematics as a Tool (Part 2) e.) Apportionment and Voting e.1) Introduction to Apportionment e.2) Introduction to Voting e.3) Weighted Voting System f.) Logic f.1) Logic statement and quantifiers f.2) Truth tables and tautologies f.3) Conditional, Biconditional, and related statement f.4) Symbolic arguments Course Title Date Effective: September 2023 Date Revised: Prepared by: Reymart P. Check by: Approve by:
f.5) Arguments and Eulers diagram g.) The Mathematics of Graphs g.1) Graphs and Eulers Circuit g.2) Weighted Graphs g.3) Euler’s Formula g.4) Graph Coloring h.) Mathematical Systems h.1) Modular Arithmetic h.2) Applications h.3) Group Theory 14 a.) Mathematics in Our World b.) Mathematical Language and Symbol c.) Problem Solving and Reasoning Mathematics as a Tool 18 FINAL EXAMINATION
10. Grading System 1.Long Quiz/Short Quiz 15 % 2. Recitation/Activities/Participation 25% 3. Project 10% 4. Assignment 10% 5. Major Examinations 40% **Total 100%
- Course Evaluation:** The minimum requirement for a passing is 60% of the total scores from the following: Flexible Learning Modality Performance Assessments (including Portfolio) Major Exam Quizzes 12. References: Mathematics in the Modern World by R. Aufmann, et.al, 2018 ttps://www.studoc u.com/ph/documen t/philippine-college- of- technology/educatio n/assessment-of- learning-1- module/ 13. Course Materials Made Available: a. Sample of quizzes and major exam from students. b. End-of-course assessment report by the students and the faculty. 14. Course Requirements: Course Title Date Effective: September 2023 Date Revised: Prepared by: Reymart P. Check by: Approve by:
