Syllabus_Mathematics in the Modern World

UNIVERSAL COLLEGE OF PARAÑAQUE 8273 Dr. A. Santos Avenue, Sucat Road, Parañaque City Tel. No: 820-2222 / Telefax: 829-861

College of Education

MATHEMATICS IN THE MODERN WORLD AY 2018-2019; 2018-2019; 1ST SEMESTER I. COURSE TITLE: II. COURSE CODE: III. PRE – REQUISITE: IV. NO OF UNITS: V. COURSE DESCRIPTION:

MATHEMATICS IN THE MODERN WORLD GEC010 N/A 3 UNITS

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 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) go verned 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, suc h 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. VI. LEARNING OUTCOMES At the end of the course, the students should be able to: 1. 2. 3. 4. 5. 6. 7. 8.

Discuss and argue about the nature of mathematics, what it is, how it is expressed, represented, and used. Use different types of reasoning to justify statements and arguments made about mathematics and mathematical concepts. Discuss the language and symbols of mathematics. Use a variety of statistical tools to process and manage numerical data. Analyze codes and coding schemes used for identification, privacy and security purposes. Use mathematics in other areas such as finance, voting, health and medicine, business, environment, arts and design and recreation. Appreciate the nature and uses of mathematics in everyday life. Affirm honesty and integrity in the application of mathematics to various human endeavors.

Page 1 |MATHEMATICS IN THE MODERN WORLD


College of Education VII. NUMBER OF HOURS:

3 hrs. every week for 18 weeks or 54 hours in a semester

VIII. COURSE OUTLINE WEEKS 1–3

Introduction The Nature of Mathematics Mathematics in our World

WEEKS 4–5

Mathematical Language and Symbols

WEEK 6

Prelim Examination

WEEKS 7–8

Problem Solving and Reasoning

WEEKS 9–10

Mathematics as a Tool Data Management and Statistics

WEEK 11

Midterm Examination

WEEKS 12–13

Logic

WEEKS 14–15

The Mathematics of Graphs

WEEKS 16–17

Mathematical Systems

WEEK 18

Final Examination



College of Education IX. MATHEMATICS IN THE MODERN WORLD Learning Plan Learning Outcomes Topic WEEKS 1–3: Introduction The Nature of Mathematics Mathematics in our World Identify patterns in nature and The Nature of Mathematics Mathematics in our World regularities in the world Patterns and Numbers in Nature and The Articulate the importance of World mathematics in one’s life The Fibonacci Sequence Argue about nature of Mathematics helps organize patterns and mathematics what it is, how it is regularities in the world expressed, represented and Mathematics helps predict the behavior of used nature and phenomena in the world Express appreciation for Mathematics helps control nature and mathematics as a human occurence in the world for our own ends. endeavor Mathematics has numerous applications in the world making it indispensable WEEKS 4–5: Mathematical Language and Symbols Discuss the language, symbols Mathematical Language and Symbols and conventions of Characteristics of mathematical language mathematics precise, concise and powerful Explain the nature of Expression vs. sentences mathematics as a language Conventions in the mathematical language Perform operations on Four basic concepts: sets, functions mathematical expressions relations, binary operators correctly Elementary logic connectives, quantifiers, Acknowledge that mathematics negation variables is a useful language Formality







Methodology















 

Video-watching Pair-sharing Journal writing Whole class discussion Lecture/Discussion

Resources

 





College syllabus Nature’s Numbers by Ian Stewart Mathematics in the Modern World by Aufmann et al.

Assessment

    

Quiz Essay Recitation Reporting Seatwork





















 





 

Whole class discussion Group discussion Lecture/Discussion Board works











The Language of Mathematics (from One Mathematical Cat, Please! by Carol Burns Fisher) T The Language and Grammar of Mathematics Mathematics in the Modern World by Aufmann et al.

  

Quiz Recitation Seatwork



WEEK 6: Prelim Examination Page 3 |MATHEMATICS IN THE MODERN WORLD


College of Education WEEKS 7–8: Problem Solving and Reasoning Use different types of reasoning Problem Solving and Reasoning to justify statements and Inductive and Deductive Reasoning arguments made about Intuition, proof and certainty mathematics and mathematical Polya’s 4-steps in Problem Solving concepts. Problem solving strategies Write clear and logical proofs Mathematical Problems involving Patterns Solve problems involving Recreational problems using mathematics patterns and recreational problems following Polya’s four steps (s) Organize one’s methods and approaches for proving and solving problems WEEKS 9–10: Mathematics as a Tool Data Management and Statistics Use a variety of statistical tools Mathematics as a Tool to process and manage Data Management numerical data Data: Gathering and Organizing Data; Use the methods of linear Representing Data using graphs and charts; regression and correlations to Interpreting organized data predict the value of a variable Measures of Central Tendency: Mean, given certain conditions Median, Mode, Weighted Mean Advocate the use of statistical Measures of Dispersion Range, Standard data in making important Deviation and Vanance decisions Measures of Relative Position: z-scores, percentiles, Quartiles and Box-andWhiskers Plots Probabilities and Normal Distributions Linear Regression and Correlation: LeastSquares Line, Linear Correlation Coefficient







 



 











Reading and writing proofs Small-group problem solving Whole class discussions of key problems and solutions



Mathematics in the Modern World by Aufmann et al.

  

Quiz Recitation Seatwork



















Lectures Class discussions Board works




   

Quiz Recitation Seatwork Problem Sets









 



College of Education WEEK 11: Midterm Examination WEEKS 12–13: Logic Analyze information and the Logic rerlationship between Logic statement and quantifiers statements Truth tables and tautologies Determine the validity of Conditional, Biconditional and related arguments statements Determine valid conclutions Symbolic Arguments based on given assumptions Arguments and Euler diagrams Analyze electronic circuits WEEKS 14–15: The Mathematics of Graphs Analyze and solve a variety of The Mathematics of Graphs problems using graphs and the Graphs and Euler circuits graph theory Weighted Graphs Euler’s formula Graph coloring























Lectures Class discussions Board works Written exercises




   


 

























   




WEEKS 16–17: Mathematical Systems Use mathematical concepts and Mathematical Systems tools in various aspects and Modular Arithmetic endeavors in life Applications Group Theory























   


WEEK 18: Final Examination

X. COURSE REQUIREMENTS: 1. Three (3) Major Examinations 2. Quizzes 3. Recitation



College of Education 4. Group Activities 5. Project 6. Compilation 7. Seat works XI. ASSESSMENT: a. Preliminary Grading Period:

CS =

PG =

Quizzes + Recitation + Assignment/Project 3 2(CS) + Preliminary Examinations Rating 3

b. Midterm Grading Period

CS =

TR =

MG =

Quizzes + Recitation + Assignment/Project 3 2(CS) + Midterm Examinations Rating 3 2(TR) + Preliminary Grade 3



College of Education c. Final Grading Period

CS =

TR =

FG =

Quizzes + Recitation + Assignment/Project 3 2(CS) + Finals Examinations Rating 3 2(TR) + Midterm Grade 3

1. Class Standing (CS) = Includes quizzes, recitation, assignment, project, seat works/worksheets, reports, attendance 2. To change score of any number of items to percentile, use the formula

Score in Percent =

Score No. of items

× 50 + 50

Class Standing for Prelim (CSP ) = (QA + R + P)/3

Prepared by:

Noted by:

IRENE R. BILLONES Signature over Printed Name

_________________________ S Dean, College of Education


Syllabus_Mathematics in the Modern World

Recommend Documents