COMMISSION
ON
HIGHER
COUCATION
Republic of the Philippines
OFFICE OF THE PRESIDENT COMMISSION ON HIGHER EDUCATION
MATHEMATICS IN THE MODERN WORLD Preliminaries
Course Title
: Mathematics in the Modern World
No. of Units
: 3 units
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 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. 20, series of 2013)
Learning Outcomes
At the end of the course, the students would be able to:
Page 1 of 3
Mathematics in the Modern World
,"3"22:: 227{c©R ULRE:ཡུ"ཀཌའ:JELRE:m༞སྐཏྟཱ༐
4T ༢ LAL1PRHLE:%Y"ཀླཤm: #1L" 5-YAEE=5="སྐན་==2242. Eme====ཤན་ཏུ:LEYRLX;";!"LELEELEYEE-"#257| REEER,
Knowledge
Skills
1. Discuss and argue about the nature of mathematics, what it is, how it is expressed,
represented, and used.
2. Use different types of reasoning to justify statements and arguments made about
mathematics and mathematical concepts. 3. Discuss the language and symbols of mathematics.
4. Use a variety of statistical tools to process and manage numerical data;
5. Analyze codes and coding schemes used for identification, privacy, and security purposes;
6. Use mathematics in other areas such as finance, voting, health and medicine, business,
environment, arts and design, and
recreation.
Values
1. Appreciate the nature and uses of mathematics in everyday life.
2. Affirm honesty and integrity in the application of mathematics to various human endeavors
COURSE OUTLINE
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
II. Mathematical Language and Symbols
Core Idea: Like any language, mathematics has its own symbols, syntax and rules
III. Problem Solving and Reasoning
Core Idea: Mathematics is not just about numbers; much of it is problem solving and reasoning
Section 2. Mathematics as a Tool
1. 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
II. Part Two
1. Geometric Designs
Page 2 of 3
Mathematics in the Modern World
,Core Idea: Geometry can help enhance one's artistic prowess as well as enrich one's own culture
2. Codes
Core Idea: The utility of mathematics goes beyond the mundane. Mathematics enables the
development of codes and ciphers that are useful to individuals and to society
3. Linear Programming
4. The Mathematics of Finance
5. Apportionment and Voting
6. Logic
7. The Mathematics of Graphs
8. Mathematical Systems
Number of Hours: 3 hours every week for 18 weeks or 54 hours in a semester
Page 3 of 3
Mathematics in the Modern World
, DESENELEVIS DE PON MAR DE WAA
MATHEMATICS IN THE MODERN WORLD Learning Plan
Note: Topics that have been shaded indicate the areas or opportunities for interdisciplinarity.
Learning Outcome
1. Identify patterns in nature and regularities in the world (K)
2. Articulate the importance of
mathematics in one's
life (V)
3. Argue about the nature of mathematics, what it is, how it is expressed, represented, and used
(K)
4. Express appreciation for mathematics as a human endeavor (V)
Topic
1. Mathematics in our World
Methodology
Section 1. The Nature of Activities to do. (i) video- Activities to do. (i) video-
Mathematics
watching (ii) pair-sharing or small group sharing (iii) journal writing (iv) whole class discussion
Questions to Pose. (i) What is mathematics? (ii) Where is mathematics? (iii) What role does mathematics
play in your world?
Schedule Weeks 12
Number of hours: 4 hours
Core Idea. Mathematics is a useful way to think about nature and our world.
Patterns and Numbers in Nature and the World: the snowflake and honeycomb, tiger's stripes and
hyena's spots; the sunflower, the snail's shell flower petals, the world's population;
Some ideas to elicit and encourage. (i) Many patterns and occurrences exist in nature, in our world, in our life.
Mathematics helps makes sense of these patterns and occurrences. (ii) Mathematics is a tool to quantify,
organize, and control our world,
Resources
Required: (1) Nature's Numbers by lan Stewart or Mathematics in Nature: Modeling Patterns in the Natural
World by John A. Adam or A Mathematical Nature Walk by John A. Adam, or any book of the same
level, intent and approach
ON
HIGHER
COUCATION
Republic of the Philippines
OFFICE OF THE PRESIDENT COMMISSION ON HIGHER EDUCATION
MATHEMATICS IN THE MODERN WORLD Preliminaries
Course Title
: Mathematics in the Modern World
No. of Units
: 3 units
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 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. 20, series of 2013)
Learning Outcomes
At the end of the course, the students would be able to:
Page 1 of 3
Mathematics in the Modern World
,"3"22:: 227{c©R ULRE:ཡུ"ཀཌའ:JELRE:m༞སྐཏྟཱ༐
4T ༢ LAL1PRHLE:%Y"ཀླཤm: #1L" 5-YAEE=5="སྐན་==2242. Eme====ཤན་ཏུ:LEYRLX;";!"LELEELEYEE-"#257| REEER,
Knowledge
Skills
1. Discuss and argue about the nature of mathematics, what it is, how it is expressed,
represented, and used.
2. Use different types of reasoning to justify statements and arguments made about
mathematics and mathematical concepts. 3. Discuss the language and symbols of mathematics.
4. Use a variety of statistical tools to process and manage numerical data;
5. Analyze codes and coding schemes used for identification, privacy, and security purposes;
6. Use mathematics in other areas such as finance, voting, health and medicine, business,
environment, arts and design, and
recreation.
Values
1. Appreciate the nature and uses of mathematics in everyday life.
2. Affirm honesty and integrity in the application of mathematics to various human endeavors
COURSE OUTLINE
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
II. Mathematical Language and Symbols
Core Idea: Like any language, mathematics has its own symbols, syntax and rules
III. Problem Solving and Reasoning
Core Idea: Mathematics is not just about numbers; much of it is problem solving and reasoning
Section 2. Mathematics as a Tool
1. 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
II. Part Two
1. Geometric Designs
Page 2 of 3
Mathematics in the Modern World
,Core Idea: Geometry can help enhance one's artistic prowess as well as enrich one's own culture
2. Codes
Core Idea: The utility of mathematics goes beyond the mundane. Mathematics enables the
development of codes and ciphers that are useful to individuals and to society
3. Linear Programming
4. The Mathematics of Finance
5. Apportionment and Voting
6. Logic
7. The Mathematics of Graphs
8. Mathematical Systems
Number of Hours: 3 hours every week for 18 weeks or 54 hours in a semester
Page 3 of 3
Mathematics in the Modern World
, DESENELEVIS DE PON MAR DE WAA
MATHEMATICS IN THE MODERN WORLD Learning Plan
Note: Topics that have been shaded indicate the areas or opportunities for interdisciplinarity.
Learning Outcome
1. Identify patterns in nature and regularities in the world (K)
2. Articulate the importance of
mathematics in one's
life (V)
3. Argue about the nature of mathematics, what it is, how it is expressed, represented, and used
(K)
4. Express appreciation for mathematics as a human endeavor (V)
Topic
1. Mathematics in our World
Methodology
Section 1. The Nature of Activities to do. (i) video- Activities to do. (i) video-
Mathematics
watching (ii) pair-sharing or small group sharing (iii) journal writing (iv) whole class discussion
Questions to Pose. (i) What is mathematics? (ii) Where is mathematics? (iii) What role does mathematics
play in your world?
Schedule Weeks 12
Number of hours: 4 hours
Core Idea. Mathematics is a useful way to think about nature and our world.
Patterns and Numbers in Nature and the World: the snowflake and honeycomb, tiger's stripes and
hyena's spots; the sunflower, the snail's shell flower petals, the world's population;
Some ideas to elicit and encourage. (i) Many patterns and occurrences exist in nature, in our world, in our life.
Mathematics helps makes sense of these patterns and occurrences. (ii) Mathematics is a tool to quantify,
organize, and control our world,
Resources
Required: (1) Nature's Numbers by lan Stewart or Mathematics in Nature: Modeling Patterns in the Natural
World by John A. Adam or A Mathematical Nature Walk by John A. Adam, or any book of the same
level, intent and approach
