MATH 2ND SEMESTER

MATHEMATICS IS A SCIENCE OF DISCOVERY

Mathematics give an easy and early opportunity to make independent discoveries. It is the discovery of relationships and the expression of those relationships in symbolic form.

MATHEMATICS IS AN INTELLECTUAL GAME

Mathematics is mainly a matter of puzzles, paradoxes, and problem solving.

MATHEMATICS IS A TOOL SUBJECT

Mathematics has its integrity, its beauty, its structure and many other features that relate to mathematics as an end in itself.

MATHEMATICS INVOLVES AN INTUITIVE METHOD

The first step in the learning of any mathematical subject is the development of intuition. This must come before rules are stated or formal operations are introduced.

MATHEMATICS HAS ITS OWN LANGUAGE AND SYMBOLS

The language for communication of mathematical ideas is largely in terms of symbols and words which everybody cannot understand.

MATHEMATICS IS AN ABSTRACT SCIENCE

Mathematical concepts are abstract in the sense that they cannot be seen or felt in the physical world.

MATHEMATICS IS LOGIC

Logic is an important factor in mathematics; it governs the pattern of deductive proof through which mathematics is developed.

MATHEMATICS DEALS WITH ART OF DRAWING CONCLUSIONS

In mathematics the conclusions are certain and definite. Therefore, the learner can check the correct solutions.

Patterns and Numbers in Nature and the World

In the general sense of the world, patterns are regular, repeated or recurring forms or designs. We see patterns everyday- from the layout of floor tiles, designs of skyscrapers, to the way we tie our shoelaces.

Mathematics and Patterns

On top of the early human’s need a describe quantity, they also needed a language to describe and predict patterns in nature. The Ishango bone, for example, was an early mathematical exercise to count the cycle of lunar phases as they relate to.

The menstrual cycle of adult women.

What reason compelled ancient people of Ishango to track the menstruation cycle? We cannot ever answer this with complete satisfaction, but we can make intelligent guesses based on our observations of people’s cultural beliefs about menstruation in present day societies.

Honeycomb

Nest built by bees. It is made from beeswax, and is composed of cells in the shape of hexagon, sometimes pentagon or heptagon.

Snowflake

A feathery snow crystal which nucleated from dust particles suspended in the atmosphere. Molecules in ice crystals join to form hexagonal structure, which is then repeated as the crystal accumulate more crystals and grow in size.

Tiger Stripes

in general, evenly spaced and perpendicular to the spine. The stripes help with camouflage, they allow the tiger to blend with its environment.

Hyena’s spots

are shaped and distributed in a pattern that helps also with camouflage.

Sunflower

displays many patterns, the most prominent among them are intersecting families of spirals.

Snail’s shell

The snail’s shell has the shape of a spiral. The radius of the shell increases in length as the mollusk grow inside the shell.

Flower’s Petal

a flower are observed to follow the following pattern: 3,5,8,13…. Which are numbers found in Fibonacci Sequence.

Weather Patterns

is observed to repeat a pattern for days, weeks, or months after which is a new weather is sets in. this sequence of weather patterns produces a cycle, such as, dry monsoon seasons, summer-autumn-winter-spring seasons, habagat-amihan wind patterns etc.

Human Populations

The demographic distribution of people in human populations is observed to follow a pattern. Poor nations display a pyramid shaped demography with the young occupying a prominently large section of the population. But as a nation progresses economically, the base thins out in favor of the older segments of the population.

Human Productivity

many organizations is observed to follow the 80:20 percent rule. Twenty percent of the members produce 80% of the organization’s total output. For Example, in a complete line up of 15 players in a basketball team, 3 players make 80% of the team’s total points in a game. In a sales force of 50 agents who made 1 million pesos total sales, 0.8 million pesos was brought in by 10 agents. The rest managed to bring only 0.2 million pesos.

COOKING

we need to measure the ingredients in terms of tablespoons, teaspoons, ounce, gram, kilograms etc. Messing up with the measurements can result in disastrous meals.

DIET

People who are overweight need to be conscious of their calorie intake. Especially if they are on special weight loss, diet knowledge of math is needed to calculate the total amount of calories consumed in a day.

BANKING

is probably the one place where math is used more than anywhere else. No one without basic knowledge about math can’t do anything in a bank.

ARTS

Math is also used by artists while making paintings, designing collages as well as during dance performances. In all these cases the size of the stage, etc play a very important role and deciding all these aspects is literally impossible without the knowledge of math.

SHOPPING

This is probably the most common use of math in which we make a list of things. We need to buy as well as make payments in the end.

GARDENING

For planning to sow seeds count the number of plants everything requires numbers. All tasks carried out inside a garden require proper measurements.