Understanding why Math is used

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The goal of this Mindmap is to lay out the basics of why math is used. It is geared towards adult or college aged learners on their quest for understanding the importance of Math, not just as a source of numbers, but how it translates to everyday life.

Communicating Math

Communicating Math

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Math is one form of communication that is used to express meaning and create understanding. Although we think of math as a way to help us solve problems, it is also used to 'talk' to one another.

What are some ways that math is communicated

What are some ways that math is communicated

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Let's think about the different ways that math ideas can be communicated to people.

WORDS

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Math can be described in words by descriptive words, concepts, examples, and word problems. Many words we use in our daily live can summarize a math concept such as: few, calculate, equal, less, quantify, or estimate.

GRAPHS

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Graphs are often used in the media to display a large amount of data in a way that is easy to visualize. Graphs can misrepresent data so it is important to truly understand what you are looking at.

SYMBOLS

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Math symbols are common and provide an easy method to display data. Some symbols common to us are:+=/:#()

OBJECTS

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Math objects are a visual way to display data. We start learning basic math objects at a young age when we start learning geometric shapes.

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The Use of Reasoning

Inductive Reasoning

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Inductive Reasoning is reaching conclusions from specific examples

Generalizations

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Generalizing includes making broad statements about large amounts of data.

Counterexamples can disprove

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There always seems to be an exception to the rule.

Deductive Reasoning

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Deductive Reasoning is conclusions based on facts.

Hypothesis to Conclusion

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Science often used deductive reasoning as it asks you to think about what you are experiementing on then creating the conclusion from what you learned.

The Statement is true or false, not both

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Again, science likes to see the world in black or white, in yes or no.

Conditional Statements (if.......then)

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Deductive Reasoning also likes to put in a conditional statement that applies the 'rules' to the theory.

Math as Problem Solving

Math as Problem Solving

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Math is used to understand how problems are solved.

What is a Problem?

It involves a question

The question cannot be answered immediately

The individual must accept the challenge

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You must know you are working to solve the problem, you cannot stumble upon the answer!

The Process of Problem-Solving

Understand the Problem

Develp A Plan

Implement the plan

Look back to Reflect

Tools for Problem-Solving

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We have to teach students what problem-solving is and the steps in order for them to be successful and practice them. If they are taught and practiced at a young age, they will be better equipped to use them as an adult.

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Links to Websites

Resources for teacher and parents