About This Chapter
Mathematical Representation & Communication - Chapter Summary
The lessons in this chapter were assembled to help you reinforce your knowledge of the different terminology and symbols use to communicate mathematical problems, as well as the three-way principle of mathematics and mathematical reasoning. These mobile device compatible lessons were composed by our professional instructors to provide you with an effective and mobile way to study:
- Mathematical symbols and their meanings
- Concepts and notations used in mathematical terminology
- Verbal, graphical, and example methods used to solve mathematical problems
- How to restate word problems
- Inductive and deductive reasoning
- Connective reasoning
After each lesson, you will have a chance to test your knowledge regarding mathematical representations and communications by taking the lesson's quiz. After these short assessments, be sure to return to the lessons to fortify your understanding of the material and the topics you missed. If you have any questions about these lessons or assessments, use the help tabs of the lessons to ask our instructors for assistance.
1. Mathematical Symbols: List & Meanings
We need to know the meanings and usages of mathematical symbols, just like we need to know the meanings and usages of technical terms in any subject we are studying. We'll try to organize them in a meaningful way and look at a few examples.
2. Mathematical Terminology, Concepts & Notation
Have you ever thought that math was too hard to understand, or ever made the statement, ''I just don't get it?'' Maybe the trouble is you don't understand the language. This lesson will break down some of the language of math's most common words and translate it to 'English' for you.
3. The Three-Way Principle of Mathematics
What methods are there to solve and understand mathematical problems? This lesson will review three methods to understand mathematical problems (verbal, graphical, and by example). Each will be illustrated with examples.
4. Restating Word Problems Using Words or Images
Watch this video lesson to learn how you can use sketches and notes to help you visualize a problem. Watch how easy it becomes to solve your problem once you have visualized it.
5. Reasoning in Mathematics: Inductive and Deductive Reasoning
Many people think that deductive and inductive reasoning are the same thing. It is assumed these words are synonymous. They are not. This lesson reveals the reality of these two types of reasoning.
6. Reasoning in Mathematics: Connective Reasoning
Connective reasoning is reasoning that has an operation, or a way to connect two phrases. The five main logic connectives will be reviewed in this lesson.
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