About This Chapter
Basic Elements of Mathematics - Chapter Summary
Understanding the basic elements of math is vital before moving on to more advanced problems in the subject. If your mathematics skills are a little rusty, this chapter's video lessons can refresh your memory of how to use different types of reasoning to solve problems and how to break down word problems.
You'll also take a look at the importance of language skills in mathematics and how math skills are necessary in everyday life. Once you finish this chapter, you'll be able to:
- Write arithmetic expressions
- Distinguish between inductive and deductive reasoning
- Give examples of connective reasoning
- Explain how to use logic and critical thinking in math
- Restate and solve word problems
- Use personalization to better understand word problems
- Convert math sentences into inequalities
- Describe how language skills apply to math
With our video lessons, you can strengthen your math knowledge and skills wherever you have access to a computer or mobile device. Professional instructors use numerous examples and sample problems to help you grasp the material in this chapter. We provide lesson transcripts and self-assessment lesson quizzes, as well, to enhance your study sessions.
1. What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions
When it comes to solving math word problems, there is a correct way of setting up the problem and labeling the various parts of the problem so that you can solve the problem easily. Watch this video lesson to learn how you can do it.
2. 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.
3. 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.
4. Critical Thinking and Logic in Mathematics
Logic has its own unique language and way of defining what is true and false. Watch this video lesson to learn how you can critically think in the language of logic while working with math.
5. Solving Word Problems: Steps & Examples
Watch this video lesson to learn how you can solve word problems by following this 3-step process. Learn how to visualize your problem so you fully understand it. Then learn how to write and solve your equations.
6. 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.
7. Personalizing a Word Problem to Increase Understanding
When it comes to word problems, being able to personalize a word problem with more familiar situations will help you a lot in your problem solving. Watch this video lesson to learn how you can restate the word problem in terms you understand.
8. Translating Math Sentences to Inequalities
Watch this video lesson to learn how you can easily translate math sentences into inequalities. Once you know how to do this, solving word problems becomes that much easier.
9. How Language Skills Apply to Mathematics
Just because you are learning math does not mean that you can totally skimp on your language skills. In this lesson, you'll learn that improving in your language skills can actually help improve your math skills as well.
10. Using Math in Everyday Life
While not everyone loves math, it is extremely useful. Learn about just a few of the dozens of ways that math can be used in everyday life: for money matters, to improve decision-making, and in many other little ways.
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