Ch 34: MTLE Basic Skills: Using Logic to Solve Problems

About This Chapter

If you are looking for additional tools to help you get ready for the MTLE Basic Skills exam, you can utilize this chapter. It will help you review the process of solving problems using logic.

MTLE Basic Skills: Using Logic to Solve Problems - Chapter Summary

The interactive lessons in this chapter are effective at helping you review logic-related principles and material for the MTLE Basic Skills exam. These include:

  • Logic and critical thinking
  • Different types of logical fallacies
  • Truth values, truth tables and propositions
  • Logical math connectors
  • Conditional statements
  • Logical equivalence
  • Inductive vs. deductive reasoning
  • Direct proofs
  • The proof by contradiction method

In order to develop your logic skills for the exam, go through each lesson in this chapter. They were made to help you become comfortable with the kinds of logic problems that will be on the exam. There are video tags in each lesson, which allow you to scroll through different parts. You also have access to online instructors who will help resolve any confusion you might have about topics discussed in this chapter.

9 Lessons in Chapter 34: MTLE Basic Skills: Using Logic to Solve Problems
Test your knowledge with a 30-question chapter practice test
Critical Thinking and Logic in Mathematics

1. 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.

Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice

2. Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice

Watch this video lesson to see how you can identify cases where logic is not sound. Learn the characteristic traits of hasty generalization, circular reasoning, false cause, and limited choice.

Propositions, Truth Values and Truth Tables

3. Propositions, Truth Values and Truth Tables

Watch this video lesson and learn what truth values are and what a truth table looks like. Learn how to go from a proposition to its negation and how that affects the truth values and the truth tables.

Logical Math Connectors: Conjunctions and Disjunctions

4. Logical Math Connectors: Conjunctions and Disjunctions

Watch this video lesson to learn how to identify conjunctions and disjunctions. Also learn the connectors that are used with each. Learn how you can use them to make statements.

Conditional Statements in Math

5. Conditional Statements in Math

Sometimes, what is true in the mathematical world of logic is false in the real world. Check out this lesson to learn how to identify conditional statements and how you can differentiate between what is logically true and what is true in reality.

Logic Laws: Converse, Inverse, Contrapositive & Counterexample

6. Logic Laws: Converse, Inverse, Contrapositive & Counterexample

Logical statements can be useful, but only if we are able to determine their validity. In this lesson, we'll look at the various forms of a logical statement and see how they relate to each other.

The Differences Between Inductive and Deductive Reasoning

7. The Differences Between Inductive and Deductive Reasoning

Inductive and deductive reasoning are often confused. This lesson introduces the concept of reasoning and gives you tips and tricks to keeping inductive and deductive reasoning straight.

Direct Proofs: Definition and Applications

8. Direct Proofs: Definition and Applications

In math, we can't explain that something is true just because. That's not enough. In this lesson, we'll learn to prove things using one of our most straightforward tools, the direct proof.

Proof by Contradiction: Definition & Examples

9. Proof by Contradiction: Definition & Examples

One of several different ways to prove a statement in mathematics is proof by contradiction. Learn the definition of this method and observe how it is applied to proving a statement's truth value through examples and exploration.

Chapter Practice Exam
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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