Ch 40: MTEL Middle School Mathematics: Logic

About This Chapter

This chapter on logic is an effective and efficient way to prepare for the related material on the MTEL Middle School Mathematics exam, with simple-to-follow video lessons taught by professional instructors designed to help you succeed.

MTEL Middle School Mathematics: Logic - Chapter Summary

This chapter goes over the various roles of logic in mathematics, with lessons touching on all the related content you'll want to be familiar with going into the exam. By the end of this chapter, you can expect to have bolstered your knowledge of:

  • Logical fallacies
  • Propositions, truth values and truth tables
  • Conditional statements in math
  • Logical equivalence
  • Reasoning in mathematics
  • Mathematical principles for problem-solving
  • Solving problems using estimation and mathematical models
  • Critical thinking and logic in mathematics

Using the dashboard feature, you'll be able to monitor your progress and get a quick view of your recent activity. While there, you can also find links to relevant quizzes and courses and ask questions of our subject experts if you find yourself stuck on any given topic within the chapter.

11 Lessons in Chapter 40: MTEL Middle School Mathematics: Logic
Test your knowledge with a 30-question chapter practice test
Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice

1. 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.

Logical Fallacies: Appeals to Ignorance, Emotion or Popularity

2. Logical Fallacies: Appeals to Ignorance, Emotion or Popularity

Watch this video lesson to see examples of the logical fallacies of appeals to ignorance, emotion, and popularity. You will also see how to identify them.

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.

Conditional Statements in Math

4. 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

5. 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.

Reasoning in Mathematics: Inductive and Deductive Reasoning

6. 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.

Mathematical Principles for Problem Solving

7. Mathematical Principles for Problem Solving

Solving problems is not just a simple, straightforward process. There are a few principles that can help you as you approach any problem solving scenarios. This lesson covers those principles with examples.

The Three-Way Principle of Mathematics

8. 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.

Solving Mathematical Problems Using Estimation

9. Solving Mathematical Problems Using Estimation

Estimating is a method of calculating a result that is close to, but not exactly, the correct answer to a math problem. Why would you ever need to do this? This lesson reviews estimating and answers the question as to why you would do it.

Using Mathematical Models to Solve Problems

10. Using Mathematical Models to Solve Problems

Mathematical modeling simply refers to the creation of mathematical formulas to represent a real world problem in mathematical terms. This lesson reviews the creation and pitfalls of mathematical models.

Critical Thinking and Logic in Mathematics

11. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter 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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Other Chapters

Other chapters within the MTEL Mathematics (Middle School)(47): Practice & Study Guide course

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