Logic in Math: Help and Review - Videos & Lessons

About This Chapter

The Logic chapter of this College Preparatory Mathematics Help and Review course is the simplest way to master mathematical logic. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure you learn the essentials of logic.

Who's it for?

Anyone who needs help learning or mastering college preparatory math material will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn better grades. You're in the right place if you:

Have fallen behind in understanding logic and logical fallacies in math.
Need an efficient way to learn about logic.
Learn best with engaging auditory and visual tools.
Struggle with learning disabilities or learning differences, including autism and ADHD.
Experience difficulty understanding your teachers.
Missed class time and need to catch up.
Can't access extra math learning resources at school.

How it works:

Start at the beginning, or identify the topics that you need help with.
Watch and learn from fun videos, reviewing as needed.
Refer to the video transcripts to reinforce your learning.
Test your understanding of each lesson with short quizzes.
Submit questions to one of our instructors for personalized support if you need extra help.
Verify you're ready by completing the Logic chapter exam.

Why it works:

Study Efficiently: Skip what you know, review what you don't.
Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
Be Ready on Test Day: Use the Logic chapter exam to be prepared.
Get Extra Support: Ask our subject-matter experts any relevant question. They're here to help!
Study With Flexibility: Watch videos on any web-ready device.

Students will review:

In this chapter, you'll learn the answers to questions including:

How can I use the language of logic to solve math problems?
What are logical fallacies?
What are truth tables and values, and how do I use them?
How can I differentiate between conjunctions and disjunctions?
What are conditional statements?
How can I identify the counterexample, contrapositive, converse and inverse of a logical statement?

10 Lessons in Chapter 16: Logic in Math: Help and Review

Chapter Practice Test

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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.

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.

3. 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.

4. 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.

5. 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.

6. 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.

7. 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.

8. Law of Contrapositive in Math: Definition & Example

If you've ever made your way home from an unfamiliar place by backtracking your path, making left turns where you made right turns and vice versa, then you already have an idea of how the mathematical law of contraposition works.

9. What is a Paragraph Proof? - Definition & Examples

Writing proofs is an important aspect of mathematical inquiry and discovery. This lesson will discuss one method of writing proofs, the paragraph proof. We will explore some examples and provide some guiding steps you may use to write an effective paragraph proof.

10. Dominant Strategy in Game Theory: Definition & Examples

There are many ways to approach game-like challenges, especially those that involve unknowns or other human players. In this lesson, we'll discuss the 'dominant' strategy and look at examples of how you can use it.

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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Summary:

Visit the College Preparatory Mathematics: Help and Review page to learn more.

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