Ch 2: Logic in Mathematics: Tutoring Solution

About This Chapter

The Logic in Mathematics chapter of this High School Geometry Tutoring Solution is a flexible and affordable path to learning about critical thinking and logic in mathematics. These simple and fun video lessons are each about five minutes long and they teach all of the concepts and operations involving logic in mathematics required in a typical high school geometry course.

How it works:

  • Begin your assignment or other high school geometry work.
  • Identify the logic in mathematics concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our high school geometry tutoring solution will benefit any student who is trying to learn logic in mathematics and earn better grades. This resource can help students including those who:

  • Struggle with understanding logical fallacies, conditional statements in math, logical equivalence or any other logic in mathematics topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their logic in mathematics unit
  • Cope with ADD or ADHD
  • Want to get ahead in high school geometry
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning logic in mathematics simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live algebra tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn logic in mathematics on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning objectives

  • Use logic, argument and critical thinking when solving mathematical problems.
  • Study logical fallacies such as hasty generalization, false cause and circular reasoning as well as appeals to emotion, ignorance and popularity.
  • Identify propositions and learn about truth values and truth tables.
  • Use connectors to combine mathematical statements.
  • Recognize and make conditional mathematics statements.
  • Define direct and geometric proofs.

10 Lessons in Chapter 2: Logic in Mathematics: Tutoring Solution
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.

Logical Fallacies: Appeals to Ignorance, Emotion or Popularity

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.

Propositions, Truth Values and Truth Tables

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.

Logical Math Connectors: Conjunctions and Disjunctions

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.

Conditional Statements in Math

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.

Logic Laws: Converse, Inverse, Contrapositive & Counterexample

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.

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.

Geometric Proofs: Definition and Format

9. Geometric Proofs: Definition and Format

Do you have something to prove? Can you explain why? In this lesson, we'll learn all about geometric proofs, including the parts that comprise a proof.

Logical Argument: Definition, Parts & Examples

10. Logical Argument: Definition, Parts & Examples

Logic, the process from which logical argument stems, is the basis upon which current theories of our world are built. In this lesson, we will explore the concepts relevant to a logical argument by examining the process through examples.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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