About This Chapter
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.
- 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.
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. 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.
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.
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.
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Other chapters within the High School Geometry: Tutoring Solution course
- Foundations of Geometry: Tutoring Solution
- Introduction to Geometric Figures: Tutoring Solution
- Properties of Triangles: Tutoring Solution
- Triangles, Theorems and Proofs: Tutoring Solution
- Parallel Lines and Polygons: Tutoring Solution
- Similar Polygons: Tutoring Solution
- Quadrilaterals: Tutoring Solution
- Symmetry, Similarity and Congruence
- Circular Arcs and Circles: Tutoring Solution
- Conic Sections: Tutoring Solution
- Geometric Solids: Tutoring Solution
- Analytical Geometry: Tutoring Solution
- Introduction to Trigonometry: Tutoring Solution