About This Chapter
TECEP Liberal Arts Math: Critical Thinking - Chapter Summary
Study this chapter's lessons to practice and improve your critical thinking, reasoning and problem solving skills in math. These lessons are designed to prepare you for the TECEP Liberal Arts Math test. The chapter covers exam questions that require the following skills:
- Applying critical thinking and logic to math
- Understanding inductive and deductive reasoning in relation to mathematics
- Using Polya's four-step process to solve problems
- Solving problems using mathematical principles
- Finding solutions to math problems using mathematical models
The expert instructors in this chapter will walk you through several illustrative examples that demonstrate critical thinking skills and you can practice them by taking the included self-assessment quizzes. Strengthening these skills will help you solve math problems with ease and perform well on the exam.
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2. 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.
3. 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.
4. Polya's Four-Step Problem-Solving Process
Problem solving can be a problem. Any problem is solved easier with an action plan. Polya's 4-Step Problem-Solving Process is discussed in this lesson to help students develop an action plan for addressing problems.
5. 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.
6. 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.
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Other chapters within the TECEP Applied Liberal Arts Mathematics: Study Guide & Test Prep course
- TECEP Liberal Arts Math: Sets
- TECEP Liberal Arts Math: Mathematical Statements
- TECEP Liberal Arts Math: Numeration Systems
- TECEP Liberal Arts Math: Real Number Systems
- TECEP Liberal Arts Math: Divisibility Rules
- TECEP Liberal Arts Math: Fractions
- TECEP Liberal Arts Math: Simplifying Expressions
- TECEP Liberal Arts Math: Solving Equations
- TECEP Liberal Arts Math: Graphs & Functions
- TECEP Liberal Arts Math: Metric System & Conversions
- TECEP Liberal Arts Math: Geometry
- TECEP Liberal Arts Math: Probability & Statistics
- TECEP Applied Liberal Arts Mathematics Flashcards