Ch 32: TExES Math 4-8: Mathematical Processes & Perspectives

About This Chapter

This chapter's video lessons are designed to help you enhance the skills that will be tested on the TExES Math 4-8 exam. This chapter demonstrates the fundamental knowledge of mathematical processes and perspectives you need to master for the exam.

TExES Math 4-8: Mathematical Processes & Perspectives - Chapter Summary

These lessons help you review key processes and perspectives involving the use of critical thinking, reasoning and logic in math. The videos cover the following topics to help you prepare for the TExES Math 4-8 exam:

  • Critical thinking and logic in math
  • Propositions and logical math connectors
  • Conditional statements and proofs
  • Inductive, deductive and connective reasoning in math
  • Polya's four-step problem-solving process
  • Mathematical principles for problem solving
  • Converse, inverse, contrapositive and counterexample reasoning

Let our highly-qualified instructors guide you through each topic in order to prepare you for the exam. You can jump to specific video sections using our convenient video tags. Follow along with text transcripts or use them for an alternative method of review.

TExES Math 4-8: Mathematical Processes & Perspectives - Chapter Objectives

The TExES Math 4-8 exam evaluates your knowledge and competency in teaching mathematics concepts and strategies in order to determine your readiness for middle grades licensing according to Texas state standards. The topics in this chapter are part of the Mathematical Processes and Perspectives domain (10% of the overall exam).

The assessment quizzes that accompany each lesson test your understanding of these crucial concepts, while also familiarizing you with the types of questions you'll actually see on the exam. All of the 90 questions on the exam are multiple-choice, administered either by computer or on paper.

10 Lessons in Chapter 32: TExES Math 4-8: Mathematical Processes & Perspectives
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.

Propositions, Truth Values and Truth Tables

2. 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

3. 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

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.

Reasoning in Mathematics: Connective Reasoning

7. Reasoning in Mathematics: Connective Reasoning

Connective reasoning is reasoning that has an operation, or a way to connect two phrases. The five main logic connectives will be reviewed in this lesson.

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.

Polya's Four-Step Problem-Solving Process

9. 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.

Mathematical Principles for Problem Solving

10. 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.

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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