# Ch 6: TExMaT Master Mathematics Teacher 8-12: Reasoning & Problem Solving

### About This Chapter

## TExMaT Master Mathematics Teacher 8-12: Reasoning and Problem Solving - Chapter Summary

Use this chapter's videos to expand your comprehension of deductive and inductive reasoning and to increase your ability to use mathematical modeling before taking the TExMaT Master Mathematics Teacher 8-12 test. You can review several problem-solving principles and brush up on some of the reasons you might use estimation to solve problems. Watch the video lessons so that you can:

- Define and provide examples of inductive, deductive and connective reasoning
- Correctly utilize five problem-solving concepts
- Use estimation and recognize estimation symbols
- Explain mathematical modeling and identify its drawbacks

Watch the videos and recollect the reasoning and problem-solving strategies that can help you answer applicable questions on the TExMaT Master Mathematics Teacher 8-12 examination. Focus on the topics you need to brush up on by using the video tags or consulting the text transcripts. You may also ask questions about reasoning and problem solving and take the lesson quizzes that measure your progress.

### TExMaT Master Mathematics Teacher 8-12: Reasoning and Problem Solving Chapter Objectives

Adding up to 16% of the overall score, the 'Number Concepts' section of the TExMaT Master Mathematics Teacher 8-12 examination is where you may need to apply the concepts you revisited in this chapter. There are 90 multiple-choice questions and one case study assignment to be completed during the five-hour examination. The test is administered on paper.

### 1. 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.

### 2. 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.

### 3. 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.

### 4. Solving Problems With the Guess, Check & Revise Method

In this lesson, we will look at how to solve problems using the guess, check, and revise method in mathematics. Through examples, we will look at each step involved and see exactly how this process works.

### 5. Solving Mathematical Problems Using Estimation

Estimating is a method of calculating a result that is close to, but not exactly, the correct answer to a math problem. Why would you ever need to do this? This lesson reviews estimating and answers the question as to why you would do it.

### 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

Other chapters within the TExMaT Master Mathematics Teacher 8-12 (089): Practice & Study Guide course

- TExMaT Master Mathematics Teacher 8-12: Properties of Real Numbers
- TExMaT Master Mathematics Teacher 8-12: Fractions
- TExMaT Master Mathematics Teacher 8-12: Decimals & Percents
- TExMaT Master Mathematics Teacher 8-12: Ratios & Proportions
- TExMaT Master Mathematics Teacher 8-12: Measurements & Conversions
- TExMaT Master Mathematics Teacher 8-12: Vector Operations
- TExMaT Master Mathematics Teacher 8-12: Matrices & Determinants
- TExMaT Master Mathematics Teacher 8-12: Exponents & Exponential Expressions
- TExMaT Master Mathematics Teacher 8-12: Algebraic Expressions
- TExMaT Master Mathematics Teacher 8-12: Linear Equations
- TExMaT Master Mathematics Teacher 8-12: Inequalities
- TExMaT Master Mathematics Teacher 8-12: Absolute Value Problems
- TExMaT Master Mathematics Teacher 8-12: Quadratic Equations
- TExMaT Master Mathematics Teacher 8-12: Polynomials
- TExMaT Master Mathematics Teacher 8-12: Rational Expressions
- TExMaT Master Mathematics Teacher 8-12: Radical Expressions
- TExMaT Master Mathematics Teacher 8-12: Systems of Equations
- TExMaT Master Mathematics Teacher 8-12: Complex Numbers
- TExMaT Master Mathematics Teacher 8-12: Functions
- TExMaT Master Mathematics Teacher 8-12: Piecewise Functions
- TExMaT Master Mathematics Teacher 8-12: Parametric Equations
- TExMaT Master Mathematics Teacher 8-12: Exponential & Logarithmic Functions
- TExMaT Master Mathematics Teacher 8-12: Continuity of Functions
- TExMaT Master Mathematics Teacher 8-12: Limits
- TExMaT Master Mathematics Teacher 8-12: Rate of Change
- TExMaT Master Mathematics Teacher 8-12: Rules for Calculating Derivatives
- TExMaT Master Mathematics Teacher 8-12: Graphing Derivatives
- TExMaT Master Mathematics Teacher 8-12: Applications of Derivatives
- TExMaT Master Mathematics Teacher 8-12: Area Under the Curve & Integrals
- TExMaT Master Mathematics Teacher 8-12: Integration Techniques
- TExMaT Master Mathematics Teacher 8-12: Integration Applications
- TExMaT Master Mathematics Teacher 8-12: Foundations of Geometry
- TExMaT Master Mathematics Teacher 8-12: Geometric Figures
- TExMaT Master Mathematics Teacher 8-12: Properties of Triangles
- TExMaT Master Mathematics Teacher 8-12: Triangle Theorems & Proofs
- TExMaT Master Mathematics Teacher 8-12: Parallel Lines & Polygons
- TExMaT Master Mathematics Teacher 8-12: Quadrilaterals
- TExMaT Master Mathematics Teacher 8-12: Circular Arcs & Circles
- TExMaT Master Mathematics Teacher 8-12: Conic Sections
- TExMaT Master Mathematics Teacher 8-12: Geometric Solids
- TExMaT Master Mathematics Teacher 8-12: Analytical Geometry
- TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions
- TExMaT Master Mathematics Teacher 8-12: Trigonometric Graphs
- TExMaT Master Mathematics Teacher 8-12: Solving Trigonometric Equations
- TExMaT Master Mathematics Teacher 8-12: Trigonometric Identities
- TExMaT Master Mathematics Teacher 8-12: Sequences & Series
- TExMaT Master Mathematics Teacher 8-12: Data & Statistics
- TExMaT Master Mathematics Teacher 8-12: Summarizing Data
- TExMaT Master Mathematics Teacher 8-12: Tables & Plots
- TExMaT Master Mathematics Teacher 8-12: Probability
- TExMaT Master Mathematics Teacher 8-12: Discrete Probability Distributions
- TExMaT Master Mathematics Teacher 8-12: Continuous Probability Distributions
- TExMaT Master Mathematics Teacher 8-12: Sampling
- TExMaT Master Mathematics Teacher 8-12: Hypothesis Testing
- TExMaT Master Mathematics Teacher 8-12: Regression & Correlation
- TExMaT Master Mathematics Teacher 8-12 Flashcards