Ch 44: Mathematical Process & Perspectives

About This Chapter

Work through this chapter at your own pace to review mathematical processes and perspectives. Available at any time that's convenient, this series of engaging lessons and quizzes can help you quickly prepare for exams, complete math assignments and get extra practice solving a variety of math problems.

Mathematical Process & Perspectives - Chapter Summary

Check out this collection of simple math lessons to study concepts related to mathematical processes and perspectives. As you work through the chapter, you'll explore the types of reasoning that are typically used in math, as well as several mathematical proofs and models. You'll also see how mathematical models are used in the real world. When you're finished with the chapter, you should be able to:

  • Recognize examples of mathematical proofs
  • Differentiate between connective, inductive, deductive, formal and informal reasoning in math
  • Explain several mathematical problem solving principles
  • Evaluate a mathematical model's fit into a real-world situation
  • Assess multiple representations of a math concept
  • Understand the use of mathematical models in art, science, business and social science
  • Use a variety of representations to communicate mathematical ideas

Each lesson comes with a short quiz to help you solidify your comprehension of these math concepts. If you have any questions about the chapter concepts, feel free to reach out to our instructors at any time. To make your studying experience flexible and convenient, we've made the chapter accessible on any device that has an Internet connection.

10 Lessons in Chapter 44: Mathematical Process & Perspectives
Test your knowledge with a 30-question chapter practice test
Mathematical Proof: Definition & Examples

1. Mathematical Proof: Definition & Examples

Have you ever made a statement that someone challenged you to prove to be true? You have to explain things in a logical and indisputable way in order to do that. In this lesson, you'll learn different ways that statements can be proven in mathematics.

Reasoning in Mathematics: Connective 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.

Reasoning in Mathematics: Inductive and Deductive Reasoning

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.

Mathematical Principles for Problem Solving

4. 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.

Using Multiple Representations of a Mathematical Concept

5. Using Multiple Representations of a Mathematical Concept

Many mathematical concepts can be represented in multiple ways. Concepts include a point and its coordinates, area of a circle as a quadratic function of the radius, probability as the ratio of two areas and area of a plane as a definite integral.

How Mathematical Models are Used in Art

6. How Mathematical Models are Used in Art

In this lesson, you'll learn how math helps artists create realistic work that looks three-dimensional. You'll also learn how math is involved in photography.

How Mathematical Models are Used in Science

7. How Mathematical Models are Used in Science

Do you ever wonder how scientists make predictions? Instead of a crystal ball, they actually use mathematical models! In this lesson, learn about how these models are used in science.

How Mathematical Models are Used in Social Science

8. How Mathematical Models are Used in Social Science

In this lesson, you will learn about mathematical models and how they are used in social sciences. It explores their use in economics, sociology, political science, and history.

How Mathematical Models are Used in Business

9. How Mathematical Models are Used in Business

This lesson will help you understand mathematical models and how they are used in the context of business. You will learn various use-cases of these models in business with the help of relevant examples.

Communicating Mathematical Ideas Using a Variety of Representations

10. Communicating Mathematical Ideas Using a Variety of Representations

Many mathematical ideas can be communicated or illustrated using a variety of representations. In this lesson, we'll explore ways you can communicate ideas to your students using written, verbal and symbolic forms as well as visual aids and technology.

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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