# Ch 1: Overview of Mathematical Reasoning

Use this chapter to review the foundations of mathematical reasoning. The engaging lessons cover the history of mathematics as well as topics in logic and math concepts to help you boost your middle grades math knowledge.

## Overview of Mathematical Reasoning - Chapter Summary

The study materials in this chapter were designed to help you study the historical development of mathematics and the basic topics that make up mathematical practice and theory. For example, you can review how communicating mathematical ideas is done using a variety of representations and see how to draw connections between mathematical concepts and procedures. Additional lessons look at various kinds of reasoning in math, as well as the role of both critical thinking and logic. By the end of this chapter, you could be able to:

• Explain inductive, deductive, and connective reasoning
• Define propositions, truth values, and truth tables
• Understand logical math connectors, such as conjunctions and disjunctions
• Explain conditional statements in math
• Discuss logic laws, including converse, inverse, contrapositive, and counterexample

Each lesson is presented with your success in mind. You can go through them at your own pace, using the aspects of the lesson that are most in line with your learning nature. Be sure to test your knowledge using the self-check quizzes that were designed to help you prepare to be successful on your exam.

10 Lessons in Chapter 1: Overview of Mathematical Reasoning
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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