About This Chapter
Teaching Critical Thinking, Logic & Reasoning in Math - Chapter Summary
In these lessons, our instructors walk you through different techniques for helping students develop their ability to think critically and solve problems using logic and reasoning. You'll examine:
- Types of reasoning instruction
- Problem-based learning
- Higher order thinking questions
- The use of logic in math, including conditional statements and direct proofs
Our instructors have developed lessons that illustrate the material in a coherent and interesting manner. You'll have the opportunity to take self-assessment quizzes along the way to apply what you've learned. At the end of the chapter, take a cumulative exam to test your knowledge of the topics.
How It Helps
- Promotes insight: You'll discover exactly what types of problems support the learning of logic, reasoning and critical thinking.
- Provides strategies: The lessons are full of different techniques you can implement in your classroom to foster these skills.
- Enhances student's skills: Implementing these strategies into your curriculum could have a positive impact on student performance.
By the end of this chapter, you will be able to:
- Apply methods for teaching reasoning
- Assist students in using direct proofs to solve math problems
- Lead activities that involve the problem-based learning theory
- Use strategies for teaching students ways to look for logic in math
- Teach students how to use conditional statements when problem-solving
- Create higher order thinking questions
1. Teaching Reasoning in Math: Types & Methods
This lesson will introduce several types of reasoning, including: connective, inductive, deductive, abstract, quantitative, and adaptive. Further, we will discuss methods for teaching students to use connective reasoning to solve mathematical problems.
2. 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.
3. Problem-Based Learning: Examples, Theory & Definition
Educators have a big task. Their job is to teach children, of course, but they also need to make learning engaging and show why it's important. Problem-Based Learning is a method that covers all of these requirements. Sound intriguing? Read on to find out what it is and why it works.
4. Problem-Based Learning Activities in Math
Math instruction has undergone many changes, and problem-based learning is one method responsible for this change. In this lesson, we will provide an overview of problem-based learning activities and show how to use them in your math classroom.
5. Teaching Students Sense-Making in Math Problems
Teaching math strategies is one of the more challenging subjects teachers face. We will identify how and why to teach students to use logical reasoning in solving math problems and identify useful tools for doing so.
6. Teaching Conditional Statements & Their Inverse, Converse & Contrapositive in Math
Conditional statements are ~'if-then~' statements. This lesson will help you with ideas for teaching these statements and their alternate forms: the inverse, converse, and contrapositive.
7. Higher Order Thinking Questions for Math Teachers
In classrooms across the country, higher order thinking questions are used on a daily basis. It can be challenging to incorporate higher order thinking questions into math instruction, but it is essential in helping students make connections to mathematical material.
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Other chapters within the Instructional Strategies for Teaching Math course
- Standards & Planning for Math Instruction
- Creating an Effective Math Learning Environment
- Instructional Strategies for Student Achievement in Math
- Student-Centered Instructional Strategies for Math
- Integrating Math with Other Disciplines
- Using Technology in the Math Classroom
- Teaching Strategies for At-Risk Math Students
- Assessing Student Learning & Providing Feedback