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Ch 32: Thinking Mathematically: NBPTS Math - Adolescence & Young Adult

About This Chapter

This Thinking Mathematically chapter includes lessons and short quizzes. The lessons are to be studied as you brush up on critical thinking and other math concepts prior to taking the National Board for Professional Teaching Standards (NBPTS) Math certification exam.

Thinking Mathematically: NBPTS Math - Adolescence & Young Adult - Chapter Summary

Our subject-matter experts developed these lessons on mathematical thinking so that you can prepare for the NBPTS Math test. The short lessons provided in this chapter can refresh your memory of things you learned previously. The chapter covers the following:

  • Learning how math connects with other disciplines
  • Examining the use of critical thinking and logic in math
  • Comparing inductive, deductive and connective reasoning in mathematics
  • Getting a handle on the three-way principle of mathematics
  • Using math principles and mathematical models for problem solving
  • The importance of mathematical thinking processes

Video lessons have run times of 5-10 minutes, and each have a quiz to verify that you understood the material. If you need to revisit any concepts, you can review the transcripts or use the video timeline tool to go right to a specific point in a video. Additionally, you can submit a question to the instructor.

9 Lessons in Chapter 32: Thinking Mathematically: NBPTS Math - Adolescence & Young Adult
Test your knowledge with a 30-question chapter practice test
Connections Between Math & Other Disciplines

1. Connections Between Math & Other Disciplines

As a math teacher, you don't have to just teach the math concepts. You can also show how these math concepts work in the real world. You can even make connections with the other classes your students are taking. Learn more in this lesson.

Logical Mathematical Intelligence: Definition & Examples

2. Logical Mathematical Intelligence: Definition & Examples

What do Albert Einstein, Sherlock Holmes, and Mark Zuckerberg all have in common? They all have logical/mathematical intelligence. Learn more about logical/mathematical intelligence from examples and test your knowledge with a quiz.

Critical Thinking and Logic in Mathematics

3. 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.

Reasoning in Mathematics: Inductive and Deductive Reasoning

4. 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

5. 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.

The Three-Way Principle of Mathematics

6. The Three-Way Principle of Mathematics

What methods are there to solve and understand mathematical problems? This lesson will review three methods to understand mathematical problems (verbal, graphical, and by example). Each will be illustrated with examples.

Mathematical Principles for Problem Solving

7. 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 Mathematical Models to Solve Problems

8. 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.

Teaching Mathematical Thinking Processes

9. Teaching Mathematical Thinking Processes

In this lesson, we will explore the Common Core State Standards mathematical practices and how they are aligned to the mathematical thinking processes. Also, explore the implementation of mathematical performance tasks and how the tasks can assist with developing the mathematical thinking processes in students.

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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Other Chapters

Other chapters within the National Board Certification Exam - Mathematics/Adolescence & Young Adulthood: Practice & Study Guide course

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