About This Chapter
MTLE Elementary Education: Mathematical Reasoning & Processes - Chapter Summary
This chapter covers many topics relevant to the mathematics portion of the MTLE Elementary Education exam. Our instructors take you through the definition of a mathematical sequence and the calculation of permutations. You will study mathematical reasoning, problem solving, and the history of mathematics. The lesson quizzes and practice exam are available to help you ensure retention for the test. Other chapter topics include:
- Groups and sets in algebra
- Elements, intersections, and unions
- Math combinations
- Graph theory
- Summation notation
- Mathematical series
- Problem-solving principles and math models
- Math technology
- Critical thinking in math
The lessons in our chapters are available for as much study and review as you need. Video lessons come with written transcripts that enhance comprehension as well as timelines that allow you to access specific lesson sections quickly. Become familiar with the kinds of questions you'll find on the MTLE Elementary Education exam when you try the lesson quizzes and practice exam.
MTLE Elementary Education: Mathematical Reasoning & Processes Chapter Objectives
The computer-based MTLE Elementary Education exam is used in Minnesota as a teacher licensure tool. There are three subtests, which take about an hour each to complete. This chapter relates to Subtest 2, which has approximately 38 mathematics questions out of a total of 50 multiple-choice items.
1. Introduction to Groups and Sets in Algebra
As an introduction to the algebraic concepts of sets and groups, this lesson covers the difference between the two concepts and how to determine if a set is a group. To complete this lesson, we'll take a look at some practice examples.
2. Mathematical Sets: Elements, Intersections & Unions
Today we're going to explore mathematical sets, which are surprisingly simple! Sets are just collections of any objects or concepts, also known as elements, that can be related to each other through union or intersection.
3. How to Calculate a Permutation
A permutation is a method used to calculate the total outcomes of a situation where order is important. In this lesson, John will use permutations to help him organize the cards in his poker hand and order a pizza.
4. Math Combinations: Formula and Example Problems
Combinations are an arrangement of objects where order does not matter. In this lesson, the coach of the Wildcats basketball team uses combinations to help his team prepare for the upcoming season.
5. Introduction to Graph Theory
After watching this video lesson, you will understand what graph theory is. You will also see what a graph looks like and be introduced to the basic vocabulary used in graph theory.
6. What is a Mathematical Sequence?
Math is often the most fun when it acts like a puzzle to be solved. The branch of math where this is the most true involves sequences. Get an introduction to the basics and important vocabulary, as well as learn where sequences appear in nature!
7. Summation Notation and Mathematical Series
The capital Greek letter sigma might be most recognizable as a common symbol in a fraternity or sorority, but it's used for some pretty cool math tricks too. In this lesson, learn how to use sigma for things like determining how many seats are in Michigan Stadium.
8. 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.
9. 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.
10. 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.
11. Using Mathematical Models to Solve Problems
Mathematical modelling 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.
12. Historical Development of Mathematics
This lesson gives a brief overview of the historical development of mathematics from pre-historic times to today. Math is a truly international creation with significant contributions from Africa, Asia, and Europe.
13. Math Technology in the Classroom
Teachers use lots of tools to keep students engaged and active learners. Math class is no exception, and technology is a great way to hook learners. This lesson examines how math technology can be used in pre-K through 12 classrooms.
14. 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.
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Other chapters within the MTLE Elementary Education: Practice & Study Guide course
- MTLE Elementary Education: Literacy Development
- MTLE Elementary Education: Print Awareness
- MTLE Elementary Education: Phonics & Fluency
- MTLE Elementary Education: Vocabulary
- MTLE Elementary Education: Reading Comprehension
- MTLE Elementary Education: Literature & Analysis
- MTLE Elementary Education: Language Conventions
- MTLE Elementary Education: Writing Skills
- MTLE Elementary Education: Communication Skills & Media Literacy
- MTLE Elementary Education: Assessments
- MTLE Elementary Education: Instructional Strategies
- MTLE Elementary Education: Numbers & Operation
- MTLE Elementary Education: Patterns & Functions
- MTLE Elementary Education: Geometry & Measurement
- MTLE Elementary Education: Data Analysis
- MTLE Elementary Education: Health & Fitness
- MTLE Elementary Education: Fine Arts
- MTLE Elementary Education: Scientific Inquiry
- MTLE Elementary Education: Physical Science
- MTLE Elementary Education: Life Science
- MTLE Elementary Education: Earth & Space Science
- MTLE Elementary Education: Social Studies Skills
- MTLE Elementary Education: Early Civilizations
- MTLE Elementary Education: Settling North America
- MTLE Elementary Education: The Revolutionary War
- MTLE Elementary Education: Westward Expansion
- MTLE Elementary Education: The American Civil War
- MTLE Elementary Education: The Industrial Revolution
- MTLE Elementary Education: 20th Century to Today
- MTLE Elementary Education: Geography
- MTLE Elementary Education: Citizenship & Government
- MTLE Elementary Education: Economics
- MTLE Elementary Education Flashcards