Mat 150
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syllabus_MAT-150-O501-20211206.pdf
Last Updated: Dec 7, 2021, 8:21 AM
Mathematics for Elementary Teachers I
MAT-150 4 Credits Dec 6, 2021 - Feb 6, 2022
Course Description
This is the first in a two-course sequence designed for prospective elementary school teachers. Concepts include set theory, functions, numeration systems, number theory and properties of the natural numbers, integers, rational numbers, ratios, proportions, decimals, and percents, with an emphasis on problem solving and critical thinking.
Instructor Contact Information
Laramie Paxton [email protected]
Class Resources
MAT-150 Supplemental Discussion Questions
LopesWrite
Refer to the LopesWrite webpage for guidance regarding assignments requiring submission to LopesWrite.
https://support.gcu.edu/hc/en-us/articles/201277380-LopesWrite
MAT-150 Course Revision History (ONLINE)
An Introduction to ALEKS
Watch the video for a tutorial on what students can expect with ALEKS.
https://www.youtube.com/watch?v=gAZsiZIEeLA&t
ALEKS for MAT-150
Page 1 Grand Canyon University 2021 © Prepared on: Dec 7, 2021
ALEKS is the learning management system where you will perform much of your work for this course. You will use the link below to enter the ALEKS system and access most of your assignments for this course. Be sure to read the "Getting Started with ALEKS" document in the Course Materials for directions on how to register for ALEKS.
What is ALEKS?
ALEKS stands for Assessment and LEarning in Knowledge Spaces. ALEKS is an adaptive learning program that is unlike any other homework system. Think of it as a human tutor designed to help you learn math. ALEKS uses artificial intelligence to determine what you know and don’t know in a course. ALEKS then creates an individualized learning plan that guides you to work on material that you are ready to learn.
ALEKS Technical Support
ALEKS Technical Support Hours (Eastern Time)
Sunday: 4pm – 1amMonday – Thursday: 7am – 1amFriday: 7am – 9pm
Contact Support: http://support.aleks.com
http://support.aleks.com
MAT150 Math Help Links
Use the following links as additional resources to help with completing the homework assignments and studying for exams.
Topic 1: Problem Solving and Numeration Systems
Dec 6, 2021 - Dec 12, 2021 Max Points: 80
Resources
Assessments
Class Introductions Start Date & Time Due Date & Time Points
Dec 6, 2021, 12:00 AM Dec 8, 2021, 11:59 PM 0
Page 2 Grand Canyon University 2021 © Prepared on: Dec 7, 2021
Take a moment to explore your new classroom and introduce yourself to your fellow classmates. What are you excited about learning? What do you think will be most challenging?
Topic 1 Homework Start Date & Time Due Date & Time Points
Dec 6, 2021, 12:00 AM Dec 12, 2021, 11:59 PM 20
Complete Topic 1 Homework in ALEKS.
Topic 1 Quiz Start Date & Time Due Date & Time Points
Dec 6, 2021, 12:00 AM Dec 12, 2021, 11:59 PM 30
Complete Topic 1 Quiz in ALEKS.
Topic 1 DQ 1 Start Date & Time Due Date & Time Points
Dec 6, 2021, 12:00 AM Dec 8, 2021, 11:59 PM 5
In your own words, describe the basic four-step problem-solving procedure. Explain why each step is important. Create a simple problem that could be used in a classroom and demonstrate how you would use each of the four steps to solve this problem. How would you teach this process in the classroom?
Topic 1 DQ 2 Start Date & Time Due Date & Time Points
Dec 6, 2021, 12:00 AM Dec 10, 2021, 11:59 PM 5
Explain the difference between inductive and deductive reasoning. Create an example and use inductive reasoning to arrive at a general conclusion, and then prove your conclusion is true by using deductive reasoning.
Topic 1 Participation Start Date & Time Due Date & Time Points
Dec 6, 2021, 12:00 AM Dec 12, 2021, 11:59 PM 20
Topic 2: Set Theory and Logic
Dec 13, 2021 - Dec 19, 2021 Max Points: 160
Resources
Page 3 Grand Canyon University 2021 © Prepared on: Dec 7, 2021
Assessments
Topic 2 Homework Start Date & Time Due Date & Time Points
Dec 13, 2021, 12:00 AM Dec 19, 2021, 11:59 PM 20
Complete Topic 2 Homework in ALEKS.
Topic 2 Quiz Start Date & Time Due Date & Time Points
Dec 13, 2021, 12:00 AM Dec 19, 2021, 11:59 PM 30
Complete Topic 2 Quiz in ALEKS.
Project 1 - Multiple Ways to Teach a Concept Start Date & Time Due Date & Time Points
Dec 13, 2021, 12:00 AM Dec 19, 2021, 11:59 PM 80
An important quality in a good math teacher is the ability to help students form connections with the subject. Teachers must make sure students understand the concepts rather than just memorizing the steps. Not all students think alike so it is important that a teacher can explain things in multiple ways to ensure all students can learn.
Complete the attached “Project 1-Multiple Ways to Teach a Concept: Video Links Template 1” and submit to Instructor.
Topic 2 DQ 1 Start Date & Time Due Date & Time Points
Dec 13, 2021, 12:00 AM Dec 15, 2021, 11:59 PM 5
Explain, in your own words, how the concepts of equivalent sets, one-to-one correspondence, equal sets, and subsets have applications in everyday life. Why is it important for students to have a basic understanding of these fundamental concepts?
Topic 2 DQ 2 Start Date & Time Due Date & Time Points
Dec 13, 2021, 12:00 AM Dec 17, 2021, 11:59 PM 5
Define the term statement in your own words. How can you decide if two statements are logically equivalent? Is a statement always logically equivalent to its converse? Explain.
Topic 2 Participation Page 4 Grand Canyon University 2021 © Prepared on: Dec 7, 2021
Start Date & Time Due Date & Time Points
Dec 13, 2021, 12:00 AM Dec 19, 2021, 11:59 PM 20
Topic 3: Natural Numbers, Whole Numbers and Integers
Jan 3, 2022 - Jan 9, 2022 Max Points: 205
Resources
Assessments
Topic 3 Homework Start Date & Time Due Date & Time Points
Jan 3, 2022, 12:00 AM Jan 9, 2022, 11:59 PM 20
Complete Topic 3 Homework in ALEKS.
Topic 3 Quiz Start Date & Time Due Date & Time Points
Jan 3, 2022, 12:00 AM Jan 9, 2022, 11:59 PM 30
Complete Topic 3 Quiz in ALEKS.
Practice Exam 1 Start Date & Time Due Date & Time Points
Jan 3, 2022, 12:00 AM Jan 9, 2022, 11:59 PM 25
Complete Practice Exam 1 in ALEKS.
Exam 1 Start Date & Time Due Date & Time Points
Jan 3, 2022, 12:00 AM Jan 9, 2022, 11:59 PM 100
Complete the Unit 1 Exam in ALEKS. The exam will cover the material from chapters 1, 2, 3, and 4.
Topic 3 DQ 1 Start Date & Time Due Date & Time Points
Jan 3, 2022, 12:00 AM Jan 5, 2022, 11:59 PM 5
Page 5 Grand Canyon University 2021 © Prepared on: Dec 7, 2021
In your own words, explain how prime factorization is useful to find the greatest common factor and least common multiple.
Topic 3 DQ 2 Start Date & Time Due Date & Time Points
Jan 3, 2022, 12:00 AM Jan 7, 2022, 11:59 PM 5
Describe the set of natural numbers in your own words. What is the difference between a prime number and a composite number?
Topic 3 Participation Start Date & Time Due Date & Time Points
Jan 3, 2022, 12:00 AM Jan 9, 2022, 11:59 PM 20
Topic 4: Rational and Irrational Numbers
Jan 10, 2022 - Jan 16, 2022 Max Points: 80
Resources
Assessments
Topic 4 Homework Start Date & Time Due Date & Time Points
Jan 10, 2022, 12:00 AM Jan 16, 2022, 11:59 PM 20
Complete Topic 4 Homework in ALEKS.
Topic 4 Quiz Start Date & Time Due Date & Time Points
Jan 10, 2022, 12:00 AM Jan 16, 2022, 11:59 PM 30
Complete Topic 4 Quiz in ALEKS.
Topic 4 DQ 1 Start Date & Time Due Date & Time Points
Jan 10, 2022, 12:00 AM Jan 12, 2022, 11:59 PM 5
What are equivalent fractions? Explain how two fractions can be equivalent. Give practical examples of fractions that are equivalent. How would you teach this concept to a class? Page 6 Grand Canyon University 2021 © Prepared on: Dec 7, 2021
Topic 4 DQ 2 Start Date & Time Due Date & Time Points
Jan 10, 2022, 12:00 AM Jan 14, 2022, 11:59 PM 5
How would you teach the notion of decimal place value to a class? How are decimal numbers related to rational numbers? When is a decimal number also a rational number?
Topic 4 Participation Start Date & Time Due Date & Time Points
Jan 10, 2022, 12:00 AM Jan 16, 2022, 11:59 PM 20
Topic 5: Topics in Algebra
Jan 17, 2022 - Jan 23, 2022 Max Points: 160
Resources
Assessments
Topic 5 Homework Start Date & Time Due Date & Time Points
Jan 17, 2022, 12:00 AM Jan 23, 2022, 11:59 PM 20
Complete Topic 5 Homework in ALEKS.
Topic 5 Quiz Start Date & Time Due Date & Time Points
Jan 17, 2022, 12:00 AM Jan 23, 2022, 11:59 PM 30
Complete Topic 5 Quiz in ALEKS.
Project 2 - Multiple Ways to Teach a Concept Start Date & Time Due Date & Time Points
Jan 17, 2022, 12:00 AM Jan 23, 2022, 11:59 PM 80
Creating videos allows teachers to save hours of repetitive teaching. Students also thrive if they can view a concept multiple times. It is important as a teacher that you can create short videos for your student to help them through the class.
Page 7 Grand Canyon University 2021 © Prepared on: Dec 7, 2021
Complete the attached “Project 2-Multiple Ways To Teach a Concept: Video Links Template 2” and submit to Instructor.
Topic 5 DQ 1 Start Date & Time Due Date & Time Points
Jan 17, 2022, 12:00 AM Jan 19, 2022, 11:59 PM 5
In your own words, explain the concept of a variable. Discuss how you can teach a class about the use of variables and how they can be used to create an algebraic expression.
Topic 5 DQ 2 Start Date & Time Due Date & Time Points
Jan 17, 2022, 12:00 AM Jan 21, 2022, 11:59 PM 5
In your own words, describe the procedure for solving a proportion. What is the difference between a ratio and a proportion?
Topic 5 Participation Start Date & Time Due Date & Time Points
Jan 17, 2022, 12:00 AM Jan 23, 2022, 11:59 PM 20
Topic 6: Real Numbers and Applications
Jan 24, 2022 - Jan 30, 2022 Max Points: 80
Resources
Assessments
Topic 6 Homework Start Date & Time Due Date & Time Points
Jan 24, 2022, 12:00 AM Jan 30, 2022, 11:59 PM 20
Complete Topic 6 Homework in ALEKS.
Topic 6 Quiz Start Date & Time Due Date & Time Points
Jan 24, 2022, 12:00 AM Jan 30, 2022, 11:59 PM 30
Complete Topic 6 Quiz in ALEKS. Page 8 Grand Canyon University 2021 © Prepared on: Dec 7, 2021
Topic 6 DQ 1 Start Date & Time Due Date & Time Points
Jan 24, 2022, 12:00 AM Jan 26, 2022, 11:59 PM 5
Discuss various methods you might use to teach the commutative property and the associative property of addition. Explain how these properties are used in everyday life and why they are important to understand.
Topic 6 DQ 2 Start Date & Time Due Date & Time Points
Jan 24, 2022, 12:00 AM Jan 28, 2022, 11:59 PM 5
Describe the difference between simple interest and compound interest. Why does it make sense that the interest rate r is divided by n in the compound interest formula?
Topic 6 Participation Start Date & Time Due Date & Time Points
Jan 24, 2022, 12:00 AM Jan 30, 2022, 11:59 PM 20
Topic 7: Final Project and Exam
Jan 31, 2022 - Feb 6, 2022 Max Points: 235
Resources
Assessments
Project 3 - Multiple Ways to Teach a Concept Start Date & Time Due Date & Time Points
Jan 31, 2022, 12:00 AM Feb 6, 2022, 11:59 PM 80
Creating videos allows teachers to save hours of repetitive teaching. Students also thrive if they can view a concept multiple times. It is important as a teacher that you can create short videos for your student to help them through the class.
Complete the attached “Project 3-Multiple Ways to Teach a Concept: Video Links Template 3” and submit to Instructor.
Practice Exam 2
Page 9 Grand Canyon University 2021 © Prepared on: Dec 7, 2021
Start Date & Time Due Date & Time Points
Jan 31, 2022, 12:00 AM Feb 6, 2022, 11:59 PM 25
Complete Practice Exam 2 in ALEKS.
Exam 2 Start Date & Time Due Date & Time Points
Jan 31, 2022, 12:00 AM Feb 6, 2022, 11:59 PM 100
Complete the Exam 2 in ALEKS. The exam will be cumulative, covering the material from the entire course.
Topic 7 DQ 1 Start Date & Time Due Date & Time Points
Jan 31, 2022, 12:00 AM Feb 2, 2022, 11:59 PM 5
Out of the concepts you have studied in this course, choose one that you feel would be particularly difficult for students to understand. Provide a concrete real-world situation or example to help illustrate this concept.
Topic 7 DQ 2 Start Date & Time Due Date & Time Points
Jan 31, 2022, 12:00 AM Feb 4, 2022, 11:59 PM 5
It is necessary to have a good understanding of mathematics in order to teach it. Who do you think would make a better math teacher: a person who has natural mathematical talent and understands concepts easily without making mistakes, or a person who had to struggle to gain their understanding of math and learn to avoid making mistakes? Why?
Topic 7 Participation Start Date & Time Due Date & Time Points
Jan 31, 2022, 12:00 AM Feb 6, 2022, 11:59 PM 20
Page 10 Grand Canyon University 2021 © Prepared on: Dec 7, 2021
