The Common Core State Standards for Mathematics identify eight “Mathematical Practices” — the kinds of expertise that all teachers should try to foster in their students. They go far beyond any particular piece of mathematics content, describing instead what mathematics is really about, and why it is so valuable for students to master. The very first Mathematical Practice is:
“Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary.”
This module will help you develop these very important mathematical skills, so that you will be better prepared to help your future students develop them.
Week Objectives
- Explain the difference between a problem and an exercise in mathematics, and give examples of each.
- Tackle several challenging problems and persevere in solving them.
- Catalog, describe, and apply several problem solving strategies.
Due This Week
Journal
Due: Friday, January 17, 2014
Please submit before 5pm
- Set up your Google Docs Journal:
- Open the template.
- Click on File, then Make a Copy.
- Under Enter a New Document Name, use the following format [Math 111 Journal Spring 2014 - First + Last Name].
- Do NOT click on Share it with same people.
- Work on your Journal 1: Your Experiences with Math. See your personal Google doc for full questions.
- Set up your Google Docs Journal:
Post Discussion
Due: Friday, January 17, 2014
Please submit before 5pm
- Post your discussion response after completing Online Session: Part 2.
Online Sessions, Readings, and Videos
- View Session
Part 1
For first half of week (Sunday to Tuesday). Includes Before We Meet (due before Online Session 1), Online Session 1, External Resources.
- View Session
Part 2
For second half of week (Wednesday to Friday). Includes Before We Meet (due before Online Session 2), Online Session 2, link to Discussions.
1. Linda Sakamoto, Kaua’i
2. I have three younger siblings and helped my mom home-school all of them. Ever since having that experience I decided that I wanted to become a teacher or some kind.
3. I hope to review some of the fundamentals of math and maybe learn about how to think about math.
Looking forward to virtually meeting everyone!
– Linda
Wow, homeschooling is a lot of work. My cousins were homeschooled. Props to you Linda.
Welcome to the class
– Liz
1. Haunani Kendall, Kapa’au, Hawai’i Island
2. I love kids. Their energy gives me inspiration to teach. I think education is the most important thing you can give to young people.
3. Basic elementary school level math.
Thanks
-Haunani
Nice to meet you!
1. Elizabeth Nantes, Hagåtña, Guam
2. My parents are teachers here at the University of Guam and raised me to value education.
3. Different concepts of math and ways to think about it.
– Liz
Guam? Cool!