*Patterning the World* is a 12-credit, one quarter introductory program that integrates the study of mathematics and physics around a theme of *patterns*. We approach the study of patterns from two complementary points of view: the *discovery* of patterns through hands-on work in lab and the *generation* of patterns through mathematical explorations. We will study mathematics as a language of patterns that unifies these viewpoints. As students discover and generate patterns, we will develop and identify mathematical structures that describe and help make sense of those patterns. Students who successfully complete this program should

- become mathematically and scientifically capable and confident,
- improve habits for achieving success in future work especially in math and science,
- develop increasingly sophisticated skills for learning from text and a variety of other resources.

**Program Faculty**

- Krishna Chowdary, chowdark@evergreen.edu, Lab II 3255, (360) 867-6156
- Neal Nelson, nealn@evergreen.edu, Lab I 2010, (360) 867-6738

**Program Support**

- Kirana Bergstrom – Teaching Assistant
- Madeleine Beatty – QuaSR Tutor
- Diane Nelsen – Science Instructional Technician
- Julian Putnam – Lab Aide

**Required Texts**

*Precalculus: An Investigation of Functions*, available at**http://www.opentextbookstore.com/precalc/**. Rather than printing out the entire textbook, you may want to consider ordering the text from one of the links available at the textbook website.*College Physics*, available at**http://openstaxcollege.org/textbooks/college-physics**. We will work through selected chapters of this textbook (to be announced) so you likely would not want to order the entire text.- You must have access to your own copy of these texts, as full participation in class activities requires your own copy to work from.

**Program Learning Goals**

Through your work in the program, you will make progress towards meeting many of the “Expectations of an Evergreen Graduate”, including how to:

- articulate and assume responsibility for your own work;
- participate collaboratively and responsibly in our diverse society;
- communicate creatively and effectively;
- demonstrate integrative, independent, critical thinking;
- apply qualitative, quantitative and creative modes of inquiry appropriately to practical and theoretical problems across disciplines;
- demonstrate breadth and synthesis of learning and the ability to reflect on the personal and social significance of that learning.

Additional program goals are taken from the Common Core States Standards for Mathematical Practice and the Next Generation Science Standards. You will develop your opportunities to:

- make sense of problems and persevere in solving them;
- reason abstractly and quantitatively;
- model with mathematics;
- use appropriate tools strategically;
- attend to precision;
- analyze and interpret data;
- look for and make use of structure;
- look for and express regularity in repeated reasoning;
- construct viable arguments from evidence and critique the reasoning of others;
- obtain, evaluate, and communicate information.

**Program Schedule and Activities**

**schedule updated Thu. Jan. 16**

All students will participate in ** Lecture**,

*,*

**Lecture/Seminar****,**

*Physics Labs***,**

*Math Lab***, and the**

*Problem Session***.**

*Weekly Wrap*** Lecture **and

**: There will be 1 Lecture session and 1 Lecture/Seminar a week, on Monday. In our interactive Lectures, we will provide context for the readings, work through conceptual difficulties, make connections between our various topics, and gather questions. Seminars will be dedicated to collaborative learning through close reading and discussion of the texts. Our goal is to develop skills to engage in thoughtful and respectful conversations about the material, learning from each other as well as from the texts themselves.**

*Lecture/Seminar*** Physics Labs: **There are 2 Physics Lab sessions a week, on Monday and Wednesday. Physics Lab activities will allow us to discover patterns in nature in a structured and supportive environment. Physics Lab will give us hands-on experience and transferable skills with equipment and computers.

** Math Labs: **In the Math Lab on Tuesday, we will analyze patterns discovered in the Physics Labs as well as generate and explore purely mathematical patterns. We’ll be learning and using tools for both the analysis and generation of patterns.

** Problem Sessions**: Problem Session (Workshop) is on Monday. A set of homework problems will be assigned for each Problem Session. You should attempt all problems before Problem Session and complete as many as you can on your own, then bring both complete and incomplete attempts to Problem Session. You will work in small groups to understand and explain problems that posed particular challenges to you or any group member, with the goal of improving both your private internal understanding and your public external communication of that understanding.

** Weekly Wrap**: The Weekly Wrap is an all-class activity on Thursday (during the second part of the Thursday Lecture time)that provides an opportunity to collectively reflect on and synthesize the work of the week. This session will typically have some combination of discussion and writing.

**Assignments and Assessments Overview**

Regular weekly assignments include ** Readings**,

**,**

*On-line Skills Drills***, and**

*Problem Sets***. Also, for one week in the quarter, you will complete a**

*Weekly Reflections***assignment. Each week there will be a**

*Resource Posting and Review***. In weeks 5 and 10, there will be an**

*Quiz***. Throughout the quarter, you will maintain a**

*Exam***of your work.**

*Portfolio**Reading** Assignments**:* Each week, you will have Reading Assignments from the math and physics textbooks along with supplementary readings. These Reading Assignments must be completed for Seminar. Details of Reading Assignments are provided at the Calendar links at the program web-site.

** On-line Skill Drills & Problem Sets**: You will have two forms of problem solving work each week: On-line Skill Drills and Problem Sets. While the On-line Skills Drills give you practice with and immediate feedback on important basic concepts and calculations, the Problem Set exercises are generally richer and more complicated, requiring an application of concepts and skills beyond the basics.

are interactive exercises posted for both the math text and the physics text. The skill drills are automatically evaluated and you will complete them as independent homework due on Friday by 5 pm.*On-line Skill Drills*are due for Monday’s Problem Session and you should be prepared to show the faculty your completed work at any problem session. Problem Sets will be included in your Portfolio, and will serve as tickets for Quiz Revision opportunities.*Problem Sets*

* Problem Sets*: Problem Sets in precalculus and physics give you practice with important basic concepts and calculations, as well as with exercises that are generally richer and more complicated, requiring an application of concepts and skills beyond the basics. You should attempt all problems on a Problem Set before the associated Problem Session (see above). Problem Sets are due online by 11:59 pm Saturdays, through the online platforms WAMAP and WebAssign.

** Weekly Reflection:** Each week, students will reflect on their engagement in the week’s activities, their assignment completion, and their learning (including highlights and places to improve). In addition, students will provide examples of meeting (or plans to meet) specific program learning goals. These reflections will be submitted on-line by Thursday

** Resource Posting and Review:** For one week during the quarter, students will find external learning resources related to the topics covered in that week. They will post the resources on the program forum by

** Quizzes**: There will be an in-class Quiz each Tuesday beginning at 8:30. The Quiz will cover material from the previous week with emphasis on the Problem Set covered in Problem Session the previous day. You will also have the opportunity to take a Quiz Revision within two weeks of a Quiz (Quiz Revisions are held on Thursday mornings at 9 am); to be eligible for a Quiz Revision, you will need to show the corresponding completed Problem Set.

** Exams**: There will be an in-class mid-term exam in week 5 and an in-class cumulative final exam in week 10. These exams offer you an opportunity to demonstrate what you have learned in reading, lectures, labs, homework, and other program activities.

*Portfolio**:* Throughout the program, you will maintain a portfolio of your work consisting of all the above assignments as well as any notes or other material that reflects your work. The portfolio will be submitted at the end of week 10 and will inform faculty evaluations. It will also provide a lasting record and resource for your own future reference.

: Each student is required to write and submit to faculty an evaluation of their own work and achievements in the program. We will have short evaluation writing workshops to help you through this process. Self evaluations should be printed out for inclusion in your Portfolio.*Self-Evaluation*