EDS374  - Summer 2012
Instructor: Chris Halter, chalter@ucsd.edu, 858/534-8186	Office Hours: M/W/F PCH 304 (3rd floor) Course 7/16 – 8/6 9:00 am to 11:50 pm

The purpose of this course is to enable UCSD students to further examine and learn about effective teaching strategies of the secondary mathematics classroom. We will examine some current themes in secondary mathematics, including problem-based instruction, project-based instruction, inquiry and discovery learning, mathematical representation, manipulatives, technology infusion into the curriculum, long range and unit planning, and everyday classroom routines.

A constant theme throughout the course will be Mathematical & Algebraic Thinking. This concept can be found in both national and state content standards and had become embedded into every grade level from K-12. Algebra has become the entry course into much higher level mathematics. To master concepts in Algebra is to prepare for further study in mathematics. Algebra is also the mathematics of everyday life and the language of mathematics itself.

We will also be looking at the process of instructional planning. We will practice creating, modifying, analyzing, and reflecting upon long-range instructional plans, semester plans, unit plans, and daily lesson plans. The method we will use in creating these plans will be the “Backwards Design Model” in which you will identify desired results, determine acceptable evidence, and plan learning experiences and instruction. The foundation of all our lesson plans will be the Mathematics Content Standards for California Public Schools within the context of the CA Mathematics Framework.

CTC Professional Teacher Education Program Standards met by this course: 1(d), 2(c), 3(e), 4(d-e), *B(a), 9(a), 12(b-f), 14(b,e),

CTC Teaching Performance Expectations addressed in this course: TPE1B, TPE2, TPE3, TPE4, TPE5, TPE6BC, TPE7, TPE8, TPE9, TPE10, TPE11, TPE12

Required Readings:

• “Teaching Mathematics Meaningfully”, by Allsopp
• Online Readings in Course Calendar

Course Organization and Expectations:

EDS374 (letter grade) consists of a series of lectures and presentations along with series of investigations and exploration of secondary mathematics themes. Each student will be expected to keep a notebook of instructional ideas.

All students are expected to:

1. Attend lectures
2. Participate actively in discussions and classroom presentations
3. Complete assigned readings
4. Complete lesson plan activities
5. Complete all course projects (lesson plans, two-week plan, substitute plans, etc.)
6. Check e-mail regularly

 Course Grading:

• Attend lectures and active participant during in class tasks (40%)
• Complete course projects & activities (60%)

Course Assignments:

1. Lesson Planning Packet 

During the EDS374 course we will be creating several lesson plans and planning outlines. These plans will include a long-range semester plan, a unit plan (chapter), and several individual lesson plans. These plans will comprise the Lesson Planning Packet. The lesson planning packet will be created as "public" GoogleDocs and be linked as part of your teacher portfolio website.

2. Initial Classroom Management Plan

You will create classroom rules/procedures and the consequence step plan. This is a proactive plan to help deal with the everyday management situations that occur in every classroom. This document should include both your proactive strategies to prevent misbehavior, discipline/consequence outlines when problems occur, a set of initial routines that will be put in place with the steps for that routine, and parent contact plan. The Classroom Management Plan will be created as "public" GoogleDocs and be linked as part of your teacher portfolio website.

3. Classroom Syllabus

Create your class syllabus, includes the classroom rules/procedures and the consequence step plan and your parent communication plan/log plan that includes when you will contact parents and what information you will document. Search for sample mathematics syllabi to use as a guide. The Classroom Syllabus will be created as "public" GoogleDocs and be linked as part of your teacher portfolio website.

4. Mathematics Explorations

 This will be a collection of assignments that are a reflective look at your own mathematics understanding, beliefs, and development. All Math Exploration tasks will be part of your Teacher Portfolio Website in your "Mathematics Blog" These activities will include:

Your Mathography (Exploration 1)

• What do you remember from math when you were in the early grades? What did you like about math? What didn’t you like?
• What was the first thing your remember learning to do in math? What do you remember about learning it?
• Think of all the teachers you had that taught you math. Who was your favorite math teacher? Why? What was different about the way they taught math?
• Did you ever consider Math your favorite subject?  What made it your favorite subject? If math has never been your favorite subject, what about it do you not like?
  

Everyday Math (Exploration 2)

• Throughout the course of the week observe and try to recognize any math related problems or stories that you encounter. Take notes on these stories or problems and then select one that you would like to share with the class
• Write down the stories, leaving out no detail or observation. Note the language and writing is not edited for grammatical mechanics, and you can use an informal tone for writing out your narrative or stories
• Use diagrams if you need to. You can draw the diagrams or try to use a simple illustration program to recreate your images.
• Ask yourself the following questions:
• Did you recognize these math stories immediately or did it take some prompting?
• If you solved a problem, what skills did you use?
  
  
• Everyday Math 2A: Calculate Tip. We all have our own informal way to day mathematics in the real world. One situation that has us use math is when calculating the tip at the restaurant. Ask 3 friends how they calculate the tip on a bill (other than using a calculator, tip card, or smartphone app). In a blog post describe the three methods and then reflect on how this models problem solving in the math class.
• Everyday Math 2B: Math Around You. Describe how you used math to solve a real life problem from this week (or summer)
• Everyday Math 2C:  Common Core Standards. What are your thoughts on the Common Core Standards for CA? Be sure that you are specific and cite text frpm the standards document.

Teaching Meaning vs. Method: Mathematics Beliefs (Exploration 3)

• As part of class discussion, discuss the differences of teaching the meaning of mathematical operations before teaching methods.
• Answer the following questions;
• Reflect back on your own education in Mathematics. Were you taught the method or mechanics of how to do problems or were you taught meaning?
• How do you think we can present both to students effectively?

EDS374 COURSE & Reading Schedule 2010
Day		Planned Schedule & Readings for Today	Activities Planned for the Day	Assignments (to be completed by next class meeting)
Session 1 M 7/16	Introduction to Mathematics Today	What is Learning? Big Ideas in Mathematics Education How to get Big Ideas across to students, the foundations (Number Families, Operations, and Proof) Resources: Sharing Google Docs as "Anyone with Link" and set to "Can Comment". Daily Lesson Plan Template: Use this template for all the daily plans we create	Intro to the course Traffic Jam Sample Class Activities (Budgie, Sq Rt 2, etc) Daily Lesson Planning	First Daily Lesson Plan (due at end of class) Mathematics Exploration 1 (ME1): My Mathography Update our Class website list with your URL. My Teacher website with examples and samples
Session 2 W 7/18	Lesson Planning Intro	Plan a Unit/Chapter (Backwards Design) Long-Term Planning (the curriculum and the school calendar) Resources: o Unit Plan Overview o  Unit Plan o  Daily Lesson Plan Readings to be completed Prior to Class: o  Allsopp, pg. 19-34	Unit Overview/Unit Plan practice Interactive Notebook	Math Explorations 2 Everyday Math A(ME2A): Calculating Tip (respond to two other posts from ME1) Unit Overview & Unit Plan
Session 3 F 7/20		EDS M.Ed Colloquium: Please Attend at least one colloquium presentation.
Session 4 M 7/23	Lessons: Concrete to Abstract & Technology	Manipulatives to understand mathematics Representing math concepts in unique, engaging ways Readings to be completed Prior to Class: 7 Musts for Using Manipulatives Learning Mathematics with Virtual Manipulatives Technology in the Math Classroom (scratch, geometer’s sketchpad, fathom, excel, graphing calculators) Resources: Virtual Manipulative Library Readings to be completed Prior to Class: §   Allsopp, pg. 195-212	Manipulative Stations Planning an Engaging lesson Math Activities Exploration A Foldable (Additional resource to lesson notes) Human Graph
Session 5 W 7/25	Topics in Mathematics	Unpacking the Content Standards Technology in the Mathematics Classroom CA Math Content Standards (Current and Common Core) Common Core Initiative Common Core Resources in Maryland How to use the Standards to Plan Technology Excel or Open Office for spreadsheet Interactive whiteboards Smart Technologies Promethian Mimio Our Technology Guidebook for today (pdf) Download the tech resource folder (zip file) Readings to be completed Prior to Class: Skim the Common Core Standards and current content standards documents.	Common Core Principles Gallery Walk Common Core "brochure" Exploring Technology in the Class Planning an "Engaging" Lesson	Mathematics Exploration 2B (ME2B): Math around you . Describe how you used math to solve a real life problem from this week (or summer). (respond to two other posts from ME2A) Common Core Brochure Lesson Plan: Engaging Lesson
Session 6 F 7/27	Classroom Environment and Community	Building the Classroom Environment and a Community of Learners Readings to be completed Prior to Class: Allsopp, pg. 83-144 Resources Some 3 Act Problems	Lesson Plan with "Student-Center, Active Engagement Focus" Creating a Classroom Environment A Math Lesson in 3 Acts (Meyer) Explore 3 Act problems (our chance to talk some math) Popcorn Leaky Faucet Shower vs Bath Coffee Traveler Lucky Cow Try your own 3 Act problem Classroom Community Activities Math Activities Exploration that support community	Continue working on "Engaging" Lesson Plan Create a Math Problem in 3 Acts (put in your website)
Session 7 M 7/30	The Inner Workings of the Math Classroom	Routines, Homework, and Expectations Physical layout of the room, moving around, Questioning Resources Lesson Overview First Week Team Building Ideas Community Building Ideas Group Games Our Lesson Plan Building for 3.3 Readings to be completed Prior to Class: Allsopp, pg. 9-18, 61-82	Math Activities Exploration for class environment. Plan the first day/week lesson(s) What is included in a class syllabus? What should you think about in your class management plan?	Lesson Plans: First week of school (this may be done using the "Unit Plan" template) Mathematics Exploration 2C (ME2C): What are your thoughts on the new Common Core Standards for CA? (respond to two other posts ME2B)
Session 8 W 8/1	Working Together and Learning	Working in Collaborative Teams and Groups Readings to be completed Prior to Class: Collaborative Groups by Gisele Glosser Allsopp, pg. 145-170	Math Activities Exploration for Collaborative Learning What is included in a class syllabus? What should you think about in your class management plan?	Respond to two other posts ME2C Continue First Week Lesson Plans
Session 9 F 8/3	Your Classroom	Planning for Success Assessing Student Learning Readings to be completed Prior to Class: Middle School Pathways Resource Sample Techniques	Math Trail: Create a Math Trail Problem with photo and include in the UCSD Math Trail wiki. Standardized Tests versus class grades What makes a good assessment question Summative versus Formative Creating an Assessment Your class syllabus and management plan Our Syllabi Thoughts Our Management Thoughts	Math Trail: Create a Math Trail Problem with photo and include in the UCSD Math Trail wiki. Lesson Plan Packet Due, including first week ideas
Session 10 M 8/6	Ready, Set, Go	Teaching from Day 1 to Day 180	How will we start the year?   How will we end the year?	Mathematics Exploration 3 (ME3): Method vs Meaning (final paper) Sample Syllabus due Management Plan due

Presentations from Course

Session 1: Folded Guides

Session 2: Interactive Notebook

Session 5: Common Core Mathematics Standards

Session 6: Classroom Environment

Session 7: Our Lesson Planning Mimio Notebook

Session 8: Collaboration and Cooperative Learning

Good Luck!