1. Real World Math: stairs
2. Seymour's Math Land History - Logo
3. KWL using Padle
4. Student information
5. introduction - syllabus, talk about Number Theory Book.
6. a look at homework
   philosophy statement (500-600 words) Pre

1. Real World Math (RWM) intro
2. NCTM National conference
3. what are all the standards?
4. apply for unit group: conceptual category (Algebra, Geometry, or Statistics and Probability)
5. Math CCSS Units
   

   Math_Standards.pdf
   

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6. start search for your math journal tool (here's a resource to get you started), post philosophy statement

• Due: acquire all required items: textbooks, reading books, NCTM membership.
• Due: upload philosophy statement (pre) to artifacts wiki
• Due: complete two surveys (tech survey part 1, tech survey part 2, information survey)
• Bring: laptop to class

1. Apply for graduation - Nick, Chris, Sean Anna, Kristi
2. sit in your CCSS category groups
   1. Algebra:
   2. Geometry:
   3. Statistics & Probability:
3. NCTM membership
4. educational origami Web site as a resource
5. iTunesU -- how to find your TPACK and SAMR assignment
6. announce unit groups if not done on Tues; work with teams to select domains and clusters for your unit, start scope and sequence, start developing Stage 1 as a team for the 3 units (using Google docs) Open a new document, click the file menu, then select New, then select from Template EDU 361
7. Resources for Common Core State Standards and ISTE NETS Standards
8. RWM: Seymour's Math Land - Logo
   Use Download of MicroWorldsfree trial

• Due: finalize your Web 2.0 tool selection for your math journal, start your account, post the link to the artifacts wiki, post your "pre" philosophy statement as your first entry (add an introductory statement that explains what a "pre" philosophy statement is)
• Due: Download MicroWorldsfree trial
• WIP: look through "all the standards," especially the Common Core, and bring to class any questions/concerns you encounter

1. you are Dr. Ruben-
   

   TPCK_SAMR_OER_Algebra.pdf
   

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   discuss TPACK and SAMR
2. TPACK and MLTI
3. MLTI Hardware and Software/Schools and Device
4. introduce Technology Demonstration
5. technology tools for your content area
6. Modeling CCSS NCTM Explorations
7. Mathematical Practices CCSS look at Youcubed
8. Explore by CCSS standards in NCTM Click on tab labelled Topic by Grade
9. team feedback on Stage 1
10. start today's math journal entry--A Mathematician's Lament: If "school has been cheating us out of our most fascinating and imaginative art form for centuries", how will you stop the cheating? What are your worries about the cheating? (250-300 words)

• Due: watch/listen to "TPACK and SAMR: Models for Enhancing Technology Integration" by Dr. Ruben Puentedura (Provider: Maine Department of Education) in iTunesU; be prepared to discuss this in class
• Due: finish reading A Mathematician's Lament
• Due: Stage 1 first draft of your individual unit, and post URL on Artifacts page.

1. RWM: presentation by Larry Ronco
2. Follow up to A Mathematician's Lament - you know your students in middle and high school have been "cheated" for years, so what's the impact on your class? and what are you going to do about it?
3. introduction to Number Theory book and presentations; work with your team to pick your chapter--each team member will individually present a chapter so that all chapters are covered (Geometry: chapters 1, 7, 9; Algebra: chapters 4, 5, 6; Statistics and Probability: chapters 2, 3, 8)
4. Discuss Fluency Without Fear
5. pre-requiste skills as a part of assessment; data-informed teaching
6. address appropriate mathematics vocabulary in your presentation
   

   Today’s math vocabulary exposes generational divide - The Washington Post.pdf
   

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7. review of Stage 2: Assessment - Formative (pre-requiste skills, self, peer, teacher feedback), Summative
8. brainstorm assessments for your unit with your teammates
9. MARS Mathematics Assessment Resource Service

• Due: finish math journal entry on A Mathematician's Lament - Note: Citing articles/books/sources in Math Journal (Mathematician Lament, The Power of Writing, Etc...)
  
  
• Read: Fluency Without Fear
• View: Why We Need Common Core Mathby Jo Boaler

1. RWM: Piaget and multiplication story
2. discuss Preface and Intro of Number Theory and how this book applies to middle and high school
3. introduction to Digital Teacher's Manual
4. web 2.0 portfolio tools as options
5. work session #1 to finalize Technology Demonstration
   1. Smartboard? Do you want to use it? want to practice?
   2. do you want to assign any homework? (e.g., download software or read something) let us know early so we can put it on the wiki
6. work session #2 Q&A on Number Theory Presentations Number Theory Presentation - Look at Artifacts from previous Methods class.

• Due: Stage 1--final version
• Due: Read Preface and Introduction to Number Theory
• Bring to class any materials needed for your work session in class today

1. introduction to Concept-Rich Mathematics Instruction -- readings and responses are spread out, look ahead, feel free to work ahead; if you have a different writing prompt you'd like to try, talk to us
2. Stage 2 Assessment
3. Stage 1 Scores on Blackboard
4. Create Avatars
5. work session
   1. read the research about the power of writing in the math curriculum explore resources as possibilities for your unit/lessons
   2. start today's math journal entry--what were your initial reactions to the article on the power of writing in the math curriculum (positive, negative, personal, . . . how would you do it?)
   3. Stage 2
   4. Number Theory Presentation

1. RWM: hooks
2. discussion/sharing of thoughts on the power of writing in the math classroom
3. team feedback on Stage 2s
   1. Dr. Grace focus: Formative & Summative Assessment GRASPS & Task Summary
   2. colleague focus: rubric--loopholes, grammar, overlap, . . .
4. discuss designing an effective exam
5. Math=Love Youcubed Robert KaplinskyGreat resources for ideas on Modeling
6. exit ticket

• Bring The Art of Motivating Students book to class.
• Due: Avatars
• Due: Stage 2 draft for your individual unit
• Due: Finish math journal entry with your initial reactions to the article on the power of writing in the math curriculum
• Read: One of the two articles on designing an effective exam
  
  
  
  

1. RWM: a manipulative experience
2. read the article on the use of manipulatives in high school--when do students outgrow them, when do they need them?
   1. Bases and Manipulatives
   2. manipulatives for your Number Theory presentation?
   3. concrete vs. virtual: intuitive, concrete, representation, abstract, applications, communication - Kiera's Video
3. discuss the five components of Concept-Rich Instruction
4. Conceptualizing Mathematics using Narratives and Art
5. hand out "Instructional Models and Strategies" Resources for Instructional Models
6. work session:
   1. peer feedback on draft exams
   2. consider manipulatives in your unit
   3. rubrics for performance task - permission/citing/giving credit, etc...
   4. time with your team on your Technology Demonstration--if you have any homework (download software, bring something, read something brief, watch a video, . . . ) let Drs. Theresa and Grace know so that it can be announced to the class and added to the agenda

• Due: read Concept-Rich Mathematics Instruction Chapters 1 & 2--complete math journal entries related to this: 1. What memories from your K-12 learning experiences were brought to your mind as you read chapter 1 & 2. Pick one of the Five Components of Concept-Rich Instruction. Unpack it. Explain it in your own words. What scares you / what excites you about this component in your teaching? Now briefly explain how this component fits in with the other four components.
• Due: Draft an exam for your unit and attach to Stage 2

1. Algebra Technology Demonstration
2. Instructional Models - Share your math examples for each model
3. look at lesson plan and rubric and NCTM resources
4. work session on part 1 of Lesson 1
   1. list pre-requiste skills incorporated as part of Standard 3
   2. include pre-assessment and strategies for those without pre-requisite skills
   3. what to do when pre-assessment shows that they already know it?
   4. identify SAMR of the technology you're using
   5. identify instructional model being used
   6. Checking for Understanding Strategies during instruction
   7. Response to Intervention
   8. Education You Scheduleand Brochureand Articleand Slides with Data
   9. Extensions - Tiering , gifted students, students who already know this lesson's content. More Tiering resources
   10. consider adding these resources to your Digital Teachers Manual

• Download: Geogebra software to your laptop
• Look for: an email from an Algebra team member and follow those directions
• Due: Algebra Technology Demonstration
• Due: Stage 2 and Rubric (post new version on class wiki and make sure you rename the files)
• Due: Probability and Geometry teams only: Explore The Art of Motivating Students for Mathematics Instruction--complete math journal entry: Thinking about your unit, which hooks do you think will be effective for you as a teacher and for the content of your lessons? Why?
• Due: Read "Instructional Models and Strategies" and select the instructional models you would like to use in lesson 1. You can use multiple models since your lessons are multiple days.

1. Number Theory Presentation for Chapter 1 Kristi
2. Number Theory Presentation for Chapter 2 Ryan
3. Brief Introduction to Middle School Presentation

• Due: Number Theory Presentations for Chapters 1 and 2
• Due: Everybody except today's Number Theory presenters: read Concept-Rich Mathematics Instruction Chapters 3 and 4--complete math journal entries related to this. 3. Which misconceptions do you anticipate will happen in your unit and which Instructional Principle for Conceptual Remediation will help you address that? 4. How do you see yourself using The Problem-Solving Process?

1. Number Theory Presentation for Chapter 3 Marissa
2. Work session
   1. Exam
   2. Middle School Presentation
   3. Smartboard
   4. Number Theory
   5. Technology Presentation
   6. Check in with Geometry Team (assignment)
   7. Resources
   • Textbook - DVD Resource UCSMP
     

     ucsmp-ccss-a-geo-aa-fst-pdm.pdf
     

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   • Book Incredible examples dealing with solving problems that actually don't have a number answer.

• Download Smart Notebook Software
• Due: An exam for your unit and answer key.
• Due: Number Theory presenters 1 and 2: read Concept-Rich Mathematics Instruction Chapters 3 and 4--complete math journal entries related to this. 3. Which misconceptions do you anticipate will happen in your unit and which Instructional Principle for Conceptual Remediation will help you address that? 4. How do you see yourself using The Problem-Solving Process?
• Due: Algebra team only: Explore The Art of Motivating Students for Mathematics Instruction--complete math journal entry: Thinking about your unit, which hooks do you think will be effective for you as a teacher and for the content of your lessons? Why?

1. Geometry Technology Demonstration
2. ten minute challenge
3. how to find good resources (don't reinvent the wheel)
   1. textbook selection evaluation process
   2. evaluating software packages
   3. modify/personalize great resources intended for other audiences (take an elementary school manipulative and use it in geometry; take a college-level activity and modify it for high school)
   4. Dan Meyer--what did you think? How can his blog be a resource
4. work session on part 2 of Lesson 1
   1. teaching and learning sequence
   2. Hook: The Art of Motivating Students for Mathematics Instruction
   3. instructional models
   4. Mathematics Maine Department of Education
   5. NCTM's Process Standards and CCSS Mathematical Practices.
      1. Lessons and Resources
      2. Lessons
      3. Activities
      4. Making Checklist
   6. Standards for Certification (will be completed only once for the entire unit)

• Download: Google SketchUp to your laptop
• Due: Geometry Technology Demonstration
• Due: please download and install Google SketchUp on your laptop before class
• Due: Part I of Lesson I complete for feedback and then you can start building Part 2 in class today.
• View: Math class needs a makeover by Dan Meyer and take a look at his blog

1. Number Theory Presentation for Chapter 4 Anna
2. Explore Number Theory Presentation for Chapter 5 Nick
3. Middle School Presentation

• Due: Number Theory Presentations for Chapters 4 and 5
• Due: read Radical Equations (chapters 1-4)

1. Statistic and Probability Technology Demonstration
2. Discuss Chapters 1-4 Radical Equation
3. work session - Middle School Team Lesson - 21 students
   1. how will you be able to call on the students by name during your presentation? what your classroom arrangement?
   2. design an "exit ticket" or formative assessment to assess if they learned what you wanted them to learn and to get their feedback on how you did?
   3. don't forget to dress professionally
4. start today's math journal entry: What do you see as the differences between teaching middle school and teaching high school?

• Download: Tinkerplot for $7.00 if you want to purchase it. Click on Try it. You may get an email this weekend from the probability team.
• Due: Probability Technology Demonstration
• Due: Lesson 1 for Feedback (I'm going to feedback these online so please when you share the document with me choose the setting which allows me to comment.)

1. Number Theory Presentation for Chapter 6 Chelsey
2. Number Theory Presentation for Chapter 7 Sean

• Due: Number Theory Presentations for Chapter 6 and 7
• Due: math journal entry on the differences between teaching middle school and teaching high school.

1. Number Theory Presentation for Chapter 8 Rachel
2. Number Theory Presentation for Chapter 9 Chris
3. Discuss Misconceptions, Problem Solving

• Due: Number Theory Presentations for Chapter 8 and 9
• Due: read Concept-Rich Mathematics Instruction Chapters 5, Afterword and Appendices--complete math journal entry related to this: 5. What new strategies did you find in this chapter? Do you think they'll work for you? Why? Afterword and Appendix 1: Look back at your response for chapter 2. How do the teacher activities in the Component you wrote about relate to your unit? Appendix 2: How does this appendix relate to your unit and to the CCSS?
• Due: Lesson 2 for feedback and Lesson 1 for scoring

1. everyone help presenting team with room set up
2. Middle School Presentation MSP #1 Geometry Team

• Due: Middle School Presentation #1 Geometry Team
• Due: math journal entry - Reflect on your experiences with gifted students in a math classroom

1. Teaching like it's 2999
2. iPads in Practicum (it's not the same Practicum experience you had)
3. Padagogy Wheel - SAMR, Blooms, Apps
4. Educreations
5. why use iPads
6. Apps in Education list of math apps
7. MathApps
8. NCTM Custom Apps (for your laptop) Core Math Tools
9. Work session - Find an App for your lesson 3 or 4.
   1. Geometry & Algebra, look for iPad apps in your content
   2. Probability and Statistics, look for laptop apps (NCTM custom apps) in your content
   3. Introduce the GRASPS on the final day of your lesson 4.

• Due: Lesson 2 or 3 for feedback and Lesson 1 or 2 for scoring
• Bring: If you have an iPad, . . . bring it to class today

1. Conversations (advice and learning) MSP #2 Geometry Team
2. everyone help presenting team with room set up
3. Middle School Presentation #2 Algebra Team
   Team

• Due: Middle School Presentation #2 Algebra Team
  
  

1. Discuss Chapters Radical Equation - Part Two (chapters 5-8) and Appendix: "The Mathematics of Trips" and the Acknowledgments.
2. Race to Nowhere
3. working session
   1. ELL Center - Bring MS/HS NCTM Journals and the books for Girls.
   2. start today's math journal entry -- find a research-based article (from a print source) about the positive reasons for using graphing calculators in the classroom; include a summary of the research in a letter to a parent who has asked you why they should spend $100 on a tool that only lets their child cheat in math class.
   3. Digital Teacher's Manual

• Return iPads
• Due: Lesson 3 or 4 (include an App as part of lesson 3 or 4) for feedback and Lesson 2 or 3 for scoring
• Due: Radical Equation - reflection in your math journal - What leadership roles will you assume to promote math education?

1. ELL Information
   1. ELL placement and WIDA Standards
   2. Grades 9-12 placement guidelines
   3. ELL Information Center Fact Sheet and here's the website with even more information.
   4. 2012 Maine ELL Information Update and Maine Department of Education
      

      ServingMainesEnglishLearnersAugust2012.doc
      

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   5. Sign up for Exit Interviews--what's expected
2. ELL update & work session--what we now know so far
   1. #12 students (5 Algebra I, 7 Geometry, and 1 Algebra 2)
   2. arriving at 9:00
   3. tour of campus at 9:15
   4. Info about UMF 10:15
   5. lunch 11:00
   6. class 12:00-1:40
   7. develop 3 centers of learning - need to plan the technology and location options.
   8. ELL Resources
3. start today's math journal entry: Based on your math journal experience this semester and the various readings, reflect on the power of writing in the classroom and how you will use it in your math classroom: what worked well for you, what pitfalls do you want to avoid, what will work well for students who have different learning styles than you, . . . (NOTE: you have two weeks to finish it.)
4. Philosophy Statement (500-600 words) Post
5. making a tagxedo of your post philosophy statement

• Due: math journal entry on graphing calculators.
• Check: Out the new resources Open-task math problems and formative assessment.
• Explore: the links on the agenda #1 to 4.

1. Conversations (advice and learning) MSP #3 Algebra Team
2. everyone help presenting team with room set up
3. Middle School Presentation #3 Statistic and Probability Team

• Due: Middle School Presentation #3 Statistic and Probability
• Due: Lesson 4 for feedback or scoring (include an App as part of this lesson)
  
  

1. Conversations (advice and learning) MSP #3 Statistic and Probability Team
2. Upload One Lesson (Select 1-4) to TK20
3. PDF Unit - Stage 1, 2 and lessons 1-4 with handouts, Exam (beware of size - max 10MB for wiki) - name structure of file, pdf each of your lessons with handouts.
4. Rationale Statement
   

   Maine's 11 Standards.docx
   

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5. work session:
   1. ELL presentation as a team
   2. work on your Digital Teacher's Manual;
   3. start to work on your post philosophy statement
   4. start to work on your rationale statements for all 11 Teaching Common Core Standards
   5. Benchmark Sheet
6. Standards Portfolio Presentation of Student Teachers
7. 

   Fall 2015 Student Teaching Portfolio Schedule.xlsx
   

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• Due: Based on your math journal experience this semester and the various readings, reflect on the power of writing in the classroom and how you will use it in your math classroom: what worked well for you, what pitfalls do you want to avoid, what will work well for students who have different learning styles than you, . .
• Due: Lesson 4 for scoring and any final scoring of your lessons.

1. ELL Day - Reschduled for 12/8 Confirmed
2. Agenda for 12/8
3. Check for due dates on 12/3 and 12/8 they have been updated.

• Due: Team Teaching and Learning Sequence for your Teaching Center. Due 12/3

1. De-Briefing on the ELL experience.
2. Sharing of your unit.
   1. upload a lesson to TK20 (upload on Monday 12/7 when you get the email)
   2. post a link of your unit to common core unit page - when you get the armadillo upload the PDF of your unit to the wiki
3. Share Digital Teacher's Manual at interview
4. Professional Development: MECTERCMath Solution
5. Family Math Night
6. Mathematically Sane
7. Interview expectations
   1. professional attire
   2. share your tagxedo and discuss changes between pre and post philosophy
   3. share digital teacher's manual
   4. present your rationale statements for how you met the 11 standards and NETS-T (pick 1 to write about)--(upload it to the wiki and you'll just talk about it)
   5. Benchmark Sheet
   6. go to Kristin's office Ed. Ctr. 219: fill out evaluations online

Resources

• Due: PDF of unit (Stage 1, Stage 2, Lessons 1-4 with Attachments and Final Exam) upload to class wiki Due 12/3
• Due: PDF a lesson (select one of your lessons) with all attachments, bring digital file to class and be ready to upload to TK20 during class. Due 12/3

• Due: Reflection on ELL Teaching Centers, post in Math Journal. Due - 12/10
• Due: Digital Teacher's Manual - Post link on class wiki Due 12/10

1. Exit Interviews in Ed Ctr 218

• Due: Reflection on ELL Teaching Centers, post in Math Journal.
• Due: Post-Philosophy Statement (500-600 words) include a tagxedo and upload both to class wiki
• Due: Complete tech survey part 1, tech survey part 2,
• Due: add your "L" on the KWL
• Due: Bring your laptop - Conversations (Digital Teacher Manual) Bring a completed checklist for digital manual.
• Due: Rationale Statement on the Eleven Teacher Standards for Initial Certification. Upload to class wiki
• Due: Benchmark Sheet
• UMF Evaluation