Day1_SecondaryII

Day 2

To print:
 * Developing understanding || [[file:eucc2011/DU_dilations.pdf|DU_dilations.pdf]] ||
 * Solidifying understanding || [[file:eucc2011/SU_dilations.pdf|SU_dilations.pdf]] ||
 * Practicing understanding || [[file:eucc2011/PU_dilations.pdf|PU_dilations.pdf]] ||
 * Teaching notes for LC1 || Teaching_Notes_LC1.docx -- place in CA12/Day1/ on thumb drive ||
 * Structure is Standards || [[file:eucc2011/StructureIsStandards.pdf|StructureIsStandards.pdf]] ||

Two Geometer's Sketchpad files Troy made:

Introductions by sharing responses to: Share the goals of the Core Academy. Go over daily schedule: lunch, breaks, start and end time. Discuss their two hats: Experience mathematics as learners and examine pedagogy as teachers. At end of each task, we will debrief about certain questions. Keep the discussion brief since we will be learning about this throughout the workshop. We are just surfacing ideas. || # 1. Build capacity of teachers to plan and teach Utah Core.
 * Day 1: Learning Cycle[[file:///C:/Users/e/Documents/My%20Dropbox/mathed/essential_understandings/CCA2/Facilitation_notes_short.docx#_ftn1|**[1]**]] **
 * Time || Activity || Focus and Goals || Notes ||
 * 9:00-9:15 || **Welcome **
 * What do you think is the vision of the mathematics classroom in the Utah Mathematics Core? **
 * 1) 2. Improve practice by developing strategies for implementing the Standards for Mathematical Practice.
 * 2) 3. Deepen content knowledge by engaging in learning cycles built around the Common Core content standards.
 * 3) 4. Develop understanding and appreciation of the integrated model by making connections among the strands of the Utah Core. || <span style="font-family: 'Times New Roman',serif;">Before: put out binders and books for each participant. ð

<span style="font-family: 'Times New Roman',serif;">Collect pre-assignment after the responses are shared – it will be needed during lunch.

<span style="font-family: 'Times New Roman',serif;">Hand out 5 Practices Book. <span style="font-family: 'Times New Roman',serif;">Make a chart and post: Debrief Questions ð ||
 * <span style="font-family: 'Times New Roman',serif;">9:15-9:45

<span style="font-family: 'Times New Roman',serif;">9:45-10:00 || **<span style="font-family: 'Times New Roman',serif;">Session 1: ** <span style="font-family: 'Times New Roman',serif;">Launch: What would be a student’s understanding of similarity as they come to Secondary II? <span style="font-family: 'Times New Roman',serif;">See Faciliatation_Notes_LC1 <span style="font-family: 'Times New Roman',serif;">Debrief Questions, but do not include one about LC. Refer to back cover of book for 5 Practices if needed. || <span style="font-family: 'Times New Roman',serif;">Develop definition of dilation. || <span style="font-family: 'Times New Roman',serif;">Need a set of rulers and rubber bands. ð <span style="font-family: 'Times New Roman',serif;">Hand out Double the Logo tasks || <span style="font-family: 'Times New Roman',serif;">See Faciliatation_Notes_LC1 <span style="font-family: 'Times New Roman',serif;">Debrief Questions, but do not include one about LC. Refer to back cover of book for 5 Practices if necessary. || <span style="font-family: 'Times New Roman',serif;">Dilations and similarity – develop definition || <span style="font-family: 'Times New Roman',serif;">Need rulers ð <span style="font-family: 'Times New Roman',serif;">Hand out the task Find the Center ||
 * <span style="font-family: 'Times New Roman',serif;">Develop **<span style="font-family: 'Times New Roman',serif;"> **Understanding**: **Double the Logo task**
 * <span style="font-family: 'Times New Roman',serif;">10:00-10:15 || <span style="font-family: 'Times New Roman',serif;">Break ||  ||   ||
 * <span style="font-family: 'Times New Roman',serif;">10:15-11:30 || **<span style="font-family: 'Times New Roman',serif;">Session 1: **
 * <span style="font-family: 'Times New Roman',serif;">Solidify **<span style="font-family: 'Times New Roman',serif;"> **Understanding: Find the Center**
 * <span style="font-family: 'Times New Roman',serif;">11:30-12:15 || <span style="font-family: 'Times New Roman',serif;">Lunch: Form groups with similar interests based on pre-assignments. ||  || <span style="font-family: 'Times New Roman',serif;">Tell everyone to leave their name tags in the room (or, have tent names for rearrangement into new groups according to their interests) ð ||
 * <span style="font-family: 'Times New Roman',serif;">12:15-1:15 || **<span style="font-family: 'Times New Roman',serif;">Session 1: **
 * <span style="font-family: 'Times New Roman',serif;">Practice **<span style="font-family: 'Times New Roman',serif;"> **Understanding: We are similar...**

<span style="font-family: 'Times New Roman',serif;">See Faciliatation_Notes_LC1 <span style="font-family: 'Times New Roman',serif;">Debrief Questions, but do not include one about LC. Refer to back of book for 5 Practices. || <span style="font-family: 'Times New Roman',serif;">Practice finding center and scale factor of dilation

<span style="font-family: 'Times New Roman',serif;">All circles and parabolas are similar || <span style="font-family: 'Times New Roman',serif;">Hand out We are Similar, Can’t You Tell task.

<span style="font-family: 'Times New Roman',serif;">Need rulers, and maybe compasses – people can use their computers if wanted. || <span style="font-family: 'Times New Roman',serif;">Show video: LC1_Renae.wmv
 * <span style="font-family: 'Times New Roman',serif;">1:15-2:15 || **<span style="font-family: 'Times New Roman',serif;">Session 2: **
 * <span style="font-family: 'Times New Roman',serif;">Norms & Practice Standards **


 * __<span style="font-family: 'Times New Roman',serif;">Discussion: __**<span style="font-family: 'Times New Roman',serif;"> Based on the __experiences we had this morning__ where we did some mathematics together and the work that students did in the video we would like to reflect back on that experience through a lens of mathematical practices and social interaction:

__<span style="font-family: 'Times New Roman',serif;">How did we interact? What practices did we engage in? How did things develop? What pushed the mathematics along? How can you make productive use of error? Was there space for students to think? __

__<span style="font-family: 'Times New Roman',serif;">Chart the responses on two sheets without headings at the moment __<span style="font-family: 'Times New Roman',serif;">. However, separate the responses that address behavioral norms from those that address mathematical and socio-mathematical norms so that a distinction can be drawn during the discussion. Then have a discussion about the way that the behaviors were separated. <span style="font-family: 'Times New Roman',serif;">What appears to be a common theme among the responses that are placed together on each chart? <span style="font-family: 'Times New Roman',serif;">What norms need to be in place to engage in the 8 Practices? Can we agree on those norms for this group? Think of norms in terms of the Practices and the norms you would establish in a classroom. <span style="font-family: 'Times New Roman',serif;">Discuss Learning Cycle and share the teaching notes for the day's learning cycle. Be explicit about this learning cycle: describe the mathematics, unpack, and state the goals of the cycle, where each task placed in the cycle and how it accomplished moving students along the continuum of mathematical understanding. || <span style="font-family: 'Times New Roman',serif;">Develop norms for the PD through discussing the ways participants have engaged during the learning cycle and watching the students engage in the same tasks from the video.

<span style="font-family: 'Times New Roman',serif;">Bring out the distinction between Social (behavioral) Norms and Socio-mathematical Norms (expectations for the mathematical work), which govern what is acceptable in terms of doing mathematics within the group. <span style="font-family: 'Times New Roman',serif;">Help participants see that

<span style="font-family: 'Times New Roman',serif;">having socio-mathematical and mathematical norms in place is just as important if not more so than having social and behavioral norms in place.

<span style="font-family: 'Times New Roman',serif;">Make the norms for this professional development explicit and give teachers time to process the importance of establishing classroom norms which promote the development of the 8 mathematical practice standards.

<span style="font-family: 'Times New Roman',serif;">Understand the Learning Cycle.

<span style="font-family: 'Times New Roman',serif;">We used to think you had to have certain skills before you could do the higher level thinking, but now we are using the higher level thinking to develop the skills. || <span style="font-family: 'Times New Roman',serif;">Connect computer to projector and speakers. ð <span style="font-family: 'Times New Roman',serif;">Have chart paper and markers available ð

<span style="font-family: 'Times New Roman',serif;">Two files you can refer to are available here: <span style="font-family: 'Times New Roman',serif;"> <span style="font-family: Times New Roman,serif;">

<span style="font-family: 'Times New Roman',serif;">Have chart paper and markers available ð

<span style="font-family: 'Times New Roman',serif;">Have your computer hooked up and project: ð

<span style="font-family: Times New Roman,serif;">

<span style="font-family: 'Times New Roman',serif;">Create a learning cycle/teaching cycle chart. || <span style="font-family: 'Times New Roman',serif;">Participants will select a unit to design a learning cycle (or series of cycles) around for their own classroom. They will describe the mathematics of the Learning Cycle based on a set of related standards in the Utah Core. <span style="font-family: 'Times New Roman',serif;">Participants can use Teaching_Notes_LC1 as a guide.
 * <span style="font-family: 'Times New Roman',serif;">2:15-2:30 || <span style="font-family: 'Times New Roman',serif;">Break ||  ||   ||
 * <span style="font-family: 'Times New Roman',serif;">2:30-3:30 || **<span style="font-family: 'Times New Roman',serif;">Working groups **

<span style="font-family: 'Times New Roman',serif;">Instructions for posting to wiki: <span style="font-family: 'Times New Roman',serif;">Navigate to the appropriate unit in the left hand bar. Edit, scroll down to Examples. Type the name of your learning cycle, highlight it, then click on link button. Leave everything as is (this will create a new page in the wiki). Save. Follow the link to your newly created page (page to your learning cycle). Click edit to add text, explanations and links to files. || <span style="font-family: 'Times New Roman',serif;">Select the unit for developing a learning cycle.

<span style="font-family: 'Times New Roman',serif;">Describe the goals for the unit.

<span style="font-family: 'Times New Roman',serif;">Outline the learning cycle within the unit.

<span style="font-family: 'Times New Roman',serif;">Have a place where all of these are collected – post to wiki. <span style="color: blue; font-family: 'Times New Roman',serif;">http://secondaryiiinutah.wikispaces.com/ || <span style="font-family: 'Times New Roman',serif;">Thumb drives to be handed out tomorrow will have the updated version of teaching notes.

<span style="font-family: 'Times New Roman',serif;">Practice saving to the wiki. ð || <span style="display: block; font-family: 'Times New Roman',serif; text-align: justify;">Groups will take turns to share what their units and the goals are. **<span style="font-family: 'Times New Roman',serif;">Daily Reflection: ** <span style="display: block; font-family: 'Times New Roman',serif; text-align: justify;">Instructions: Let’s take a few minutes to think about and jot down ideas, insights or experiences you have had about engaging students in your classroom. Also consider what additional insights you have gained about similarity from today’s discussions. Then we’ll share. <span style="display: block; font-family: 'Times New Roman',serif; text-align: justify;">Discuss homework. || <span style="font-family: 'Times New Roman',serif;">Everyone will have an idea what other groups are doing.
 * <span style="font-family: 'Times New Roman',serif;">3:30-4:00 || **<span style="font-family: 'Times New Roman',serif;">Discuss the progress **

<span style="font-family: 'Times New Roman',serif;">1. Chapter 2 from the 5 Practices book for tomorrow (Chapter 1 is optional - we have discussed this, but naturally the book is a much better resource) <span style="font-family: 'Times New Roman',serif;">2. Structure Is Standards (The Urn) || <span style="font-family: 'Times New Roman',serif;">Share from wiki. If internet isn’t available, make posters.
 * <span style="font-family: 'Times New Roman',serif;">Homework: **<span style="font-family: 'Times New Roman',serif;"> Read:

<span style="font-family: 'Times New Roman',serif;">Post homework guide for the four days (See Homework_Guide.docx ) <span style="font-family: 'Times New Roman',serif;">Have participants leave their name tags on their desks so you can move them around for tomorrow. ð ||

<span style="color: black; font-family: Arial,sans-serif; font-size: 10pt;"> Yellow highlights indicate things you should prepare ahead of the session. <span style="color: black; font-family: Arial,sans-serif; font-size: 10pt;"> Green highlights indicate the needed materials.