Final Reflection

Final thoughts: (must be completed to receive credit)

This post will be your opportunity to comment about what you have gained from this workshop. Please be sure to look back at the original post and review the objectives to see if you gained new knowledge based on the objectives. It would also be nice if you could comment on others posts as well before finishing the course. (You have until Saturday 11/07)

If you wouldn't mind breaking your final post into two parts: What have you learned and final reflection, you can do them within the same comment.  YOU DO NOT HAVE TO ANSWER ALL THE QUESTIONS BELOW, Pick the ones that you feel best to answer.

Here are some questions to guide you in your final post on WHAT HAVE YOU LEARNED:
- What conceptual understanding of  base ten does a student need in order to solve operational problems?
- What instructional strategies would you use to reach students at various levels of mathematical ability?
- What opportunities should students be given to assist with building their conceptual understanding of numbers and operations?
- What model do you find most beneficial in building understanding?

Questions based on the objectives of this workshop for your FINAL REFLECTION:
- What type of FOCUS do you need in your grade level to help a student be successful with numbers and operations?
- How can you work together within AND across grade levels to ensure COHERENCE?
- How do you maintain proper RIGOR in your instruction; including conceptual understanding, fluency and application?

A final survey will be sent from the Teacher Center in order to receive your completion certficates

Sum it Up!

We have worked through the progression of Base Ten Numbers and Operations in grades k-5.

It is important we continue to engage in conversation around the coherence of math standards throughout the elementary common core standards.

For this comment I would like you to share one resource you have come across in relation to Math and Common Core that helps us with coherence. It can be a website, video, story or anything you feel is worth sharing with the group.

There is a video that I came across that I think helps teachers better explain to parents and the public why we are teaching common core. I understand there is a lot of controversy on this topic, I think this video does a good job discussing this :-)
CLICK HERE

Also, please comment on either my video or another participants resource that they have shared.

Fifth Grade

5th Grade: 5.NBT

1. Begin by reading pages 18-20 of the Math Progression Document and look for new understanding and/or important aspects of Numbers and Operations in Base-Ten in 5th grade

2. Watch the following video on standard 5NBT from EngageNY Studio Talks located here: Click Here


3. Post One Comment about something new you learned, an important aspect of 5th grade that other grade levels need to know or an instructional strategy/model that you would use to help solidify the work in the 5th grade. Try and relate your new learning of 5th grade numbers and operations to what you learned previously in grades K-4, and offer an idea about addressing Fluency in 5th grade. 

4. Post one comment responding to another participant in order to add to their thinking, suggest additional ideas or engage in a meaningful educational conversation about COHERENCE thus far. 

Fourth Grade

4th Grade: 4.NBT

1. Begin by reading pages 13-17 of the Math Progression Document and look for new understanding and/or important aspects of the 4th Grade NBT standards

2. Watch the following video on standard 4NBT from EngageNY Studio Talks located here: Click Here


3. Post One Comment about something new you learned about multiplication and division that other grade levels need to know or an instructional strategy/model that you would use to help in the 4th grade instruction of the 4NBT standards. 
    
Think about some of the following questions:
      -what model would you use and why?
      -why teach partial products?
      -why does base-ten foundations play such an important role in multiplying and dividing?
     - why has common core shifted more towards conceptual understanding instead of the "old way" of teaching an algorithms?

4. The 4th grade Progression is very Model involved. Please also comment on each other posts addressing your questions, comments and concerns about these Models and their application in the classroom. (Take a second look at Page 17 and discuss the different methods if applicable)

Third Grade

3rd Grade: 3.NBT

1. Begin by reading page 12 of the Math Progression Document and look for new understanding and/or important aspects of 3rd grade and fluency. 

2. Watch the following video on standard 3.NBT from EngageNY Studio Talks located here: Click Here  (You may stop the video at 9:50)


3. Post One Comment about how students use their understanding of Place Value to round and what is the important relationship between addition and subtraction students need to learn.

4. Post one comment responding to another participant in order to add to their thinking, suggest additional ideas or engage in a meaningful educational conversation about 3rd grade and what you have learned or can use in your classroom based on what you have learned. 

Second Grade

Grade 2: 2.NBT
Based on my experience thus far, 2nd grade seems to be the level where teachers begin to struggle with the different models and conceptual understanding that needs to be taught. Pay close attention to this section, as it is crucial in laying the foundation for Operations. Also, if you have have experience with teaching these Common Core Standards and Models, please share any additional classroom experience you may have!

1. Begin by reading pages 8-11 of the Math Progression Document and look for new understanding and/or important aspects of base-ten understanding and numbers within 1000. Please try and comment about a concept or new understanding from this document. 

2. Watch the following video on standard 2.NBT from EngageNY Studio Talks located here: Click Here


3. Post One Comment about something new you learned, an important aspect of 2nd grade that other grade levels need to know or an instructional strategy/model that you would use to help solidify addition and subtraction. Try and relate your new learning of 2nd grade to what you learned previously in grades K and 1. 

4. Post one comment responding to another participant in order to add to their thinking, suggest additional ideas or engage in a meaningful educational conversation about second grade. Offer a suggestion to help with fluency or a resource you may have used. 

First Grade

Grade 1: 1.NBT

1. Begin by reading pages 6 and 7 of the Math Progression Document and look for new understanding and/or important aspects of numbers and general Base-Ten methods for adding and subtracting 

2. Watch the following video on standard 1.NBT from EngageNY Studio Talks located here: Click Here


3. Post One Comment about something new you learned, an important aspect of First Grade Numbers and Operations that other grade levels need to know and/or an instructional strategy/model that you would use to help with the understanding of Place Value and Properties of Operations to add and subtract . Try and relate your new learning in First Grade to what you learned about Kindergarten  from the video and/or progression document.

4. Post one comment responding to another participant in order to add to their thinking, suggest additional ideas or engage in a meaningful educational conversation about First Grade and how it relates to the current grade that you teach. 

Kindergarten

Let's Talk Kindergarten!

1. Begin by reading page 5 of the Math Progression Document and look for new understanding and/or important aspects of the foundation of the base-ten system and whole numbers.

2. Watch the following video on standards K.OA and K.NBT from EngageNY Studio Talks located here: Click Here
(The discussion does discuss K.OA and it is important to have that background knowledge when discussing the K.NBT standards)

3. Post One Comment about something new you learned, an important aspect of Kindergarten foundations that other grade levels need to know or an instructional strategy/model that you would use to help introduce numbers. 

4. Post one comment responding to another participant in order to add to their thinking, suggest additional ideas or engage in a meaningful educational conversation about K.NBT.1 and what you have learned or can use in your classroom. 

Introductions

Blog Conversations will all be done in this forum. In order to respond to my post you must comment at the bottom of the conversation. In order to reply to other people's comment you will hit "reply" under their comment.

To begin, please share with everyone your name, school district, title, background in education, experience thus far with Common Core Math and what you hope to accomplish by attending this online workshop. 

(Also, for the planners out there, I plan to make a new post every Monday, Wednesday and Friday of each week to try and be consistent.) 

Welcome!

Welcome to the Online Study of Numbers and Operations and how they progress through grades K-5

This workshops is designed to help you become more familiar with the instruction of Common Core Math Standards in the area of numbers and operations in base ten and for you to be able to learn, share and collaborate with other teachers to better enable you to teach within the Common Core Standards of your grade level.

Throughout this three week online study please feel free to share anything you have learned thus far and ask any and all questions so that everyone can learn together!

My name is Jessi Toepfer and I will be your facilitator for this online workshop. I currently work at O/N BOCES as the Math Specialist and I am here to help in any way I can.
My work contact information:  Jtoepfer@onboces.org      (716)-731-6800 ext. 3758
My email for this Blog is: Jccheer26@gmail.com
Please don't hesitate to contact me for anything that you may need!

For those that like to plan, I will post new tasks on Mondays, Wednesdays and Fridays. In order to have a successful online collaboration it is advised that you try to finish each weeks tasks within the given week. The last date of this workshop is Saturday, November 7th, 2015. I will submit all certificates for 15 credit hours upon completion of all your posts. If you have any required forms that need to be filled out for your district I will be happy to get those sent back to you ASAP. It is your professional responsibility to participate in the workshop to the best of your ability in order to receive the 15 credit hours of PD. I ask that you comment at least once on your own for each post I create and respond to a minimum of one other persons comment per post. 

To create a profile you can click on the upper right corner (Sign In) and this will also connect you through your Gmail account so that your name will be shown. (you cannot use a school issued Gmail account, it must be a personal Gmail account).
Before beginning class  please create your account by signing in (top right-hand corner of the blog) 


Jessi Toepfer

Let's Begin!

Workshop Objectives:

- Gain an understanding of the Numbers and Operations in Base Ten Progression across Grades K-5, informed by the Progressions for Common Core State Standards in Mathematics.

- Collaborate within and across grades levels to make connections and enhance instruction through the use of Common Core Math Standards coherence.

Things to Consider Throughout the Workshop:

- What type of FOCUS do I need in my grade level to help a student be successful with Numbers and Operations?

- How do we work together within AND across grade levels to ensure COHERENCE?

- How do we maintain proper RIGOR in our instruction including: Conceptual Understanding, Fluency, and Application to help students master the understanding of Numbers? 

To Begin:

1. We will be working on dissecting the Numbers and Operations in Base Ten, K-5 Progression Document in order to better understand the coherence of fractions across the grade levels. Please download this document and use it as a working document making your notes, clarifications and new leanings directly on it. (Click below)

      Progressions for the Common Core State Standards in Mathematics, Numbers and Operations in Base Ten
    
 ** Read Pages 2-4 of this Document to gain an overall understanding of the Overview of this Document 

2. Watch the short video clip of the Numbers and Operations Base Ten Coherence: Click Here

3. After completing 1 and 2, comment below on the following:
     - What is the importance of understanding the Progression of      Numbers & Operations in Base Ten?
     - What is one overall idea that you noticed?