Tag: Mathematics

Finding Strength Through Change

changeThe word “easy” has never been in my vocabulary as I continually seek those opportunities which lead me to be challenged and pushed to reach my highest potential. If those opportunities are not to be found, I often create them for myself.

This school year has given me those types of experiences, the ones which are challenging enough to grow me not only as an educator but also as an individual. I am not only learning about who I am as a teacher, but who I am as myself and how this influences everyone that I have the honour of working with and for.

I began this school year in a new city, in a new district, in a new school with colleagues I had never met and in a new grade with new students coming in from various other schools. To say that I embraced change would be an understatement, however I didn’t realize that when you leave yourself vulnerable and open to so much change, that it becomes about overcoming and learning from the challenges that come your way in order to truly grow.

The following excerpt was from my blog post entitled 2014 – My Year Of Change & Growth, I decided to include it here because it was the catalyst for me to finish off this school year strong.

“September 2014 – December 2014

When I first started this reflection I didn’t fully grasp or realize the amount of learning accomplished during the final half of 2014 until I started looking at the photos I had taken. I have grown immensely both personally and professionally in these past few months by being active in my new community and surroundings, by embracing the uncomfortable, by being honest and open about my strengths, strong passions and areas of growth but most of all in my own self-confidence as an educator.

I found myself surrounded by communities of support, expertise and varied experiences in an environment prime for growth. This is what I had hoped for and I knew it wouldn’t be an easy journey, but I have never been one for easy. I have come from close to 5 years of independent teaching in small rural schools. I have always planned, coordinated and constructed all of my own materials, units, and assessments based on my own student needs and most recently, students with whom I had looped with for three years and knew like family. I now was in a team of six grade five educators collaborating together on the learning for our students, in a school almost seven times the size of my previous.

Reflecting on the start of the school year, I see now that underestimated the transition into this. It has been years since I needed to share who I was, my true self, with other educators, as when working within a small district everyone knows everyone. My other collaborations have been with educators who follow me on Twitter or read my blog and have a strong sense of who I am. The individuals within my comfort zone, who are my rocks, all know my deep passion for learning, know how excited I get at the thought of planning a unit with my students and finding those connections for them, know that I am honest, genuine and will ask a lot of questions because I have a need to know the why behind everything I bring into my classroom, but that mostly I care…about everything and everyone all the time.

I learned that when working within a large group, fostering a relationship beyond work is essential for the dynamics because once everyone truly knows one another a foundation of trust and an environment where vulnerability is welcomed can be built, however that this also takes time. Effective collaboration doesn’t happen overnight, it needs to be built step by step by each individual party. My sheer optimism and strong will to ensuring meaningful things happen despite obstacles, is who I am however this is something that is shown over time through sincerity and action. I am learning how to communicate my passions, thoughts and ideas outside of my comfort zone and am pushing myself to hear (not just listen) and understand more and more.

These few months also taught me about the power of student connection and relationships. I had worried whether I would be able to connect with a brand new group, but as the weeks went on I started receiving hugs, drawings, jokes, stories from home, open discussions about their lives and genuine interest in mine, shared laughter and that feeling of knowing these are the amazing kids I am so lucky to know and work with every day. I love the community we have built and will continue to grow.”

The first half of this school year was a blur of learning and adjusting to everything that was around me. I felt lost and at times overwhelmed by the needs and expectations I had placed on myself to ensure that students were receiving the best learning, that my administration was proud of the learning happening in my community, that I was building strong relationships and that I was doing everything to the best of my abilities at all times. This type of pressure can be healthy if its pushing you to grow, but it can also become unhealthy if it becomes so much that you feel like you are barely keeping your head above water. My previous teaching experiences truly helped as I was able to find my balance and learned to create boundaries for myself. I began to make time for myself, to be ever mindful of my presence, to prioritize tasks based on student need, to delve deeply into one or two areas and alleviate the pressure  from others. Taking on a positive learning attitude without fear, worry or doubt (which can creep in when faced with a significant amount of change); to one with self-confidence and a focus on student learning will shift your perspective around.

The amount of learning the students and I had this year has been indescribable. Together we faced the challenges of being surrounded by “new” and grew wholeheartedly as a mini family. Any concern, issue, problem that came up whether in the world, at home or in class we discussed together as a group to solve. A level of mutual trust and respect was established between us and I am so proud of the work they accomplished this year. Their growth, happiness and well-being is what fuels me to keep pushing myself because in facing my own challenges I was helping them to face theirs.

As I had stated in my last post Forging The Path, I have grown a considerable amount this year and my focus has been on learning for students and for myself. I needed to take the time to be hands-on getting messy and experiencing everything that life was bringing my way in order to be authentic in my sharing and in my teaching.

So what new learning did we accomplish together you ask? Here is a brief list of everything we dived into this year all of which were new to my students and many new to me as well:

1. Chromebook use & integration as main resource and access to modes of learning for all students

2. Utilizing the Edublog system for blogging and creating individual student portfolios

3. Accessing Google Drive and creating individual student subject folders

4. Students learning how to blog, connect, use google apps for education, embed items into blogs, create links, group chats and copyright usage

5. Google Classroom facilitation for both students and myself

6. Book Clubs with audio recorded reflections which were then embedded into blogs

7. iMovie Book Trailers and summary videos

8. Multiple feedback loops across all subjects and projects

9. Use of in-depth authentic mathematics projects

10. Inquiry-based Problem of the Week projects for mathematics with detailed reflections and criteria

11. Socratic Circles in Social Studies on which region of Canada is best to live in

12. Full inquiry in classroom chemistry with the use of outside experts

13. Story writing in google docs and publishing to iBooks using Book Creator

14. Global Citizenship through Drama where we teamed up with Trickster Theatre on student research of child soldiers

15. Conducting deep research using media literacy skills and citing digital and print sources accurately

16. Paper Slideshows detailing impacts of Immigration

17. Experiencing the power of innovation and freedom to dream through Innovation Weeks and our trip to the Innovation Lab at our local library

18. Students utilizing metacognitive skills to purposefully reflect on learning

19. GoodReads for reading goals, reviews and connecting reading communities

I’m certain I’m missing more and when I look back at it now, I am in awe of what we accomplished this year. We took risks, we had many technical difficulties, we persevered when projects were taking long to finish, we asked for help when we couldn’t find the answers, we took breaks when our brains and bodies needed them, we cried from frustration at times but looked to the support from others around us but most importantly we faced these challenges and grew with and from them. They changed us for the better and we wouldn’t have wanted it any other way.

 

Share

Not Another Game Of Bingo!

 

We complete a mini-problem every week focused on multiple strands of the mathematics curriculum as well as areas of student need for growth.

As we worked on our 2X2, 2X3 and even 3X3 multiplication learning, we were also moving towards division and I knew that a stronger understanding and focus on their multiplication facts was needed. I sought out ways to ensure their learning was meaningful, in-depth and not just rote memorization as they will need to have a strong understanding of multiplication in order to understand division.

My colleague, Jessie Krefting, forwarded me this problem called Multipingo. At first glance, one would think oh great, the students will roll the dice and play bingo, but that is not a way to grasp deep understanding of mathematics. While playing games is often a great way to engage students, the games need to be meaningful and allow them to think about what, why and how the things they are doing apply to their understandings. I decided to modify the problem to fit my student’s needs. I wanted my students to think, process and question.

What I also enjoyed about this was that it challenged them in the Statistics and Probability strand of our mathematics curriculum as well as problem solving and multiplication.

The following problem focused on:

  • Developing number sense
  • Understanding, recalling and applying multiplication facts to 9 × 9.
  • Describing the likelihood of a single outcome occurring, using words such as: impossible, possible, certain

What I watched happening in our classroom that day was incredible. The students were working in small groups and each provided with a blank 5X5 grid. Each group was also given two 9 sided dice. The first, and most important, task was that they choose a strategy to fill their grid with any products they thought would come up most when rolling dice and multiplying.

  • Some started inputting random numbers – 17, 23, 47, to which I posed the question ” What two numbers will you need to roll in order to reach this product?” The looks on their faces when they realized that no two numbers could ever multiply to reach these products was when the lightbulb moments began to occur. They then started to focus on their facts for possible products.
  • Some inputted products for the facts they knew which showed me which ones they were comfortable with. When I saw this, I asked them to input products they are not sure of. The goal was for them to expand beyond the basics to the more complex numbers.
  • Others began to get strategic. They were only inputting products to which multiple numbers rolled could bring about the same result. For example: 24 which is a result of 3×8 and 4×6 or 18 which is a result of 9×2 or 6×3 which increased their odds. This process required a strong knowledge and understanding of factors and probability.

They all were so heavily engaged in trying to fill in their grid with the best possible outcomes and working on factors, products, facts and probability that I couldn’t stop them, nor did I want to! They loved this challenge so much that the lesson extended into 3.5 periods that day with everyone fully engaged and learning.

They were also keeping track of which numbers rolled the most, which factors were more prevalent and why and what facts were correct on a separate google doc as they “played bingo”. Once their first round was completed, they then had to create another grid based on the information gathered from the first. Their task was then to change their first strategy using the new information in order to create a grid even more conducive to multiplication and probability. This required a deeper processing of information and statistics to which all then began to rethink their original ideas.

Upon completion, each student posted a reflection on their blog based on our problem of the week criteria.

Here are a few examples:

Ashley – Multipingo POW- Reflection 

Ian – POW Reflection – Multipingo

Kylie – POW Multiplication Reflection

I was very proud to see their growth especially as these concepts are some of our biggest challenges this year. They have come so far from just plugging in numbers and answers to actually breaking them apart, playing with them and understanding the relationships between them. This is an area that I hope to continue to grow and foster as we build a love of mathematics.

Share

Our Multiplication Strategies

We have started to apply our understandings of place value and multiplication and extending our knowledge to multiplying two by two digit and three by two digit numbers.

In our classroom, there is no “right” or “wrong” strategy, it is about what works for you. Whichever strategy a child feels most comfortable with and understands not just the application of but the why of, is the best.

We have shared and learned three different multiplication strategies and the amazing Jessie Krefting has created mini-videos demonstrating some of them. Students do not have to demonstrate mastery in all strategies, but must find one they understand and can apply when required.

1. Standard Algorithm

2. Caroll Diagram

3.  Partial Product and Why Is Math Different Now by Dr. Raj Shah

Students have now started an inquiry math project called Resort Report.

All mathematical applications will be completed on paper so students can demonstrate their understandings, then uploaded to their document for a complete view of their learning.

Share

Classroom Learning – Term Two Update

Hi everyone,

I hope you all have had a wonderful holiday break and a great first week back to school! We eased back into our routine last week and have begun some new projects. Below is a brief overview of the learning focus for in our room for this term:

Language Arts

We are finishing the book Out Of My Mind for our read aloud and students will continue making predictions, connections, inferences and asking questions for our reading strategies. They will post their reflections on their blogs and this term we will have a deeper focus on conventions in their writing. Emphasis and assessment will be placed on capitals and punctuation use in all writing.

We will also be focusing on the Organization trait in writing and students will be learning how to gather their thoughts and compose them in a fluent way. We will start a group read aloud on the book Wendell The World’s Worst Wizard and students will have the opportunity to write their own stories with detailed beginning, middle and end while also connecting predictions, inferences and questions with other classes also reading this book.

Students will also start their own book clubs and literature circles this term. Books will be chosen by student groups so as to focus on their interest but also their instructional levels. This may involve some at home reading if a student is not able to read in time allotted in class time. They will meet daily with groups and discuss the book, its contents, their reflections and predictions. Individual at home reading is still to continue whenever possible and is to be recorded on Good Reads or in their reading duotang  – whichever they have been assigned. Students are encouraged to continue to review their books, provide recommendations and search for additional books they want to read on Good Reads as well as set their 2015 Reading Challenge goals.

Our Reading Tree!
Our Reading Tree!

We had a beautiful Reading Tree drawn and painted by the incredibly talented artist Aiden. which we cut out and placed in our room. Students have begun to fill it up with all of the books they have read and rated. Our goal is to have it overflowing by June with all of the books we have read!

Mathematics
We are working on our multiplication strategies with integrated division strategies so students can make the deeper connections between the two with a focus on fact families and deep meaning and understanding of multiplication and division. Students are also working in groups on Tuesdays and Wednesday with Mrs. Krefting‘s class to strengthen their mathematical understandings. We also are continuing with our Problem Of The Week every Fridays and students will reflect on their processes on their blogs.

This term we have also started participating in the Math Photo A Day Challenge with other classrooms around the world. Students are provided with mathematical prompts daily and they are to find and represent their understandings through a photo. We have begun to tweet our photos on Twitter using the hashtag #MathPhotoADay and I will curate all of their photos monthly and post them to this blog for you!

We are also learning how to use charts and graphs by integrating our understandings with an upcoming Science unit of Weather. Students will be graphing weather trends globally.

Science
We began our Classroom Chemistry unit and students have started learning about the States of Matter : Solid, Liquid and Gas. We have watched a Bill Nye video and they have implemented their jot note skills on the states of matter. Students will begin experiments this week with key learning features: mixtures, crystallization, properties of matter and chemical reactions.

Social Studies
Students have worked so incredibly hard on their family history presentations and we are all so honoured to learn about one another’s ancestries and family backgrounds. They began their presentations to our class this week while at the same time received feedback from both myself and two peers. They have been using an assessment tool and interactive feedback document in their Google Docs which allows them to leave and receive peer and teacher feedback. As a student presented, two peers were leaving them feedback and everyone else was practicing their jot note taking and picking out the most important features of their peer’s presentation. I have never been more proud of the hard work and dedication they are demonstrating!

IMG_0353
Presenting, providing feedback and taking jot notes!
Working hard on our presentations and our feedback/assessment documents.
Working hard on our presentations and our feedback/assessment documents.
Providing feedback and taking jot notes, working on our 1000 piece Map of Canada puzzle and presenting!
Providing feedback and taking jot notes, working on our 1000 piece Map of Canada puzzle and presenting!

We will be meeting with Mr. Kolody and Mrs. Krefting’s class this week and re-presenting our family histories in small groups and making connections between the histories of one another.

This term we will also be focusing heavily on the Regions of Canada. There are six regions:  Atlantic, Arctic,  Plains, Canadian Shield, Great Lakes St. Lawrence and The Cordillera. We will be diving deep into the Arctic and the Great Lakes St. Lawrence regions and then collaborating with our peers in  Mr. Kolody and Mrs. Krefting’s class to make the connections between the other four regions. Students will research and participate in a variety of activities to deepen their understanding of each region. They will then write a persuasive argument for one of the regions and present to the LC 5 groups in a Socratic Circle.

Students who are participating in the Minecraft region creation can continue and share their building as they go.

I will continue to update you on our learning adventures as we continue!

Miss D. Ariss

Share

Classroom Learning – November 24 – November 28, 2015

November has flown by in our room and we are looking forward to bringing together all of the incredible projects and learning we have been doing this term.

The following is an update on the activities happening in LC5B!

Language Arts

We have started a group read- aloud on the book “Out Of My Mind“. Its an incredibly powerful story of an 11 year old girl diagnosed with Cerebral Palsy and the social and academic challenges she faces. The students have made some deep connections with the main character and are learning how to express empathy and understanding. I am reading this book to them and together we are discussing our thoughts and feelings. The students have also started to blog their own questions and understandings.

We are continuing with our daily reading and ensuring every student has access to reading materials reflective of their interests and ability. Please do let me know if students are not bringing any material home for additional reading time when possible.

Mathematics

We are shifting our main focus to multiplication now, however place value and estimation will still be a continued focus year-round to ensure understanding. The students are also meeting in three smaller groups for two periods a week with Mrs. Krefting’s class to work on combined skills and we continue with our problem of the week every Friday.

This week’s problem was called Grasshopper Jump Fest and I was so proud to see everyone just dive into solving it in their own ways. Students have now built the confidence to attempt problems without fear or hesitation from the work we began at the start of the year. We are working now on how to explain our thinking and how we are actually solving problems. This involves a strong understanding of one’s own strategies and how and why they applied those.

We all have our own strategy for solving the problem!
We all have our own strategy for solving the problem!
Students showed a lot of pride in their demonstrating their understandings.
Students showed a lot of pride in  demonstrating their understandings.
Focused and enjoying the level of difficulty of the problem!
Focused and enjoying the level of difficulty of the problem!
Chose to use Google Draw to work through her problem!
Chose to use Google Draw to work through her problem!

A few of the students were so proud of their process and in demonstrating their understandings that they asked me to video them solving the problem. As you can see below, some succeeded and the ones that didn’t during this taped version, continued on despite that fact and then refined their process with the feedback from myself and their peers. At the end of our lesson, they had all achieved success and began their reflection blogs.

Science 

We are wrapping up our units on Electricity and Magnetism. The students are working on their final projects which is to build a mechanism that features a working circuit and an element of magnetism. They have all done their research and will begin to plan their experiments this week. Our next unit is weather which will be a year-long focus as weather is happening every day around us. We have started watching and interpreting the weather radars on the weather network as well as tracking weather systems heading our way and globally. The students were fascinated by the extreme snow conditions in Buffalo, New York last week and began to question how being surrounded by lakes causes a Lake Effect. They also started to make connections between that and our location in Alberta versus British Columbia.

Social Studies

The students are now working on putting together their presentations with the information collected from you about their histories and heritage. They refined their questions and understandings last week and started exploring different presentation options. They were provided with a few technology tools as well as poster and paper options and were asked to choose which style worked best for them to represent their families’ story.

Art

We love art in LC5B! Its never an easy task but it allows for students to demonstrate their own creativity. We worked on the use of chalk pastels and the aspect of defining space. Students are often asked to fill in every piece of a project and not to leave any white spaces, however with our chalk pastel pieces, that white space helps to define texture. Students were pushed and directed to actually colour outside of the lines and to make their images rough and not refined.

These are their scruffy Woozles:

Taking ownership and hanging their art pieces!
Taking ownership and hanging their art pieces!
Working together to display their work!
Working together to display their work!
Nadine's combination of colour and texture wowed us all!
Nadine’s combination of colour and texture wowed us all!

Really looking forward to this week!

Miss D. Ariss 

Share