Thursday, November 24, 2016

My Goal in Mathematics

My Action PlanRelated to my Mathematics Program


My goal:

Increase proportional reasoning skills in all students.

The importance of this goal:

One of the articles that I read during LE#3 emphasized the importance of proportional reasoning. I completed further research and found evidence, specifically knowledge of fractions in grade six can be linked to future success in high school math. Students who have a deep understanding of fractions are more successful in high school math than students who struggle with fractions at the grade 6 level.

One thing will I focus one:

One thing I will focus on is including a mini lesson on proportional reasoning in each classroom that I am in. I have looked back on the classrooms that I have been in, and the majority of the classrooms have been primary. Therefore, I will focus on creating mini lessons for primary classes.

I ensure I am making progress towards my goal by,

Ensuring my goal becomes more specific, “I will carry out a proportional reasoning mini lesson in at least 1 classroom per week”.
Short term actions will I take to meet my goal?
I will develop 5 mini lessons that can be used in Kindie/Primary classrooms. These lessons will focus on basic number sense and numeration lessons that are essential links to proportional reasoning, for example skip counting.
My long terms goals:
My long term goal is to develop mini lessons, focusing on proportional reasoning, from 4-8.
What resources can support me in meeting my goals?
The following resources can help me to meet my immediate goals:

Resources to support me in meeting my long term goals:



Math tools at school

Math tools at home


One of our goals at CHPS is making math fun for all students! In our grade 1 class, with help and support from our school librarian, we have developed math games that students will sign out of the library on library day, for our class that is Day 2. The math game will go home for a week, just like the library book. These math games give your child the opportunity to show what kind of math tools are used at school, and to show you how they are used at school. For instance, one of our centres at school is popsicle math, so one of the math home games is popsicle math. Popsicle math focuses on addition and subtraction of numbers up to 20; popsicle sticks will have numbers from 1-20 written on them, as well as addition, subtraction and equal signs. The object of the game is to pull out two popsicle sticks with numbers and one with an operational sign (plus or minus). With this information you make up a number sentence and then find the answer. For instance, you might pull out a 4 and a 12 and a plus sign. The number sentence would be 4+12=, or 12+4=, as you started out with the popsicle stick with the equal sign. This is a math centre that we love to play at school, and we hope you will love to play at home!

These math games will show you what kind of tools we use at school, but there are also lots of math tools in your homes that can help build your child's math knowledge. An easy math tool that most homes have are measuring cups and spoons, including your child in meal preparation and special baking opportunities gives them the opportunity to see real life application of math skills. If you find life hectic, and meal preparation a challenge to involve your child with, how about putting out the measuring cups and spoons for them, and have them measure out quantities of water into a bowl or pot. They will still feel involved in the meal preparation, have exposure to real life math applications, and have a bit of fun along the way!

Doing math at home is huge your child's mathematical knowledge development. The two ideas that have been presented will help tremendously, thank you for effort and time you have put into this important development process. If you would like to explore other opportunities to increase your child's mathematical knowledge development please explore the following links, which provide numerous ideas on how to infuse your family's life with math:


If you are looking for some online math content here are a few resources:


If you are looking for apps (free at the time of this post):


At school we are learning that math is FUN, and we hope that you can continue to encourage this growth mindset at home. Please let me know if you have any ideas to contribute or questions on how to make math fun at home.



Saturday, November 12, 2016

Math can be fun! One of the ways that math learning can be fun is learning math through picture books. This week’s post will focus on the use of picture books to engage primary learners in math. I will provide you with a quick summary of research that supports learning math through stories, give you some strategies and tips that I have found for integrating pictures books into your math block, and of course a great take away for you…. I will provide you with a list of 10 books and math topics related to each book, which will make it so easy to integrate picture books into your next math lesson.

McDonald and Rasch (2004) wrote an article titled “Picture Books + Math = Fun”. This article highlighted the idea that picture books provide visual images of abstract mathematical concepts that can be hard for students to understand, providing another way to see a particular mathematical concept. One example I have is the use of the picture book “Sir Cumference and All the King’s Tens: The Math Adventure”, by Cindy Neuschwander & Wayne Geehan, to visually show how lager numbers (3-digits) are composed. I use this in both primary and junior classrooms to show students how lager numbers are composed using base 10 concepts (i.e. 1s, 10s, 100s, etc.). Another reason I like using “Sir Cumference and All the King’s Tens: The Math Adventure” is the real life connections that can be made, who doesn’t like planning a party for their closest few hundred friends! So, the story may not be real life in the context of our everyday life but it shows how large event planners would need these skills.

Forbringer, Hettinger & Reichert (2016) provide a step-by-step guide to differentiating your math lesson with picture books, they use the phrase “Children’s Literature”, I think picture books creates a more appealing argument! The six step process starts with the teacher focusing on a mathematical concept, from here you search for a book that addresses the specific concept. Once you find the book, you create a learning goal based on curriculum expectations, and then craft a ‘thick’ mathematical question based on the story you have chosen, you will also want to come up with a few ‘thinner’ questions that will guide students when unpacking the ‘thicker’ question. Make sure you review any key ideas / access prior knowledge that students have on the topic, creating an anchor chart of these key ideas and skills will be a good reference for the students as they work on solving the math question you craft. As you review with your students, keep observational notes on where they are at on the skills learning continuum, my observational note system was a checklist with codes (E = emerging, ✔️= on track, M = mastered), at the top of the checklist column I listed the specific expectation I was observing. You will use these observational notes to select working groups, one group will have emerging skills, you will most likely have to spend time with this group to work on building their skill set, the second group will have skills that would allow them to be successful in solving the math question you developed, and the third group will need extensions or a more challenging question for the advanced mathematical skill set they show. At this point you can go back and revise the ‘thick’ and ‘thin’ mathematical questions for each of your skill groups. The planning is over, and it is time to implement! The anchor chart you created is up in the classroom for students to reference, you have come up with a minds-on activity that activates this prior knowledge, the picture book is close by, and the thick questions you developed can be quickly provided to students (I wrote the questions on chart paper and had them ready to post up on the white board with magnets). Consolidation of this math learning is up to you as you may already have a routine in place for students to reflect on their learning. If you want to switch-up how you consolidate math learning, I have successfully used math congress, bansho, and gallery walks. Here are a few resources that I have found helpful for consolidation:
ETFO summary of bansho, gallery walk, and math congress strategies: http://etfo.net/T4DU/sgmccw.pdf
Ontario Ministry of Education, Capacity Building Series on math talk in the classroom: http://www.edu.gov.on.ca/eng/literacynumeracy/inspire/research/CBS_Communication_Mathematics.pdf
Ontario Ministry of Education, Capacity Building Series on using bansho: http://www.edu.gov.on.ca/eng/literacynumeracy/inspire/research/CBS_bansho.pdf
Educator presentation on how bansho is used in the classroom: http://www.lkdsb.net/program/elementary/junior/OAME2007%20JapaneseBanshoHdt.pdf
Video of students explaining what a math congress is: https://youtu.be/ggTl6Uy8PSU

As promised, to finish off this blog post, I am providing you with a list of ten picture books that can be used for primary math lessons, including a big idea each book connects to, and links to lesson ideas. I sourced some of these book titles from the various posts that teachers provided to the math part 2 AQ course I am taking right now. 

Charlie Piechart and the Case of the Missing Pizza Slice by Marilyn Sadler
Big idea: NSN - Fractions, proportional reasoning

So Many Circles, So Many Squares by Tana Hoban
Big idea: Geometry & Spatial Sense

The Greedy Triangle by Marilyn Burns
Big idea: Geometry - shape identification and classification

The 500 Hats of Bartholomew Cubbins by Dr. Seuss
Big idea: Place Value, Data Management, Geometry

One Hundred Hungry Ants by Elinor J. Pinczes
Big idea: NSN - quantity relationships, counting, operational sense

Ten Little Bunnies by Nurit Karlin
Big Idea: NSN - quantity relationships, magnitude

The Thirteen Days of Halloween by Carol Greene
Big Idea: NSN - place value, magnitude, problem solving; Patterning & Algebra

Anno's Counting Book by Mitsumasa Anna
Big Idea: NSN - quantity relationships, counting, operational sense

Earth Day - Hooray! by Stuart J. Murphy
Big Idea: Place Value

Biggest, Strongest and Fastest by Steve Jenkins
Big Idea: Measurement, Spatial Sense

Here are additional resources that I have found useful in sourcing out picture books to use in primary math lessons:

I look forward to hearing about picture books you already use in your math classroom, or stories you have from trying out one of the books listed above.

References:
McDonald, S., & Rasch, S. (2004). Picture Books + Math = Fun. Book Links, 14(2), 9-14.

Forbringer, L., Hettinger, A., & Reichert, E. (2016). Using the Picture Book Extra Yarn to Differentiate Common Core Math Instruction. YC: Young Children, 71(2), 22-28.


ETFO ICT Conference

Exploring blogging and how to get started with blogging is one of the workshops I attended.