As we work through our measurement chapter, students are learning to be more precise by watching out for gaps and not overlapping. These are skills that will sharpen with time and exposure. Allowing students to work together to tackle how they will measure and what they will measure with, also provides invaluable skills.
When students are given the opportunity to work together on tasks, they are forced to use mathematical language and reasoning skills to explain their thinking with their partner/group.
In the pictures below students were placed in groups to measure different paths. They had to agree as a group which tool they would use (paper clips, tiles, straws, string or paint stirrers). As they traveled from path to path, their measurements became more precise because they collaborated and discussed their strategies for measuring. The lesson to be learned here is that with time, collaboration and the teacher stepping to the side, students can figure out everything we want them to. Know what the key ideas allow the learning to happen!
In these initial phases, we are teaching kids how to reflect. To look over their week and explain certain images where they learned, wondered, or were confused about. Many have never been asked to “reflect”, especially in math. As we begin this year, we are trying to introduce this and make it a habit. The hope is that the mathematical language becomes stronger and the thinking becomes deeper and meaningful to understanding concepts better.
Follow our Journey. Lesson Study with a Focus on Visualization.
Jugyou kenkyuu, a Japanese phrase gives us the term “Lesson Study”. Introduced in the U. S. in the late 1990s, interest in Japanese lesson study remains strong in the education world throughout the United States. Our Lesson Study this year will focus on visualization and metacognition.
Lesson Study & Mathematics
Lesson study works well across education and in particular, in improving mathematics education. We will wrap up professional summer reading on visualization in September with a look into the routines we create in classrooms that promote visualization. During “Introduction to Lesson Study” in October, we will explore what lesson study is, how it works, how to use it, and best practices with a focus on creating metacognition in students.
Pre-Lesson Study Questions
We engaged our focus group from St. Edward School in Vero Beach by asking the following questions:
What attracted you to this Lesson Study?
Overall the participants felt this lesson study would improve their ability to use visualization strategies in their own classrooms. They felt the experience would allow them to “dig deeper” into learning the best way to improve their teaching skills to build visualization.
What do you hope to learn from this Lesson Study
Participants generally responded similarly, wanting a deeper understanding of the science behind visualization, learning how to integrate visualization into their daily teaching, and using visualization to help students see concepts in a different way.
What is visualization to you?
It is creating a picture in your mind, being able to ‘see’ what you are hearing or reading to help you better understand the lesson, and it brings life to situations, assisting a student in understanding the concepts being taught.
What do you feel you already know about visualization? (before reading)
The response to this question was consistent with all participants. All felt that visualization was a way of seeing something in your mind to better or fully understand it and using it in math as well would bring life to situations and assist students in better understanding the concepts being taught.
Ideas on how to get kids to visualize math?
Using various concrete and pictorial models
Incorporating color in our board witing to connect ideas
Relating ideas especially in the operations
Have children create a short movie in their minds with each math concept so they can ‘see’ the process and verbalize it before computing
What questions do you have before we start the lesson study?
Can all students visualize?
How are other teachers using visualization?
Does the brain have any physical limitations with visualizing?
How do we teach visualization to students so they use it seamlessly when seeing a math problem?
What forces the brain to want/have to visualize?
We will be holding a private Lesson Study at St. Edward’s School, Vero Beach, FL in September.
Follow us through this Lesson Study.
We’ll be at Oak Hill High School in Nashville, TN, October 2, 2019 – October 4, 2019. Seats still open!
Click here to register for this event and for details on this Lesson Study.
Can you picture spending several classroom periods on the number 5? Specifically, breaking it down into parts, and putting it back together again? Sounds like a lot of time, right? But, spending this amount of classroom time to decompose numbers using number bonds, allows students to gain a deeper, more flexible understanding of numbers. You might be wondering what those periods would actually look like, how you’d keep your students engaged and learning for that amount of time. In this blog, we will explore exactly that.
What are Number Bonds
Simply put, number bonds are the different ways we can break apart numbers. Number bonds are all about the relationship between numbers and quantities. The relationships of parts to a whole. Building the foundation for all mathematical operations. Building mental images of number relationships. While it sounds like a simple concept, it can be difficult for students to learn. So, it is important to dedicate time for them to learn the concept.
Use of color and representation helps to connect ideas.