In this session you will consider ways to:
When students enter a classroom, they take a look around – this space will be their ‘home’ for the next nine months. How is it set up? Where will they sit? Who will sit by them? Where will they put their ‘stuff’?
This is not only students’ ‘home’, it’s also your home! It requires thought and planning to set up a classroom. There is not one way to do this, but all the questions raised above (and others) do need to be considered as you create the learning community that is your classroom.
Work Setting: Students will be working alone, in pairs, in groups and as a whole group during math class. One lesson could involve students moving from one setting to another. The classroom needs to be arranged in a way that they can easily transition between settings.
Students need access to math tools such as anchor charts, sentence stems, 100’s chart or number lines.
Where will you display math tools and anchor charts so students have access to these tools as they work at their seats?
Where and how can strategies and student work be displayed so students can refer to them as they work?
Manipulatives and Tools: There are a number of math resources that need to be stored in the classroom. Some materials are frequently used and other materials are used for a limited amount of time. Think about how you’ll store the materials so students have easy access.
Make math manipulatives and tools accessible so students know where to find these and where to put them back after using them. Make your life easier: make them your partners in keeping things in order and handy.
Looking ahead…
Once the classroom is set up and the students arrive, the community building and learning can begin. We will address this in Activity 1.
The following cases are from the Investigations Implementation Guide.
In this activity, you will watch, read, and think about how to set expectations for mathematics learning in your classroom. Setting expectations for math class needs to happen at every grade. You will see how expectations and norms are set in one 5th grade classroom.
Chris Opitz, a teacher at Willard L. Bowman Elementary School, Anchorage School District shared the following…
Social and emotional skills (SEL) and understanding don”t just happen. The ultimate hope is that children come to school with healthy hearts and minds and the skills to communicate and interact effectively. But we all know that this is often not the case. Children come from wildly different backgrounds and experiences, and they bring their diverse skills and struggles to school.
When I think about this daunting task, I have to be a realist. Most people I talk with ultimately realize the importance of SEL skills and knowledge but feel overburdened with the sheer amount of content we are expected to teach in a very limited amount of time. A common statement is, “If I am to get through these math lessons, or this language arts curriculum, when am I supposed to teach the SEL skills? That’s the parents’ job.”
I understand this position and have had those thoughts myself, but my question becomes, “Without SEL skills and knowledge, how can we possibly teach and have students learn effectively?” I believe social interaction is a key ingredient to productive and efficient learning environments.”
Scenario: Imagine you are an elementary school student and your teacher has asked you to work in a small group to develop a class working agreement.
Imagine your ideal classroom. Record your ideas for the questions below.
Watch and listen to Lisa, a 5th grade teacher, as she shares how she builds the learning community by establishing a classroom agreement with her students at the beginning of the school year.
All classrooms and grades need to establish expectations for students to work in a safe math learning community. As Lisa shared, the agreement is revisited through the year. Even though the learning environment activity you experienced in this activity takes place in a 5th grade classroom, other grades can use and adapt the idea.
Jot down in your notebook any ideas you are thinking of using or adapting for setting norms and expectations in your classroom.
I am also very cognizant of the cultural backgrounds of my students. It is critical for me to create a learning environment where students feel safe to share thoughts and make mistakes as we all learn together.
It is important for me to support ELL’s development of the English language through careful planning that engages students in group work or partner work where they talk through representations and story contexts with one another.” p.6
Positive Norms to Encourage in Math Class By Jo Boaler
How to Teach Math as a Social Activity Chris Opitz, Edutopia
In this activity you will read cases written by teachers from different grade levels. In their classrooms learning is central, mistakes are opportunities, and all children are supported in learning math.
Read at least two of the cases below.
Setting Up the Mathematical Community Cases
In your notebook respond to the questions at the end of two of the cases you read. Specify which cases you read using Grade and the name of the case.
… in a 1998 study at Columbia University with Claudia Mueller, Dweck investigated the relevance of the types of praise that teachers offer students in conveying mindset. This study, conducted with fifth grade students, shows that when teachers use personal praise (for their intelligence), it tends to put students in a fixed mindset, whereas using process praise (for their effort or procedure) tends to foster a growth mindset.”
Read the message a teacher posted to start her math lesson. She begins by praising for the class’s determination, motivation and their willingness to share their strategies, based on their previous day’s work. Her praise is connected to behaviors, rather than a comment that’s detached such as “You’re all awesome”.
Read more about the use of praise below.
Praise Children for Effort, Not Intelligence, Study Says, New York Times
Sam struggles in math. Sam has trouble understanding the information in a word problem, and representing it is therefore challenging. The issue is often related to language. For Sam, every problem is a new problem. Sam doesn’t think about the “what do I know that can help me here?”
Charlie is always eager to be the first to share the answer to a problem and his strategy. The answer is most often correct, though Charlie resists using any tools (number line, arrays, 100 Chart). I worry that Charlie is bored and wonder how to challenge him. When I think about whom to pair with Charlie, I most always find a student who is average because Charlie is very competitive, yet is also a good helper when he realizes someone needs help.
Describe your own Sam and Charlie in your journal
In this activity you will look at the mathematical practices and how they impact student learning in the math classroom. You will also learn about Carol Dweck’s work with mindsets and how they impact learning outcome.
The Common Core mathematics standards include both content and process standards. Content standards include the mathematical knowledge and skills students should learn. The process standards (Mathematical Practices) specify the mathematical ways of thinking students should develop while learning mathematics content. These Mathematical Practices build on the NCTM Process Standards and the five strands of mathematical proficiency outlined in the National Research Council’s (Adding It Up: Helping Children Learn Math).
NCTM Process Standards
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NOTE: These five strands are interwoven and interdependent. How students acquire mathematical proficiency and how teachers develop that proficiency in their students are also interwoven.
Mathematical Practices describe ways in which developing student practitioners of the discipline of mathematics increasingly ought to engage with the subject matter as they grow in mathematical maturity and expertise.”
Read The following document provides K-5 examples of the Mathematical Practices. Standards for Mathematical Practice: Commentary and Elaborations for K–5
Think about Mathematical Practices examples for your grade level. Choose a grade level to focus on if you are not a classroom teacher. Record the examples in your notebook.
Read and listen to Carol Dweck as she shares her findings about Growth Mindsets. Then read and reflect on a chart developed by NCTM that describing unproductive and productive beliefs about teaching and learning mathematics.
What are growth and fixed mindsets? How do you develop a growth mindset?
In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment.”
Learn more as Carol Dweck shares her research on growth mindset.
What is your ‘yet’? Think of a growth mindset you want to set for you as a teacher and for your students. Record your thoughts in your notebook.
Read How to Encourage Students by Carol Dweck from article Revisits the ‘Growth Mindset, Education Week, September 2015
Teachers’ beliefs influence their teaching and learning. Our believes teaching and learning are often formed from their school and/or family mathematics experiences.
Read Beliefs About Teaching and Learning Mathematics from Principles in Action NCTM
In your notebook, describe how you will embrace productive teaching and learning beliefs to enact a math learning community where CCSS Mathematical Practices, a growth mindset and praise focused tangible evidence are central to students’ math learning and your teaching practices.
As you work through this course, consider how productive beliefs, a growth-mindset and enacting the Mathematical Practices will help you support the math learners in your classroom.
No matter what your ability is, effort is what ignites that ability and turns it into accomplishment.”
When students are given fixed messages about their own potential – with ideas that they are smart or not – they develop ‘fixed mindsets’. Such mindsets impact students’ learning greatly and they have been associated with long-term low achievement and avoidance of harder work (Blackwell, Trzesniewski, & Dweck, 2007; Boaler, 2013a; Dweck, 2006b).
In a recent study the students found to be most impacted by fixed messages, were those who were placed into top tracks (Romero, 2013). Ability grouping sends a fixed mindset message to students – that they are smart or not – and fixed mindset thinking is detrimental to students in many aspects of learning (Dweck, 2006) and at all levels of achievement.
One of the groups of students with the most persistent and damaging fixed mindset thinking is high achieving girls, who persistently avoid STEM subjects at high levels (Boaler, 2014; Dweck, 2006a).. …“
How Can Research on the Brain Inform Education? SEDL
Every Kid Needs a Champion –Rita Pierson
Reflect back on your experiences in this session. Share one “aha!” and one question related to establishing a community that supports math learning.
Complete the Session 1 Notebook page using the indicated prompts. In the final field of your notebook, reflect on the key take-aways from this session for your own learning and record ideas that you will implement to support math learning.
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