Explore +4
& Split grade math at École Elsie Mironuck Community School
As any teacher who has taught split grade math knows, it can be a considerable challenge. Balancing two sets of curricular documents, considering varied needs in the classroom, while trying to understand the intent and nature of the outcomes and indicators, the planning time and expertise required can be overwhelming.
Tricia Racette, grade 5/6 teacher at École Elsie Mironuck Community
school, wanted to try the Explore +4 structure in her math class. After attending the grade 4-6 sessions in the
2013-2014 school year and visiting classrooms, she decided that the structure
would allow her to support the varied needs in her classroom. In addition, she knew she would be teaching a split grade math class and realized that she would need to be able to create a structure in her classroom that would allow for her students to work independently while she was working with small groups of students.
Tricia co-planned with Instructional Consultant Monique
Bowes to get this structure up and running.
Initially, they met to look at the overlap in curriculum
between grades 5 and 6 math. They used the planning documents (suggested timelines, comparison of
curriculum content) provided by Regina Public Schools.
Comparison of units - Gr 5/6 - MMS
Grade 5 Math essential & extended outcomes
Grade 6 Math essential & extended outcomes
Grade 5/6 split grade outcomes
Once the timeline was created, they started planning what the structure of Explore +4 would look like in Tricia’s classroom.
Comparison of units - Gr 5/6 - MMS
Grade 5 Math essential & extended outcomes
Grade 6 Math essential & extended outcomes
Grade 5/6 split grade outcomes
Once the timeline was created, they started planning what the structure of Explore +4 would look like in Tricia’s classroom.
1. Reviewing the structure and the “must
haves” for the structure
As they began planning for Explore +4, they discussed the big
picture pieces. Having already examined
the time frame and layout for the courses, Tricia selected the grade level
outcomes that she wanted to begin with. She reviewed the big ideas for those outcomes, using the Explore +4 planning template to
help identify the big ideas and key understandings.
Next they reviewed the structure of Explore +4 and how it
might look in the context of her classroom.
The key components included the co-creation of the anchor charts with
students, understanding the various pieces (Math on my Own, Math with a Friend, Math Talk, Math Sense) but knowing that they were starting with only one
component (math on my own) as they wanted to build stamina with the students. They also examined the structure of the small
group that would be working with the teacher and what might be included in the
mini lessons.
2. Initial planning and examining the curricular documents.
Tricia selected the outcomes N5.1 and N6.1.
N 5.1: Represent, compare, and describe whole numbers to 1 000 000 within the
contexts of place value and the base ten system, and quantity.
N6.1: Demonstrate understanding of place value including:
greater than one million, less than one thousandth, with and without
technology.
Tricia knew that some of the students in the class would be
performing at varied levels. In
addition, she was teaching a split grade class with two different sets of
outcomes to assess. Together, Tricia and Monique examined the
indicators to understand the connection and overlap between grades, and also to
decide how to meet the needs of the students in the class. They wanted to know how the students performing
at, above or below grade level might be able to meet the outcome given the indicator in
question. This was by far the biggest
challenge throughout the planning, instruction and assessment. A planning template helped to determine which
big ideas were going to be taught, aiming for 10 minutes
for the whole class lesson.
3. Considering how to pre-assess students to identify the varied needs and gaps.
Tricia used the Saskatchewan Common Mathematics Assessments, available online through Blackboard (available in French and
English). These assessment tools allowed
Tricia to do some diagnostic assessment to understand what the needs were in
her classroom. Additionally, the adaptation of
this pre-assessment in a variety of ways (reduction of the number of questions,
focusing on smaller, more concrete questions, including visuals where needed,
allowed students to represent what they knew about place value in different
ways).
Right away, Tricia noted supports that might be required
when setting up her small group mini lessons. The students were performing at a
very wide range. She was able to use
this information to decide how she might group students and what the focus of
her mini lessons might be in the small group structure. Based on the diagnostic assessment, she needed to set up the classroom in a way
that would allow for these groupings to work. She added information to the planning template to determine who would be
in the small group at what time, what the instructional focus would be for the
whole group, and what students would be able to work on independently during Math
on my own.
4. Setting up the classroom environment
Tricia re-organized her classroom desks to divide her grade
5s and 6s. This allowed her to provide
instructional time if needed with a grade specific group. She located an additional table in the school
to create her small group space, and created a bucket with necessary materials
(white boards, manipulatives, place value flip charts, etc.). Since Math Talk is a key part of the
Explore +4 model, she started to develop a word wall with key terms and ideas,
and created a chart for measuring stamina growth.
The next step was getting started with the students. Some had worked with the Explore +4 structure
previously; some had developed stamina using the Daily 5 structure. It was interesting to note that student
independence in math is very different from student independence in reading. It was not an easy process to get students
working independently during Math on my Own;
this required a lot of review of the anchor charts and finding appropriate material to work on that was challenging without being far too
difficult… not an easy task.
5. Co-creating anchor charts with students
& building stamina
When Tricia began the whole class instruction with Explore +4, she included clear targets so students understood what they were working on and
expected to know. She identified the“I can”
statements for the students and put them on the board at the beginning of every
class, referring to them throughout the process. Together, Monique and Tricia explained the structure to the students and highlighted the importance of students having “uninterrupted learning time”
with the teacher when it was their turn in the small group. They worked with the students to co-create the
anchor chart. They talked about building
stamina and connected it to the work they had already done with the Daily 5.
Tricia found she needed to add another instructional element: what do you do when you are stuck or you
don’t understand the question? As the
students started developing stamina, they struggled when they were
uncertain about what to do next and because questions were only encouraged during
the check in time, students hit a wall.
As the classes progressed, and they realized that there would be check
in points before and during the class, they were able to develop some of the
skills needed to work more independently.
Tricia provided students with an “I don’t know what to do!” poster that
helped figure out the next steps for kids needing support. Building independence and stamina was a very slow
process. Some days went really well and
students worked well. Other days were
more challenging. However, it was very early in the process and that students would become
more proficient at working independently.
6. Math on My Own & working with small group
At the beginning of a new class, Tricia determined what her
focus would be for that lesson. She kept
the whole class lesson short, around ten minutes. In her case, because she was teaching a split
grade, some days she would need to introduce new concepts to one group or the
other, but the stamina built up by her structure allowed her to do so. She tried to not introduce two new concepts
in one day (meaning one per grade) in order to balance the planning and
support. Once Tricia did the whole class
lesson, she outlined the expectations for Math
on my Own and provided the opportunity for questions. Then she reviewed the anchor chart, and set
the timer. This allows her time to work
with her small group.
Based on the diagnostic assessment data and classroom
observations, Tricia had already determined which students she wanted to start
with during the small group instruction.
She tried hard to keep the groups small (4-6) and found that when she
added more, the group became too large to have meaningful instructional time.
Students very much enjoy working in the small group with
Tricia and all students benefit from this opportunity; some students require
reinforcement of concepts, some need further instructional support, some need
extension. The challenge is to respond
to the needs of an entire class when the students are so varied in their
learning styles and abilities, but in discussion with students, Tricia talked
about what “fair” looks like for students; students need different types of
supports to be able to understand and respond to the material.
The assessment piece can be a challenge as well. However, Tricia kept records of the outcomes for grades 5 and 6 and referred frequently to the indicators that allowed her to continuously assess and provide feedback as she was working with both the whole group and small groups of students. This allowed her make determinations about student understanding when one piece (a test, for example) didn't match what she knew about the student's abilities. Tricia also had to be very aware of the varied needs of her students as on occasion, she found that writing / reading skills could impact student ability to share what they knew.
The assessment piece can be a challenge as well. However, Tricia kept records of the outcomes for grades 5 and 6 and referred frequently to the indicators that allowed her to continuously assess and provide feedback as she was working with both the whole group and small groups of students. This allowed her make determinations about student understanding when one piece (a test, for example) didn't match what she knew about the student's abilities. Tricia also had to be very aware of the varied needs of her students as on occasion, she found that writing / reading skills could impact student ability to share what they knew.
7. Adding other components of Explore +4
Tricia gradually introduced the other components of Explore
+4 into her numeracy block. It was
important to her to have the students well established in the routine and
independence of Math on my Own before
introducing Math with a Friend, Math Talk and Math Sense. Tricia
introduced these slowly, and continued to co-create anchor charts with the
students to clarify expectations.
At this point, Tricia was able to adapt the structure to meet the needs in her
classroom. She is consistently trying to
find ways to identify what kids know and how they can express what they know
and sometimes the structure needs to change to suit this. She may choose to only do Math on my Own for a chunk of time if
students are struggling with stamina, for example, so that the independence is
reinforced.
Tricia will quite often break down an assignment into
various components – a section that can be done as reinforcement for the mini
lesson, parts that can be done during Math
on my Own, and parts that can be done as Math with a Friend. As part
of her Math Talk, Tricia has a math
word wall for visual reference, and has incorporated math related language and
questioning into other areas of her instruction as well. While teaching split grade math remains a
challenge, it is a benefit to be able to integrate math content and vocabulary
into other curricular areas.
Tricia has started using math journals to have students respond to a
variety of prompts related to the math concept being taught, and also has
students assess their own understanding of where they are regarding a specific
outcome.
Tricia found that Math Sense, in which students play math games (both game based and online) was
best left until the end of the week. If
it was a part of the daily class, students were distracted from their task and
were focused only on Math Sense and
so this is another way in which Tricia made this work for her. Students used a variety of web based
resources (link) as well as pre-made games that Tricia had prepared that
allowed them exposure to math concepts and skills while enjoying the
interaction with each other.
8. Big ideas: Making the structure work in her classroom
Finally, Tricia needed to figure out how to make the structure work in her classroom. Some of the big realizations included:
- She can make this structure her own; it can be adapted to suit the needs of the teacher and the learners in her classroom.
- Students required reminders and the visual of the anchor chart helped maintain consistency. When Tricia introduced new concepts she tried hard to keep an appropriate level of difficulty - challenging but not too difficult - otherwise students struggled to work independently.
- This structure allows for small group focus in other classes as well. Once students understand the expectations of the structure they can apply the general ideas across content areas.
- Students required reminders and the visual of the anchor chart helped maintain consistency. When Tricia introduced new concepts she tried hard to keep an appropriate level of difficulty - challenging but not too difficult - otherwise students struggled to work independently.
- This structure allows for small group focus in other classes as well. Once students understand the expectations of the structure they can apply the general ideas across content areas.
- The structure is not a "solution" - it is a means by which the teacher can work with small groups. Tricia found that the challenge was not developing the structure but responding to the extremely varied levels and needs of her students. However, the structure allowed her to focus on specific skills and fill some gaps as demonstrated in her pre-assessment and her ongoing classroom assessment.
- The structure was designed to allow Tricia to meet the needs of all of her students through small group instruction, however, when additional support was available this allowed her to connect with additional students during this time.
- The structure was designed to allow Tricia to meet the needs of all of her students through small group instruction, however, when additional support was available this allowed her to connect with additional students during this time.
- The whole group lesson was less imperative that she initially thought, given the time she has to work with individual groups of students.
Tricia's main goal was to make math accessible for students and to develop confidence in their mathematical skill. Given the small group instruction that allowed her to build from where students were, in addition to the Math on My Own tasks that were challenging but appropriate to the skill level, and the instant feedback that students got when they demonstrated their understanding in different ways (such as on whiteboards), she has seen tremendous growth in the confidence of students as they take ownership over their own learning.