Math Investigations Overview

What does the class period
look like during Math Investigations?
Math
Investigations contains three parts: an Opening, a
Work Session, and a Closing.
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During the
Opening, for 5-10 minutes the teacher directs the
learning experience, helping the classroom community
participate in a common set of experiences that develop a
common vocabulary for the mathematical discourse.
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During the 25-35
minute Work Session the students work independently
and in small groups
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The 20-25 minute
Closing brings the students back together to share
what they learned as mathematicians. Sometimes the Closing
is used to clear up misconceptions that the teacher has
observed during the Work Session.
Opening
5-10 minutes
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Work Session
25-35 minutes
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Closing
20-25 minutes
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Whole
Group
Possible activities:
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Introduction to a
new problem
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A mini-lesson on a
skill related to the concept students are learning
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Analysis of a
problem solution or a problem solving strategy
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Explanation of the
assignment
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A check of how
things are going on current work
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Students work independently
or in small groups
Teacher monitors
student work:
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Meet with students
to guide and advise them to assess their progress
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Might make anecdotal
notes about student’s progress and difficulties
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Provide specific
individual or small group instruction
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Might use a
checklist to record observations
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Pose questions to
redirect student thinking
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Observe strategies
and misconceptions to be focused on during Closing
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Whole group
Possible activities:
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Selected students
share strategies/ solutions
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Teacher leads
discussion on how these strategies are alike or
different and which are most efficient
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Teacher summarizes
the concept that was the focus of the day’s work,
perhaps connecting it to concepts studied earlier,
or laying groundwork for concepts that will be
studied next
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Selected student
presents a strategy or approach that did not work
and the class analyzes why it did not work
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The teacher
highlights a misconception she noticed during the
Work Session and helps students see why it is
incorrect
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Homework is assigned
that reinforces and extends the day’s learning
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Math
Workshop?
It takes
a teacher about a month to six weeks to establish the
rituals and routines of the Workshop. They are explicitly
taught during the Opening. Mini-lessons might include:
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What students do
when entering the classroom
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How the room is
arranged
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Where specific
activities take place in the room
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Where things are
kept
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How and when
movement is constrained and not constrained
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How student work
and oral participation is respected
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What to do when
one activity is completed
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How and when to
use the tools of mathematics
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How to behave
when working with a partner, a small group, or participating
in whole class discussion
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How, when, and
where to turn in work
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How to get the
teacher’s attention
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How to behave
when other students are working/ talking
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How to leave the
classroom
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How to evaluate
work (one’s own or a peer’s work)
What
artifacts do you expect to find in the Math Workshop?
The
Standards
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The central artifact; all
activities and lesson relate to the standards
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Define what the
student must learn and how well they must learn it
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Are visible in the room
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Students know the standards
and explain how their work relates to the standards
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Students use the language of
the standards to describe and evaluate their own/other’s
work
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Teachers use standards to
create student assignments
The Mathematics Journal
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A place to record Problem of
the Day and solution(s)
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A place to record
assignments, to reflect on learning, to note things that are
confusing, to pose questions
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A place to record strategies
learned
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Each entry begins with a
date/ No pages torn out
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Students always bring
Journal to class and occasionally take it home to complete
tasks
Charts
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Teacher-made – place a value
on the work of the class
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Created during Closing
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Showcases work –
student-developed strategies and solutions
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Display for future reference
– a model for students to use as they develop understanding
General Math References
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Hundreds chart
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Number line (showing
positive and negative numbers)
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Problem solving methods
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Multiplication chart (skip
counting) – if applicable
Class Diagnostic Notebook (binder)
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Individual Standardized Test
results e.g., FCAT, County Benchmark data
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Individual school Diagnostic
results – tests and profile sheets
Display of
Student Work (bulletin board and/or wall space)
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Changed regularly to show
current work
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Accompanied by related
standards, circumstances of performance, rubrics
Word Wall
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Mathematics vocabulary
relevant to current work
Manipulatives (on shelves or in baskets)
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In central location and
labeled for easy access
Conference Table/ Area
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Accompanied with a
conference notebook or clip board to document meetings with
students
Student Portfolios (in binders or
hanging file folders)
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Showcase student work and
strategies used to solve problems
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May also store
graded/ corrected assessments once seen/signed by parents
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Math-related
Literature
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Each Investigation unit
offers a list of recommended literature to read aloud to
students
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