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A teacher is planning a The activity is effective at showing
lesson on adding and students how to add and subtract
subtracting positive and integers but the standard is not aligned.
negative integers. The
teacher will use red
and black chips as a
manipulative and allow
students to develop
patterns for understanding
the addition and
subtraction problems. The
following NCTM standard is
associated with the lesson:
"Represent the idea of a
variable as an unknown
quantity using a letter or a
,symbol."
How do you rate the
activity and alignment
to the standard?
A teacher wants students to Students will use precise math language
write out how to use to express their reasoning.
positive and negative chips
to model operations with
integers.
How does this lesson address
the Communication
Standard from the Principles
for School Mathematics?
Which stakeholder is State departments of education
directly in charge of
choosing mathematical
standards?
,According to the Teaching teachers must (1) understand deeply the
Principle defined by NCTM, mathematics content they are teaching;
what does effective (2) understand how students learn
mathematics teaching mathematics, including a keen
require? awareness of the individual
mathematical development of their
own students and common
misconceptions; and (3) select
meaningful instructional tasks and
generalizable strategies that will
enhance learning.
A teacher is planning a The activity is effective at showing
lesson on finding the area students how to find the area of
of rectangles. The teacher rectangles, but the standard is not
allows students to use a aligned.
geoboard to create
rectangles and assist in
finding the area of those
rectangles. The following
standard is
associated with the lesson:
Measure and estimate liquid
volumes and masses of
objects.
How should the teacher
rate the activity and
alignment to the standard?
, Which type of understanding: Relational
Relational or Instrumental?
Giving your students a
problem and asking them to
explain how they arrived at
the solution
Asks students to demonstrate Relational Understanding
their reasoning
Relational or Instrumental: Instrumental. Consider, however, turning
Having your students this into relational understanding by
complete a ten question having students explain their answers
quiz to each other.
Relational or Instrumental: Instrumental: Competition and game
Having students compete to activities are fun and can help learning,
see who can complete the but make sure that it goes beyond
most questions demonstrating instrumental
understanding.
Relational or Instrumental: Relational. This question is a great way
Asking students "Was there to help students make connections
something in the problem either to other things they've learned
that reminded you of in class or things they've experienced
another problem you have outside of class.
done?"
Relational or Instrumental: Instrumental. This can be a helpful and
Having your students even necessary activity, but make sure
memorize the multiplication that students are able to use this for other
table to be able to answer activities that foster relational
questions faster.