The document discusses the NCTM principles of equity, curriculum, teaching, learning, assessment, and technology that guide mathematics instruction. It also discusses the Common Core State Standards' focus on depth over breadth, building coherent expectations from grade to grade. The NCTM and Common Core can guide learning, teaching, and assessment to promote student understanding and limit knowledge gaps. Teachers need professional development to effectively implement these standards and create an ideal math classroom.

1. Standards Presentation
By: Rebecca Neely

2. NCTM Principles
• Equity- high expectations for all students
• Curriculum-focus and coherence
• Teaching- understanding of content and
effective teaching strategies
• Learning-promote understanding
• Assessment-knowing what students know
• Technology-enhancing learning
National Council of Teachers of Mathematics. (2000). Principles and standards For School Mathematics. Reston, VA

3. Common Core State Standards
• Coherent, rigorous math expectations for
students
• Depth over breadth
• Focus on fewer concepts for mastery
• Standards are built upon one another from grade
level to grade level
• Shared math standards across states
Dickey, E. (2013). Common Core State Standards for Mathematics: Dream Come True or Nightmare to Come? Middle School
Journal, 44(3), 56-57.

4. How can NCTM Principles and
Standards and the Common Core
Guide:
• Learning
-describes what mathematical
instruction should enable
students to know and do
-describes mathematical content
for each grade level
-limits knowledge gaps because
students are exposed to same
set of standards in each grade
level at varying levels of depth
National Council of Teachers of Mathematics.
(2000). Principles and standards For School
Mathematics. Reston, VA
• Teaching
-provides teachers with the
teaching practices needed for
students to acquire
mathematical knowledge
-guidance for how math should
be taught with high
expectations, coherence,
understanding, effective
assessment, and technology

5. How can NCTM Principles and
Standards and the Common Core
Guide:
• Assessment
-guide instructional decisions to help support
student progress
-provides feedback to encourage
goal setting
National Council of Teachers of Mathematics. (2000). Principles and standards For School Mathematics. Reston, VA

6. How do NCTM Principles Support
Learning:
Equity
-high expectations for all students
despite their personal
background promotes variance
in teaching strategies, so that
students can reach those
expectations.
-these high expectations along
with the necessary support
help learners to over come
obstacles hindering success
National Council of Teachers of Mathematics. (2000). Principles and
standards For School Mathematics. Reston, VA
Curriculum
-coherent ideas built upon one
another within the school
year and from year to year
help students to develop a
deeper knowledge of
standards
-With a deeper understanding
they can apply their
knowledge to new problems
and situations

7. How do NCTM Principles Support
Learning:
Teaching
-teachers who have a deep
understanding of the concepts
they are teaching encourage
students to have a deep
understanding as well
-drawing upon multiple effective
teaching strategies provide
students with necessary
experiences to learn
National Council of Teachers of Mathematics. (2000). Principles
and standards For School Mathematics. Reston, VA
Learning
-promoting understanding rather
than memorization will allow
students to apply procedures,
processes, and concepts to
new problems they encounter

8. How do NCTM Principles Support
Learning:
Assessment
-necessary to drive
instructional decisions so
that a teacher can better
support student learning
National Council of Teachers of Mathematics.
(2000). Principles and standards For School
Mathematics. Reston, VA
Technology
-tools to support learning
by offering the
opportunity to reflect,
reason, problem solve
and learn deeper

9. Curriculum Materials
Number and
Operation
-counters
-manipulatives
-base 10 blocks
-fraction bars
-number lines
Algebra
-pictures
-objects
-graphs
-tables
-shapes
-models

10. Curriculum Materials
Geometry
-geo boards
-2D shapes
-3D shapes
-maps
-coordinate systems
Measurement
-clocks
-objects
-tools for metric and
customary measurement
(rulers, yard sticks,
measuring tape, meter
sticks)
-capacity kit for volume
measurement
-thermometers
-shapes
-scales

11. Curriculum Materials
Data Analysis and Probability
-objects
-pictures
-data
-surveys
-tables
-graphs
-line plots
-histograms
-scatter plots

12. Group Discussion
• Do you think the NCTM Principles and Standards and
Common Core will improve achievement scores? Why?
• How can we prepare for parental backlash?
• What are the advantages and disadvantages you see?
• What are the foreseen obstacles implementing the
Common Core?
• What professional development is needed to create
the ideal math classroom?
• My opinion is that the NCTM Principles and the
Common Core is ultimately better for students,
preparing them the 21st century despite the challenges
we may face implementing it.

13. References:
• National Council of Teachers of Mathematics.
(2000). Principles and standards For School
Mathematics. Reston, VA
• Dickey, E. (2013). Common Core State
Standards for Mathematics: Dream Come True
or Nightmare to Come? Middle School Journal,
44(3), 56-57.