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Standards Presentation
By: Rebecca Neely
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
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.
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
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
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
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
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
Curriculum Materials
Number and
Operation
-counters
-manipulatives
-base 10 blocks
-fraction bars
-number lines
Algebra
-pictures
-objects
-graphs
-tables
-shapes
-models
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
Curriculum Materials
Data Analysis and Probability
-objects
-pictures
-data
-surveys
-tables
-graphs
-line plots
-histograms
-scatter plots
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.
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.

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Unit 3 standards presentation

  • 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.

Editor's Notes