Download Mathematical Practices - Pearson-Global

Using the Interactive Whiteboards to Focus on the
Mathematical Practices of the Common Core
Mark Jamison, Ed.D.
Director, Technology Integration Services
Pearson School Achievement Services
December, 2011
Big Ideas
·The mathematical practices of the Common Core State Standards for
Mathematics (CCSSM) are multidimensional behaviors that should be utilized
daily in lessons.
·Classroom instruction must reflect teacher modeling of the character and expertise
inherent to the discipline of mathematics.
·The interactive whiteboard serves as a unique tool to enhance the development of the
mathematical practices in a teacher's 21st century classroom.
Outcomes
·Engage in thoughtful discourse related to the mathematical
practices.
·Explore online resources and interactive applets.
·Identify product-specific tools and resources available for enhancing
mathematics instruction around practices using the interactive
whiteboard.
·Build presentations that illustrate an understanding of the
mathematical practices.
·Share and discuss lessons, concepts, and examples in an online environment.
#5
Mathematical Practices
·Make sense of problems and persevere in solving them
·Reason abstractly and quantitatively
·Construct viable arguments and critique the reasoning of others
·Model with mathematics
·Use appropriate tools strategically
·Attend to precision
·Look for and make use of structure
·Look for and express regularity in repeated reasoning
#5
Number to 20
1. Start with the number 1, and take turns counting to 20.
2. You can say either 1 or 2 consecutive numbers. (no skipping numbers)
3. The winner is the person that ends on the number 20.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Multiple Representations
7–12
K–6
Understanding
Mathematical Thinking
Verbal Descriptions
(spoken or written)
Pictures
and/or concrete models
Graphs
Tables
Algebraic formulas/
symbolic representations
(Van de Walle, Karp, and Bay-Williams 2010, 27)
# 11
Changes Over Time
Situation 1:
The number of wolves in Yellowstone National Park from
1872 (when the park was established) to today
Situation 2:
A child’s internal body temperature from the time before
she contracted the flu, through her illness, to the time
when she was well again
Situation 3:
The amount of time your sister spent on her cell phone, beginning with
the time before she met her boyfriend, through the time of their
relationship, to the time when thy broke up
Situation 4:
The speed of a taxicab as it makes its way through the
traffic in Manhattan
(Schwartz 2008, 265-267)
# 12
Outcomes
Pool Border
How many different ways can you find to count the
border tiles of an 8 x 8 pool without counting them
one at a time?
(Van de Walle, Karp, and Bay-Williams 2010, 257)
# 13
Pool Border T-Chart
Name
# 13
Plan
Pool Border
Figure Number of Border Tiles
Number
Figure 1
Complete the Table
# 16
1
2
3
4
5
6
7
8
8
Pool Border Work Mat
# 16
Pool Border
Figure Number of Border Tiles
Number
1
2
3
4
5
6
7
8
# 16
8
10
12
24
28
32
36
Thank you!
Using the Interactive Whiteboards to Focus on the Mathematical Practices of the
Common Core
Mark Jamison, Ed.D.
Director, Technology Integration Services
Pearson School Achievement Services
December, 2011
References
Common Core State Standards Initiative. 2010. “The Standards: Mathematics.”
20, 2010.
http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf.
Schwartz, James E. 2008. Elementary Mathematics Pedagogical Content
Teachers. Boston, MA: Allyn & Bacon.
Van de Walle, J. A., Karp, K. S., and Bay-Williams, J. M. 2010. Elementary
School Mathematics, Teaching Developmentally. 7th ed.
Pearson Education, Inc.
Accessed October
Knowledge: Powerful Ideas for
and Middle