Investigations Math
“We are usually convinced more easily
by reasons we have found ourselves
than by those which have occu...
4v

2/9 =

Please solve.
• Erica has 4 chocolate bars. If she gives 2/9 of
a bar to each of her friends, how many friends
can get some chocolate?
•...
http://www.youtube.com/watch?v=v
MY_-AQc-4s&feature=youtu.be
Framework for 21st Century Learning
• Learning and Innovation skills are what
separate students who are prepared for
incre...
• Students who do demanding work in school
perform better than students who are given
less demanding work (Chicago School
...
Balanced Mathematics Program
Conceptual Understanding
Conceptual Understanding

Students with Conceptual
Understanding…
• know more than isolated facts and methods,
• know why ...
“Education is not just about learning ‘the
answer’ but also about learning how to
think, question, and continually learn.”...
Make a Fraction

4
•
•
•
•

5

6

Make the smallest possible fraction
Make the largest possible fraction
Make the fraction...
Decimal Computation
• 31 X 0.4865 = 1508150000
• 17 X 2.685 = 45186
• 2.5 X 0.9875 = 246875
The Observation Tool
Games in Investigations
• Games provide engaging opportunities for
students to deepen their understanding of the
number sy...
Games in Investigations
• Games provide repeated practice without
requiring the teacher to provide new
problems.
• While s...
Lower School Math Night Presentation
Lower School Math Night Presentation
Lower School Math Night Presentation
Lower School Math Night Presentation
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Lower School Math Night Presentation

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This is the power point presentation that framed our discussion. If you have questions, please contact John Heffron, LS Principal, or Chris Bezsylko, Curriculum Director.

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  • How many of you have had to solve a division of fractions problem like this in your real life, say in the past week, or month?How did you feel about Math in school? Raise your hand if you loved Math in school.How could you test to see if this is the right answer? How do you know?
  • where would you place this task on the R/R framework and why?
  • Lower School Math Night Presentation

    1. 1. Investigations Math “We are usually convinced more easily by reasons we have found ourselves than by those which have occurred to others.” ~ Blaise Pascal
    2. 2. 4v 2/9 = Please solve.
    3. 3. • Erica has 4 chocolate bars. If she gives 2/9 of a bar to each of her friends, how many friends can get some chocolate? • How many 2/9s are in 4?
    4. 4. http://www.youtube.com/watch?v=v MY_-AQc-4s&feature=youtu.be
    5. 5. Framework for 21st Century Learning • Learning and Innovation skills are what separate students who are prepared for increasingly complex life and work environments in today’s world and those who are not. The include: – Creativity and Innovation – Critical Thinking and Problem Solving – Communication and Collaboration
    6. 6. • Students who do demanding work in school perform better than students who are given less demanding work (Chicago School Research Project) – Work that requires the construction of knowledge through disciplined inquiry including the use of in-depth understanding – Work that requires elaborate communication – Work that has value beyond success at school
    7. 7. Balanced Mathematics Program Conceptual Understanding
    8. 8. Conceptual Understanding Students with Conceptual Understanding… • know more than isolated facts and methods, • know why a mathematical idea is important and the kinds of contexts in which it is useful • are able to learn new ideas by connecting them to ideas they already know, and • are able to remember or retain ideas • • • • now more than isolated facts and methods, know why a mathematical idea is important and the kinds of contexts in which it is useful are able to learn new ideas by connecting them to ideas they already know, and are able to remember or retain i
    9. 9. “Education is not just about learning ‘the answer’ but also about learning how to think, question, and continually learn.” - J. McTighe & G. Wiggins, “Opening Doors to Student Understanding”
    10. 10. Make a Fraction 4 • • • • 5 6 Make the smallest possible fraction Make the largest possible fraction Make the fraction closest to 2 Make the fraction closest to 1 9
    11. 11. Decimal Computation • 31 X 0.4865 = 1508150000 • 17 X 2.685 = 45186 • 2.5 X 0.9875 = 246875
    12. 12. The Observation Tool
    13. 13. Games in Investigations • Games provide engaging opportunities for students to deepen their understanding of the number system and operations and to practice computation. • Playing games encourages strategic mathematical thinking as students find an optimal way of “winning” the game.
    14. 14. Games in Investigations • Games provide repeated practice without requiring the teacher to provide new problems. • While students are playing the games, the teacher is free to observe students or to work with individuals or small groups.

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