In This Issue
Annie's Experiment
GeoGebra 5 Goes 3D
Math Girls Talk About Integers
Online PD
Free:
Orientation Sessions
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Problem Based Learning Courses
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Mathematics Teaching and Learning Certificate
Master's Degree


Annie's Experiment
http://bit.ly/1r5qRcT
The corner deli sells roses in bunches of 6. If Dylan buys 3
bunches of roses, how many roses does he have?
An answer of 9 came back from almost half of the third graders
in some Philadelphia schools supported by the Math Forum many
years ago. Ever since, Annie, the Administrator of our Problems
of the Week (PoWs), has thought a lot about sensemaking in
problemsolving — and a few days ago, she invited anyone with
students in grades 25 to run an informal experiment.
Annie's sensemaking experiment consists of three math
questions from some Grade 3 benchmark tests; and three drawing
questions, which start with content similar to that in the math
questions, but instead ask students to "draw a picture of
the story."
Teachers have already shared some great comments on her blog;
scroll down her post of Tuesday to join the conversation and
freely download the questions, which link to an online survey:
http://mathforum.org/blogs/annie/2014/09/16/ joinmymathandsensemakingexperiment/
"Drawing a picture" of a math task is one way to change its
representation. That strategy falls right in the middle of
twelve others we've enumerated to move students beyond "I don't
get it." See our Problem Solving and Communication Activities
for all thirteen strategies, as well as more student handouts
that get kids "unstuck" and on to developing, formalizing, and
reflecting on their problemsolving strategies:
http://mathforum.org/pow/support/activityseries/

PoW taking place: math problemsolving moment of the week

"Some mentioned finding the 'least common multiple,' but
didn't clearly explain how that would help answer the
question. You could extend Kylee's method of writing all the
multiples until you got a number to show up in all three
lists. You would know that it is the 'least' common multiple
because it is the smallest number to show up in all three
lists. Kylee didn't actually use that method, but instead
found a quicker variation...."

 Annie, commenting on the FunPoW's Latest Solution

http://mathforum.org/pows/solution.htm?publication=4453
GeoGebra 5 Goes 3D
http://blog.geogebra.org/2014/09/geogebragoes3d/
Last Monday, GeoGebra rolled out a major new release. Among
many other new features added to the free dynamic mathematics
software, version 5 supports threedimensional geometry.
Try it in action on Dandelin spheres by moving points A, B,
or P:
http://tube.geogebra.org/student/m122750
GeoGebra 5 also adds features for

translation and rotation of scenes

curvefitting implicit curves

CAS commands such as Laplace, InverseLaplace, GroebnerLex,
and GroebnerDegRevLex

automatic proofs of Boolean expressions
First featured in these pages eight years ago, GeoGebra
encompasses geometry, algebra, tables, graphing, statistics,
and calculus. The GeoGebra 5 installers for tablets hit the
Apple, Android, and Windows app stores this week. To freely
download the new app for those devices, or for a variety of
desktops, visit
https://www.geogebra.org/download

Now taking place: math education conversation of the day

"With the start of a new school year, you get to see what your
students are coming into class with in terms of calculators. If
you have students with the new TI84 Plus C Silver Edition and
have questions or are curious what is new, see my attached
document on the TI84 Plus Tips. If students purchased a
TINspire CX and you are not yet an Nspire guru, see the
Getting Started Guide that I have made. Printsharepost. These
are mine that I give to you!"

 Dana, posted to the secondary (grades 912) discussion group
of the Association of Math Teachers of New York State

http://mathforum.org/kb/thread.jspa?threadID=2649934
Math Girls Talk About Integers
https://www.createspace.com/4980111
Bento Books has published the second volume in its Math Girls
spinoff series, Math Girls Talk About...
Math Girls Talk About Integers introduces students to a
variety of discrete math topics across five chapters:

Checking for Multiples

Prime Numbers

Number Guessing and Mysterious 31

Math on Clocks

Mathematical Induction
Each includes review problems and answers. The last chapter
tackles a proof from a Japanese college entrance examination,
and the appendix gives more challenging, openended problems.
Read the first chapter and check out the full table of contents
and index in this sample download:
http://bentobooks.com/resources/MGTAIntegerssample.pdf
As with the first volume from this series, featured here four
months ago, the math topics in Math Girls Talk About Integers
arise out of conversations among the characters from the young
adult novel Mathematical Girls — also by author Hiroshi
Yuki — the Japanese language version of which has already gone
through some twenty printings. For more of Bento Books'
publications, check out
http://bentobooks.com/publications/


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