“…even if they're very abstract, can appear to be almost visual, intuitive"
description
Transcript of “…even if they're very abstract, can appear to be almost visual, intuitive"
• “…even if they're very abstract, can appear to be almost visual, intuitive"
Music = other art form related to music
“…mathematical relationships between…frequency [and] notes”
Both have constants
and variables
Art provides other testing formatOther testing format
Ex: Designing a geometric theme park
Introduce CPMP
• f
Four Courses
that increase in difficulty
• f
Courses1-3: Algebra – Pre-Calc
Course 4: More detail
+ Calculus
“CPMP [students]…more positively disposed toward mathematics…”
CPMP builds stronger understanding
Increasedinterest in math
CPMP incorporates Realistic Math Education
RME takes advantage of one carefully chosen problem
Develop math skills while
solving
Teaches “Guided
Reinvention
Guided Reinvention – encouraging student’s own methods for solving math
CPMP is cooperative
Group work encouraged
help…
…and allowed student to see others tackle problems
“…because of CPMP…took third year of math”
What do the opponents say?
• Why change what is working?
Comfortable with current curriculum
Confidence in movement is
shaken
“Reincarnation of ‘new math’ movement”
Both stem from
societal discontent
Both added new content to K-12 curriculum
“New math” focused on set theory and rigorous proof (deductive reasoning
Current reform focuses on real-world application
through experimentation
“new math” failed
miserably
• What are the differences?
Pedagogy (art of teaching)
“New math” wanted students “actively participate in the construction of knowledge”
Our movement desires students discover their own, personal knowledge
These differences warrant a chance for
success!
“#3 Motivational Poster (I’m joking again!)." 27 September 2008. Online Image. Flickr. 22 November 2011. < http://www.flickr.com/photos/8722256@N08/2891200283/>.
“25th April 2009.” 25 April 2009. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/19535828@N00/3472765157/>.
Abdul-Razzaq, Aisha. “Supergirl - A." 9 July 2011. Online Image. Flickr. 22 November 2011. <http://www.flickr.com/photos/xnitexshadex/5917864389/in/photostream/>.
Belmonte, Jeff. “Contando Dinheiro." 28 October 2004. Online Image. Flickr. 22 November 2011. http://www.flickr.com/photos/72236935@N00/8228640/ .
Bondar, Balazs. “~ hooups slipdrops ~ protege moi ~ ;(." 9 November 2007. Online Image. Flickr. 22 November 2011. < http://www.flickr.com/photos/56122554@N00/1936323736/>.
“brain.” 20 January 2009. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/85603335@N00/3214197147/>.
Clay, Kat. “The black sheep.” 12 April 2010. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/40083594@N04/4513198279/>.
“Compound of 5 tetrahedra.” 23 January 2009. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/21649179@N00/3218351205/>.
Coppola, Michael. “074. Witches and Wizardry.” 25 July 2009. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/29034017@N04/4271438701/>.
“College Football." 16 October 2004. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/37996589600@N01/2016903/>.
Daniel, Chris. “Failing Street." 26 February 2009. Online Image. Flickr. 22 November 2011. < http://www.flickr.com/photos/77278574@N00/3312922051/>.
Danny. “The Never Ending Math Problem.” 8 September 2008. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/8524751@N04/2967752733/>.
“Deep Down Inside, We All Love Math T-Shirt Design.” 29 October 2008. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/9729909@N07/2984638227/>.
“earphones.” 15 February 2010. Online Image. Flickr. 30 November 2011. < http://farm5.staticflickr.com/4078/4734645625_8279c320c4_z.jpg>.
Fani, Frank. “Stop.” 14 October 2007. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/84983162@N00/1574112409/>.
Fernandez, Pablo. “Test de Rorschach 1.” 7 March 2008. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/7992704@N05/2330413677/>.
“Fight to survive." 29 July 2011. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/34726560@N00/5988740348/>.
Foy, Dan. “Emma Burton.” 18 May 2007. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/71753457@N00/525497288/>.
Frezzotti, Emmanuel. “Foto 100: Mirada contrapuesta." 28 June 2009. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/22094769@N04/3675314884/>.
Harper, Nicholas Scott. “trash (true story)." 8 November 2008. Online Image. Flickr. 22 November 2011. < http://www.flickr.com/photos/11278583@N08/3013657429/>.
“Head Inside: Axis of Evil.” 10 August 2006. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/86452432@N00/212152801/>.
Hoesly, Patrick. “701 – Puzzle – Seamless Pattern.” 4 May 2010. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/60057912@N00/4580408068/>.
Holden, Scallop. “Sunset Coaster." 11 May 2008. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/10428493@N05/2482435020/>.
“How Comfy.” 12 June 2008. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/8628862@N05/2573839971/>.
“I want change." 24 December 2004. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/43846837@N00/38871148/>.
“In the eye of a horse.” 30 March 2008. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/8070463@N03/2373757219/>.
“Jam Session.” 23 April 2008. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/24550592@N08/2435521669/>.
Kim, Nayu. “AMD Athlon 64 CPU on motherboard.” 8 August 2009. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/41506934@N03/3826328451/>.
Kromer, Philip. “2005Mar-AustinTypeTour-032.” 17 march 2005. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/90106931@N00/8916916/ >.
Liba, Josh. “27.365 – You Wouldn’t Like Me When I’m Angry...” 2 February 2010. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/26121794@N07/4324240167/>.
Linger, Dave.“"Quiz" grades in Ms. Swiger's class.” 7 September 2007. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/12606731@N05/1342024344/>.
Lucia, Jessica. “No Name.” 30 August 2010. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/23478852@N00/4957920409/>.
Magliery, Tom. “F." 22 July 2008. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/50318388@N00/2725001751/>.
“Maracas from Venezuela." 23 June 2011. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/14812197@N00/6097455176/>.
Martin, Chris. “calculus homework." 13 September 2006. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/21131327@N00/242803252/>.
“mosaic violin.” 30 June 2009. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/34076800@N04/3680719464/>.
Neto, Jamil Soni. “Help.” 7 January 2006. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/84709027@N00/82997429/>.
Pascoal, Daniel. “In Heaven." 28 April 2004. Online Image. Flickr. 22 November 2011. < http://www.flickr.com/photos/88935916@N00/6744045/>.
“rarest of all things.” 27 May 2007. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/31686852@N00/524505068/>.
Rosas, Carlos. “Objetivo 10x Leica." 14 November 2007. Online Image. Flickr. 22 November 2011. < http://www.flickr.com/photos/60893365@N00/2043559437/>.
Scott, Dagny. “Fail Road.” 18 December 2007. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/21939501@N03/2845637227/>.
Surran, Michael. “GHCA’s Computer Lab Running Gentoo Linux.” 27 February 2006. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/27315689@N00/408727666/>.
Tsevis, Charis. “Barack Obama: A mosaic of people.” 1 February 2011. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/88232386@N00/2279253649/>.
Vance, Jason. “clocks in a dumpster." 13 May 2011. Online Image. Flickr. 22 November 2011. < http://www.flickr.com/photos/46258270@N00/5716935685/>.
Venni, Fabio“Nooooooo.” 8 October 2005. Online Image. Flickr. 30 November 2011. < http://www.flickr.com/photos/96679304@N00/51132789/>.
Yap, Brian. “Sunset Coaster." 16 November 2006. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/30265340@N00/300115429/>.
Wheeler, Nick. “There’s Always One." 20 January 2008. Online Image. Flickr. 30 November 2011. <http://www.flickr.com/photos/7762644@N04/2205118143/>.