MATH TOOLS NEWSLETTER - APRIL 2, 2005 - No. 25 Are you planning to visit Anaheim, California, to attend the National Council of Teachers of Mathematics 83nd Annual Meeting, April 6-9, 2005? If you are, we'd love to have you stop by Booth 448 in the exhibit hall, or attend one of our sessions focusing on Math Tools: Thursday, April 7, 3:00 - 4:30 Session 355 Desert Springs (Anaheim Marriott) Teachers of Teachers Workshop Math Forum @ Drexel tPoW: Using Technology to Help Students Solve Problems Presenters: Suzanne Alejandre & Cynthia Lanius Thursday, April 7, 3:00 - 4:30 Session 372 Room 213 C (Convention Center) Hands-On Computer Workshop (Mac) Sketchpad and More, Using the Math Tools Digital Library Presenter: Annie Fetter ***FEATURED TPOW Technology PoW: Balloon Booths http://mathforum.org/mathtools/tpow/17731/ Scale the size of a hot air balloon so you can make it fit through a narrow passage and hit a nail to pop it. ***FEATURED TPOW Technology PoW: Counterfeit Coins http://mathforum.org/mathtools/tpow/17799/ Find the fewest number of weighings that will identify which of the nine coins is counterfeit. A link to a Java applet from The National Library of Virtual Manipulatives (NLVM) is provided to help students think about the problem. ***FEATURED DISCUSSION Representation of concepts http://mathforum.org/mathtools/discuss.html?&do=m&thread=_____ra-48 ycc states, "I am interested in the roles of different representations in understanding concepts of mathematics in particular, and any discipline in general." ***FEATURED TOOL Tool: Wait for a Date http://mathforum.org/mathtools/tool/17866/ Students use Sketchpad to simulate a probability problem and then calculate a precise probability by reasoning about their model. The link to the tool begins downloading the zip file WaitForADate.zip, which contains both the sketch and a pdf file of the corresponding activity. ***FEATURED TOOL Tool: Kali Jeff Weeks http://mathforum.org/mathtools/tool/18059/ Kali lets you draw symmetrical patterns based on any of the 17 tiling groups. Even the youngest children enjoy Kali. Older students can systematically explore the wallpaper, frieze and rosette groups. The command "Show Singularities" and the Conway and IUC notation provide support for a theoretical analysis. Freely available for both Windows and Macintosh computers. ***FEATURED TOOL Tool: Poly Pedagoguery Software, Inc http://mathforum.org/mathtools/tool/17925/ Poly is a shareware program for exploring and constructing polyhedra. With Poly, you can manipulate polyhedral solids on the computer in a variety of ways. Flattened versions (nets) of polyhedra may be printed and then cut out, folded, and taped, to produce three-dimensional models. ***FEATURED LESSON PLAN Lesson Plan: Fibonacci-Like Sequences and the Golden Ratio http://mathforum.org/mathtools/lesson/18044/ In this activity, students develop the Fibonacci sequence and use a spreadsheet to investigate several of its interesting properties, drawing on a recursive formula to discuss arithmetic and geometric sequences, using exponential regression, calculating ratios, and exploring properties of Phi, the golden ratio. ***FEATURED SUPPORT MATERIAL Support Material: Links to Data The Fathom Team at KCP Technologies http://mathforum.org/mathtools/support/18062/ Key Curriculum Press has organized an area with links to data sets for use with their Fathom software. CHECK OUT THE MATH TOOLS SITE: Math Tools http://mathforum.org/mathtools/ Register http://mathforum.org/mathtools/register.html Discussions http://mathforum.org/mathtools/discuss.html Research Area http://mathforum.org/mathtools/research/ Developers Area http://mathforum.org/mathtools/developers/ Newsletter Archive http://mathforum.org/mathtools/newsletter/ \`. .--------------.___________) \ |//////////////|___________[ ] `--------------' ) ( '-' The Math Forum @ Drexel -- 2 April 2005