Tangible math toolkit

Here are some books, movies, and courses that can help teens with math.

• “A Mathematical Mosaic: Patterns & Problem Solving” by Stanford math professor Ravi Vakil, National Library of Virtual Manipulatives (www.amazon.com/Mathematical-Mosaic-Patterns-Problem-Solving/dp/1895997046)

• Visual Calculus (archives.math.utk.edu/visual.calculus)

• Geogebra — free open-source software; winner of the National Technology Leadership Award 2010 (www.geogebra.org)

• “Algebra in the Real World” movies (www.thefutureschannel.com/algebra/algebra_real_world_movies.php)

• Massachusetts Institute of Technology — open course materials including lecture notes, PDF files, practice sets, exam questions, and experiments tied to mathematical thinking (ocw.mit.edu/high-school/calculus)

• Thinkwell Math — upper-level math courses using visual teaching techniques and illustrations (www.thinkwell.com)

• Mathematica for Students — math graphing and visualization program (www.wolfram.com/solutions/education/students)

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