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"it turns out that most people who consider themselves proficient at digesting number based health information, when called upon, often end up performing quite poorly on problems requiring numeracy." (thanx Johan 4 sharing this link)

HSSageMath.org is a website designed for High School and Middle School level students and educators. We hope to use this wiki and Sage notebook server to share helpful Sage tools and information with the world.

Abstract: "Human adults from diverse cultures share intuitions about the points, lines, and figures of Euclidean geometry. Do children develop these intuitions by drawing on phylogenetically ancient and developmentally precocious geometric representations that guide their navigation and their analysis of object shape? In what way might these early-arising representations support later-developing Euclidean intuitions? To approach these questions, we investigated the relations among young children's use of geometry in tasks assessing: navigation; visual form analysis; and the interpretation of symbolic, purely geometric maps. Children's navigation depended on the distance and directional relations of the surface layout and predicted their use of a symbolic map with targets designated by surface distances. In contrast, children's analysis of visual forms depended on the size-invariant shape relations of objects and predicted their use of the same map but with targets designated by corner angles. Even though the two map tasks used identical instructions and map displays, children's performance on these tasks showed no evidence of integrated representations of distance and angle. Instead, young children flexibly recruited geometric representations of either navigable layouts or objects to interpret the same spatial symbols. These findings reveal a link between the early-arising geometric representations that humans share with diverse animals and the flexible geometric intuitions that give rise to human knowledge at its highest reaches. Although young children do not appear to integrate core geometric representations, children's use of the abstract geometry in spatial symbols such as maps may provide the earliest clues to the later construction of Euclidean geometry. "

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created a fully functional, browser-based  graphing calculator. The calculator performs all of the functions you would expect to see in a graphing calculator with a couple of extras that you don't find in typical graphing calculators. Desmos allows you to share your equations and graphs through a Bit.ly link. Desmos graphs your equations as you type them and redraws them as you alter your equations.

Abstract: "We encounter mathematical problems in various forms in our lives, thus making mathematical thinking an important human ability [6]. Of these problems, optimization problems are an important subset: Wall Street traders often have to take instantaneous, strategic decisions to buy and sell shares, with the goal of maximizing their profits at the end of a day's trade. Continuous research on game-based learning and its value [2] [3] led us to ask: can we develop and improve the ability of mathematical thinking in children by guising an optimization problem as a game? In this paper, we present Bublz!, a simple, click-driven game we developed as a first step towards answering our question."

The objective of this site is to show examples of thinking in math, whether it is original solutions from students of problems, or ways to include an inquiry based approach in mathematics education. The idea for the project came from Chris Hunter as a comment on a blog post. I, David Wees, think it is such a terrific idea that I am working on implementing it. I welcome ideas and input from anyone who is interested and would like to help support student thinking in mathematics. Please send an email with your example of original mathematical thinking by a student, or an example of a project students can do to support inquiry in mathematics

Playing With Math: Stories from Math Circles, Homeschoolers, and Passionate Teachers brings together the stories of over thirty authors who share their math enthusiasm with their communities, families, or students. After every chapter is a puzzle, game, or activity to get you and your kids playing with math too.

"Fascinating Mathematical People is a collection of informal interviews and memoirs of sixteen prominent members of the mathematical community of the twentieth century, many still active. The candid portraits collected here demonstrate that while these men and women vary widely in terms of their backgrounds, life stories, and worldviews, they all share a deep and abiding sense of wonder about mathematics."

Kristine Fowler, mathematics librarian at the University of Minnesota, shares results from a survey of mathematicians concerning how they want to be able to reuse their work, discusses alternatives to standard copyright contracts and urges scholars and institutions to be aware of not only their options but the rights they may cede in entering into publishing agreements.

A group of educators sharing interesting resources around the teaching and learning of mathematics.

Book to be published in November 2011

Published in 2011, "reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. ... Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath Principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem." Read more about one of the authors here: http://chronicle.com/article/The-Magical-Mind-of-Persi/129404/

An entire course!

Darren challenged us to identify topics of interest last month and I responded that I would love to share some algebraic reasoning information.

interweaving content and pedagogy in teaching and learning to teach knowing and using mathematics.pdf

Interweaving Content and Pedagogy in Teaching and Learning to Teach: Knowing and Using Mathematics

Hungarian folk dance used to demonstrate computational sorting algorithms, from Sapientia Univeristy in Romania

This is highly awesome! Computer science concepts are fun to play with, and dance is a great way to share this one. Reminds me of a TRIZ method.