Forthcoming July 2011, available for pre-order. a biography of the 13th century Italian mathematician Leonardo of Pisa, better known as Fibonacci, who introduced the Hindu-Arabic system of numbers to the west. "Fibonacci's book Liber Abbaci (The Book of Calculation) was the first to recognize the power of the 10 numerals, and to aim them at the world of commerce."

From the abstract (full text requires subscription): "Many organisms can predict future events from the statistics of past experience, but humans also excel at making predictions by pure reasoning: integrating multiple sources of information, guided by abstract knowledge, to form rational expectations about novel situations, never directly experienced. Here, we show that this reasoning is surprisingly rich, powerful, and coherent even in preverbal infants. When 12-month-old infants view complex displays of multiple moving objects, they form time-varying expectations about future events that are a systematic and rational function of several stimulus variables. Infants' looking times are consistent with a Bayesian ideal observer embodying abstract principles of object motion. The model explains infants' statistical expectations and classic qualitative findings about object cognition in younger babies, not originally viewed as probabilistic inferences."

From the abstract: "We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that are present in all humans, even in the absence of formal mathematical education. Our tests probed intuitions of points, lines, and surfaces in participants from an indigene group in the Amazon, the Mundurucu, as well as adults and age-matched children controls from the United States and France and younger US children without education in geometry. The responses of Mundurucu adults and children converged with that of mathematically educated adults and children and revealed an intuitive understanding of essential properties of Euclidean geometry." (Full text requires subscription.

"lies about the number line"?

"Motion Math creates fun mobile learning games that let kids play with numbers. Our engaging game suite helps children master math's foundations - we turn screen time into learning time!"

"mathematics in everyday life" (published in 2010), highlights mathematical solutions to everyday problems and points to unsolved questions

A collection by Andrej Bauer

Numbers in the brain, including those of animals and infants, neurons and brain areas involved in mathematical calculations, synthesis of recent research

"This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics."

Applying mathematics to biology and complex life processes

if a student can't solve the problem and finds a resource that takes her through the proof step by step?

on memory-word problems

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

A children's book illustrating calculus, slideshow viewable at this website

review of "THE CALCULUS OF FRIENDSHIP: What a Teacher and a Student Learned about Life While Corresponding about Math" published in 2010 and now in paperback. Transverses thirty years of correspondence between Strogatz and his teacher, insights into student-teacher relationship and lifelong learning

"supports middle grades educators with high-quality, standards-based resources and promotes collaboration and knowledge-sharing among its users. Educators use MSP2 to increase content knowledge in science, mathematics, and appropriate pedagogy for youth ages 10 to 15. MSP2 employs social networking and digital tools to foster dynamic experiences that promote creation, modification, and sharing of resources, facilitate professional development, and support the integration of technology into practice."

2010 book considering "implications of infinity ... for mathematics," also mathematical logic and set theory

A collection of resources using poetry to teach math concepts