(Access to full text requires subscription or purchase.) First volume in a new series, Mathematics Education in the Digital Age, features chapters on collaborative learning and new technologies, abstracts available.
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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Help your students understand equivalence between fractions, decimals and percentages with this visual number line flash resource. Peg the value to the correct position.
http://ictmagic.wikispaces.com/Maths
Computer visualization, "For each natural number n, we draw a periodic curve starting from the origin, intersecting the x-axis at n and its multiples. The prime numbers are those that have been intersected by only two curves: the prime number itself and one."
"An average person can read out approximately 120 digits/min. Keeping this pace it would take more than 158,000 years to recite the 10 trillion digits of π discovered this year and roughly 3 weeks to read out the 4 million digits visualized here."
The deficit is a key consideration for all parties as the federal government brings down its budget. Use the chart to explore Canada's budgetary surplus and deficit history, including revenue and expenditure figures for every fiscal year from 1963-1964 to 2010-2011. Select a prime minister's name on the left-hand side to highlight figures from his time in office.
"Research has been conducted on how to aid blind peoples' perceptions and cognition of scientific data and, specifically, on how to strengthen their background in mathematics as a means of accomplishing this goal. In search of alternate modes to vision, researchers and practitioners have studied the opportunities of haptics alone and in combination with other modes, such as audio."
This Flickr group (which I just started) has "bad graphs" which I am collecting as a resource for math educators. Please apply to join the group if you are interested in adding your own resources to it. Otherwise, feel free to use the graphs and data visualizations we've collected.
How Many Really? compares the number of people involved in key historical events or situations to the people you know through Facebook or Twitter. You can also add your own numbers - for example, the amount of students in your class.
Choose a story to get started.
Abstract: "The purpose of this chapter is to provide pedagogical strategies and discuss ideas about teaching mathematics using GeoGebra that promote effective use of visualization in a technology-integrated dynamic environment. The author describes his work with prospective secondary mathematics teachers enrolled in a methods course. The results of the study revealed that their perspectives on teaching and learning mathematics with technology were enriched as they worked individually and in small groups to develop and present lessons with GeoGebra, suggesting that creating a collaborative environment for our prospective teachers is as important as incorporating dynamic mathematics software into our teacher education courses." (Full text requires subscription or purchase)