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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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NSDL Science Literacy Maps are a tool for teachers and students to find resources that relate to specific science and math concepts. The maps illustrate connections between concepts as well as how concepts build upon one another across grade levels. 

"This National report examines the way in which teaching, learning and assessment is conceptualised in Welsh policy for early years science and mathematics, and the role for creativity. This report is one of 13 European national policy reports that are contributing to the Creative Little Scientist Project deliverable (D3.2 Report on Mapping and Comparing Recorded Practices) mapping and comparing policy approaches across Europe. In order to map the key messages in Welsh policy, as well as allow comparisons with other nations, this report draws upon a survey instrument used to rate the extent to which certain approaches, and the role of creativity is emphasised across relevant policy documents in this area. In the case of Wales, this was largely based upon the Framework for Children's Learning for 3 to 7 year olds in Wales, Play/Active Learning: overview for 3 to 7 year olds, the National Curriculum documents for Key Stage 2, associated assessment documents and inspection reports. "

Fun activity for math in elementary schools

Yet, another great data analysis, display tool from Google. Implications in helping students organize/display/analyze/evaluate data is incredible. Displaying data through a map has implications in so many content areas. 

"Estonia said it plans to adopt an innovative math curriculum developed by a UK-based group called Computer-Based Math. The effort is the brainchild of Conrad Wolfram, brother of Stephen Wolfram who cofounded Mathematica, a computational software program designed to help with project workflows in almost any industry. "

Data visualizations for a changing world ​The Google Public Data Explorer makes large datasets easy to explore, visualize and communicate. As the charts and maps animate over time, the changes in the world become easier to understand. You don't have to be a data expert to navigate between different views, make your own comparisons, and share your findings.

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.

"I love patterns, diagrams and pictures. Ask me to record information and it gets plastered over a page in bubbles, a mind map or random boxes. I'm not particularly artistic but I find I like to store information in this way. Even with telephone numbers - I remember the pattern the digits make, not the number itself."

"Diagramly is a free online diagram drawing application. You can use it to create UML, entity relationship, org charts, BPMN and BPM, database schema and networks. Also possible are telecommunication network, workflow, flowcharts, maps overlays and GIS, electronic circuit and social network diagrams. It's like a mini version of Visio in your browser."

See in particular, Digital Learning Dot #3, Personalized Learning in Math Class

See Khan Academy videos that relate to Common Core.

Several topic summaries - ppt mindmap presentations

Partnership between Uof Nottingham and Cal Berkeley to design and develop well-engineered assessment tools to support US schools in implementing the Common Core State Standards for Mathematics (CCSS).Funding is provided by the Bill and Melinda Gates Foundation through the University of California, Berkeley.

Lots of data displayed in an interactive way. Great for use with an interactive white board. Easy for students to gather data, display, and report.