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An article examines the use of drawing in science learning, starting from the history of drawing in experimental science. Unfortunately the full text requires a subscription. Thinking of implications for math learning.

This site offers an interactive way to assess your class by connecting your students to your lessons and response to every question on a range of devices, including mobiles. Make a virtual room and set up assessment quizzes, share links instantly and even get students to draw a response to your questions in real time. The data is collated so you can see where your students need more input. http://ictmagic.wikispaces.com/Planning+%26+Assessment

"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."

"Why Learn It (WLI) aims to address the issue of motivation around learning math by helping students explore the beauty and relevance of what they would otherwise dismiss as inconsequential in school. Targeting late middle-school and early high-school students, WLI takes a hybrid approach to cultivat- ing motivation. It leverages the engagement value of short (approximately three-minute long) videos depicting real people talking about how math and computational thinking are critical to their successes in a number of professional areas. Students then complete a series of interactive exercises that help students explore an application area discussed in the video in more detail. These exercises, however, are not simply drill problems aimed at making students experts in a particular content area. Instead, they are multi-step assignments that require the students to draw upon both detailed mathematical knowledge and a big picture view of how this knowledge can be used to draw useful, meaningful conclusions. The exercises are focused on bridging the worlds of number, images, and sounds in or- der to help students build intuition around a particular topic. Therefore, while some questions have objectively correct responses, others require students to gather knowledge they have built through answering previous questions within the packet to draw new inferences. Hints are provided along the 1 way to ensure students receive assistance when necessary. Finally, WLI is housed online and is oered for free, signifying minimal barriers to usage by educators and students."

A site with a collection of maths videos designed to get students drawing graphs. Watch the motion of objects or values on scale in the videos and plot the numbers. The videos have the correct answers at the end.

Draw a symbol in the template and get associated LaTeX commands

Practise spotting 'more than' and 'less than' by drawing the correct symbol in this game. http://ictmagic.wikispaces.com/Maths

Published 2012. "Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries."

from the abstract: "Mathematics is now at a remarkable in exion point, with new technology radically extending the power and limits of individuals. Crowd- sourcing pulls together diverse experts to solve problems; symbolic computation tackles huge routine calculations; and computers check proofs too long and complicated for humans to comprehend. The Study of Mathematical Practice is an emerging interdisciplinary eld which draws on philoso- phy and social science to understand how mathematics is produced. Online mathematical activity provides a novel and rich source of data for empirical investigation of mathematical practice - for example the community question-answering system mathover ow contains around 40,000 mathe- matical conversations, and polymath collaborations provide transcripts of the process of discovering proofs. Our preliminary investigations have demonstrated the importance of \soft" aspects such as analogy and creativity, alongside deduction and proof, in the production of mathematics, and have given us new ways to think about the roles of people and machines in creating new mathematical knowledge. We discuss further investigation of these resources and what it might reveal. Crowdsourced mathematical activity is an example of a \social machine", a new paradigm, identi- ed by Berners-Lee, for viewing a combination of people and computers as a single problem-solving entity, and the subject of major international research endeavours. We outline a future research agenda for mathematics social machines, a combination of people, computers, and mathematical archives to create and apply mathematics, with the potential to change the way people do mathe- matics, and to transform the reach, pace, and impact of mathematics research."

From the abstract: "ew innovations by math- ematicians themselves are starting to harness the power of social computation to create new modes of mathematical production. We study the effectiveness of one such system, and make proposals for enhancement, drawing on AI and computer based mathematics. We analyse the content of a sample of questions and responses in the community ques- tion answering system for research mathematicians, math- overflow . We find that mathoverflow is very effective, with 90% of our sample of questions answered completely or in part. A typical response is an informal dialogue, allowing error and speculation, rather than rigorous mathematical argument: 37% of our sample discussions acknowledged er- ror. Responses typically present information known to the respondent, and readily checked by other users: thus the effectiveness of mathoverflow comes from information shar- ing. We conclude that extending and the power and reach of mathoverflow through a combination of people and machines raises new challenges for artificial intelligence and compu ta- tional mathematics, in particular how to handle error, anal - ogy and informal reasoning."

Abstract :"Drawing from Gee's learning principles developed from the digital games environment, we provide a critical analysis of the difference between using these principles in a literacy environment as opposed to a mathematical environment. Using stimulated recall, primary school-aged students played with a number of contemporary digital games. Feedback was sought. This was compared with the descriptions provided by experienced adult gamers. Both players provided insights into the cognitive process used by gamers when engaging with games. Collectively, these sources allow us to propose that the learning principles may restrict deep learning processes for mathematical learning."

"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. "

Drawing on culture, creativity and computation in teacher education

A useful addition game where users 'handwrite' the answers in the box. The intro page is in Japanese, but the activity is in English. 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."

University of Delaware researchers find: "Even [when their children are] as young as 22 months, American parents draw boys' attention to numerical concepts far more often than girls'. Indeed, parents speak to boys about number concepts twice as often as they do girls. For cardinal-numbers speech, in which a number is attached to an obvious noun reference - "Here are five raisins" or "Look at those two beds" - the difference was even larger. Mothers were three times more likely to use such formulations while talking to boys."

An impressive graphing calculator. Just enter your equations and variables to draw. http://ictmagic.wikispaces.com/Maths

A superb 'Must Try' HTML based collaborative whiteboard site. The tools are wonderfully simple. No log in required. Just share the page link to work collaboratively. Combine with a tool like Skype to share a lesson across classes, schools or even countries. http://ictmagic.wikispaces.com/ICT+%26+Web+Tools