Group items tagged

These pages demonstrate visual phenomena, and »optical« or »visual illusions«. The latter is more appropriate, because most effects have their basis in the visual pathway, not in the optics of the eye. When I find the time I will expand the explanations, to the degree that these phenomena are really understood; any nice and thoughtful comment welcome.

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.

Description of student learning success with ST Math, stripping verbalization from math teaching and working with visualization and images

"math behind visual hallucinations"

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)

Great new way of visualizing data (all kinds of data sources). Make wordles, graphs, webs of all kinds of information. Also a great place to get data sets for investigation in the classroom. 

"a visual representation of the trig functions"

Many Eyes is a data visualization platform designed by IBM and provided for free. Since it's IBM it should remain fairly stable and free for a long while. 

Scheduled for December, Predictive Interface and Units, Social Networks and Data Science, and Data Manipulation and Visualization

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

"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."

During the live online event Saturday January 14th 2pm ET, Shad Moarif, the founder of Karismath, will lead brainstorming about mathematical videos and dynamic mathematics in general. Event challenge! What types of the Grid do you see from the pedagogical perspective? Discussions beginning before the event This wiki: discussion tab http://mathfuture.wikispaces.com/message/list/Karismath LinkedIn: "Math, Math Education, Math Culture" group http://www.linkedin.com/groupItem?view=&gid=33207&type=member&item=88774229&qid=00e42ab4-4f69-453e-8a79-0a181ab07bc9 Facebook: http://www.facebook.com/karismath/posts/334691806549990 Math Future email group: http://groups.google.com/group/mathfuture/browse_thread/thread/071299f3319650cf# In a grid, there is an obvious connection between the product cell and the simultaneity of two bits of information coexisting within it. Shad is exploring ways of breaking this connection down into a sequence of transitional steps by distilling them visually. Shad has categorized the Grid into eleven types according to their uses for storing, sorting, and displaying numerical information (see below). What pedagogical types of the Grid come to your mind? How to join Follow this link at the time of the event: http://tinyurl.com/math20event

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."

"Beauty of Mathematics" from Parachutes.TV "showing the mathematics of different phenomena in equation, visualization, and realization. "

Using mathematical images and visualization in teaching

An interactive White Board (IWB) or SMART Board has the potential to deliver content better than traditional methods of teaching. Why? Because it provides multi-media functional interaction across audio, video, and computer media. It is also ideal for visual, auditory, and kinesthetic learners. These qualities of an IWB also promote the dynamic delivery of content (if used to its full potential) in an engaging manner, which allows students to interact with science or math content their self. Examples include: * data manipulation * responding to data * even creating data So with all these attributes - "How are interactive white boards unsuccessfully used in science and math classrooms?" For the most part - not effectively!

Digital Media follows the old adage "A picture is worth a thousand words!" when it comes to science and math. The use of visuals is ideal for helping students construct background knowledge for developing a better understanding of science and math concepts.

Great set of lessons for modeling, recursive functions, real-life application from NCTM Illuminations. The lessons include not only context, but applets that help students visualize the situation and  mathematical model. 

Schlumberger Excellence in Educational Development, Inc. (SEED) offers creative math puzzles, with solutions. Puzzle categories include: * Number Sense * Arithmetic * Probability * Algebraic Thinking * Geometry, Spatial Reasoning, and Visualization * Topology * Logic * Combinatorics * Miscellaneous

"Use the display and the slider to see how shapes up made up from their nets." Nice visual showing one net for each solid 'fold' up to make it.