Group items tagged

Prometheus Books The Glorious Golden Ratio [978-1-61614-423-4] - "For centuries, mathematicians, scientists, artists, and architects have been fascinated by a ratio that is ubiquitous in nature and is commonly found across many cultures. It has been called the "Golden Ratio" because of its prevalence as a design element and its seemingly universal esthetic appeal. From the ratio of certain proportions of the human body and the heliacal structure of DNA to the design of ancient Greek statues and temples as well as modern masterpieces, the Golden Ratio is a key pattern that has wide-ranging and perhaps endless applications and manifestations. What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. With their talent for elucidating mathematical mysteries, veteran educators and prolific mathematics writers Alfred S. Posamentier and Ingmar Lehmann begin by tracing the appearance of the Golden Ratio throughout history. They demonstrate a variety of ingenious techniques used to construct it and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. They also point out the intriguing relationship between the Golden Ratio and other famous numbers (such as the Fibonacci numbers, Pythagorean triples, and others). They then explore its prevalence in nature as well as in architecture, art, literature, and technology. "

The objective of this site is to show examples of thinking in math, whether it is original solutions from students of problems, or ways to include an inquiry based approach in mathematics education. The idea for the project came from Chris Hunter as a comment on a blog post. I, David Wees, think it is such a terrific idea that I am working on implementing it. I welcome ideas and input from anyone who is interested and would like to help support student thinking in mathematics. Please send an email with your example of original mathematical thinking by a student, or an example of a project students can do to support inquiry in mathematics

Pythagorean Thm. Please add a comment!!! I will approve it if it is true. Just add a post it. No login needed.

This unit looks at visualisation as it relates to mathematics, focusing upon how it can be used to improve learning. It will also identify ways in which to make more use of visualisation within the classroom....

"Abstract What does it mean to have random numbers? Without understanding where a group of numbers came from, it is impossible to know if they were randomly generated. However, common sense claims that if the process to generate these numbers is truly understood, then the numbers could not be random. Methods that are able to let their internal workings be known without sacrificing random results are what this paper sets out to describe. Beginning with a study of what it really means for something to be random, this paper dives into the topic of random number generators and summarizes the key areas. It covers the two main groups of generators, true-random and pseudo-random, and gives practical examples of both. To make the information more applicable, real life examples of currently used and currently available generators are provided as well. Knowing the how and why of a number sequence without knowing the values that will come is possible, and this thesis explains how it is accomplished."

I wish we could add tags to other people's items without overwriting their authorship!

Steven, you shared a link and I wanted to add a tag to it. However, Diigo does not have a separate "add tag" function. The only way to add a new tag is to share the same link to the group, again. However, it overrides the author - now the link says "Shared by Maria Droujkova" even though you linked it first. I hope it makes sense. We discussed it with Darren when I first started to use Diigo Groups: http://groups.diigo.com/group/math-links/content/can-you-add-tags-to-other-people-s-bookmarks-959243

Hi Maria, thank you for the clarification. I now understand your first comment.

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!

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."

This is a must try site which provides an amazing 3D world which teaches English and maths core skills. Players race against two other randomly chosen online players of a similar level. The questions start out very easy and adapt to the performance of the player. The questions are read out and some are displayed on the screen. The player just clicks on the correct multiple choice answer to increase their speed. There is a download for PCs and Macs as well as apps for iPad and Android. There are teacher accounts which allow you to make logins for lots of children quickly. When there log in students will be asked to design an avatar. Because the resource requires a sizeable download it takes a little time to set up, but because it runs on your local device game play is very smooth and quick. http://ictmagic.wikispaces.com/ICT+%26+Web+Tools

"Hooray! You have a brand new, shiny iPad to use in your classroom this year. Boo-there's only one iPad and 35 eager kids ready to use it. No need to worry-there are lots of amazing things you can do with a single iPad in your classroom, and it doesn't have to be a classroom management nightmare either. Here are 15 of our favorite apps that work great with a one iPad setup AND help to keep kids on task and engaged with what you are learning."

"Italian psychologist Geatano Kanizsa first described this optical illusion in 1955 as a subjective or illusory contour illusion. The study of such optical illusions has led to an understanding of how the brain and eyes perceive optical information and has been used considerably by artists and designers alike. They show the power of human imagination in filling in the gaps to make implied constructions in our own minds. Kanizsa figures and similar illusions are a really useful way to encourage learners to 'say what they see' and to explain how they see it. It offers a chance for others to become aware of the different views available in a diagram and share their own thoughts without the 'danger' of being wrong; many people see different things."

"π has fascinated mathematicians, engineers and other people for centuries. It is a mathematical constant that is the ratio of a circle's circumference (C) to its diameter (d); This also explains why and how this number got its name: the lowercase π was first adopted in 1706 as an abbreviation for this number because it is the first letter of the Greek for "perimeter", specifically of a circle." Introduces a video by Numberphile explaining more about the determination of π

Is this good or bad, or is it a little of both? How should it affect our math classes?

LOGIN Wednesday February 15 at 3pm Eastern US time: http://tinyurl.com/math20event During the event, Dr. Keith Still of SaferCrowds.com will introduce his Crowd Sciences work and explain the relevance of mathematics in it: "If you don't do the maths, you could end up in court on a manslaughter charge!" All events in the Math Future weekly series: http://mathfuture.wikispaces.com/events The recording will be at http://mathfuture.wikispaces.com/CrowdSciences Pose questions and comments for Keith before the event Math Future wiki: http://mathfuture.wikispaces.com/message/list/CrowdSciences LinkedIn group: http://www.linkedin.com/groupItem?view=&gid=33207&type=member&item=94871153&qid=b29a6dbc-6474-425f-865a-b319bd33dcb9 Email group: http://groups.google.com/group/mathfuture/browse_thread/thread/931328aab6d87b03 How to join Follow this link at the time of the event: http://tinyurl.com/math20event Wednesday, February 15 2012 we will meet online at noon Pacific, 3 pm Eastern time. WorldClock for your time zone. Click "OK" and "Accept" several times as your browser installs the software. When you see Session Log-In, enter your name and click the "Login" button If this is your first time, come a few minutes earlier to check out the technology. Crowd Modelling + Crowd Monitoring + Crowd Management = Safer Crowds Crowd Modelling is the scientific approach to the development of safe, robust, crowd management plans. This can be achieved without the need for expensive, complex, time consuming computer simulations. In simple terms Crowd Modelling is understanding how, where, when and why crowds arrive, move around and leave an events/venues. The majority of this can be accomplished using tried, tested and simple to apply methodologies. "Keith Still is what I term an intuitive mathematician. He is one of the most creative and original thinkers that I know. He adds drive and determination, as well as considerable intellectual power to any group of which h

Current reforms in mathematics education emphasise the need for pedagogy because it offers learners opportunities to develop their proficiency with complex high-level cognitive processes. One has always associated the ability to make mathematical connections, together with the teacher's role in teaching them, with deep mathematical understanding. This article examines the nature and quality of the mathematical connections that the teachers' representations of those connections enabled or constrained. The researchers made video recordings of four Grade 11 teachers as they taught a series of five lessons on algebra-related topics. The results showed that the teachers' representations of mathematical connections were either faulty or superficial in most cases. It compromised the learners' opportunities for making meaningful mathematical connections. The researchers concluded by suggesting that helping teachers to build their representation repertoires could increase the effectiveness of their instructional practices.

Like the looks of Infographics but wish it were as easy as creating a Powerpoint? This website aims to empower you to easily create infographics in a short time. It is worth the free registration to gain access. Create beautiful Infographics by creating a title and then choosing a template or color scheme. Create your own templates using a range of color, label, and font choices. Click on the elements on the template to change the words, add widgets, create charts, and more. Use the slider along the top right to move between edit mode and preview mode. Go beyond traditional charts by including word clouds, treemaps, bubble charts, and more. Click Save as Template (helpful in creating labels and examples for students to follow) to save your style for later. Click Publish to make the Infographic public or private. You can save the Infographic as an image, share via URL, or use an embed code to place on a wiki, site, or blog. Click on your dashboard to view additional templates shared by creators and to find your Infographics.

8th grade Common Core scope and sequence - lays it out for you AND it goes by the way the assessment will be!

"Mathematician Shinichi Mochizuki of Kyoto University in Japan has released a 500-page proof of the abc conjecture, which proposes a relationship between whole numbers - a 'Diophantine' problem. The abc conjecture, proposed independently by David Masser and Joseph Oesterle in 1985, might not be as familiar to the wider world as Fermat's Last Theorem, but in some ways it is more significant. "The abc conjecture, if proved true, at one stroke solves many famous Diophantine problems, including Fermat's Last Theorem," says Dorian Goldfeld, a mathematician at Columbia University in New York. "If Mochizuki's proof is correct, it will be one of the most astounding achievements of mathematics of the twenty-first century." See additional commentary at: http://bit-player.org/2012/the-abc-game?utm_src=HN2

Flipping a classroom is not a teaching technique, it is more in line with a philosophy or way of teaching. It involves using technology as a tool, not the main focus, for helping students increase their understanding of science or math concepts.

A simple multiplication practise site where learners can choose from 6 difficulty levels and answer all the questions as quickly as they can. Players answer the questions using changing buttons, which means no typing is needed, making it idea to use on interactive whiteboards. Because it is designed using html the site also works on most tablets and smart phones. http://ictmagic.wikispaces.com/Maths