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The connection between mathematics and art goes back thousands of years. Mathematics has been used in the design of Gothic cathedrals, Rose windows, oriental rugs, mosaics and tilings. Geometric forms were fundamental to the cubists and many abstract expressionists, and award-winning sculptors have used topology as the basis for their pieces.

Within this site you will find lesson ideas, examples, and downloads for mathematics that embrace active learning, constructivism, and project-based learning while remaining true to the standards. The initial focus will be for grades 5 and up, but teachers of younger students may be able to find some uses or inspiration from the site. Higher level thinking skills, such as analysis, synthesis, and creativity are encouraged as well as technology skills and social learning. The scope of this site is mathematics, but many lessons lend themselves to interdisciplinary activities also.

Offers interactive demonstrations of anything that can be modeled mathematically - bacteria growth, light refraction, supply and demand, etc. Running a demo requires Mathematica Player, which can be downloaded free, along with the demos

About the Wolfram Demonstrations Project Conceived by Mathematica creator and scientist Stephen Wolfram as a way to bring computational exploration to the widest possible audience, the Wolfram Demonstrations Project is an open-code resource that uses dynamic computation to illuminate concepts in science, technology, mathematics, art, finance, and a remarkable range of other fields. Its daily-growing collection of interactive illustrations is created by Mathematica users from around the world, who participate by contributing innovative Demonstrations. Interactive computational resources have typically been scattered across the web--requiring specialized programming knowledge that's made them difficult and expensive to develop. As a result, their coverage has long been limited, and progress has been slow. In many ways, the Wolfram Demonstrations Project introduces a new paradigm for exploring ideas. The power to easily create interactive visualizations, once in the domain of computing experts alone, is now in the hands of every Mathematica user. Demonstrations can be created with just a few short lines of readable code, powered by the revolutionary advances in Mathematica. This opens the door for researchers, educators, students, and professionals at any level to create their own sophisticated mini-applications and publish them online.

"I began my personal journey into the world of Cubing when I was attending Regis University in Denver, Colorado in 2009. My senior thesis project involved devising a cryptosystem using the Rubik's Cube to encode and decode messages. Although my involvement with the Rubik's Cube waned post-graduation, it was rekindled shortly after I became a secondary teacher of mathematics in 2014. I had several Rubik's Cubes in my possession from my college days and these decorated the shelves in my classroom. I recall these puzzles catching the eyes of many curious pupils. After months of traditional curriculum presentation, I determined that my students were in need of a novel lesson, one that would ignite a passion for problem-solving. This lesson would involve the colourful and alluring hexahedron puzzle on my desk: the Rubik's Cube."

This is a world where massive amounts of data and applied mathematics replace every other tool that might be brought to bear. Out with every theory of human behavior, from linguistics to sociology. Forget taxonomy, ontology, and psychology. Who knows why people do what they do? The point is they do it, and we can track and measure it with unprecedented fidelity. With enough data, the numbers speak for themselves.

When we teach math we are helping our students establish a framework for interpreting the world. One of the worst ways I know to help them establish that framework is to print an illustration of a real-world scene in a textbook, write in only the relevant measurements, and tell the students in the text of the problem which formula or strategy to apply. This leaves a student helpless and unprepared (in the mathematical, analytical sense) should she ever encounter the world that exists outside the pages of her textbook.

Six math projects that integrate real-world math problems are presented as a teaching strategy for helping students develop a greater understanding of math.

And the price is this: facts learned in this way, and especially by rote, and especially at a younger age, take a direct route into the mind, and bypass a person's critical and reflective capacities, and indeed, become a part of those capacities in the future.

while it is necessary (and possible) to teach facts to people, it comes with a price. And the price is this: facts learned in this way, and especially by rote, and especially at a younger age, take a direct root into the mind, and bypass a person's critical and reflective capacities, and indeed, become a part of those capacities in the future.\n\nWhen you teach children facts as facts, and when you do it through a process of study and drill, it doesn't occur to children to question whether or not those facts are true, or appropriate, or moral, or legal, or anything else. Rote learning is a short circuit into the brain. It's direct programming. People who study, and learn, that 2+2=4, know that 2+2=4, not because they understand the theory of mathematics, not because they have read Hilbert and understand formalism, or can refute Brouwer and reject intuitionism, but because they know (full stop) 2+2=4.\n\nI used the phrase "it's direct programming" deliberately. This is an analogy we can wrap our minds around. We can think of direct instruction as being similar to direct programming. It is, effectively, a mechanism of putting content into a learner's mind as effectively and efficiently as possible, so that when the time comes later (as it will) that the learner needs to use that fact, it is instantly and easily accessible.

Lure of the Labyrinth is a digital game for middle-school pre-algebra students. It includes a wealth of intriguing math-based puzzles wrapped into an exciting narrative game in which students work to find their lost pet - and save the world from monsters! Linked to both national and state mathematics standards, the game gives students a chance to actually think like mathematicians.

Frequent Edutopia blogger Andrew Miller discusses his strategy for using real world math in order to make math relevant to students.

"The importance of offering a broad curriculum within the school system cannot be over-stated, allowing students to explore a range of topics that spark their interest, and potentially inspire them to follow a career path that can have a positive impact on their lives, society and the environment. STEM activities (built around Science, Technology, Engineering and Mathematics) offer a broad range of opportunities, opening up the potential of enquiry based learning that is relevant to the world we live in. Many education systems globally place a great emphasis on a STEM curriculum for all students, no matter of age, race, gender or ability, but what STEM based activities work best in your setting, helping students see the world differently, and potentially inspiring to enter STEM careers of the future?"

From Steve Hargadon: "I've started a new community at http://www.FutureofEducation.com to providing an opportunity for those who care about education to share their voices and ideas on charting the course of education in a networked world. It's a place for thoughtful discussion on an incredibly important topic. The site will launch officially at the end of the month with the start of a weekly interview series, but I'm inviting some participation now because of an email Carol Broos (http://www.classroom20.com/profile/beatechie) sent out. Carol is one of twelve teachers who have been invited to participate in a round table discussion concerning the direction of education the new Secretary of Education Arne Duncan on Jan 21. She was sent the following questions, and is asking for feedback and ideas. You can respond either at the new http://www.FutureofEducation.com site or her wiki at http://education20.pbwiki.com/FrontPage. Here are the questions: 1. What is the one most important education issue you wish Secretary Duncan to focus on during his tenure and why? 2. How shall the tenets of the No Child Left Behind act be altered or invigorated? What are its positives? How can its negatives be improved? 3. How should the new administration respond to the nation's need for better prepared and more qualified teachers? 4.What should the new administration do to increase student engagement in mathematics, the sciences and the arts? 5. How should funding equity issues be addressed? There is also a discussion topic on what questions were not asked that might have been." This seems to be a great thing!

Socrative has even more cool features. Richard Byrne gives an overview on on of my favorite blogs, Free Tech for Teachers. "Socrative's new image option could be great for asking mathematics questions that are diagram based. The image option could also be great for world languages teachers to post a picture of an object that students have to identify in the language that they're learning. And the new automatic grading option could save you a ton of time that you can then invest in something else. "

A collection of more than 100 videos that help you explore the world of mathematics. Just about any math topic is covered including probabilities Kaprekar's Constant and more. These videos will be useful if you're in the process of working towards flipping your classroom.

PISA Scores help and hurt... of course, the world won't be happy until every country and every child and every system is at the 100th percentile - something that won't happen. From Valerie Strauss about what Finland should do as the result of their "slipping" scores. In the Washington Post. "Finland should also continue to let national education and youth policies - and not PISA - drive what is happening in schools. Reading, science, and mathematics are important in Finnish education system but so are social studies, arts, music, physical education, and various practical skills. Play and joy of learning characterize Finland's pre-schools and elementary classrooms. "

Teaching math to elementary students is critical for establishing a foundation of success in mathematics. There is a need for some basic memorization of facts, because students who do not memorize arithmetic functions struggle in upper grades. However, math must be fun and interesting, along with making connections with real-world applications.

"In their new 'Teaching on a Shoestring' book, Russell Grigg and Helen Lewis focus upon 4 C's (communication, collaboration, critical thinking and creativity) for the early years of schooling, but they also acknowledge that some of the resource ideas can also support mathematical development and knowledge and understanding of the world."

World Math Day registration and practice games are now open! In 2008 182,455,169 questions were answered. Students around the world are challenged to creating a new world record! Click the Register button to join students around the world in a celebration of numbers.

Six math projects that integrate real-world math problems are presented as a teaching strategy for helping students develop a greater understanding of math.

These courses offer you a chance to learn about everything from electrical engineering to the basics of computer science.

Good find! Thanks for sharing