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"This great Maths idea on how to cut a cake into four equal pieces!! How Do Mathematicians cut their Birthday Cakes? Amazing!"

"One snowy January day, I asked a classroom of college students to tell me the first word that came to mind when they thought about mathematics. The top two words were "calculation" and "equation." When I asked a room of professional mathematicians the same question, neither of those words were mentioned; instead, they offered phrases like "critical thinking" and "problem-solving." This is unfortunately common. What professional mathematicians think of as mathematics is entirely different from what the general population thinks of as mathematics. When so many describe mathematics as synonymous with calculation, it's no wonder we hear "I hate math" so often. So I set out to solve this problem in a somewhat unconventional way. I decided to offer a class called "The Mathematics of Knitting" at my institution, Carthage College. In it, I chose to eliminate pencil, paper, calculator (gasp) and textbook from the classroom completely. Instead, we talked, used our hands, drew pictures and played with everything from beach balls to measuring tapes. For homework, we reflected by blogging. And of course, we knit."

"Many people find mathematics daunting. If true, this piece is for you. If not, this piece is still for you. What do you think of when you think about mathematics? Perhaps you think about x's and y's, intractable fractions, or nonsensical word problems. The cartoonist Gary Larson once depicted hell's library as containing only giant tomes of word problems. You know, "If a train leaves New York…" I was trained as a mathematician, and I will let you in on a trade secret: That is not what mathematics is, nor where it lives. It's true that learning mathematics often involves solving problems, but it should focus on the joy of solving puzzles, rather than memorizing rules. I invite you to see yourself as a problem solver and mathematician. And I'd like to introduce you to the man who once invited me to the study of problem solving: George Pólya."

A place for mathematicians to ask and answer questions

"Physics and Mathematics are extremely important subjects. Actually, that's a bit of an understatement. Physics and Mathematics allow us to peer out into the cosmos and understand the inner workings of the universe. At once, they show us our  insignificance and our remarkable potential; they give us a hint of the vast possibilities that exist-of what we could (and may) one day accomplish. They allow us to see the world and to see ourselves anew. That begins to scratch the surface of these subjects. No one can deny their importance; however, it is also a fact that many people don't know where to begin investigating these topics…what books to study, what themes to begin with. On top of this, many feel intimidated by physics and math-they seem to think that they are things which only the sharpest individuals are able to understand. But nothing could be farther from the truth. True, these subject areas might not be the easiest that you will ever happen across, but they are far from impossible. So. If you want to be a physicist or a mathematician,  or if you just want to understand the subjects, here's where to start. Huge thanks to the wonderful Moinak Banerjee for his work on this."

"Is math ability genetic? Sure, to some degree. Terence Tao, UCLA's famous virtuoso mathematician, publishes dozens of papers in top journals every year, and is sought out by researchers around the world to help with the hardest parts of their theories. Essentially none of us could ever be as good at math as Terence Tao, no matter how hard we tried or how well we were taught. But here's the thing: We don't have to! For high-school math, inborn talent is much less important than hard work, preparation, and self-confidence."

"Mathematicians tend to conjure images of ill-fitting pants and pen protectors, but one fashionable genius is changing that equation, at the same time his theories are adding efficiency to global industries. Cédric Villani is among the modern world's greatest mathematical minds. But he makes a point of dressing like a 19th-century aristocrat. Think three-piece suits, frilly shirts and ribbon-like cravats. His style, combined with his long hair; tall, rake-thin frame and collection of giant spider brooches have earned him the moniker "The Lady Gaga of mathematics."

"Both project-based learning and STEAM education (science, technology, engineering, art and math) are growing rapidly in our schools. Some schools are doing STEAM, some are doing PBL, and some are leveraging the strengths of both to do STEAM PBL. With a push for deeper learning, teaching and assessment of 21st-century skills, both PBL and STEAM help schools target rigorous learning and problem solving. They are not exactly the same, but teachers can easily connect to them to teach not only STEAM content and design challenges, but also authentic learning and public, high-quality work. In fact, many know that STEAM education isn't just the content, but the process of being scientists, mathematicians, engineers, artists and technological entrepreneurs. Here are some ways that PBL and STEAM can complement each other as you deliver instruction"

"eith Devlin is a well-known mathematician and the author of many popular math books. He is co-founder and Executive Director of Stanford University's Human-Sciences and Technologies Advanced Research Institute and is well known as the "NPR Math Guy." He's also a big fan of using video games as a teaching tool and the founder of an education technology company called BrainQuake."

"MindShift How we will learn "

"Minds of Modern Mathematics is an excellent iPad app that takes users in a journey into the world of Math. This is basically an interactive timeline that tells the story of how Math and mathematicians have shaped the world we are living in now. The story spans a very long period of time almost 1000 years ago."

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.

We provide ideas and resources for use in secondary mathematics on interactive whiteboards. Link directly to over 500 mathematics interactive web pages from our subscription site. Read the What's new section. Take out a subscription (for £50). See what we come up with for free daily (page of the day, mathematician), weekly (curve, polyhedron, triangle) and monthly (MEI, Movie) all on one site.

About the Lecture Don't expect to glean any market tips or trading secrets from James Simons, who steadfastly refuses to disclose the method behind his remarkable record in investing. Instead, listen to this mathematician, hedge fund manager and philanthropist sum up a remarkably varied and rich career, and offer some "guiding principles" distilled along the way.

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.

"Below is a set of good iPad apps that you can use with your kids and students to enhance their mathematical thinking. These apps are meant for young learners and are specifically useful when introducing kids to those rudimentary notions of mathematical computations. The purpose of teaching kids to think mathematically, as detailed in Kaye Stacey's paper, is three folds: First, it will allow kids to conduct mathematical investigations by themselves. Second, it will help them acquire other thinking skills particularly problem-solving and as mathematician Paul Halmos (1980) stated, 'problem solving is the heart of mathematics'. Third, it helps kids get a deeper appreciation of mathematics and use it in their daily and working lives."

"The students in Molly James's kindergarten classroom were tasked with creating a mathematical art gallery. They had each drawn a number and then searched for two types objects they could use to compose a visual number sentence - such as two rulers plus three scissors to equal five objects. After photographing and mounting their pictures on the wall in numerical order, the students sat on the floor with their sketchbooks and began to draw and talk. "I had expected them to learn something about number composition," James said, "but I didn't expect the remarkable observations they began to have about the photographs." For example, when one girl looked at a picture of two red scissors and three blue scissors (2+3=5), she noticed that the direction of the handles gave rise to a new number sentence: 4 scissors pointing left + 1 scissor pointing right = 5 scissors. James, who recently published a paper about creativity in the classroom, said moments like these remind her that "creativity is not fluff or an add-on, but is instead an essential part of what it means to be a mathematician."  In fact, she believes creativity is the key to helping her students become confident and skilled mathematical thinkers."

"Does STEM scare you? I know it scared me. When I was a kid, I watched my brother take apart an entire computer and put it back together without a manual or guide. Me, I could barely change a lightbulb. And no matter how hard I tried, I always seemed to put IKEA furniture together backward. You should see my bookcase. Very embarrassing. It was with this same trepidation and insecurity that I approached STEM. What could I teach kids? I'm not an engineer! I'm not a scientist! I'm not a mathematician! It wasn't until I reluctantly volunteered to help out with a robotics after school program that I started gaining confidence. I put together my first robot (with a lot of help, TLC from the co-instructor, and even guidance from some eight-year-old kids) and its been downhill from there. I soon realized that leading successful STEM experiences has less to do with your actual knowledge as an instructor (though it helps), and more to do with the MINDSET you take with kids. Here are the five MAKER mindsets and how YOU can develop them starting tomorrow."

Traditional methods of teaching maths have more in common with how we programme a computer that what we might do if we wanted to engage our students in mathematical thinking. We shouldn't be overly surprised then when our students consider mathematics to be all about learning a set of rules that they need to apply in the right order so as to output the correct response. But is there a better way?