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Thinkfinity is the Verizon Foundation’s free online professional learning community, providing access to over 60,000 educators and experts in curriculum enhancement, along with thousands of award-winning digital resources for K-12 — aligned to state standards and the common core.

Finland's schools owe their newfound fame primarily to one study: the PISA survey, conducted every three years by the Organization for Economic Co-operation and Development (OECD). The survey compares 15-year-olds in different countries in reading, math, and science. Finland has ranked at or near the top in all three competencies on every survey since 2000, neck and neck with superachievers such as South Korea and Singapore. In the most recent survey in 2009 Finland slipped slightly, with students in Shanghai, China, taking the best scores, but the Finns are still near the very top. Throughout the same period, the PISA performance of the United States has been middling, at best.

Compared with the stereotype of the East Asian model -- long hours of exhaustive cramming and rote memorization -- Finland's success is especially intriguing because Finnish schools assign less homework and engage children in more creative play. All this has led to a continuous stream of foreign delegations making the pilgrimage to Finland to visit schools and talk with the nation's education experts, and constant coverage in the worldwide media marveling at the Finnish miracle.

Puzzles, books, games and print materials — they make learning math child's play!

As an introduction to our unit on surface area and volume of solids, my students investigated cross-sections of solids through a Play-Doh Cross Sections lab activity. Materials: play-doh, paper plates, dental floss, plastic knife, and ruler.

I have started this blog to document, revisit, and hopefully improve upon many of the approaches that have helped me the most over these years. Some of the postings are “mini-lectures” that most of my tutees have probably heard (cue the eye-rolls). Others are musings about the variations in how math seems to be understood or taught.

Did you ever read a book called “The Number Devil”  by Hans Magnus Enzensberger? If you ever see a copy of it, grab it and have a look. In chapter one, Robert, the hero of the story, meets the Number Devil. The Number Devil explains to Robert that knowing a little bit of arithmetic, such as addition and subtraction, is quite useful for when the batteries of your calculator run out but really it has little to do with mathematics. How often do teachers fail to grasp the distinction? How often do we overstate the importance of the “skills” that we fail to recognize the importance of their application? It’s like a football team that focuses so much energy on their training sessions that they forget to turn up to play their game.

Let us climb peaks by all means, because their beauty attracts us; not because others have failed, nor because the summits stand 28000 ft above the sea…Let us approach the peaks with humility, and through finding the way to them…learn to solve their problems. Eric Shipton (1938)