The wonder-number is... 6174 ... is Kaprekar’s constant, named after the Indian mathematician (below) who found it. Take any four-digit number, 5634 and rearrange the digits in decreasing order, to get 6543. Reverse this number and you get 3456. Now subtract the smaller number from the larger, 6543-3456. You get 3087. Now repeat the process. Rearrange the digits 3087 in decreasing order, 8730. Reverse the number, 0378. Subtract the smaller number from the larger, 8730-0378 to get 8352. Now repeat the process again using 8352. Rearrange 8352 in decreasing order to get 2538. Reverse 2538 to get 8352. Subtract, 8352-2358 to get 6174. Now repeat the process again. Rearrange 6174 in decreasing order to get 1467. Reverse 1467 to get 7641. Now subtract the smaller number from the larger, 7641-1467 to get... 6174! Now try it with any other four-digit number. What happens if you use a three-digit or five-digit number? Shri Dattathreya Ramachandra Kaprekar was born on January 17, 1905 at a place called Dahanu, near Mumbai, in India. As a child calculations were his hobby. He would spend hours trying to solve maths puzzles and problems. As an adult he worked as a mathematician and in 1946 he discovered the Kaprekar constant — the number 6174. He died in 1988.

WELCOME to The PiFactory. What’s here at The PiFactory? NEW! Learning targets are now available on-line… TARGETmath goes open source. Targetmath… assessment for learning in the math classroom. ClassStuff… Classroom resources. MathMaps… math concept maps. Plus The Tee-Shirt! And The Blog! Plus... Free Stuff And now… the data in the TARGETmath database is being (slowly) released, as open source for collaborative development, on the The PiFactory wiki Targetmath gives teachers dozens of positive feedback sentences and the ability to state clearly exactly what a student needs to focus on to improve. Targetmath, the assessment program that lets teachers and student track progress... not through hi-stress tests, arbitrary percentages but by the achievement of learning targets. Targetmath builds individual learning plans for all students. Targetmath keeps track of student progress judged against rubrics and student self-assessment. Targetmath produces target-based assignments with target notes and guidance. Targetmath contains 1,000+ questions and investigations... all linked to searchable learning targets. Targetmath builds lesson plans... all linked to searchable learning targets. The PiFactory is the update of the award-winning www.pifactory.co.uk, beloved of student maths teachers in the UK as a great resource of freebie resources for years. Now, we are updating... launching a revolution in math assessment, assessment based on student self-assessment and assessment based on achievement of learning targets, not points. Here students, parents and teachers will find an abundance of materials to help with math in the classroom and at home: ♦ ClassStuff... using popular programs such as Excel, Powerpoint, Word as well as more specialist programs such as Geometer’s Sketchpad. All are designed for projection in the math classroom. ♦ MathMaps... showing clearly how math ideas and concepts link and flow from one to the other plus examples and key words. ♦ MathTargets... listing ordered learning targets in student-friendly sentences. All is downloadable for just 10 cents! All you need to do is register, download... your personal details are guaranteed only for this site, no sales to third parties.

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