math – update

blogging & searching for true math …

No motivation for school-math…

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No motivation for school-math is more and more frequent! 4% less German pupils than ten years ego, say they have fun with math. Why is that??… Are math classes so bad, so uninspiring??… Too hard??…

Yes?!… No!?…

Isn´t it obvious that in this new information age we have entered, we must learn/teach how to think??… This is, how to think mathematically!!…

Mathematical freedom and ideas are fascinating! We not only can  – and must –  explain the logic behind arithmetic and algebraic rules, but we may also show amazing math stuff at school. Like finding the sum of all the powers of 1/4 just by using the drawing of a triangle, or proving the existence of infinite many prime numbers in only 5 lines, or we may see in sunflowers and pineapples one of the most astonishing succession of numbers ever!!… -. These and many other real mathematical ideas may be explained and studied at school, with examples from the most simple to the more complex. But always recalling that math becomes more and more complicated rapidly, and thus we don´t need to make it unnecessarily complex. Actually, not every answer may be found at school… But every question may be asked.

“A good math class should also convey a conceptual understanding of math. The pupils should learn, to think as a mathematician, to move freely in the math structures”, calls upon Andreas Schleicher (Organisation for Economic Co-operation and Development) OECD-Director of the Education Directorate.

Skills in arithmetics are obviously needed, but disgusting routine calculations are not. Furthermore, a wonderful and special feature of math is that if you understand what you are doing, say dividing numbers of 2 digits, then you know how to do it with numbers of 3 or more digits… Understanding replaces repeated calculations!… Understanding replaces brute force 😉 …

Mathematics must be inspiring for pupils, says the mathematician Günter M. Ziegler.

❤ Yeah!!… Since that´s Mathematics!!…

Excepting for the survivors of the system who go into STEM careers  – where the system justifies itself, and where students too must discover math many times by themselves, if at all –  the rest of people say the truth: They have completely forgotten the so-called “school-math”! That means almost 12 years of senseless time at math classes!… 😦 How can we live with that!?!

Mathematics  – this amazing discovery & creation –  has always evolved, while trying to find answers to the practical problems of each epoch, and since more than 2500 years, also to problems of its own. Something that todays schools seem to have absolutely forgotten.

Furthermore, math has exponentially grown in the last few decades. Many new “branches” of mathematics  – around 70 –  are now part of what we should recognize as “math”. We have gained new, deeper and fascinating insights of our field. Something we must learn to communicate. For example, as physicists do!

On the other hand, elementary mathematics  – the math we should be teaching at school (not to be confounded with trivial!) and which every educated person should aspire to know, at least to be aware of one of the greatest achievements of mankind, if not for hundred other reasons –  will always remain the most beautiful and comprehensible part of math. How lucky 😉 we are!!…

Professor Ziegler writes in the Berliner Tagesspiegel a passionate plea for inspiring math classes. Math should also be presented to pupils as a cultural achievement, as a science full of puzzles, hard problems, great discoveries and wonderful structures… Of course also as a part of our everyday life, since math is hidden in weather forecasts, in traffic plans, or chips designs. But also as a science of  logic and reason, a science of proofs and contradictions. For this, one needs first and foremost gut teachers. And they are missing.

 

* Source: Deutsche Schüler haben immer weniger Lust auf Mathe Von Christiane Habermalz

Paul Lockhart

“Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations” ― Paul Lockhart, A Mathematician’s Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form

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Author: Math - Update

Updating Math In Our Mind & Heart!!...

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