# Arama Sonuçları

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## Blog Yazıları (14)

- Christmas Lectures by Royal Institution
Started by Michael Faraday in 1825, and now broadcast on UK national television every year, the CHRISTMAS LECTURES are the UK's flagship science series. The CHRISTMAS LECTURES are repeated in a number of countries across the world like Singapore and Japan. This year's lecture is given by Mathematician Dr Hannah Fry (@FryRsquared) - Secrets and lies: The hidden power of maths. Hannah Fry revealed a hidden layer of maths that now drives everyday life in powerful and surprising ways. Life’s most astonishing miracles can be understood with probability, big data dictates many of the trends we follow, and powerful algorithms secretly influence even our most important life choices. Broadcasted on BBC 4 at 8pm on 26, 27 and 28 December and now on the Youtube. Yesterday the final lecture has been uploaded the RI channel. Part 3: How Can We All Win? The final lecture is about why maths can fail and asks what the limits of maths are. Part 2: How to Bend the Rules It is about how data-gobbling algorithms have taken over our lives and now control almost everything we do without us even realising. Part 1: How to Get Lucky It is about how mathematical thinking and probability can allow us to understand and predict complex systems - even helping us to make our own luck. To watch all the videos by Hannah Fry you can visit her website You can watch the past lectures to catch up with past CHRISTMAS LECTURES in full and for free on RI's online archive. There are three books related with Christmas Lectures - 13 journeys through space and time by Colin Stuart - 11 Explorations into Life on Earth by Helen Scales - 10 Voyages Through the Human Mind by Cat de Lange You can support and donate for the Christmas lectures here Click here for the Royal Institution Youtube Channel

- Quanta Magazine
I would like to introduce you "Quanta Magazine" https://www.quantamagazine.org/ Quanta Magazine is an editorially independent online publication launched by the Simons Foundation to enhance public understanding of science. Why Quanta? Albert Einstein called photons “quanta of light.” Our goal is to “illuminate science.” You can find articles about physics, biology, mathematics as well as the computer science It has been already but with the latest addition to the magazine, it becomes a must-to-read resource for every math-lover. The Map of Mathematics The writers define the map as "From simple starting points — Numbers, Shapes, Change — the map branches out into interwoven tendrils of thought. Follow it, and you’ll understand how prime numbers connect to geometry, how symmetries give a handle on questions of infinity. And although the map is necessarily incomplete — mathematics is too grand to fit into any single map — we hope to give you a flavor for the major questions and controversies that animate the field, as well as the conceptual tools needed to dive in." You will not be able to leave the platform when navigating on this map. Another great math article from the magazine is "Solution: ‘Natural Law and Elegant Math’" addresses Eugene Wigner’s famous article “The Unreasonable Effectiveness of Mathematics in the Natural Sciences and asks if it is that the way nature really works? Since launching as Quanta on July 16, 2013, the magazine has attracted a loyal and rapidly growing audience through its core news features as well as interviews, columns, blog posts, videos, puzzles and podcasts. The magazine’s seven-minute planetarium show, titled “Journey to the Birth of the Solar System,” has been picked up by 14 planetariums and counting. Picture is teken from the article "How Simple Math Can Cover Even the Most Complex Holes" Two Quanta Magazine writers have been recognized for their recent work covering physics and mathematics. Natalie Wolchover, Quanta’s senior physics writer, won the American Institute of Physics’ 2017 Science Communication Award in the articles category for her story “What No New Particles Means for Physics.” Kevin Hartnett, Quanta’s senior math writer, will be featured in The Best Writing on Mathematics 2017 for his feature “A Unified Theory of Randomness.” Have a good read! Do not forget to come back for funmathfan :)

- Adaptive Learning
When Bloom published the two-sigma problem in 1984, he shared two fundamental findings. The first one is that “everyone can achieve” and the second one is “a student taught 1-1 using mastery learning methods performed above 98% (2 standard deviations) better than a student taught in a conventional class setting. These results are not very surprising since the lower teacher to student ratio always leads to better results in learning. On the other hand, providing a private tutor for every student is too expensive and well there is not enough teachers to do that .. So, the question becomes; Is there a way to achieve the 1-1 teaching? Educators all over the world research to find an answer to this 30-year-old problem. Everyone is thinking about if the use of technology in the classroom can solve this problem. Despite all the efforts and progress, technology still has not reach to the level of 1-1 tutoring. What about Artificial Intelligence? Can AI respond the unique needs of each individual by using learning theories, predictive analysis, cognitive science and machine learning? Adaptive Learning is defined as “The field—which uses artificial intelligence to actively tailor content to each individual’s needs—draws upon knowledge domains as diverse as machine learning, cognitive science, predictive analytics, and educational theory—to make this learner-centered vision of education a reality.” Adaptive courses are personalized to each learner. Individuals’ learning paths are determined by learner inputs, such as performance, prior knowledge, and engagement, that drive an adaptive algorithm. Bite-size modules with granular learning objectives are very important for adaptive learning. Granular LOs allow the algorithm to pin-point specific concepts a learner may be struggling with, and then provide immediate remediation to target their specific knowledge gaps. Adaptive Learning uses the mastery-based” learning idea. Learners must achieve proficiency in order to progress and complete the course; learners can spend however long they need to master concepts. Adapting Learning also requires adapting testing. Different types of assessments engage different types of learners. Providing assessments in a variety of formats leverages the available diversity in order to better assess a learner’s mastery of the content. Adaptive testing is figuring out each learner’s proficiency or skill-level in as few questions as possible. Item Response Theory” and “Knowledge Space Theory” are used in both adaptive learning and adaptive testing. HOW IT WORKS? Adaptive learning provides “Individualized mastery-based” learning by using four theories. >> Metacognitive theory (The learners learn best when they know what they don’t know.) >> . Theory of Game Design ( where the idea of levels of the games must be engaging as well as challenging enough so that you continue to work on it but it has to be still archivable so that you cannot loose all the time which means you lose your motivation to continue) >> . Ebbinghaus Forgetting Curve (AI simply decides the number of repetitions you need to put a skill or a knowledge to your long-term memory and it provides that repetition just before you forget something) >> Theory of Deliberate (Deep) Practice. Practice and practice until it become a part of the automaticity. Remember, Erickson claims that it takes 10 000 hours of practice to become an expert on something so it rephrases the belief of “experts are always made, not born”. Intentional focus (practice has to have a specific target) Challenge exceeds skills Immediate feedback Repetition to Automaticity Since modules of the adaptive learning are bite-size, It gives the insight down to the granular level of the each learning objective and how the learner interacts with it. AI can use this data to find out what’s working, what's not, what the patterns are across the group and most importantly, use to optimize each learners path to mastery. Since time is the most valuable asset of us, adaptive learning achieves efficiency in time by showing to each learner only what they need to see at only when they need to see it. Mc Graw Hill is one of the leading publishers becomes a pioneer in adaptive learning with ALEKS. Assessment and LEarning in Knowledge Spaces is a Web-based, artificially intelligent assessment and learning system. ALEKS uses adaptive questioning to quickly and accurately determine exactly what a student knows and doesn't know in a course. You can try ALEKS by checking the Mc Graw Hills website Overall, I really liked the idea of AI provides individualized mastery-based learning, I have tried to sample adaptive learning module as well, I particularly liked the way it asks the confidence level of the learner at each question. Being able to collect data about accuracy, time spend, and confidence of the learners can give you a great insight to revise your instruction as well. On the other hand, creating bite-size modules by using granular LO's requires a very detailed work and very long time, and I wonder what happens if the task or the problem involves or requires using more than one objective or higher-level objectives. I wonder how you think? Resources: - https://prod-edxapp.edx-cdn.org/assets/courseware/v1/5bd9250eceebea4202f2e042c5e7568b/asset-v1:USMx+LDT200x+3T2019+type@asset+block/Universal_Design_for_Learning.pdf - https://hbr.org/2007/07/the-making-of-an-expert - https://www.mheducation.com/ideas/what-is-adaptive-learning.html.html.html.htm

## Sayfalar (41)

- Math Posters | MATH FAN
Displays Math Boards Math Posters Math Class Floor Prints Math Cabinet Math Park MATH POSTERS Fun Math Fan Posters Free Download Spiral of Theodorus Free Download Sierpinski Triangle Free Download Ada Lovelace Free Download Pi Day Free Download Multiplication Table Free Download Iconic Number Free Download Marie Curie Free Download Square Root Day Free Download Star Wars - Astronomy I Free Download Kite Squares Free Download Measurements Free Download 17 Symmetry Groups Free Download Pyhthagorean Theorem Day Free Download World Oceans Day Free Download Star Wars - Astronomy II Free Download Binomial Cube Free Download Infinity Hotel Posters for Square Ceiling Tiles Here is an example of the ceiling transformation. Click here for the prints of square ceiling tiles of the math classrooms. There are more than 60 different free posters in the file as a pdf document. Women in Mathematics (FREE) Poster Collection Free Posters Celebrating Women Role Models in Science, Technology, and Math by A MIGHTY GIRL . Visit her website to download these marvelous posters. Plus Posters Math Welcome Poster Banner Visit the great math blog M+A+T+H= love by Sarah Carter to see all the math posters she has created and download the Mathy Letters Poster Set created by + Plus Magazine (free) Mathematics Timeline Poster by Mathigon Visit Mathigon Gift Store to purchase the Timeline of Mathematics Poster Numberphile Poster Collection Visit Numberphile Merchandise to purchase one of a kind Math posters Fractal Posters Mandelmap Fractal Poster by Bill Tavis You can buy the poster in two different sizes from Amazon . To purchase: Here are some links where you can purchase mathematical posters; Nasco Education Tarquin Group Amazon

- Projects | MATH FAN
Math Fan Content Lessons Tasks Math Club Projects Math Project Ideas Math @ Home Games & Puzzles Math Magic Math & Art Long Term Projects, Researchs Mystery Mathematician "?" Until 17th century algebra and geometry were two distinct branches of mathematics. He was the first man who combines algebra and geometry to provide a great tool for visualizing equations with two variables. Name this famous philosopher and mathematician. His middle name is given to Coordinate Plane There are different stories about how he discovered the analytic geometry. Search about them. Introduce his findings and philosophy. Introduce the mathematical concept and equations. Write a few examples of his famous quotes. He is one of the other famous mathematicians who is also a very well-known Philosopher. Can you name others? What do you think, why are so many philosophers also mathematicians? Useful resources: 1 and 2 Back to Top Impossible Objects - How to make them possible? What is an impossible object? Do you see any impossible objects around you? -bottles with no insides (or outsides), one-edged loops, solid ball with no fixed size. Can you make any impossible objects by using only a piece of paper and glue? Have you ever heard about Mobius Strip? Who discovered it? Watch the video here and learn about the original name of the shape? Why this shape is so special? Repeat the same magical moves to create a four-twisted loop, a square and the hearts as you have seen in the video. Start your loop with a single twist. Make your prediction before unravelling the pieces–how many pieces will there be after halving horizontally? Will they be all the same size? How many twists will they have? Then cut it again. Answer the same questions. What happens if you start with a double twist? Then, search about the recycling logo. Who has designed it and when? Find out the origins of this logo. Useful resources: 1 Back to Top Mathematics and Philosophy What is mathematics? How do YOU define it? Is math science or art? Is math invented or discovered? Read the book “Is God a Mathematician by Mario Livio ” Watch the TEDed video by jeff Dekofsky. Find the famous mathematicians and their supporting arguments for these famous debates Write your thoughts and give examples to support your ideas. What do you think, why are so many philosophers also mathematicians? You can suggest additional sources to your readers to follow your footsteps. I mage is taken from the Authors' website https://www.mario-livio.com/books Back to Top Infinity and Far Beyond What is infinity? Give examples to infinite things? Can you make operations with infinity? How many natural numbers are there? How many evens? How many rational numbers are there between 0 and 1? What about between 0 and 2? So is one infinity bigger than another? Search about famous mathematician Cantor and his approach on the cardinality of the number sets What is the history of infinity? Invented or Discovered? Who has found its symbol? Search about Hilbert’s famous infinity hotel problem? Ask it to your friends. Suggested reading: Beyond Infinity by Eugenia Cheng Math and Infinity by Ali Nesin Back to Top Do prime numbers have primary importance? Is 1 a prime number? Are there more composite or prime numbers between 1-10? what about without boundaries? Is there a pattern among the prime numbers? Interesting facts about primes? ( ex: between a number and its double there is always a prime number) List the methods to find primes. What is your favorite? Search about Goldbach Conjecture. Explain it by giving examples What are the other famous conjectures and theorems about prime numbers? Visit https://www.mersenne.org to join internet’s biggest Mersenne Prime Search. What is the largest known prime? Who , when and how was it found? Watch the videos of Standupmaths videos by Matt Parker about prime numbers on YouTube. Where do we use prime numbers in our daily life? Why are they so important? Back to Top Euclidian Geometry... Wait! There are other geometries?! Search about the origins of the Geometry? Who can be named as the father of geometry? Search about the plane Geometry? What are the basic axioms of plane geometry? Most of the Ancient Philosophers were also great mathematicians who studied the basic concepts of Geometry. Name a few of them. Additional search: focus on famous painting of Raphael “The School of Athens” give information about the mathematicians pictured in this masterpiece. Give examples of famous quotes about the relation between philosophy and geometry. Who has found the non-euclidian geometry? Find some demonstrations on internet Bring a spherical balloon or ball to your presentation to make a demo of non-Euclidian Geometry. Euclid's Elements Image is taken from the taschen.com Back to Top Iconic Number of Math It is not possible to write it as a ratio of two integers yet it is the ratio circle’s circumference to its diameter. People have calculated the first 10 trillion digits of it, though for most purposes – such as designing a building or sending a spacecraft to Mars. Search about the different calculation methods of this number Calculate it by using infinite series Use Buffon’s Needle Problem Use the polygons method of the Ancient Greek mathematician Archimedes By playing Dart (1) Or with a pendulum (2) Look up the most famous rivers on earth. Calculate the ratio of the river's actual length to the distance from its source to its mouth as the crow flies. Ready to be surprised! You can find yourself discussing whether math is an invention or discovery! (3) Check the website & video for the artistic perspective of this fascinating number. There are several books, articles and online resources about this iconic number of Math. Complete your research and represent the most exciting facts about it. Useful Resouces: 1 . 2 . 3 Back to Top

- Playground Math | MATH FAN
Math Fan Content Lessons Tasks Math Club Projects Math @ Home Math Magic Games & Puzzles Math & Art Playground Math & Physics << Math Park << Lessons TASK #1 Slides with Desmos When Sonic the Hedgehog (35 kg (77 lb.) came to Earth, he slide down a slide of the length of 12.8 meters and the height of 8 meters without using his enormous speed and comes to a gradual stop at the bottom. Calculate the energy transferred and average frictional force on Sonic. Just before Sonic starts sliding, he has a gravitational potential energy which first turns to kinetic energy since he slides. We also know that he gradually stops and that's because of the friction ( slide's surface and air resistance). When he stopped, we can roughly say that his kinetic energy transformed the thermal energy. What is the steepness of the slide? What happens if we increase the length of the slide without changing its height? If we increase the height of the slide to 10 meters, how long a slide we need to make him gradually stop without falling off the slide. Calculations behind the Slope slides can be more complex. Here is a manufacturer's website about the measurements. TASK #2 Swing - outdoor Note the mass of the person who will be on the swing in kilograms. Measure the length (the length of the ropes or chains) of the swing. Estimate how high the person can swing using a meter stick. Calculate the potential energy of the person at this height. (g =10 N/kg) EP = mgh Estimate the angle of a complete back and forth swing. Find the distance of the kid travel using the angle and the length of the swing. Record the time it takes for the swing to go from one side to the other side. Calculate the angular velocity of the swinger. Now Calculate the kinetic energy of the swinger EK = ½ mv2 Here is a Desmos lesson about Modelling the Motion of a Swing. Geogebra TASK #3a Seesaw with an adjustible pivot Yoda (40kg) and Anakin (90 kg) want to bring balance to the force. They are on a 2 meters long seesaw. Where should they place the pivot point to create the balance? TASK #3b Seesaw with a fixed pivot Yoda (40kg) and Anakin (90 kg) want to bring balance to the force. They are on a seesaw with a fixed pivot. Force (and the Polypad) gives them the power to clone themselves as many as they wish. Create the balance on the Polypad by cloning them. TASK #4 Measuring the height of trees - Clinometer Activity Find a place to stand where you can see the top of the tree. Keep your distance from the tree measurable and as big as possible. You can easily make a clinometer using a large protractor, a straw. Check the instructables page for detailed instructions. Look through the clinometer to see the top of the tree. Read the angle on the clinometer. Here you created a right triangle where you know an angle and a side (distance from the tree). With the help of trigonometry, you can calculate the height of the tree. Instructables Using a Clinometer to Measure Height Exploratorium Height Sight Find the height of a tree, a flying paper rocket, or even the North Star! NRICH Making Maths: Clinometer Out of gallery