Math Manipulatives: About Virtual Manipulatives Math Manipulatives contains three pages of resources: About Virtual Manipulatives What is a virtual manipulative? In What are Virtual Manipulatives?, Patricia Moyer, Johnna Bolyard, and Mark Spikell (2002) defined a virtual manipulative as "an interactive, Web-based visual representation of a dynamic object that presents opportunities for constructing mathematical knowledge" (p. 373). Static and dynamic virtual models can be found on the Web, but static models are not true virtual manipulatives. Virtual manipulatives have a range of characteristics, such as pictorial images only, combined pictorial and numeric images, simulations, and concept tutorials, which include pictorial and numeric images with directions and feedback (Moyer-Packenham, Salkind, & Bolyard, 2008). Back to top What role can virtual manipulatives play in learning mathematics? According to Douglas H. Christopher Matawa (1998, p. 1) suggested many Uses of Java Applets in Mathematics Education: Applets to generate examples.
The Harmonious Mathematics of Music | Science4All According to legend, the Ancient Greek Pythagoras was once walking on the streets of Samos, when the sounds of blacksmiths’ hammering suddenly gave him an epiphany. Pythagoras rushed into the shop and, as he analyzed mathematically the shapes of the blacksmiths’ hammers, he laid the foundations of music that today’s Rihanna, Shakira and others are building upon. Wait a minute… Are you talking about the guy from the Pythagorean theorem? I am. I’ve been a bit reluctant about writing this article at first because I’m very, very bad in music. The Perfection of Octaves As the story goes, when Pythagoras started to play with hammers, he noticed that two of them were particularly harmonious with respect to one another. What did he find out? The heavier of the two hammers was exactly twice the weight of the lighter one! Exactly twice? I know! Okay, actually, this beautiful story is probably apocryphal… But is there a Pythagoras’ story that’s not apocryphal? That is very surprising… and intriguing!
10 Unusual Ways to Explore Math I confess. I never really liked math. I played the school game well so I received pretty good grades, but after I passed the test (even after receiving an A in most cases), those rules, theorems and facts didn’t stick around for very long. The problem was everything was drilled into me, or as I like to think now, drilled out of me. I’m so excited that now, as an adult, I have the time and opportunity to get to know math all over again with my kids. Over the next few weeks, I’m going to take subjects traditionally taught in schools, one subject each week, and show you how they can be looked at in unusual ways. Here’s a list of ten unusual ways to look at math. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Do you have any ideas about how math is connected in unusual ways to your world? Did you like this post? Photo Credit: fdecomite
BASE Cinque light - Appunti di Matematica ricreativa 1 agosto 2023 Un articolo da ricordare per investigazioni future. Turner H. A., Humpage M., Kerp H., Hetherington A. Science. 2023, Jun 16. La maggior parte delle piante esistenti oggi mostra schemi fillotattici descritti matematicamente dalla sequenza di Fibonacci. Gli autori hanno scoperto che la fillotassi nei fossili del licopode del Devoniano inferiore, Asteroxylon mackiei non seguiva la sequenza di Fibonacci. I risultati della ricerca fanno luce sulle origini delle foglie e dimostrano l'antichità delle spirali non di Fibonacci nelle piante. 25 luglio 2023 Beh, ho imparato che scissor congruence è un termine tecnico. 26 giugno 2023 Ultimamente ho potuto confrontare l'edizione inglese con quella italiana del libro sugli insiemi di Abian: Alexander Abian, The Theory of Sets and Transfinite Arithmetic, Saunders, 1965. L'edizione inglese di questo libro è di circa 400 pagine mentre l'edizione italiana citata è di circa 800 pagine. E' lunga il doppio. 22 giugno 2023 Alexander Abian (1923-1999)
Yummy Math Digamma Function -- from Wolfram MathWorld A special function which is given by the logarithmic derivative of the gamma function (or, depending on the definition, the logarithmic derivative of the factorial). Because of this ambiguity, two different notations are sometimes (but not always) used, with defined as the logarithmic derivative of the gamma function , and defined as the logarithmic derivative of the factorial function. The th derivative of is called the polygamma function, denoted . is therefore frequently used for the digamma function itself, and Erdélyi et al. (1981) use the notation for . is returned by the function PolyGamma[z] or PolyGamma[0, z] in the Wolfram Language, and typeset using the notation The digamma function arises in simple sums such as where is a Lerch transcendent. Special cases are given by Gauss's digamma theorem states that (Allouche 1992, Knuth 1997, p. 94). An asymptotic series for the digamma function is given by is the Euler-Mascheroni constant and are Bernoulli numbers. The digamma function satisfies
Thinking Blocks | Model and Solve Math Word Problems Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Thinking Blocks® Interactive Tutorials advertisement Thinking Blocks Junior Addition and Subtraction Multiplication and Division Fractions Ratio and Proportion Modeling Tool Addition and Subtraction Part-Whole A Part-Whole B Two Steps Compare A Compare B Compare C Multiplication and Division Multiply Divide Mixed Operations Critical Thinking Fractions Fraction of a Set A Fraction of a Set B Fraction of a Set C Add and Subtract A Add and Subtract B Multiply and Divide Decimals and Percent Decimals A Decimals B % of a Number Taxes, Tips, Sales % Challenge A % Challenge B Ratios Part-Total Three Quantities Algebra Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Copyright © 2017 Math Playground LLC • All Rights Reserved
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