Mathematics IT is a mathematics education reform project based on Mathematical Simulation Technology and presented on the blog Mathematics-IT. Mathematics-IT is supported by a set of apps at App Store which can be found by searching for “newmath”. The Swedish version is presented at Matematik-IT
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I have now submitted the following apps to App Store: Counting1: NewMath Calculus1: NewMath Mechanics1: NewMath Mechanics2: NewMath Biology1: New Math Running: NewMath collecting some of the examples presented on Mathematics-IT. The review process takes 1-2 weeks. This is the first step to a realisation of my master plan to present a version of Mathematical […]
I am now testing a version of MST with a group of students in grade 4 (10 years old) at Lugnets Grundskola in Hammarby Sjöstad, Stockholm in the form of Matematik-IT. The plan of the program takes the same form independent of level, from basic through high-school to university: Goal: Interactive digital simulation of real and […]
The basic mathematics courses at university level consists of Calculus and Linear Algebra, which are closely connected and can be thought of as one subject with the objective of mathematical modeling of real and imagined worlds, which consists of (i) formulating and (ii) solving mathematical equations. A Standard Calculus text book, like Calculus: A Complete Course by Adams […]
The BodyandSoul mathematics education reform program was offered to chemistry students at Chalmers 1998 – 2006, but was disrupted when Claes Johnson moved from Chalmers to KTH in 2007. BodyandSoul is now returning to Chalmers as its web version MST appearing as supplementary material in the mathematics program for mechanical and design engineering students. MST […]
A milestone of mathematical fluid mechanics was reached in 2013 as Direct Numerical Simulation (DNS) of the turbulent flow of air around a jumbo jet in landing configuration described by the (incompressible) Navier-Stokes equations, which gives a quality assessment of Mathematical Simulation Technology as an efficient combination of mathematics and physics e.g. opening to the […]
Watch the Resolution of D’Alembert’s Paradox formulated in 1752 which was accomplished in 2008, after 256 years of fruitless struggle, by solving the Euler equations on a computer. Listen to d’Alembert formulating his paradox in 1752. Listen to what Nobel Laureate Sir Cyril Hinshelwood says about theoretical (mathematical) fluid mechanics vs practical (experimental) fluid mechanics. Listen […]
Watch a presentation of a New Theory of Flight explaining why birds and airplanes can fly, which results from solving the Euler equations on a computer. Learn about Incorrect Theories of Flight. Listen to what Richard Feynman says about the way Nature works. Discover the shocking truth about German Aerodynamics. Go to Video Intro 6.
Listen to the master mathematician Leonard Euler (1707 – 1783) delivering the sad message that the solution of the equations describing all of fluid mechanics (the Euler Equations) which he formulated around 1750, has to be postponed until the Computer Age. (But now this Age is here!) Discover the truth about Potential Flow as Solution […]
Lyssna till följande appell riktad till Björklund: Ge Svenska Elever Matematik – IT. Go to Video Intro 4.
1. Learn about Pythagoras-gate, Matrix, Google and Digital Age.. 2. Watch Computational Technology Laboratory TV: 3. Go to Video Intro 3
Here is the first in a series of videos introducing basic concepts, methods, tools and visions of Mathematical Simulation Technology in a short presentation of constructive calculus: Summary: Constructive calculus is classical calculus restricted by the limits of finite precision computation and augmented by the new capacities of automated computation by the computer. In constructive calculus, the elementary […]
After browsing the posts under Introduction you are ready to go to the Map of the main menu. You should also take a look at CTLabTV.
The ibook as the interactive textbook opens to Active Learning: the student works and learns and develops the students writes his/her own ibooks as records of learning. Passive Teaching: the teacher is relieved from elementary routine instruction the teacher can concentrate on higher level tasks such as: encouragement and motivation writing ibooks non-routine instruction. To […]
Since the digital CD has replaced the analog vinyl record, it is natural to expect that the digital ebook will replace the analog printed book, and this is in fact already happening. But how long will the CD and the ebook last? The CD has already largely been replaced by iTunes and iTunes is now […]
Science fiction explores unknown worlds with the help of the fantasy of the human mind stimulated by science and thus is a form of simulation or scientific simulation: These are the voyages of the star ship Enterprise, its 5 year mission to explore strange new worlds, to seek out new life and new civilizations, and […]