DigiMat from School to Pro

in Swedish

Copyright © Claes Johnson All rights reserved

DigiMat is new reformed mathematics education for the digital world consisting of the programs

DigiMat Encyclopedia collects course material supporting these programs.

DigiMat meets new school syllabus (TIMSS 2019 Encylopedia) with programming part of mathematics. Read Me.

To get a jump start go to Get Started. Possibly get inspiration from recorded NCM-zoom-seminar (in Swedish).

Calculus formed by Leibniz and Newton in the late 17th century is the mathematics of change driving the scientific and industrial revolution, which in different forms is the main subject of both school and university mathematics.

The Calculus of the digital society is Digital Calculus or DigiMat.

DigiMat gives new answers to the key questions of what, why and how of mathematics education with the traditional answers no longer relevant in the digital society. See Digital vs Symbolic Calculus.

DigiMat is a unique unified program with varying depth and scope over all levels with computation as leading principle as a form of computational Calculus or Digital Calculus, as expressed in DigiMat Syllabus.

DigiMat combines formal mathematics with programming into a synthesis of computational mathematics/Calculus, which in different forms can serve many different students with different interests and capacities, under the motto mathematics+programming:

  • Programming gives mathematics a turbo.
  • Mathematics gives programming meaning.

All mathematical objects are constructed by computation according to computer programs as mathematics expressed in symbolic form, with object properties emerging from construction. DigiMat uses the handy p5.js JavaScript web editor.

DigiMat is learning-by-constructing which gives the student an active role in what can be described as construction of computer games with interaction man-machine, which is captive to the young mind. 

DigiMat is understandable, because a principle of construction can be understood as well as properties emerging from construction, and useful by turning principle into output by powerful computing.

Mathematics is unique as science in that the most basic directly connects to the most advanced. This means that in DigiMat the same basic constructive principles are used on all levels, with only different depths and complexity, just like in learning to play a musical instrument.

DigiMat School carries school mathematics far beyond traditional limits with direct connection to DigiMat Pro, where the basic models/codes of DigiMat School are automatically expanded using FEniCS into frontier research/professional simulation as FEniCS-HPC.

DigiMat reflects a practice-theory approach (practice followed by theory) instead of traditional theory-practice, where practice is coding of a model in simple form and theory as analysis of accumulated experience develops from running the code. This is the way a child first learns to speak words and then through massive experience successively decodes the meaning of the words.

The student thus learns to understand the meaning of the Fundamental Theorem of Calculus expressing the connection between integral and derivative by writing simple codes for summation of little pieces into a total sum. The Fundamental Theorem so releases the power of Calculus to the young mind.

DigiMat is secured to a top academic/professional level by a top rope connecting Pre to Pro through School making meaningful climb possible for anybody to any level.

DigiMat Encyclopedia may at first experience be viewed to primarily address the teacher, but in fact invites to direct exploration by students with the primary role of the teacher to open doors rather than detailed instruction.  This because DigiMat is learning-by-constructing rather than doing-what-the-teacher-tells as an expression of Active Learning-Passive Teaching.

DigiMat School Song

Browse the punch lines under About in header menu:

and then go to Introduction. Compare with Digital Mathematics 2018.

 

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