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Knowledge Engineering & the Emerging Technologies of the Next Decade*

Between Mathematics, Computer Science, Software Engineering, Electrical Engineering, and Statistics, is emerging an area of effort concerned, not just with using data or information gathered slowly...

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Teaching Mathematics “in Tunic”

Thoughts on Teaching Mathematics in an Exploratory, Dialectical, Topical format. Mathematics is a richly spun tapestry, heavy with exciting interconnections from a multiplicity of endeavors,...

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Good mathematical technique and the case for mathematical insight

Good mathematical technique can bring the solution to certain mathematical questions within reach. By a proper formulation (one that is both tractable and that generalizes readily) and the use of...

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A Course in the Philosophy and Foundations of Mathematics

An examination of mathematical methods and the search for mathematical meaning. During your studies of mathematics, physics and engineering, you may find yourself distracted or troubled by meta...

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The Importance of Non-Technical Questions to Successful Mathematics Education

Students who are hard-working and otherwise successful, but whose peers, mentors, and home environment are mostly non-technical and disengaged from the ideas behind science and technology, are at...

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Coding for pre-schoolers: a ‘Turtle Logo’ in Forth

*New!* (26 Nov) – Turtle Logo v1.4 is available now! 1. Inspiring the next generation of technology builders. A challenge faced by both parents and teachers is how to help young children develop a...

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Electronics in the Junior School – Gateway to Technology

Electronics is a gateway subject to modern technology, along with computer programming and applied mathematics. Getting started in electronics is easier than one may imagine and not prohibitively...

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Building a 13-key pure analog electronic piano

Over the past few weeks, I designed and built this 13-key electronic piano using a chain of 13 analog astable multivibrator circuits whose outputs are connected to an audio amplifier chip (LM386) and...

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Experimenting with Microcontrollers – an Arduino Nano development kit for...

For £12.08, you can own a fully functioning Arduino development board, ready to program directly from your PC using free software and a USB cable. Once programmed, your microcontroller will run...

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LaTeX / TeX: Professional Grade Typesetting for Scientific Writing

(Mathematical Toolset Series) If symbols, formulas, and equations comprise a large portion of your professional communication, then you will gain significantly by becoming proficient with the LaTeX...

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Five Things to Know About Logic, Proof, and Good Communication

Written October 8th, 2014 Logic, proof, and good communication are part of the working life of every professional, but are especially important in mathematics and science. This short note shares five...

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How Algebra became abstract: George Peacock and the birth of modern algebra...

In this article we look at the ideas of George Peacock whose 700-page opus A Treatise on Algebra (1830) transformed algebra into an abstract symbolic science, free from the physical interpretation of...

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Voice-controlled Hardware: Making Sensors Talk for Under £5

Voice controlled hardware requires four capabilities: (1) vocal response to trigger events (sensors/calculations-to-brain), (2) speech generation (brain-to-mouth), (3) speech recognition...

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