Characteristics of Modern Mathematics
What are the characteristics of mathematics, especially contemporary mathematics? I’ll consider five groups of characteristics: Applicability and Effectiveness, Abstraction and Generality, Simplicity,...
View ArticleA Course in the Philosophy and Foundations of Mathematics
An examination of mathematical methods and the search for mathematical meaning. This article curates a reading list (most sources available freely online1) organized into a set of encounters that lie...
View ArticleTeaching Enriched Mathematics
Thoughts on Teaching Mathematics in an Exploratory, Dialectical, Topical format. (2nd ed. July 13th 2016; 1st ed. Jan 31, 2010) Mathematics is a richly spun tapestry, threaded with interconnections...
View ArticleCoding for pre-schoolers: a ‘Turtle Logo’ in Forth
*New!* (29 Aug 2020) – Turtle Logo v1.8 (portable) is available! Developer kit with source code included. Suitable from ages 3 years to adult. (970 lines of Forth code). 1. Inspiring the next...
View ArticleElectronics 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...
View ArticleBuilding a 13-key analog piano from only resistors, capacitors, and transistors
Building a fully analog electronic piano using only resistors, capacitors, and transistors, is an insightful experiment in electronic sound generation from first principles. I designed and built a...
View ArticleExperimenting with Microcontrollers – an Arduino development kit for under £10
For under £10, you can put together a microcontroller development platform, ready to program directly from your PC over USB using free Arduino software. Once programmed, your microcontroller will run...
View ArticleMaking Animation from Stills
Hi, my name is Jasmine, and I’m 7 years old. Today I made two animated movies, The Basket (1m 18s long) and Snowbell’s Accident (2m 23s long) (Nov 2nd, new with audio!) Enjoy! I made these by taking...
View ArticleThe Benefits of Enriched Mathematics Instruction
2nd ed. June 2023; 1st ed. April 2010 The term “mathematical maturity” is sometimes used as short-hand to refer to a blend of elements that distinguish students likely to be successful in mathematics....
View ArticleWhat is Mathematics?
4th ed. Jan 2024; 3rd ed. May 2023; 2nd ed. Dec 2009; 1st ed. Sep 2004 “It is not philosophy but active experience in mathematics itself that alone can answer the question: `What is Mathematics?'” –...
View ArticleThe Sacred and the Profane: software engineering & the search for simplicity...
4th ed. (Jan 31st, 2024), 3rd ed. (Jul 20, 2021), 2nd ed. (Apr 9, 2014, addition of GCC history), 1st ed. (May 2, 2010) If you haven’t done so already, you may want to start by reading the Preface to...
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