Articles

Articles

Some of what you’ll find here is theoretical — the research that grounds why this approach works, written by Andrew Waywood PhD. Some of it is investigative — articles that ask difficult questions about how mathematics is taught and why so much of it doesn’t stick. And some of it is practical — written directly to parents who are teaching at home and want to know what to do next.

The Homeschool Series

If you’re teaching maths at home and not sure where to begin — these articles are written for you. Genovieve Grouios MEd covers everything from first foundations to place value and number sense.

Genovieve Grouios
The Homeschool Series Special Edition

12.04.2026

Genovieve Grouios
Homeschooling Mathematics

30.08.2026

Hands holding open the Linear Abacus Concise Instructional Manual showing comic pages inside — maths book for teachers, parents, and children

Genovieve Grouios
The Homeschool Series

22.03.2026

Linear Abacus comic pages from the Concise Instructional Manual — student character thinking through number structure and fractions using the bead string

Genovieve Grouios
The Homeschool Series

22.03.2026

A Concise Instructional Manual for the Linear Abacus — 3D book cover for teachers, parents, and children by Genovieve Grouios and Andrew Waywood

Genovieve Grouios
The Homeschool Series

22.03.2026

Genovieve Grouios
The Homeschool Series

22.03.2026

The Research Behind Linear Abacus

The research foundations of the Linear Abacus methodology. Academic papers by Dr Andrew Waywood PhD, co-creator of the approach.

Grade 5 student renaming a three-digit number multiple ways using the Linear Abacus rectangle — multiplicative renaming through TALK DO WRITE

Dr. Andrew Waywood & Genovieve Grouios
Linear Abacus Research Programme

17.03.2026

Dr. Andrew Waywood
24.02.2024

Linear Abacus in the Media

Published interviews and feature articles on education, equity, and learning — including the Big Smoke Innovate to Educate series.

THE LINEAR LINK

Mathematics Education News

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THE LINEAR LINK

Mathematics Education News and Stories 

Site Members

Get access to our monthly newsletter where we share our latest developments and successes, and provide you with task ideas to use in your home.