**TEMPORARY PAGE TO BE DELETED SHORTLY**

DATE PUBLISHED

April, 2016.

TITLE

A new model of multiplication via Euclid (Multiplication on the reals

with a circle)

ABSTRACT

For the past 446 years, many people in the West have been misled by

the 'MIRA' multiplication myth, 'Multiplication Is Repeated Addition'.

It is thought the Greek mathematician, Euclid of Alexandria, defined

multiplication as repeated addition around 300 BCE, yet he didn't.

PRIVATE REVIEW COPY

http://www.jonathancrabtree.com/mathematics/wp-content/uploads/2016/07/2016-JCRABTREE_A_New_Model_of_Multiplication_via_Euclid_Final.pdf

REASONS FOR SUBMISSION

1) This writing reveals logical and historical errors in elementary

mathematics education. We have had the wrong idea about multiplication

since February 1570.

2) The London Mathematical Society featured the geometry mentioned in

this article.

http://education.lms.ac.uk/2015/04/jonathan-crabtree-multiplication-on-the-reals-with-a-circle/

NOTE: The applet that accompanies the diagrams in the article is at:

http://tube.geogebra.org/student/m702787

3) Eminent professors of geometry appear unaware of the elementary

model this article introduces.*

ABOUT THE JOURNAL VINCULUM

Name of Publisher:

Mathematical Association of Victoria

ISSN: 0157-759X

Publication Year: 1964-

Publication Frequency: Quarterly

Subject Covered: Mathematics ; Secondary education