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Thomas Jefferson and his Decimals 1775-1810: Neglected Years in the History of U.S. School Mathematics (Hardcover, 2015 ed.)
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Thomas Jefferson and his Decimals 1775-1810: Neglected Years in the History of U.S. School Mathematics (Hardcover, 2015 ed.)
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This well-illustrated book, by two established historians of school
mathematics, documents Thomas Jefferson's quest, after 1775, to
introduce a form of decimal currency to the fledgling United States
of America. The book describes a remarkable study showing how the
United States' decision to adopt a fully decimalized, carefully
conceived national currency ultimately had a profound effect on
U.S. school mathematics curricula. The book shows, by analyzing a
large set of arithmetic textbooks and an even larger set of
handwritten cyphering books, that although most eighteenth- and
nineteenth-century authors of arithmetic textbooks included
sections on vulgar and decimal fractions, most school students who
prepared cyphering books did not study either vulgar or decimal
fractions. In other words, author-intended school arithmetic
curricula were not matched by teacher-implemented school arithmetic
curricula. Amazingly, that state of affairs continued even after
the U.S. Mint began minting dollars, cents and dimes in the 1790s.
In U.S. schools between 1775 and 1810 it was often the case that
Federal money was studied but decimal fractions were not. That
gradually changed during the first century of the formal existence
of the United States of America. By contrast, Chapter 6 reports a
comparative analysis of data showing that in Great Britain only a
minority of eighteenth- and nineteenth-century school students
studied decimal fractions. Clements and Ellerton argue that
Jefferson's success in establishing a system of decimalized Federal
money had educationally significant effects on implemented school
arithmetic curricula in the United States of America. The lens
through which Clements and Ellerton have analyzed their large data
sets has been the lag-time theoretical position which they have
developed. That theory posits that the time between when an
important mathematical "discovery" is made (or a concept is
"created") and when that discovery (or concept) becomes an
important part of school mathematics is dependent on mathematical,
social, political and economic factors. Thus, lag time varies from
region to region, and from nation to nation. Clements and Ellerton
are the first to identify the years after 1775 as the dawn of a new
day in U.S. school mathematics-traditionally, historians have
argued that nothing in U.S. school mathematics was worthy of
serious study until the 1820s. This book emphasizes the importance
of the acceptance of decimal currency so far as school mathematics
is concerned. It also draws attention to the consequences for
school mathematics of the conscious decision of the U.S. Congress
not to proceed with Thomas Jefferson's grand scheme for a system of
decimalized weights and measures.
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