In liberal arts education, the quadrivium consists of the four subjects or arts taught after the trivium. The word is Latin, meaning 'four ways', and its use for the four subjects has been attributed to Boethius or Cassiodorus in the 6th century. Together, the trivium and the quadrivium comprised the seven liberal arts, as distinguished from the practical arts.
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The mathematical sciences research institute (msri), founded in 1982, is an independent nonprofit mathematical research institution whose funding sources include the national science foundation, foundations, corporations, and more than 90 universities and institutions. the institute is located at 17 gauss way, on the university of california, berkeley campus, close to grizzly peak, on the
Related demonstration files at quadrivium.info: similar right triangles geometric means descartes's machine used to solve a "two mean proportionals" problem descartes's machine used to plot points on the graph of a logarithm function descartes's construction used to find the slope of a tangent to a logarithmic graph.
Facts about the area under a parabolic curve were known to the ancient greeks; no calculus is necessary to derive these facts. take a tangent, a, to the parabola at e, and a line, c, through e, that is parallel to the line of symmetry of the parabola.
Hola rafael i have started some ggb-applets for fractions. they are not yet finished, but may be the will help you a bit. as they are on my other computer i need to start it, to add it the forum.
rene descartes, in his geometry (1637), invented a machine for solving the “mean proportionals” problem in modern terms, that means finding a geometric sequence with n terms that starts at a number a and ends at b.see the geogebra file descartes's mean proportionals machine that machine can be repurposed to construct the graph of a logarithm function.
In this paper we investigate how newton discovered the generalized binomial theorem. newton`s binomial theorem, or binomial series can be found in calculus text books as a special case of taylor
John wallis, in arithmetica infinitorum (1656) john wallis presented this table. the column number is p, and the row number is q. the entry in the table is the ratio of the area under the curve y=(1-x^(1/q))^p, to the area of the circumscribed unit square; this is called the characteristic ratio of the function.
I do have one book by davydov in pdf format i can send via email and an interesting 2013 article by yuri karpov – “a way to implement the neo-vygotskian theoretical learning approach in the schools” that i can send. there was research done in upstate new york by the late jean schmittau on the davydov approach.
Slide rules - free download as pdf file (.pdf), text file (.txt) or read online for free.
For decades, educators have advocated using history of mathematics in mathematics classrooms. empirical research on the efficacy of this practice, however, is scarce. a quasi-experiment was used to investigate the effects of using history as a tool to teach mathematics on grade 11 students’ mathematics achievement. effects in three affective domains (attitudes, anxiety, and motivation) were
The role of historical studies in mathematics and science educational research david dennis mailing address: dr. david dennis 4249 cedar dr. san bernardino, ca 92407
Quadrivium.info has a nice article by dennis and addington about conic sections for apollonius' cone. this printable cone contains posts so that the parts can be conveniently assembled. the arrangment of objects when printing provides support to the posts so there is no need for additional support structures. this object was created using openscad.
Quadrivium.info measuring the world is a textbook for a mathematics course for future elementary and middle school teachers, written by susan addington and david dennis. the book is a unified course of study based on a foundation of measurement concepts and practices. . . .
Occupation: math professor website: www.quadrivium.info marital status: married last edited: 2012-08-06 15:50:37 from susan: after bothering to get a phd in pure mathematics, i have been working backwards my whole professional life to end up in elementary school math!
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