Development of Authentic Assessment in Geometry Learning

This study aims to describe the process and results of the development of authentic assessment in teaching geometry which refers to the 4-D model. Geometry authentic assessment in this study includes learning achievement tests, self-assessment, portfolio assessment, performance assessment guidelines, self-assessment guidelines, portfolio assessment guidelines, feasibility test instruments, teacher response questionnaires, student response questionnaires, and validation sheets. The research subjects are 8th-grade students of SMPN 2 Barombong, Gowa Regency. The validity test analysis is rationally obtained through two the results of the validation of experts, test reliability both rationally and empirically, and objectivity using the product-moment formula. The results showed that the authentic assessment met the criteria of being valid, practical, and effective. As a consequence, it is suggested that the development of authentic assessment tools for geometry learning be expanded to other resources to make teacher evaluation easier. Furthermore, the study's implications provide teachers with information for conducting authentic assessment formulation in the implementation of learning, especially for students

A computational approach to George Boole's discovery of mathematical logic

This paper reports a computational model of Boole's discovery of Logic as a part of Mathematics. George Boole (1815–1864) found that the symbols of Logic behaved as algebraic symbols, and he then rebuilt the whole contemporary theory of Logic by the use of methods such as the solution of algebraic equations. Study of the different historical factors that influenced this achievement has served as background for our two main contributions: a computational representation of Boole's Logic before it was mathematized; and a production system, BOOLE2, that rediscovers Logic as a science that behaves exactly as a branch of Mathematics, and that thus validates to some extent the historical explanation. The system's discovery methods are found to be general enough to handle three other cases: two versions of a Geometry due to a contemporary of Boole, and a small subset of the Differential Calculus.Publicad

James Gregory (1753-1821) and Scottish scientific metaphysics, 1750-1800.

This thesis is a study of some aspects of James Gregory's philosophical and medical thought. Gregory's work is discussed in relation to its local intellectual context of later 18th-century Scottish scientific metaphysics. I show the importance of his writings for understanding how the relationships between epistemology, natural knowledge and religious belief were perceived by some members of the Scottish scientific metaphysics community. This is done empirically by considering Gregory's responses to several other writers. In particular, I show that Gregory's views on causality were put forward to counteract what he perceived as the dangerous influence of Hume's philosophy upon Scottish scientific metaphysicians. This subject is also approached thematically, through what is called the epistemological interiorisation of nature, or the search for the conditions of men's judgements about causes and effects. I identify two principgI strategies for epistemological interiorisation. These are termed 'voluntarist' and 'necessitarian'. I show that while Gregory was a severe critic of what he perceived as the necessitarianism of Hume's philosophy and some other -- forms of scientific metaphysics, Gregory also rejected forms of voluntarism found in the writings of John Stewart, Robert Whytt and Thomas Reid. Finally, Gregory's concern with the nature of cause and effect in physics is related to John Robison's reformation of mechanical philosophy

Numerical integration (Not including applications to differential equations and related topics.)

Thesis (M.A.)--Boston University, 1944. This item was digitized by the Internet Archive

Review of Andrew Gregory's “Anaximander, a re-assessment”, Bloomsbury 2016.

Review of the book “Anaximander, a re-assessment”, by Andrew Gregory (Bloomsbury 2016), submitted to the "Revue des Etudes Anciennes". I take this opportunity also t present some general considerations on the relation between science, history and philosophy

Review of Andrew Gregory's “Anaximander, a re-assessment”, Bloomsbury 2016.

Review of the book “Anaximander, a re-assessment”, by Andrew Gregory (Bloomsbury 2016), submitted to the "Revue des Etudes Anciennes". I take this opportunity also t present some general considerations on the relation between science, history and philosophy

The early development of the reflecting telescope in Britain

The first effective demonstration of a telescope using reflecting optics was made by Isaac Newton, and his invention was given wide- spread publicity by the Royal Society of London in 1672. Newtonts instrument was closely associated with the introduction of his new theory of the nature of white light and colour, and for Newton his telescopes practicability remained important to the acceptance of his optical theory. Newtonts telescope, influenced to some extent by the earlier work of James Gregory, encouraged the Royal Society to promote more ambitious trials, but instruments by Robert Hooke and Christopher Cock, and by Newton himself, achieved only limited success.Renewed interest in the reflector followed its re- emergence in Newtonts Opticks of 1704. John Hadleyes successful revival of Newtones instrument led in turn to the establishment in London of competitive commercial manufacture of reflectors in the early 18th century, and by 1710 the market was dominated by the instruments of James Short.Contemporary references to the reflecting telescopes of Newton and others have been analysed to allow the historical development of this work to be established more reliably, and to propose a relation- ship between the various instruments that may be ascribed to Newton. The emphasis has therefore been placed on the instrumentation itself, on practical detail, and on questions of provenance