Pengembangan Tes Untuk Mengukur Kemampuan Penalaran Mahasiswa Mata Kuliah Geometri

The purpose of the research is to develop a test which intentionally used to measure students’ critical ability on the valid Geometry Course. The Research and Development method was employed through the procedure of 4-D model which basically consists of four stages namely; define, design, development, and dissemination. The test is given to students coming from Department of Mathematic Education UNIPA. The finding reveals that there have been forms of final products that are (1) a valid lattice in assessing students’ critical ability on the Geometry Course notably on the subject area of line, angle, triangle deductive reasoning, congruent triangle, Parallel line, distance and number of angle, Parallelograms, Trapezoids, Medians and Midpoints. (2) test to measure students’ critical ability the Geometry Course specifically on area of line, angle, triangle deductive reasoning, congruent triangle, Parallel line, distance and number of angle, Parallelograms, Trapezoids, Medians and Midpoints.

Direct Low Order Rational Approximations for Fractional Order Systems in Narrow Frequency Band: A Fix-Pole Method

Rational approximations for fractional order systems are discussed in this paper. A fix-pole method is derived whereby a fractional order system is efficiently approximated by a low order integer system via simple algebraic algorithms. An adjacent congruent triangle (ACT) criterion is presented to analyze our method and compare it with existing results in a unified framework. The proposed fix-pole method has a trade-off that sacrifices partly the fitting error in exchange for simple approximations of complicated fractional order systems. The quality of the fix-pole approximations can be improved to be acceptable in practical or numerical implementations by narrowing the fitting frequency band. Finally, numerical examples illustrate the effectiveness of our methods.

Study 1-4: The Effect of Triangle-Pair Configuration Variation on Achievement of Selected Classes of Instructional Objectives in Plane Geometry

This investigation was designed in conjunction with the study conducted by Paquette (1971) to test the effects of varying referent triangle-pair configurations (where the instruction was mediated by an IBM 1500 Instructional System) on the achievement of selected instructional objectives related to the study of congruent triangles. The configuration classification (CC) matrix, as described in Figure 1 of the article by Heimer and Lottes, was used to generate and classify all congruent triangle-pair referents employed in this study. The primary purpose of the study was concerned with selected effects of multiconfiguration instructional treatments, as defined below, on the achievement of instructional objectives over collections of configuration classes for which instruction was not provided.