Mahyudi (Jurnal ALJABAR Prodi Pend. Matematika IAIN Raden Intan Lampung)

Abstract

Optimum stratification is the method of choosing the best boundaries that make strata internally homogeneous, given some sample allocation. In order to make the strata internally homogenous, the strata should be constructed in such a way that the strata variances for the characteristic under study be as small as possible. This could be achieved effectively by having the distribution of the main study variable known and create strata by cutting the range of the distribution at suitable points. The problem of finding Optimum Strata Boundaries (OSB) is considered as the problem of determining Optimum Strata Widths (OSW). The problem is formulated as a Mathematical Programming Problem (MPP), which minimizes the variance of the estimated population parameter under Neyman allocation subject to the restriction that sum of the widths of all the strata is equal to the total range of the distribution. The distributions of the study variable are considered as continuous with standard normal density functions. The formulated MPPs, which turn out to be multistage decision problems, can then be solved using dynamic programming technique proposed by Bühler and Deutler (1975). After the counting process using C++ program received the width of each stratum. From these results the optimal boundary point can be determined for each stratum. For the two strata to get the optimal point on the boundary x₁ = 0.002. For the formation of three strata obtained the optimal point on the boundary x₁ = -0.546 and x₂ = 0.552. For the formation of four strata obtained optimal boundary point is x₁ = -0.869, x₂ = 0.003 and x₃ = 0.878. In forming five strata obtained optimal boundary point x₁ = -1.096, x₂ = -0.331, x₃ = 0.339 and x₄ = 1.107. The establishment of a total of six strata obtained the optimal point on the boundary x₁ = -1.267, x₂ = -0.569, x₃ = 0.005, x₄ = 0.579 and x₅ = 1.281.

Keywords : stratifiedrandom sampling, optimum stratification, standard normal distribution,mathematical programming, dynamic programming 

Yulia Ekawati, Adi Asmara

ABSTRAK

Ability understanding mathematical concepts is one of the important goals in mathematics, giving the sense that the material taught to students not just as rote, but he point to students' understanding. This study aims at understanding the concept of descriptive mathematical ability of students based on categories with cooperative learning model jigsaw. This study aims at understanding the concept of descriptive capability of this type is deskrispsi qualitative research. Damati Subjects in this study were the students of SMA 6 Bengkulu city. With the number of students in class that there was a total of 33 students with 17 female students and 16 male students. This study was carried out in conjunction on 22 May 2014 until 31 May 2014. The results of this study are descriptive ability of understanding the concept of students using cooperative learning model jigsaw seen each category of student understanding of the concept that the ability of high, medium, and low. With the number of students who are in the high category 8 students, there are 19 categories of students, and in the lower categories are 6 students. Judging from the number of students in a category is the highest available. The students who are in the category of students in general are able to answer correctly, even though there are still errors in the answer.

Kata Kunci: concept comprehension abilities, learning model jigsaw.

Winda Ramadianti

Abstract

Lesson study is an education program from Japan which is developed in Indonesia to improve quality of education in Indonesia. It is held by a team which works collaborativly. Members of the team share their knowledge and experience to increase the quality of learning process. This study describe mathematics communication ability of student who is candidate of mathematics teacher. By lesson study in Mathematics Education Program in Muhammadiyah University of Bengkulu, the mathematics communication ability of student can improve.

Kata Kunci : Lesson Study, Komunikasi Matematis

Selvi Riwayati

ABSTRACT

Based on the previous observasion done by the researcher at FKIP of Muhammadiyah University Bengkulu, the researcher found that student’s ability in thinking creatively was still low. It was assumed that the lecturer-centered learning approach applied was one of the causes of this problem. One of the efforts tried to solve this was by applying open-ended approach. The aims of this research were to know and reveal the difference between creative thinking ability of the students who were taught by using open-ended approach and those who were taught by using conventional approach.This was a quasi experimental research which was conducted to the fourth semester students who took Linier Program subject in Academic Year 2011/2012. The sample was taken by using random sampling technique. The data of this research was collected through a test, observasion sheet and interview. The data gotten was analyzed. The result of the research showed that the creative thinking ability of the students who were taught by using open-ended approach was higher than those who were taught by using conventional approach.

Kata Kunci : Pendekatan Open-ended, Kemampuan berpikir kreatif

Widila, Masri

Abstract

This study has a back ground of concerns about the ability of students' mathematical connection is still low, it is shown from the results of the initial test(pre-test) students in class VIIB Junior High School 09 Mukomuko. This study aims to improve the ability of mathematical connection sthrough generative learning model. This research is Classroom Action Research (CAR). This research was conducted as two cycles with research subjects are 32 students which consist of 17 male students and 15 female students. The instruments used were: 1) teacher observation sheet, 2) student observation sheet, 3) test the ability of mathematical connections. Data were analyzed descriptively. This study showed increased activity after learning of teacher sand students performed at each cycle, and to the ability of mathematical connections also increased, it is shown from the results of the test(post-test) on the second cycle and each indicator has achieved success criteria. Thus, it can be concluded that the generative models can improve students' mathematical connections.

Kata Kunci: Generative, Mathematical connections ability.

JURNAL MATH_UMB.EDU Volume 3 Th 2

ISSN 2339-2754

Yulia Susanti, Sofyan

Abstract

This research is motivated by mathematical logical thinking ability of students is still low. This research aims to investigate the improvement of students' mathematical logical thinking ability, through the application of learning models RESIK. The research that has been conducted is the kind of Classroom Action Research (CAR), a class XI student research subject IPA 1, amounting to 32 students. Test data and observations were analyzed quantitatively reinforced with subsequent documentation of all data obtained were analyzed by descriptive quantitative. The results showed that the mathematical logical thinking ability of students has increased in the second cycle with both criteria. Based on the observation sheet analysis, activity increased in the second cycle students in both categories, and the activities of teachers in both categories in each cycle. The results showed that the application of RESIK learning model can improve the ability to think logically mathematical students in class XI Science 1. 

Kata Kunci: think logically mathematical, RESIK