EFEKTIVITAS MODEL PEMBELAJARAN PROJECT BASED LEARNING TERHADAP KEMAMPUAN BERPIKIR KRITIS MATERI BANGUN RUANG KELAS VIII

The purpose of this study is to determine the application of the Project Based Learning model effectively with the completeness criteria achieved, there is an effect of confidence and activity, and there is an average difference. This research is a type of quantitative research with experimental methods. The independent variable in this study is active and confident, while the dependent variable of research is students' critical thinking skills. The sampling technique used purposive sampling, with samples of classes VIII A, VIII B and VIII C. Data collection methods in this study were interviews, observations, questionnaires, evaluation tests.The results showed that students' critical thinking ability using the Project Based Learning model achieved completeness both individually and classical. The average student's critical thinking abilityreaches 85.26. The percentage of completeness is 94% or as many as 29 students from 31 students have reached the completeness of the ability to think critically. The influence of confidence and activity on the ability to think critically by using Project Based Learning model of 97.7%. There are differences in the average ability to think critically between classes that apply the Project Based Learning model to the class that applies conventional learning models. The average value of the critical thinking ability of the experimental class is 85.26 and the control class is 74.19. It is expected that the teacher can make the Project Based Learning model as an alternative to learning mathematics that can improve self-confidence, activity, and critical thinking of students in other material Keywords: Confidence, Activity, Critical Thinking, Project Based Learnin

Building a Tourism Village Ecosystem in Rawabogo Tourism Village Development

Tourism plays a crucial role in community development and economic growth, contributing to income distribution, employment opportunities, and investment across various sectors. One form of tourism is village tourism, which serves as an alternative tourism option. However, Rawabogo Village, as a tourist village, has been unable to generate significant results and benefits for the environment and society. It requires a systematic effort to establish a tourism village ecosystem that can drive its development. The objective of this study is to construct a tourism village ecosystem for the development of Rawabogo Tourism Village. This involves examining the components of the tourism village ecosystem to determine the direction for its development, ensuring both economic and non-economic outcomes and benefits. The findings reveal that the current tourism village ecosystem in Rawabogo Village does not support its development adequately due to low community participation and a lack of tourism infrastructure. To address this, the first step is to implement community-based tourism development. This approach aims to encourage active community participation and engagement in managing and advancing Rawabogo Tourism Village. Additionally, future planning should prioritize the provision of necessary infrastructure and tourism facilities to support its growth and success. Keywords: tourism village ecosystem, tourism Village, Rawabogo Tourism Villag

Wave scattering by small bodies and creating materials with a desired refraction coefficient

Asymptotic solution to many-body wave scattering problem is given in the case of many small scatterers. The small scatterers can be particles whose physical properties are described by the boundary impedances, or they can be small inhomogeneities, whose physical properties are described by their refraction coefficients. Equations for the effective field in the limiting medium are derived. The limit is considered as the size $a$ of the particles or inhomogeneities tends to zero while their number $M(a)$ tends to infinity. These results are applied to the problem of creating materials with a desired refraction coefficient. For example, the refraction coefficient may have wave-focusing property, or it may have negative refraction, i.e., the group velocity may be directed opposite to the phase velocity. This paper is a review of the author's results presented in MR2442305 (2009g:78016), MR2354140 (2008g:82123), MR2317263 (2008a:35040), MR2362884 (2008j:78010), and contains new results.Comment: In this paper the author's invited plenary talk at the 7-th PACOM (PanAfrican Congress of Mathematicians), is presente

Potential theory results for a class of PDOs admitting a global fundamental solution

We outline several results of Potential Theory for a class of linear par-tial differential operators L of the second order in divergence form. Under essentially the sole assumption of hypoellipticity, we present a non-invariant homogeneous Harnack inequality for L; under different geometrical assumptions on L (mainly, under global doubling/Poincar\ue9 assumptions), it is described how to obtainan invariant, non-homogeneous Harnack inequality. When L is equipped with a global fundamental solution \u393, further Potential Theory results are available (such as the Strong Maximum Principle). We present some assumptions on L ensuring that such a \u393 exists