ABSTRACT This final project discusses Zillmer reserve of endowment insurance for insurance participant who are x years old using the interest rate model of Vasicek and Weibull distribution, where parameters in the model are estimated using maximum likelihood method. Solution of this problem is obtained by determining the single premium, annual premium, and life annuity. Then the reserve f…
ABSTRACT This final project presents a new approach to evaluate the integer positive po- wers from tridiagonal matrices by using Chebyshev polynomials. In addition, this This final project also aims to show how the Chebyshev polynomial can be used to determine the formulation of the transformation matrix and the inverse of the transformation matrix
ABSTRACT This final project proposes a new iteration method to be formed by using Taylor expansion and derivative approximation for solving nonlinear equations with convergence order is four and efficiency index is 1.4142. This method succeeds in finding the expected nearly root with a known initial value, while the comparison method fails to find the nearly root even with the same converg…
This research was motivated by the loss of learning (loss of learning) during the Covid 19 pandemic. The loss of learning was due to the lack of optimal learning processes carried out in class so that students' skills decreased, including reasoning skills and mathematical proof. The need for teacher creativity to plan learning so that the quality of education increases, especially in the transf…
This research is motivated by the low critical thinking skills of students and the minimal availability of merdeka curriculum-based mathematics assessment instruments. This study aims to produce a merdeka curriculum-based assessment instrument to measure the critical thinking skills of phase E students on sequences and series material that is valid, reliable, has a level of difficulty and good …
According to the Regulation of the Minister of National Education of the Republic of Indonesia Number 21 of 2016, one of the objectives of learning mathematics in secondary schools is to equip students with mathematical problem solving abilities (KPMM). However, in reality the participants' KPMM is still low, which is supported by several previous studies which show that the results of the stud…
The Development of Van Aubel’s Theorem Specifically in The Field of Nonconvex Quadrilateral and Crossed Quadrilateral, supervised by Mashadi and Sri Gemawati. This thesis discusses the development of Van Aubel’s theorem specifically in the field of nonconvex quadrilateral and crossed quadrilateral, where from all four sides semi-circle are built leading outward and inward respectively …
The low ability of students mathematical understanding in the material for Rows and Series is due to the lack of availability of teaching materials that suit the needs of students. This study aims to produce E-LKPD assisted by Liveworksheets with a Problem Based Learning model in class X SMK/MAK Sequences and Series material that are valid and practical. This research is development resear…
Syllabus, RPP and LKPD which were prepared using the Problem Based Learning model which has been considered valid and practical in the material of the Two Variable Linear Equation System are learning device products produced in this study. This research is included in development research, using the 4-D model, namely define; design; develop; and disseminate. The research was conducted by involv…
This study aims to produce mathematics learning media based on a scientific approach assisted by Articulate Storyline material on lines and angles to facilitate KPMM for SMP/MTs students who meet valid and practical requirements. The development model used is the 4D model which includes definition, design, development and deployment. The subjects in this study were class VIII students of SMP in…
This i research aims i to develop a product i in the i form of mathematics teaching i materials using the context of Riau Malay culture on congruence material for class IX SMP/MTs and to determine i the quality of teaching imaterials i developed by validity and i practicality tests. This i research i is a i development i research i (R&D) using i the ADDIE i model i which consists i of five…
Aware of the importance of the role and function of mathematics, the quality of mathematics learning needs serious attention in order to be able to achieve the goals set. Mathematical problem-solving skills are important abilities that must be possessed by students in order to solve a problem. Currently, the Mathematical Problem Solving Ability (KPMM) of students in Indonesia is relatively…
The purpose of this research is to create valid and practical learning media for grade VII SMP/MTs students using Macromedia Flash to facilitate student learning motivation. The development model used is the Borg and Gall model which consists of potential and problem phases, data collection, product design, design validation, design revision, product testing, product revision and usage test…
This study aims to produce an electronic module for derivatives of algebraic functions to facilitate mathematical comprehension ability of class XI senior high school students who have met the requirements for validity and practicality. The development model used is the ADDIE model which includes analysis, design, development, implementation, evaluation. The sample in this assessment is class X…
In this thesis based on the relationship between BF -algebra, BN -algebra and Coxeter algebra with B-algebra, a t-derivation concept is defined in the form of (l, r)-t-derivation and (r, l)-t-derivation in BF -algebra based on the definition of the concept (l, r)-t-derivation and (r, l)-t-derivation in B-algebra, then investigated the properties obtained in BF -algebra, BF1-algebra, BN - a…
Penelitian pengembangan perangkat pembelajaran ini dilatarbelakangi oleh pentingnya kemampuan pemecahan masalah matematis peserta didik dan terbatasnya perangkat pembelajaran yang memfasilitasi kemampuan pemecahan masalah matematis pada materi aritmatika sosial sebagai sarana penunjang pembelajaran pada kurikulum 2013. Kemampuan guru dalam persiapan pembelajaran sangat berpengaruh terhadap pres…
The lack of availability of interactive learning media capable of facilitating students' mathematical understanding skills at school is a major influence on students' understanding of mathematics. This research is a development research (R&D) which produces a product in the form of Filmora-based learning media that meets valid and practical requirements to facilitate the understanding abil…
Students must have KBK in 21st century learning in learning mathematics. KBK is also the goal of learning mathematics in the 2013 Curriculum. The low KBK can be illustrated in the SPLDV material so that innovation is needed to develop students' KBK abilities. PBL is a learning model that can facilitate KBK students, especially junior high school students. KBK can be facilitated through the …
The mathematical problem solving ability is an important for students in solving math problems. This research aims to create mathematical learning tools (Silabus, RPP, and LAS) valid and practical for XI SMA/MA sequences and series that can facilitate students' mathematical problem-solving skills. The development model used is the ADDIE development model (Analysis, Design, Development, Implemen…
The purpose of this research is to produce learning media assisted by Smart Apps Creator 3 on transformation materials for the ninth grade of Junior High School that are valid and practical. This research used Research and Development (R&D) model with ADDIE procedure: analysis, design, development, implementation and evaluation. The research instruments used in this research were learning media…