Learning in the 2013 curriculum is suggested to produce work based on problem solving. One of the abilities that must be mastered by students in the learning process is the ability to solve mathematical problems (KPMM). In fact, students' KPMM is still relatively low. The reason is that students are less active in solving problem-based questions. In order for learning to run well, effective…
This research and development (R&D) aims to produce learning tools in the form of syllabus, lesson plans (RPP), and student worksheets (LKPD) based on discovery learning models on geometry flat-side materials to facilitate the mathematical understanding ability of 8th grade students of junior high school that has met the valid and practical requirements. The development model used is 4-D model …
This research is based on the importance of students mathematical problem solving abilities (KPMM) and the limited learning tools made by teachers to facilitate students' problem solving abilities. This study aims to produce learning tools based on Problem Based Learning to facilitate mathematical problem solving abilities in statistical material that are valid and practical for use by Gra…
Problem solving ability is one of the abilities that is directed and demanded to be possessed by students in every lesson including learning mathematics. Problem solving abilities in students are also important in other fields of study and in everyday life. This study aims to produce products in the form of learning tools using models PBL on the material for building flat sided rooms for class …
The background of this research is the students' low mathematical understanding ability (KPM) and the teacher's difficulties in preparing learning tools. One of the efforts to facilitate KPM is by providing opportunities for students to build ideas through the process of discovery. One learning model that is in line with this is the Discovery Learning (DL) model. The application of the DL model…
ABSTRACT This final project discusses Zillmer reserve of endowment joint life life insurance for two insurance participants who are x and y years old by using Lomax distribution. The parameters in the Lomax distribution were estimated using maximum likelihood estimation and then determined by a Newton-Raphson iteration method. The calculation of this Zillmer’s reserve is obtained by usin…
ABSTRACT This nal project discusses the generalization of the inverse on a real symbolic Turiyam matrix of size m × n with m ̸= n. The operation properties of the general inverse on the real symbolic Turiyam matrix used are the operating properties on the symbolic Turiyam matrix. In the last section, an example will be given showing that the result of an inverse generalization on a real…
ABSTRACT This final project discusses the Moore-Penrose inverse on a real symbolic Turiyam matrix of size m×n with m ̸= n and the singular symbolic Turiyam matrix. The nature of the Moore-Penrose inverse operation for the real symbolic Turiyam matrix used is the property of the operation on the symbolic Turiyam matrix. The demonstration example shows that the result of the Moore-Penrose …
This research is motivated by the importance of mathematical problem solving abilities for students. Problem solving is a basic ability that must be possessed by students, but in reality students' mathematical problem solving abilities are still relatively low. This can be seen from several previous studies, researchers' interviews with mathematics teachers in several schools and test results w…
This research is motivated by advances in information and digital technology, which provide opportunities for teachers and students to take advantage of the sophistication of digital technology in the learning process, but based on the facts, most teachers experience difficulties in compiling online devices. Apart from that, from the initial study, the test of mathematical problem solving abili…
The background of this research is due to the low Algebraic Thinking Ability (KBA) of students. This study aims to produce valid and practical mathematics learning tools to facilitate students' KBA on the material of the Two-Variable Linear Equation System in class VIII SMP / MTs Pekanbaru. This learning device development research uses ADDIE model development research (Analysis, Design, Devel…
This research was motivated by the low mathematical problem solving ability of students, especially in rows and series material. Efforts that can be made to facilitate mathematical problem solving skills are to design learning activities to make students accustomed to solving contextual problems given by applying problem-solving steps. One learning model that can help students in building mathe…
This thesis discusses the development of the outer and inner Cross’ Theorem on a crossed quadrilateral, by which it is expanded once and twice by constructing a square towards the outer and towards the inner on each side of the crossed quadrilateral theorem. The proof process is done using the sine and cosine rules. The result obtained for the outer and inner are the absolute differences …
ABSTRACT This nal project discusses an iterative method that uses geometric construction to solve a nonlinear equation. The method is obtained by consructing the curve of a third degree monic polynomial function that approximates the curve of the nonlinear equation. The convergence analysis shows that the iterative method has third-order of convergence. Some numerical examples are given t…
ABSTRACT This final project discusses the 2×2 singular matrix with zero second row entries or a matrix with all nonzero entries are formed as the product of two idempotent matrices or two nilpotent matrices. To solve this can used the division algorithm and algebraic methods to obtain a special matrix that can be formed into the product of two idempotent matrices or two nilpotent matrices…
Mathematical Reasoning Ability (MRA) is an important ability for studentsin mathematical learning. However, students' MRA is still in the low category due to the lack of test instruments that teachers can use as a reference for training students' MRA. This study aims to develop a MRA test instrument on sequences and series material that are valid, reliable, and has a good level of difficulty an…
Improving the learning process and increasing students' mathematical problem solving abilities (KPMM) by applying the problem based learning (PBL) model are the main objectives of this research. The research applied is PTK with two cycles which are carried out in the even semester of the 2022/2023 school year. Class VII-E students of SMP Negeri 23 Pekanbaru were the subject of this study with a…
Mathematical literacy skills are very essential for students. Not only understanding math, but students must also be able to interpret math in real life. However, in reality, students' mathematical literacy skills are still relatively low. Many learners have not been able to find solutions to contextual problems and there are limited Learner Worksheets (LKPD) used by learners in facilitatin…
This development research aims to produce learning tools including syllabus, learning implementation plans (RPP) and student worksheets (LKPD) that are valid and practical based on the Problem Based Learning (PBL) model to facilitate the mathematical problem solving abilities (KPMM) of class VII students SMP/MTs on comparative material. This development research uses a 4-D model (Define, De…
The cause of the low KPMM students is that students only memorize the formulas that the teacher gives without understanding the systematics concepts in the implementation of learning. Another thing, because students have not been able to do questions that are different from the example questions the teacher gives. KPMM can be developed throght the implementation of learning, namely by giving st…