scholarly journals THE INSTRUCTION TO OVERCOME THE INERT KNOWLEDGE ISSUE IN SOLVING MATHEMATICAL PROBLEM

2016 ◽  
Vol 1 (1) ◽  
pp. 16-25 ◽  
Author(s):  
Febrian Febrian

One characteristic of typical mathematical problem is that it requires bunch of relevant prior knowledge. This knowledge is built consecutively and is recalled whenever needed to promote student to solve the problem. The process undertaken by the solver to utilize existing relevant prior knowledge while solving the problem is called access. However, this access is possible subject to disturbance for some reasons. This literature study addresses some factors that can distract access: factor related to metaprocess and factor related to deficit structure. The variants included in both factors have been proved through research as the contributors of the accessibility of relevant prior knowledge. Knowledge that cannot be accessed is called inert knowledge, the main reason for why solver face the difficulty to find the answer to given mathematical problem. The explanation leads to the suggestion of how to tackle the inertia of particular knowledge. One of them are through the instruction setting. Realistic Mathematics Education as one of approaches in learning can be a possible alternative for the issue of inert knowledge. Keywords. Mathematical problem solving, prior knowledge, access, inert knowledge, Realistic Mathematics Education

Author(s):  
Delima Manurung ◽  
P. Siagian ◽  
Ani Minarni

This study aims to 1) Produce the valid, practical, and effective of Realistic Mathematics Education based learning tools; 2) Analyzing the improvement of students' mathematical problem solving ability that are learned using Realistic Mathematics Education-based learning tools; and 3) Analyzing the achievement of students' self-efficacy who are taught using Realistic Mathematics Education-based learning tools. The subjects in this study were seventh grade students of Junior High School 1 Lubuk Pakam. Data collection instruments in this development are assessment instruments to assess the products that have been developed. In addition, students were given questionnaires to get data about students' Self-Efficacy. This research is Research and Development with the design of learning development models by Dick and Carey. The steps include: 1) Conducting preliminary research; 2) Making software design; 3) Collecting the materials; 4) Developing the contextual based interactive multimedia; 5) Product reviews and trials; and 6) the effectiveness of product test. The results showed Realistic Mathematics Education-based learning tools on students' mathematical problem solving ability increased from trial I to trial II with an average increase per indicator of 0.35%; 3.99%; 16.22% and 8.32%. The developed learning tool has fulfilled the effective criteria, namely the mastery learning of students classically in the first trial has reached a good category and in the second trial has reached a very good category; the achievement of student learning goals during learning activities meet the ideal criteria specified; student responses is positive to the components of learning tools and learning activities developed; and the allocation of ideal time usage.


2020 ◽  
Vol 10 (1) ◽  
pp. 13-25
Author(s):  
I Made Ari Purwadi

This classroom action research was aimed at describing the improvement of students' mathematical problem solving (MPS) ability through Realistic Mathematics Education (RME). Nineteen students of VIII grade in SMP Laboratorium Undiksha in the first semester of the academic year of 2019/2020 were taken part as the research subject. This research data was collected by observation sheet and essay-test then it analyzed descriptively using simple statistics. The result of the research showed that the average score of students’ MPS ability on the first cycle equals 71,92, the second cycle equals 73,2, and the third cycle equals 75. As demonstrated, the implementation of RME could increase students’ MPS ability. Hence, the implementation of RME made students more motivated, more active on discussion and learning process, solved problems more easily, and more trained to communicate their understanding.


2018 ◽  
Vol 1 (4) ◽  
pp. 513
Author(s):  
Citra Megiana Pertiwi ◽  
Tiya Fitriani ◽  
Muhammad Afrilianto

The balance between cognitive and mathematical affective abilities is very important to be mastered by students in order to face future challenges. Background of the research is based on the students’ low ability of mathematical problem solving and mathematical learning activeness. The purpose of this research is finding the relation between students’ mathematical problem-solving ability and students’ mathematical learning activeness by using Realistic Mathematics Education approach using GeoGebra. The method in this research is the experimental research in the form of pre-test-post-test Control Group Design. In addition, the population for this research is the entire Public middle schools (SMP Negeri) in West Bandung regency. From all public middle schools in West Bandung, a school named SMP Negeri 3 Batujajar is randomly selected, and two classes of the 1st-gradestudents of the school are selected as the research sampling data. The first class becomes an experimental class which gains learning using GeoGebra assisted realistic mathematics educational approach and the other class gets common learning. The result of the research shows that there is a more positive relationship between mathematical problem-solving ability and mathematical learning activeness of learning by using Realistic Mathematics Education approach with GeoGebra rather than using common learning. In addition, the approach gives positive impacts, such as more interactive learning, understanding concepts, and more meaningful learning.


2021 ◽  
Vol 5 (1) ◽  
pp. 35
Author(s):  
Ilma Nurfadilah ◽  
Hepsi Nindiasari ◽  
Abdul Fatah

The 2013 curriculum requires students to master the cognitive domains from analysis to evaluation. The fact is not all students have the same cognitive development. Junior high school students, it turns out that students who think concretely, must see in real terms, so the learning approach used in this study has to lead students to be active in learning. One of active learning approach is the Realistic Mathematics Education (RME). This study is an experimental research. The goals of this study are: 1. Is the mathematical problem-solving abilities of students who used the RME approach better than students who used the scientific approac? 2. Determine whether there is an interaction between the learning approach and the mathematical initial ability (high, medium, low) on students' mathematical problem-solving abilities. The results showed: 1. The mathematical problem-solving abilities of students who used the RME approach was better than students who used the scientific approach; 2. There is no interaction between the learning approach and mathematical initial abilities (high, medium, low) on students' mathematical problem-solving abilities.


2020 ◽  
Vol 3 (2) ◽  
pp. 94
Author(s):  
Reri Seprina Anggraini ◽  
Ahmad Fauzan

Abstract. The improvement of mathematical problem-solving ability was the aim of this study through the application of the Realistic Mathematics Education approach compared to conventional learning according to the students' self-efficacy level. This study used a quasi-experimental study with a static group design conducted in eighth-grade students at SMP Negeri 1 Kerinci and SMP Negeri 5 Kerinci. Data collected through the questionnaire to determine students’ self-efficacy level and the test of students’ mathematical problem-solving abilities. The hypothesizes was tested using a t-test. The results showed that students’ mathematical problem-solving abilities who learned using the RME approach were higher than students’ abilities who learned using conventional learning. In addition, the mathematical problem-solving abilities of students who have low self-efficacy who learned using the RME approach were higher than those who learned using conventional learning.   Abstrak. Peningkatan kemampuan pemecahan masalah matematis menjadi tujuan penelitian ini melalui penerapan pendekatan Realistic Mathematics Education (RME) yang dibandingkan dengan kelas yang menerapkan pembelajaran konvensional menurut tingkat self-efficacy siswa. Penelitian ini menggunakan penelitian kuasi eksperimen dengan desain static group design yang dilaksanakan di kelas VIII pada SMP Negeri 1 Kerinci dan SMP Negeri 5 Kerinci. Data dikumpulkan melalui angket untuk menentukan tingkat self-efficacy dan tes kemampuan pemecahan masalah matematis. Hipotesis diuji dengan menggunakan uji t. Hasil penelitian menunjukkan kemampuan pemecahan masalah matematis siswa yang belajar menggunakan pendekatan RME lebih tinggi daripada siswa yang belajar menggunakan pembelajaran konvensional, dan kemampuan pemecahan masalah matematis siswa yang memiliki self-efficacy rendah yang belajar dengan menggunakan pendekatan RME lebih tinggi daripada yang belajar dengan menggunakan pembelajaran konvensional.


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