scholarly journals Building Learning Trajectory Mathematical Problem Solving Ability in Circle Tangent Topic by Applying Metacognition Approach

2019 ◽  
Vol 12 (2) ◽  
pp. 109
Author(s):  
Fikri Mukasyaf ◽  
Kms. M. Amin Fauzi ◽  
Mukhtar Mukhtar
Keyword(s):  
Problem Solving ◽  
Prior Knowledge ◽  
Junior High School ◽  
Mathematical Problem ◽  
Learning Trajectory ◽  
Mathematical Problem Solving ◽  
Long Term Memory ◽  
Problem Solving Skills ◽  
New Knowledge ◽  
Class Viii

Mathematical problem solving ability is one of the most important abilities students must have to process the information provided in solving problems. Before using mathematical problem solving skills, prior knowledge becomes the most crucial thing that makes students able to connect all available information so that they can construct new knowledge through the process of assimilation or accommodation.The purpose of this reseach is to:(1) Analyze prior knowledge what student has so the student can solve the problem of tangent circle given; (2) Know how learning trajectory in student’s mathematical problem solving ability by applying metacognition approach. This reaseacrch is a design research to improve the quality of learning. In this reseacrh researchers gave 3 test questions on students’ mathematical problem solving abilities. One trial was conducted in class VIII-B and trial II was conducted in class VIII-A, each consisting of 30 students junior high school. The result of students answer analysis shows the mast problematic topic that makes the studnts are difficult to solve the problem is about the tangent cicrcle that is the elements of the circle and the concept of circle circumtance there are three phased in learning path of students mathematical problem solving skill that are under standing the problem, making the problem solving plan by prrior knowledge and doing problem solving and evaluating it. From this explanation, it is better for teachers to ensure students have sufficient prior knowledge to make it easier to construct new knowledge, as well as make the learning process fun and meaningful so that students will remember knowledge in long-term memory.

scholarly journals IMPLEMENTATION OF MODEL-ELICITING ACTIVITIES TO IMPROVE THE ABILITY OF MATHEMATICAL PROBLEM SOLVING

2018 ◽  
Vol 1 (3) ◽  
pp. 312 ◽  
Author(s):  
Rubaitun Rubaitun
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Homogeneity Test ◽  
Problem Solving Skills ◽  
Normality Test ◽  
Model Eliciting Activities ◽  
Class Viii ◽  
And Control ◽  
Better Than

This study aims to determine whether the improvement of students' mathematical problem solving skills that get the learning of Model-Eliciting Activities is better than students who get regular learning. Method in this research is experiment and research design pretest and postest in experiment and control class. The population in this study were all students of MTs Kota Cimahi. School samples were taken at random, and obtained by MTs Negeri Kota Cimahi. Then the sample is selected two class VIII at random class. The experimental class uses Model-Eliciting Activities, while the control class uses ordinary learning. The hypothesis in this research is the improvement of student solving abilities of MTs students in Cimahi whose learning using Model-Eliciting Activities is better than using ordinary learning. Research data obtained through the instrument of posttest mathematical problem solving ability. The posttest data is processed by normality test, homogeneity test, and two average difference test using SPSS (Statistical Product and Service Solution) software version 16.0 for Windows. The results showed that the improvement of problem solving ability of MTs students in Cimahi whose learning using Model-Eliciting Activities was better than those using ordinary learning.

scholarly journals Analisis Kemampuan Pemecahan Masalah Siswa Berdasarkan Kemampuan Awal Matematika

2020 ◽  
Vol 9 (1) ◽  
pp. 119-130
Author(s):  
Mulia Suryani ◽  
Lucky Heriyanti Jufri ◽  
Tika Artia Putri
Keyword(s):  
Problem Solving ◽  
Model Problem ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Learning Model ◽  
Mathematical Ability ◽  
Mathematical Problem Solving ◽  
Problem Solving Skills ◽  
Class Viii ◽  
High Ability Students

AbstrakRendahnya kemampuan pemecahan masalah matematika siswa menyebabkan siswa kurang mampu menyelesaikan soal yang bersifat non rutin dan siswa masih kurang mengembangkan ide dan kemampuan yang dimilikinya. Penelitian ini bertujuan untuk mengetahui kemampuan pemecahan masalah matematika siswa melalui model Problem Based Learning berdasarkan Kemampuan Awal Matematika (KAM) siswa. Metode penelitian yang digunakan adalah kualitatif. Hasil penelitian ini menunjukkan bahwa kemampuan pemecahan masalah matematika siswa melalui model Problem Based Learning menjadi lebih baik. Sampel dalam penelitian ini adalah siswa kelas VIII-7 SMP Negeri 12 Padang yang terdiri dari 32 orang. Siswa yang awalnya berkemampuan rendah meningkat menjadi siswa berkemampuan sedang dengan peningkatan sebesar 75 %. Siswa yang awalnya tergolong berkemampuan sedang meningkat menjadi siswa berkemampuan tinggi sebesar 26 %. Siswa sudah mampu 1) memahami masalah, 2) menyusun rencana penyelesaian, 3) melaksanakan penyelesaian, dan 4) mengecek kembali jawaban. Analysis of Students' Problem Solving Abilities Based on Early Mathematical Ability AbstractThe lack of students' mathematical problem-solving skills causes students to be less able to solve problems that are non-routine and students are still lacking in developing their ideas and abilities. This study aims to determine students 'mathematical problem-solving abilities through the Problem Based Learning model based on students' Early Mathematical Ability (KAM). The research method used is qualitative. The results of this study indicate that students' mathematical problem-solving abilities through the Problem Based Learning model are better. The sample in this study were students of class VIII-7 Middle School 12 Padang consisting of 32 people. Students who were initially low-skilled increased to moderate-capable students with an increase of 75%. Students who were initially classified as capable were increasing to high-ability students by 26%. Students can 1) understand the problem, 2) draw up a settlement plan, 3) carry out the solution, and 4) re-check the answers.

scholarly journals APPLICATION OF A REALISTIC APPROACH TO IMPROVE THE ABILITY OF MATHEMATICAL PROBLEM SOLVING AND SELF REGULATED LEARNING OF JUNIOR HIGH SCHOOL STUDENTS

2018 ◽  
Vol 1 (2) ◽  
pp. 179
Author(s):  
Rina Krisnawati ◽  
Euis Eti Rohaeti ◽  
Rippi Maya
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Junior High School Students ◽  
Mathematical Problem Solving ◽  
Ability Level ◽  
School Students ◽  
Realistic Approach ◽  
Class Viii

This study is a quasi-experimental research, which aims to examine the achievement and improvement of problem-solving skills of mathematics and the independence of junior high school students learning through a realistic approach. The population in this study is all students of class VIII SMPN 4 Subang. Samples were taken by random class, obtained two classes of class VIII H as the experimental class and VIII.F as control class. The instrument in this study is a set of mathematical problem-solving test and a set of learning independence scales. The study found that the achievement and improvement of students' mathematical problem-solving ability and the independence of student learning whose learning using realistic learning are better than that of learning using ordinary learning in terms of the initial ability level of students. There is an interaction of mathematical problem-solving abilities between students whose learning uses a realistic approach with a student's initial ability level. Meanwhile, there is no interaction between realistic learning with the level of initial ability of students in generating student self-reliance. Besides, there is no association between mathematical problem solving ability and student learning independence, both in class that use realistic and classroom learning using ordinary learning. The picture of student's performance during realistic learning is more active, it shows the involvement of students both individually and in collaboration with the group, so that it can improve the problem solving ability of mathematics as well as student's learning independence. The description of the students' difficulties in solving the problem of mathematical problem solving ability lies in the indicator about number 5 which is about making the mathematical model because of the lowest percentage indicator.

scholarly journals Application of Mathematical Problem Solving Sheets in Polya's Learning Strategy in Social Arithmetic Material

2021 ◽  
Vol 13 (2) ◽  
pp. 707-717
Author(s):  
Hastri Rosiyanti ◽  
Dyah Ayu Ratnaningsih ◽  
Herwina Bahar ◽  
Is wan ◽  
Fai sal
Keyword(s):  
Problem Solving ◽  
Learning Strategies ◽  
Junior High School ◽  
Learning Strategy ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Sampling Technique ◽  
Mathematical Problem Solving ◽  
Problem Solving Skills ◽  
Better Than

This research is motivated by the students 'mathematical problem solving ability is still low, because mathematics learning in the classroom is not built to hone problem solving skills and the student worksheets used do not help students in honing students' mathematical problem solving skills, so the writer applies Polya's learning strategy with the help of problem solving sheet on social arithmetic material. This study aims to describe the steps of implementing Polya's learning strategy with the help of problem solving sheets in solving mathematical problems in social arithmetic material and to test mathematical problem solving skills by applying Polya's learning strategies with the help of problem solving sheets is it better than not implementing learning strategies Polya. This research was conducted using a quasi experimental method, with a population of all students of class VII Junior High School 3 Cisauk, Indonesia. The sample was selected using purposive sampling technique, namely students of class VII-6 and grade VII-7. Collecting data on students' mathematical problem-solving abilities using the final test (posttest). The results showed that Polya's learning strategy with the help of problem solving sheets on social arithmetic material was implemented properly and in accordance with Polya's steps. Based on the statistical test, it shows that the mathematical problem solving ability of students whose learning applies Polya's learning strategy with the help of problem-solving sheets is better than students whose learning does not apply Polya's learning strategy on class VII social arithmetic material at SMP Negeri 3 Cisauk, Indonesia.

scholarly journals Profil Kemampuan Pemecahan Masalah Matematika Siswa SMP pada Materi Peluang Ditinjau dari Gaya Belajar

2019 ◽  
Vol 2 (2) ◽  
pp. 50
Author(s):  
Niswatul Mufarihah ◽  
Rita Yuliastuti ◽  
Edy Nurfalah
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Learning Styles ◽  
Learning Style ◽  
Junior High School ◽  
Mathematical Problem ◽  
Visual Learning ◽  
Mathematical Problem Solving ◽  
School Students ◽  
Problem Solving Skills

Research on profiles of mathematical problem solving ability in junior high school students on the opportunities material in terms of learning styles aimed to obtain a description of the mathematical problem solving skills based learning styles of students, that learning styles were visual, auditory, and kinesthetic. This type of research was a qualitative descriptive. The subject of research were nine students, each type of learning style consisted of 3 students. The results showed that mathematical problem solving ability of students with the type of visual learning style was superior than the students with the type of auditory and kinesthetic.

scholarly journals Kaitan antara Gaya Belajar, Kemandirian Belajar, dan Kemampuan Pemecahan Masalah Siswa SMP dalam Pelajaran Matematika

2018 ◽  
Vol 5 (2) ◽  
pp. 75-84 ◽  
Author(s):  
Rostina Sundayana
Keyword(s):  
High School ◽  
Problem Solving ◽  
Learning Styles ◽  
Student Learning ◽  
Learning Style ◽  
Junior High School ◽  
Mathematical Problem ◽  
Independent Learning ◽  
Mathematical Problem Solving ◽  
Problem Solving Skills

ABSTRAKPada umumnya kemandirian belajar dan kemampuan pemecahan masalah matematika siswa SMP masih rendah. Guru sebagai pelaksana kegiatan belajar mengajar, menjadi faktor utama yang menjadi penyebab masalah tersebut terjadi. Salah satu upaya yang dapat dilakukan guru adalah menciptakan suasana belajar yang cocok dengan jenis gaya belajar siswa (auditorial, visual, ataupun kinestetik), sehingga diharapkan tujuan pembelajaran dapat dicapai secara efektif. Penelitian ini dilakukan di SMP Negeri 2 Tarogong Kidul kelas IX pada tahun ajaran 2015-2016 semester ganjil. Metode penelitian yang digunakan berupa penelitian eksplanatif komparatif-asosatif. Dari hasil penelitian terungkap bahwa: 1) Tidak terdapat perbedaan kemampuan pemecahan masalah matematik, antar siswa ditinjau dari jenis gaya belajarnya. 2) Tidak terdapat perbedaan tingkat kemandirian belajar matematika antar siswa ditinjau dari gaya belajarnya. 3) Kemandirian belajar siswa mempengaruhi tingkat kemampuan pemecahan masalah matematis siswa. Dari hasil penelitian tersebut menunjukkan bahwa setiap siswa, baik yang mempunyai gaya belajar auditorial, visual, ataupun kinestetik mempunyai tingkat kemandirian belajar dan kemampuan pemecahan masalah matematik yang sama. Selain itu, diketahui pula bahwa semakin tinggi tingkat kemandirian belajar siswa, maka semakin tinggi pula kemampuan pemecahan masalah matematis siswa.ABSTRACTIn general, independent learning and problem solving ability mathematics junior high school students is still low. Teachers practice teaching and learning activities, the main factor that causes the problem from happening. One of the efforts that teachers can do is to create a learning environment that matches the kind of student learning styles (auditory, visual, or kinesthetic), so hopefully learning objectives can be achieved effectively. This research was conducted in Tarogong South Junior High School 2 class IX in odd semester of school year 2015-2016. The method used in the form of comparative research explanation-associative. From the results of the study revealed that: 1) There is no difference in mathematical problem solving skills, among students in terms of the type of learning style. 2) There is no difference in the level of independence of learning mathematics among students in terms of learning styles. 3) Independence of student learning affects the level of students' mathematical problem solving ability. From the results of these studies indicate that each student, both of which have auditory learning style, visual, or kinesthetic have this level of independent learning and problem solving skills the same mathematical. In addition, it is also known that the higher the level of independence of student learning, the higher the students' mathematical problem solving ability.

scholarly journals Pencapaian Kemampuan Pemecahan Masalah Matematik Siswa SMP dengan Menggunakan Pendekatan Open Ended dan Saintifik

2020 ◽  
Vol 4 (1) ◽  
pp. 173
Author(s):  
Risma Amelia ◽  
Siti Chotimah
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Junior High School Students ◽  
Mathematical Problem Solving ◽  
School Students ◽  
Microsoft Excel ◽  
Scientific Approach ◽  
Class Viii

Tujuan dari penelitian ini adalah untuk menelaah pencapaian kemampuan pemecahan masalah matematik siswa SMP yang pembelajarannya menggunakan pendekatan open ended. Subjek  Penelitian  ini adalah seluruh siswa SMP kelas VIII yang ada di Kabupaten Bandung, sebagai sampelnya ialah salah satu sekolah yang ada di Kabupaten Bandung, kelas VIII A sebagai kelas eksperimen yang memperoleh perlakuan dengan pendekatan open ended dan kelas VIII B sebagai kelas kontrol yang mendapatkan perlakuan dengan pendekatan saintifik. Metode penelitian yang digunakan yaitu metode kuasi eksperimen dengan desain pretes and postes. Instrumen yang digunakan dalam penelitian ini berupa tes kemampuan pemecahan masalah matematik berjumlah 5 butir soal uraian. Data diperoleh dari hasil pretes dan postes kemudian diolah dengan menggunakan software microsoft excel. Hasil penelitian menunjukan bahwa pencapaian kemampuan pemecahan masalah matematik siswa yang pembelajarannya menggunakan pendekatan open ended lebih baik dibandingkan dengan yang pembelajarannya menggunakan pendekatan saintifik. Kata kunci: kemampuan pemecahan masalah, pendekatan open ended, pendekatan saintifik. ABSTRACT The aim of this study is to examine the achievement of mathematical problem-solving abilities of junior high school students whose learning uses the open-ended approach. The subjects of this study were all eighth-grade junior high school students in Bandung regency, the sample was one of the schools in Bandung regency, class VIII A as an experimental class that received treatment with an open-ended approach and class VIII B as a control class that received treatment with a scientific approach. The instrument used in this study was in the form of a test of mathematical problem-solving abilities totaling 5 items of description items. Data obtained from the results of the pretest and posttest are then processed using Microsoft Excel software. The results showed that the achievement of students' mathematical problem-solving abilities for learning using the open-ended approach was better than learning using the scientific approach. Keywords: problem solving abilities, open ended approach, scientific approach.

scholarly journals Kemampuan Pemecahan Masalah Matematis Peserta Didik yang Diajar Dengan Model Pembelajaran Missouri Mathematics Project (MMP) Disertai Strategi Think-Talk-Write (TTW) di SMP Negeri 2 Lengayang Pesisir Selatan

2019 ◽  
Vol 2 (1) ◽  
Author(s):  
Andi Susanto ◽  
Rara Anggun Syaveta
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Mathematics Students ◽  
Problem Solving Skills ◽  
Average Value ◽  
8Th Grade ◽  
Mathematical Problems ◽  
Class Viii ◽  
Skills Learning

This research is driven by the low level of problem solving ability of 8th grade students of SMPN 2 Lengayang. This study aims to determine the problem-solving ability of mathematics students taught by matrix Missouri mathematics project with a strategy of Think-Talk-Write better than students who use the scientific approach. This research is a quasy experiment research. The population of this research is all students of class VIII SMPN 2 Lengayang, and sampel is this research class VIII.A and class VIII.E. Based on the results of this study obtained the average value of mathematical problem-solving skills of learners who were taught by MMP method with TTW strategy is 76 and the usual learning is 68. After hypothesis testing using t-test, known ttable = 1,64 and tcount = 2,23 with 95% confidence level, this means that this indicates that the accepted hypothesis means the ability to solve mathematical problems of students with MMP with scientific approach.Keyword : Mathematical Problem Solving Skills, Learning Model Type Missouri mathematics project (MMP), and strategy of Think-Talk-Write (TTW)

scholarly journals Analysis of Mathematical Problem Solving Ability of Junior High School Students on Relation & Function Material with Polya's Strategy

2020 ◽  
Vol 8 (3) ◽  
Author(s):  
Erva Erviana ◽  
Yunika Lestaria Ningsih ◽  
Putri Fitriasari
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Junior High ◽  
Mathematical Problem ◽  
Junior High School Students ◽  
Mathematical Problem Solving ◽  
School Students ◽  
Problem Solving Skills

This research aims to describe the mathematical problem solving skills of junior high school students in relationship materials and functions with Polya strategy. The method used in research is a qualitative descriptive method. This research was conducted at SMP Negeri 35 Palembang with a class XI.6 research sample of 30 people. The research subjects were taken by 6 students, who were grouped into three categories, namely high, medium and low who were taken 2 people each from each category.. The data collection techniques in this study are tests, interviews and documentation. The results of the data obtained are then analyzed using data reduction analysis techniques, data presentation and verification. So the results of the study show that: 1) students who have high category problem solving skills are able to carry out all stages of problem solving, 2) students who have problem solving skills category are able to carry out the problem solving stages of the problem, but at the stage of carrying out planning and problem solving students make mistakes in operation and are not able to perform the stage of planning the answer correctly, 3) students who have low category problem solving skills are only able to carry out one stage that is understanding the problem and not being able to carry out the stage of planning the solving strategy planning and troubleshooting and re-examining the answers obtained correctly.

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