A Modeling Perspective on the Teaching and Learning of Mathematical Problem Solving

2008 ◽  
Vol 10 (3) ◽  
pp. 293-304 ◽  
Author(s):  
Nicholas G. Mousoulides ◽  
Constantinos Christou ◽  
Bharath Sriraman
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving

scholarly journals PERBEDAAN PENINGKATAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS DENGAN PENDEKATAN CONTEXTUAL TEACHING AND LEARNING DI KELAS X SMA NEGERI 2 PEMATANGSIANTAR

2020 ◽  
Vol 1 (2) ◽  
pp. 85-96
Author(s):  
Winmery Lasma Habeahan
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Equation System ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Contextual Approach ◽  
Control Group Design ◽  
Contextual Teaching ◽  
The Difference

The purpose of this study was to determine the differences in the improvement of students' mathematical problem-solving abilities with the Contextual Teaching and Learning approach in the material of the two-variable linear equation system in class X SMA Negeri 2 Pematangsiantar. This study used an experimental method with the aim of being in accordance with the previous statement to determine the difference in students' mathematical problem-solving abilities with a contextual approach and an expository approach, with a randomized pretest-posttest control group design. The average increase in problem-solving abilities in the control class was 0.1688 while the increase in problem-solving abilities in the experimental class was 0.0085. By using the t-test (SPSS), with a value of Fcount = 10.907 and a significant level of 0.05, a significant probability is obtained 0.002 <0.05, it can be concluded that there is a difference in normalized gain or an increase in problem-solving ability with conventional and contextual approaches. Based on the average gain of the control and experimental classes, the increase in the control class using the conventional approach is higher than the experimental class with the contextual approach. The difference in increasing problem-solving abilities in conventional classrooms is possible due to differences in students' entry-level abilities, which can be seen in the average pretest of each class.

Coordinate Geometry: A Powerful Tool for Solving Problems

1990 ◽  
Vol 83 (4) ◽  
pp. 264-268
Author(s):  
Stanley F. Taback
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
School Mathematics ◽  
Mathematical Problem Solving ◽  
Evaluation Standards ◽  
Mathematical Ideas ◽  
Mathematics Standards ◽  
Problem Situations ◽  
Coordinate Geometry

In calling for reform in the teaching and learning of mathematics, the Curriculum and Evaluation Standards for School Mathematics (Standards) developed by NCTM (1989) envisions mathematics study in which students reason and communicate about mathematical ideas that emerge from problem situations. A fundamental premise of the Standards, in fact, is the belief that “mathematical problem solving … is nearly synonymous with doing mathematics” (p. 137). And the ability to solve problems, we are told, is facilitated when students have opportunities to explore “connections” among different branches of mathematics.

scholarly journals Analisis Kemampuan Pemecahan Masalah Matematis pada Materi Kubus dan Balok di SMP

2021 ◽  
Vol 10 (1) ◽  
pp. 141-152
Author(s):  
Hermawati Hermawati ◽  
Jumroh Jumroh ◽  
Eka Fitri Puspa Sari
Keyword(s):  
Data Analysis ◽  
Problem Solving ◽  
Data Collection ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Learning Activities ◽  
Mathematical Problem Solving ◽  
Analysis Technique ◽  
Data Collection Technique ◽  
Academic Year

AbstrakKemampuan pemecahan masalah tidak lepas dari kegiatan belajar mengajar pada umumnya karena keberhasilan seseorang terhadap sesuatu yang dihadapi tidak lepas dari matematika. Penelitian ini bertujuan untuk mengetahui kemampuan pemecahan masalah matematis peserta didik kelas IX di SMP Negeri 15 Palembang. Sampel pada penelitian ini di ambil secara acak yaitu peserta didik kelas IX.1 berjumlah 31 peserta didik yang dilakukan di SMP Negeri 15 Palembang tahun Pelajaran 2019/2020. Teknik pengumpulan data menggunakan soal tes berbentuk uraian materi bangun ruang (kubus dan balok). Teknik analisis data dalam penelitian ini adalah deskriptif kuantitatif. Dari hasil analisis data dan pembahasan maka dapat disimpulkan bahwa kemampuan pemecahan masalah matematis peserta didik dikategorikan rendah.  Analysis of Mathematical Problem-Solving Ability on Cubes and Blocks in Junior High SchoolAbstractThe ability to solve problems cannot be separated from teaching and learning activities in general because one's success in something that is faced cannot be separated from mathematics. This study aims to determine the mathematical Problem-solving abilities of grade IX students at SMP Negeri 15 Palembang. The sample in this study was taken randomly. namely students of class IX.1, totaling 31 students which were conducted at SMP Negeri 15 Palembang for the 2019/2020 academic year. The data collection technique used test questions in the form of a description of the material (cubes and cuboids). The data analysis technique in this research is descriptive quantitative. From the results of data analysis and discussion, it can be concluded that the students' mathematical Problem-solving ability is categorized as low.

scholarly journals The Relationship between Problem-Solving Ability and Students' Characters Based on Islamic Perspectives

2019 ◽  
Vol 4 (2) ◽  
pp. 203-214
Author(s):  
Syamsul Huda ◽  
Muhammad Syahrul ◽  
Mu'min Firmansyah ◽  
Rahmi Ramadhani ◽  
Andika Eko Prasetiyo
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Sampling Technique ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Control Group Design ◽  
Quasi Experimental ◽  
Gender Factor

The purpose of this study was to analyze the mathematical problem-solving ability and characters of students who were taught using problem-based learning and ordinary learning based on Islamic perspectives. The instrument used in this study was a test of problem-solving ability and a students’ character questionnaire. This research was a quasi-experimental research with pre-test and post-test control group design. The sample of this research was 84 students from Private Islamic School in Medan, North Sumatera, by using a purposive sampling technique. The data in this research was declared homogenous and normal after being tested using the Levene’s Test and Kolmogorov-Smirnov Test. The hypothesis analyzes used was the Two Way-ANOVA test assisted by SPSS 25. The result showed that there was an improvement in mathematical problem-solving ability and students' characters through problem-based learning based on Islamic perspectives. However, there was no interaction between students' gender and problem-solving ability and character improvement based on Islamic perspectives. The gender factor in problem-based learning was not related to students’ cognitive and affective aspects. Each student with any gender had difference characters, especially related to Islamic perspectives. This research-proven that problem-based learning model had an important role in teaching and learning, and it can be used to improve students' mathematical and character problem-solving ability.

scholarly journals THE ING NGARSA SUNG TULADHA COOPERATIVE LEARNING MODEL AND STUDENTS' PROBLEM SOLVING ABILITIES

2020 ◽  
Vol 3 (2) ◽  
pp. 118
Author(s):  
Kartini Hutagaol ◽  
Louise Saija ◽  
Maru M. J. Panjaitan
Keyword(s):  
Problem Solving ◽  
Cooperative Learning ◽  
Teaching And Learning ◽  
Industrial Revolution ◽  
Mathematical Problem ◽  
Learning Model ◽  
Mathematical Problem Solving ◽  
Class Information ◽  
Character Building ◽  
The Internet Of Things

<p>This paper describes one way that teachers as educators can face the challenges of the industrial revolution 4.0, namely by instilling and preparing creative and character-based leaders. Education as character building can be implemented using Ki Hajar Dewantara's leadership concepts, namely Ing Ngarsa Sung Tuladha, Ing Madya Mangun Karsa, and Tut Wuri Handayani. The concept of leadership was first adopted as a cooperative learning model which emphasized exemplariness in group learning. The group leader is called tuladha and is the facilitator of the group. Tuladha utilizes the Internet of Things. Before the teaching and learning process in class, information, concepts or ideas, and examples are posted by the teacher to the tuladha. This study is an experimental study with the sample used meeting the prerequisites of the statistical test used. The results showed that students' mathematical problem solving abilities increased significantly using the Ing Ngarsa Sung Tuladha cooperative learning model over the usual method. The category of improving students' mathematical problem solving abilities that obtain the Ing Ngarsa Sung Tuladha cooperative learning model is in the high category.</p>

scholarly journals THE ROLE OF CONTEXTUAL TEACHING AND LEARNING ON STUDENT’S PROBLEM SOLVING ABILITY AND DISPOSITION

2018 ◽  
Vol 1 (1) ◽  
pp. 31
Author(s):  
Rippi Maya ◽  
Siti Ruqoyyah
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Control Group Design ◽  
Low Level ◽  
Tenth Grade ◽  
Contextual Teaching

This study is a pre test-post test experimental control group design having a goal to analyze  the role of contextual teaching and learning (CTL)  on students’ mathematical problem solving ability  (MPSA) and disposition (MD). The study involved 40  tenth grade students of a Madrasah Alyah (MA), a mathematical problem solving test, a mathematical  disposition scale. The study found that on MPSA, its gain, and on MD, students getting treatment with CTL attained better grades than grades of students taught by conventional teaching. Even if, both students’ grades on MPSA were still at very low level, on MD,  first group students’ grade on MD  was at medium level and the second group students’ grade was at low level.  Many students still realized difficulty on compiling MPSA. The other findings, there was no association between MPSA and MD, but students performed good perception toward CTL approach.

scholarly journals EFFORTS TO IMPROVE STUDENTS’ MATHEMATICAL PROBLEM SOLVING ABILITY THROUGH CONTEXTUAL TEACHING AND LEARNING AT SMP NEGERI 1 BINJAI

2017 ◽  
Vol 3 (3) ◽  
Author(s):  
Desy Agustina Situngkir ◽  
E Elvis Napitupulu
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Eighth Grade ◽  
Average Score ◽  
Mathematical Problem Solving ◽  
Class Viii ◽  
The Subject ◽  
Contextual Teaching ◽  
Academic Year

 ABSTRACT The purpose of this research was to know whether contextual teaching and learning (CTL) approach could improve students’ mathematical problem solving ability (SMPSA) in eighth grade of SMP Negeri 1 Binjai. The type of this research was Classroom Action Research. The subject of this research was students in class VIII-9 which consisted of 20 students. The object was SMPSA on cube and cuboid topic in eighth grade of SMP Negeri 1 Binjai Academic Year 2015/2016.This study consisted of two cycles.  Each cycle had two meetings. SMPSA was tested in the end of cycle. Instrument used to collect data in this research were test and observation sheet. After giving a treatment to students, in the first cycle, the average score of their mathematical problem solving ability was 2.30. Ten of  20 students (50%) obtained score ³ 2.67. The average score of teacher’s activities in observation sheet was 2.66, which classified as good category. The average score of students’ activities in observation sheet was 2.55, which classified as good category. In the second cycle, the average score of mathematical problem solving ability was increased became 3.05 with 18 students (90%) obtained score ³ 2.67. The average score of teacher’s activities in observation sheet was 3.44, which classified as very good category. The average score of students’ activities in observation sheet was 3.22, which classified as very good category. From the result of research, it can be concluded that the implementation of contextual teaching and learning (CTL) approach can improve students’ problem solving ability. The suggestion that given for teachers is to be able to implement contextual teaching and learning (CTL) approach as an alternative in learning process that can improve problem solving ability.Keywords : Contextual Learning, Mathematical Problem solving Ability

scholarly journals PENERAPAN MEDIA PEMBELAJARAN MATH MOBILE LEARNING UNTUK MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH SISWA KELAS IV

2020 ◽  
Vol 1 (2) ◽  
pp. 44-52
Author(s):  
Nurul Nikmah ◽  
Ratri Rahayu ◽  
Nur Fajrie
Keyword(s):  
Problem Solving ◽  
Student Learning ◽  
Mobile Learning ◽  
Research Method ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Learning Activities ◽  
Mathematical Problem Solving ◽  
Teaching Skills ◽  
Problem Solving Skills

This study aims are to determine the improvement of mathematical problem solving skills with the application of math mobile learning media. The study was conducted in fourth grade of SD 1 PasuruhanKidul Kudus in the academic year 2018/2019 with the number of students 19.The research method used was the classroom action research method which lasted for two cycles, namely in cycle I and cycle II. Each cycle consists of planning, implementing, observing and reflecting. The independent variable in this study is math mobile learning media, while the dependent variable is the ability to solve math problems, student learning activities, and teacher teaching skills. Data collection techniques used in this study include observation, interviews, documentation and tests. This data analysis technique uses quantitative and qualitative data analysis.The results of this study indicate that the increase is, (1) The average mathematical problem solving ability of students with the percentage of classical completeness 68.42% (enough) in the first cycle to 94.73% (good) in the second cycle, (2) Activities student learning has increased with a value of 64.48 less (need guidance) in the first cycle and 76.72 (good) in the second cycle. (3) The percentage of teaching skills of teachers has increased by a percentage of 71% (enough) in the first cycle and 80.5% (good) in the second cycle. Based on the results of research carried out in class IV SD 1 PasuruhanKidul Kudus, it can be concluded that through math mobile learning media can improve the ability to solve mathematical problems in the surrounding material and flat area, student learning activities and teaching skills of teachers in teaching and learning.

scholarly journals Efektifitas Pembelajaran Dengan Pendekatan Contextual Teaching And Learning (CTL) Untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis

2019 ◽  
Vol 5 (1) ◽  
pp. 30-36
Author(s):  
Nerru Pranuta Murnaka ◽  
Betta Anggraini ◽  
Arumella Surgandini
Keyword(s):  
Problem Solving ◽  
Random Sampling ◽  
Teaching And Learning ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Average Problem ◽  
Contextual Teaching ◽  
Cluster Random Sampling ◽  
Quasi Experiment

This research is motivated by students' mathematical problem-solving abilities. One way to improve students' mathematical problem-solving abilities is with the CTL learning approach. The purpose of this research is: 1) to know whether the average ability of mathematical problem solving of students who get learning with CTL approach is higher than the average problem-solving abilities of mathematical students who obtain conventional learning; 2) to find out whether the average mathematical problem-solving ability of the students who acquired the learning with Contextual Teaching and Learning (CTL) approach is higher than the minimum criterion value (KKM). This research type is quasi-experiment. The research design used is Nonequivalent Control Group Design. This research was conducted at SMP Negeri 1 Simpang Renggiang, East Belitung Regency in the academic year 2015/2016. Sampling was done by cluster random sampling. The sample in this research is class VII. 2 as the experimental class and class VII.3 as the control class. The research instrument used is a valid test instrument in the form of a matter of pretest and posttest in the form of a description. Data were analyzed using a non-parametric statistic test. The results of the research have shown that the average problem-solving ability of students who acquire mathematics learning with CTL approach is better than students who follow the conventional mathematics learning, the average problem-solving ability of mathematical students who gain learning with CTL approach less than or equal with KKM. Keywords: Mathematical problem solving, CTL approach, quasi-experiment, cluster random sampling

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