Solving Mathematical Problems in the Context of Some Obstacles between Teachers and Students

2019 ◽  
pp. 281-286
Author(s):  
Sylwia Kania
Keyword(s):  
Great Risk ◽  
Teachers And Students ◽  
Mathematical Problems

Great mathematical discoveries are mostly based on huge knowledge of their explorers and long, solid work leading slowly to the finding. There are also well known cases of the “accidental” discoveries that happened quickly, intense and their founders did not even realize the range of the discovery, because they were working on something else at the time. Nevertheless, each finding requires energy, devotion and concentration of its discoverer. Solving mathematical problems demands quite the same things, thus teachers may find some opportunities to create curious, open-minded young discoverers. It is not an easy job to do though, because there is a great risk of killing pupils’ enthusiasm by teacher’s skepticism, there is a large chance to nip pupils’ energy in the bud by routine operations and there is a huge possibility to discourage pupils’ endeavors by giving them wrong-chosen problems to solve.

scholarly journals TEACHER’S AND STUDENT’S NEEDS FOR MATHEMATICAL PROBLEMS IN DISASTER CONTEXT

2019 ◽  
Vol 8 (2) ◽  
pp. 239
Author(s):  
Nuzulidar Nuzulidar ◽  
Rahmah Johar ◽  
Sulastri Sulastri
Keyword(s):  
Data Analysis ◽  
Junior High School ◽  
Early Stage ◽  
Affected Area ◽  
The Public ◽  
The Pacific ◽  
Teachers And Students ◽  
Disaster Situation ◽  
Mathematical Problems ◽  
Banda Aceh

Indonesia is an archipelagic country lies on the Pacific Ring of Fire, resulting in the country being vulnerable to disaster. Teachers need to accustom students to manage natural disaster situation in a more logical approach. Therefore, it is necessary to develop mathematical problems in disaster contexts. This research is an early stage of developmental research. The purpose of this study was to analyze the needs of teachers and students of mathematical problems in disaster contexts. The participants in this study were a mathematics teacher and 53 Year 7 and 8 students at one of the public junior high school, located in a Tsunami affected area, in Banda Aceh. Data collection involved an open questionnaire, and data analysis was carried out descriptively. The results showed that the teacher often provided mathematical problems in learning but had never read mathematical problems in disaster contexts. Also, only three students had ever read such problems. The results also revealed that nearly half of the students (41.5%) liked to solve mathematical problems. Besides, both the teacher and 71.7% of the students agreed and were willing to participate in the learning process involving mathematical problems in disaster contexts. The results of the study also showed that the mathematical questions in disaster contexts were limited. Thus, it is necessary to develop mathematical problems in disaster contexts.

scholarly journals Analytical proofs of expected value and variance of the main functions of continuous probability distributions, with examples of their applications

2019 ◽  
pp. 24-33
Author(s):  
Juan Villagómez-Méndez ◽  
Miguel Apolonio Herrera-Miranda ◽  
Israel Herrera-Miranda ◽  
Jorge Antonio Castillo-Medina
Keyword(s):  
Teaching And Learning ◽  
Probability Distributions ◽  
New Materials ◽  
Mathematical Concepts ◽  
Theory Of Didactic Situations ◽  
Adequate Understanding ◽  
Education Levels ◽  
Teachers And Students ◽  
Mathematical Problems ◽  
Educational Potential

The present work proposes the design of mathematical problems, which allow the adequate understanding of mathematical concepts of probability for its correct interpretation and later application in the resolution of probabilistic problems. For the development of this work we rely on the theory of didactic situations of Brousseau (1997) and Sadovsky (2005). We believe that new materials and didactic models of this type have great educational potential because they encourage the analysis and understanding of various probability problems (Panizza, 2003). Accurate communication between teachers and students in the approach, interpretation, resolution, and testing of probability problems is of vital importance. The software used for this purpose is the MATHEMATICA program, a tool that facilitates the writing of formulas and calculations, as well as the construction of graphs, through a friendly interface, facilitating the self-taught work of the student and encouraging the development of analysis skills and problem solving. We believe that these materials will contribute to the teaching and learning processes of probability at higher education levels.

scholarly journals IMPLEMENTATION OF GEOGEBRA HELP INKUIRI METHOD TO INCREASE ABILITY OF MATHEMATICAL PROBLEMS CLASS STUDENTS XI-TEI B SMK IT DEVELOPMENT OF CIMAHI CITY ON MATERIALS RULES OF SINUS AND COSINUS

2018 ◽  
Vol 1 (1) ◽  
pp. 27
Author(s):  
Dena Handriana ◽  
Rosalina Rolina ◽  
Asep Mulyana
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Test Results ◽  
Test Cycle ◽  
Average Value ◽  
Teachers And Students ◽  
Mathematical Problems ◽  
Inquiry Method ◽  
Academic Year

This research is an action research study . The problem formulated in this research is whether through geographical assisted inquiry method , mathematical problem solving ability of students of class XI-TEI B SMK TI Development on the material of sinus and cosine rules can be improved? The aim is to examine the improvement of problem solving ability of students of class XI-TEI B SMK IT Development of Cimahi through geogebra assisted inquiry method .This research was conducted on the students of class XI-TEI B SMK IT Development Cimahi academic year 2017-2018 with the number of students 24 people. The instrument used is a test of learning outcomes as a test of students' mathematical problem solving abilities of the sin and cosine rules, cycle I , II and II tests (after giving of action) and observation sheet for teachers and students for the conditions of action implementation. R prosedu study consisted of: (1) planning, (2) p elaksanaa n action, (3) observation and evaluation, and (4) r efleksi. The average value of the results of the test cycle II, which is 30 , 25 increased by 16.17 compared to the average value of the results of the test cycle I, namely 14.08. And the average value of the third cycle test results that is 76 , 75 increased by 46.50. Based on the performance indicators, it is concluded that the mathematical problem solving ability of students of class XI-TEI B SMK TI Pembangunan Cimahi on the material of sinus and cosine rules can be improved through geogebra assisted inquiry method .

scholarly journals Socratic as Mathematics Learning Application for Differential Equations Concept

2021 ◽  
Vol 3 (1) ◽  
pp. 97-110
Author(s):  
Wanda Nugroho Yanuarto ◽  
Anton Jaelani ◽  
Joko Purwanto ◽  
Mohamad Ikram Zakaria
Keyword(s):  
Differential Equations ◽  
Industrial Revolution ◽  
Mathematics Learning ◽  
Relevant Literature ◽  
Technology Application ◽  
Search Results ◽  
Source Selection ◽  
Learning Mathematics ◽  
Teachers And Students ◽  
Mathematical Problems

Technological improvements in the era of the Industrial Revolution 4.0 can be applied to learning mathematics as a medium of improving teacher performance. In addition, a pandemic situation forces teachers and students to implement online learning. One of the learning media that can help teachers in learning mathematics online is Socratic. The Socratic system generally consists of four basic components: acting humanely, thinking humanely, thinking rationally and acting rationally. For example, the Socratic can provide alternative solutions to the differential equations problems. Mathematics problems can be recorded by the Socratic through three main features:1) home screen, which is used to take pictures of solving the problem needed; 2) search results, the image that has been recorded will be searched for a solution through Socratic's artificial intelligence in internet database, and 3) an explanation, the search results that have been obtained, have their own explanation. Teachers and students as users may find the best solution for each explanation by the Socratic. Meanwhile, this study uses four stages of the literature review process:1) search for relevant literature, 2) evaluation and source selection, 3) identification of themes, and 4) outline of the structure of the writing. This paper systematically investigates the use of the Socratic as a technology application that can assist mathematical problems.

scholarly journals PENGEMBANGAN MODEL PEMBELAJARAN PENDIDIKAN MATEMATIKA REALISTIK INDONESIA (PMRI) UNTUK MENINGKATKAN KETERTARIKAN BELAJAR MATEMATIKA

2019 ◽  
Vol 1 (1) ◽  
pp. 8-14
Author(s):  
Akmal Hi Dahlan
Keyword(s):  
Mathematics Learning ◽  
Thinking Skills ◽  
Learning Objects ◽  
Strategic Thinking ◽  
Learning Approach ◽  
Learning Mathematics ◽  
Teachers And Students ◽  
Mathematical Problems ◽  
Qualitative Descriptive ◽  
Real Forms

This study aims to increase students' interest in learning mathematics. Based on the results of the pre-study, it was found that students were less interested in mathematics learning. This is caused by several factors including (1) mathematics learning so far generally lacks opportunities for students to develop strategic thinking skills, teachers only emphasize students to memorize all formulas or concepts without understanding their meanings, (2) learning is centered to the teacher (the use of lecture methods in mathematics learning) so that students are only used as learning objects, (3) in learning teachers rarely deliver material in real forms but only in abstract form. Therefore the learning series is designed using the Indonesian Realistic Mathematics Education (PMRI) learning approach to answer the phenomena that occur in pre-research. This study is a qualitative descriptive study. Subjects in this study were students of grade VII-A SMP Negeri 1 Pulau Morotai, North Maluku Province which numbered 25 people. The instruments used in this study were tests and interviews of teachers and students. The results showed that after the PMRI learning model was applied students felt interested and could improve mathematical knowledge and could also increase students' activeness in delivering ideas. For example, students dare to interact and negotiate between students and students and between students and teachers during the learning process. In addition, the PMRI learning approach can also reduce the level of abstractness of students in solving mathematical problems. This kind of thing does not happen to the learning by the mathematics teacher before. As a suggestion for teachers, in mathematics learning teachers should be able to connect the real world with mathematics learning because that can facilitate students to solve mathematical problems, and can increase students' interest in learning mathematics

scholarly journals ANALISIS TINGKAT KESULITAN SISWA DALAM KEMAMPUAN MENYELESAIKAN MASALAH MATEMATIKA MATERI PERSAMAAN KUADRAT

2020 ◽  
Vol 4 (1) ◽  
pp. 139
Author(s):  
Lala Intan Komalasari
Keyword(s):  
High School ◽  
Quadratic Functions ◽  
Quadratic Equations ◽  
Teachers And Students ◽  
Mathematical Problems ◽  
Factor Theorem

Penelitian ini bertujuan untuk menganalisis kesulitan – kesulitan siswa dalam menyelesaikan masalah matematika pada materi Persamaan Kuadrat Dan Fungsi Kuadrat, Teorema Faktor Dan Teorema Sisa Metode yang digunakan adalah menggunakan tes dan wawancara. Tes dilakukan kepada siswa sedangkan wawacara dilakukan kepada guru dan siswa. Sekolah yang merupakan tempat penelitian adalah SMA Advent Purwodadi sekolah ini adalah merupakan sekolah satu atap (SATAP) yang terdiri dari 300 siswa dari berbagai daerah Hasil wawancara guru menyatakan bahwa guru tidak terlalu mengalami kesulitan dalam mengajar materi Persamaan Kuadrat Dan Fungsi Kuadrat, Teorema Faktor Dan Teorema Sisa guru akan mengalami kesulitan apabila sudah masuk pada bentuk akar, sedangkan kesalahan yang dilakukan siswa bervariasi yaitu kesalahan fakta, kesalahan konsep, kesalahan prinsip dan kesalahan operasi. Solusi yang di tawarkan adalah pembelajaran dengan memberikan soal open- ended pada materi persamaan kuadrat dan untuk menentukan grafik fungsi kuadrat yaitu dengan mengkontruksi prinsip.ABSTRACTThis study aims to analyze the difficulties of students in solving mathematical problems in the material Quadratic Equations and Quadratic Functions, Factor Theorem and Time Theorem The method used is to use tests and interviews. Tests are conducted on students while interviews are conducted on teachers and students. The school which is a place of research is Adventist Purwodadi High School. This school is a one-roof school (SATAP) consisting of 300 students from various regions. The teacher's interview results state that the teacher has no difficulty in teaching the material Quadratic Equations and Quadratic Functions, Theorem Factors and Theorems The rest of the teachers will experience difficulties if they have entered the root form, while the mistakes made by students vary, namely fact errors, concept errors, principle errors and operating errors. The solution offered is learning by giving open-ended questions to the material in quadratic equations and to determine the graph of quadratic functions, namely by constructing the principle.

scholarly journals Analyzing the Teaching and Learning of Mathematical Reasoning Skills in Secondary School

2017 ◽  
Vol 13 (12) ◽  
pp. 167 ◽  
Author(s):  
E. Elvis Napitupulu
Keyword(s):  
Public Schools ◽  
Secondary School ◽  
Secondary Students ◽  
Teaching And Learning ◽  
Mathematical Reasoning ◽  
Upper Secondary ◽  
Teachers And Students ◽  
Mathematical Problems ◽  
Reasoning Skills ◽  
D Model

The paper reports part of a study aimed at developing teaching materials in inculcating upper secondary students’ mathematical reasoning skills (MRS). To develop the materials, the researcher implemented the Four-D Model. The study took subjects from five public schools in Province of North Sumatera, Indonesia. The researcher designed and developed students’ work sheet (SWS) and instrument to measure MRS. Along the teaching ran, which applied problem-based learning model, the researcher observed teachers’ and students’ activities while nurturing and applying MRS in the frame of solving mathematical problems. Of the four indicators laid to measure the MRS, students lack most in use of pattern relationship to analyse situation, to make analogy, or to generalize. The ways support student’s progress in achieving MRS are if (i) the problem faced is much mimicked the task solved in the classroom, (ii) more various problems given to solve under guidance, and (iii) intensive scaffolding is given.

Using MOOCs in the process of teaching future engineers mathematical disciplines

2021 ◽  
pp. 45-49
Author(s):  
E.V. Liksina ◽  
◽  
O.A. Vagaeva
Keyword(s):  
Learning Outcomes ◽  
Online Courses ◽  
Educational Process ◽  
Massive Open Online Courses ◽  
Teaching Mathematics ◽  
Open Education ◽  
Time Analysis ◽  
Massive Open Online ◽  
Teachers And Students ◽  
Mathematical Problems

Researched are peculiarities of using massive open online courses (MOOCs) in the process of teaching mathematics to future engineers. The need for democratization, increased accessibility and the trend towards digitalization of education in the future will lead to the widespread use of online courses in education, including technical. As part of the study, a survey was conducted of teachers and students of technical universities in the form of a questionnaire. The survey revealed a fairly high awareness of teachers about massive open online courses (93.3%). Among students, the number of such respondents was only 45.4%. The most popular among the surveyed teachers and students is the online platform “Open Education” — 53.3% and 34.5%, respectively. Note that among the reasons that prevent the use of massive open online courses in education are: lack of free time, lack of skills to work in this format, lack of regulation of the implementation of learning outcomes in MOOCs in the formal educational process. At the same time, analysis of the platforms Coursera, EdX, OpenEducation, Intuit, Lektorium, and Stepik showed that as of January 2021, 150 courses were available in both general and specific math areas. We believe that the active use of massive open online courses in preparation for the educational process can increase the efficiency of mastering competencies in solving practical mathematical problems, which will improve the training of future engineers.

scholarly journals PENGEMBANGAN MEDIA KOMIK DENGAN PENDEKATAN SAINTIFIK UNTUK MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA SD

2019 ◽  
Vol 3 (6) ◽  
pp. 1405
Author(s):  
Danang Pamungkas ◽  
Wahyudi Wahyudi ◽  
Endang Indarini
Keyword(s):  
Elementary School ◽  
Elementary Schools ◽  
Research And Development ◽  
Elementary School Students ◽  
Research Method ◽  
Development Model ◽  
School Students ◽  
Teachers And Students ◽  
Mathematical Problems ◽  
Expert Validation

This research and development aims to develop and test the validity, practicality, and effectiveness of comic-based modules in mathematics in elementary schools. The research method used is R&D with the ADDIE development model which consists of five stages, namely 1) analysis, 2) design, 3) development, 4) implementation and 5) evaluation ). Product validity was obtained from expert testing with expert validation instruments. The practicality of the product in the form of comic media was obtained through limited trials with a questionnaire instrument. The effectiveness is obtained through one class trial with one group pretest-posttest design then the results are tested using Paired SamplesvT Test. The result of this research is that the comic-based media module generally improves the ability to solve mathematical problems in the classroom material of five elementary school students. Learning media are declared valid based on the test of media experts, material experts and learning experts. Learning media are declared practical based on the results of the questionnaire responses of teachers and students. Learning media are declared effective based on the results of students' Paired SamplesvT Test pretest-posttest.

scholarly journals Development of Geogebra-Assisted Problem Based Learning (PBL) Learning Tools to Improve Visual Thinking Skills in Mathematical Problem Solving Students of SMA Negeri 1 Samudera

2021 ◽  
Vol 4 (1) ◽  
pp. 239-251
Author(s):  
Kholilah Amriani Harahap ◽  
Bornok Sinaga ◽  
Pargaulan Siagian
Keyword(s):  
Problem Solving ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Thinking Skills ◽  
Student Response ◽  
Visual Thinking ◽  
Learning Tools ◽  
Teachers And Students ◽  
Mathematical Problems

This study aims to produce valid, practical, and effective learning tools, as well as to analyze the improvement of visual thinking skills in problem solving for XI grade students of SMA Negeri 1 Samudera using mathematics learning tools oriented problem based learning assisted by GeoGebra. The data were obtained through the validation sheet of teaching materials, observation sheets, student response questionnaires, and instruments for testing the ability of visual thinking in solving mathematical problems. This study uses the Dick & Carey (1996) development model. Based on the results of the validity by the validator team, the average validity of the RPP was 4.51, LKPD was 4.22, and student books were 4.29. Expert / practitioner assessment which states that learning devices can be used with a few revisions and without revision, the results of interviews with teachers and students obtain information that learning devices can be used easily and the results of observations of the implementation of learning tools in class in the first trial of 81.67% and in the second trial of 87.22% and included in the good category. Learning devices in trial II, obtaining classical student learning completeness results have been achieved in trial II, namely 87.5%, the achievement of learning objectives has been achieved for each item in trial II, student responses are very positive to the device being developed and learning time does not exceed ordinary learning, namely three meetings.

Sign in / Sign up

Export Citation Format

Share Document