scholarly journals EJERCICIOS PARA FAVORECER LA COMPRENSIÓN DE PROBLEMAS MATEMÁTICOS EN LA EDUCACIÓN DE ADULTOS

2019 ◽  
Vol 4 (3) ◽  
pp. 145
Author(s):  
Luis Alberto Rodríguez Núñez ◽  
Michel Enrique Gamboa Graus

El desarrollo de habilidades para resolver problemas ha de estar en el foco de especial atención por la importancia que reviste desde el punto de vista práctico. La resolución de problemas ha sido uno de los grandes pilares del aprendizaje de las matemáticas porque implica, entre otras cosas, saber integrar de manera coherente y con comprensión objetos, definiciones, representaciones matemáticas y saber usar esas configuraciones para encontrar respuestas correctas. Con ese objetivo, en esta investigación se ofrecen ejercicios que favorezcan la comprensión en la resolución de problemas matemáticos en los estudiantes de la Educación de Adultos. Estos se elaboraron en función de las principales causas de las insuficiencias identificadas en el contexto educativo tunero. Estos se enfocaron en reconocer otros modos o vías para resolver problemas, en la identificación de sub-metas, las posibilidades de los estudiantes para esbozar, graficar o modelar lo planteado y en plantear el problema con sus propias palabras. Además, es destacable la incidencia de la escala y el producto informático aportados para aplicarlos al desarrollo de investigaciones, en función de la recopilación y análisis de datos referidos a conjuntos lo más numerosos posible, donde destacan la variabilidad y la incertidumbre. La investigación fue realizada en la Educación de Jóvenes y Adultos de la provincia de Las Tunas, según un muestreo estratificado proporcional para un nivel de confianza del 93% y un máximo de error permitido del 9%. Esta se implementó en las 17 Facultades Obrera y Campesina distribuidas en cada uno de los municipios tuneros. PALABRAS CLAVE: Matemática; resolución de problemas; educación de adultos. EXERCISES TO PROMOTE UNDERSTANDING OF MATHEMATICAL PROBLEMS IN ADULT EDUCATION ABSTRACT The development of problem-solving skills must be in the focus of special attention because of its practical importance. Problem solving has been one of the great pillars of learning mathematics because it involves, among other things, knowing how to integrate objects, definitions, mathematical representations in a coherent and comprehensible way and knowing how to use those settings to find correct answers. With this objective, this research offers exercises that favor understanding in the resolution of mathematical problems in Adult Education students. These were developed according to the main causes of the shortcomings identified in the educational context of Las Tunas. They focused on recognizing other ways of solving problems, identifying sub goals, the possibilities for students to sketch, graph or model the problem, and posing the problem in their own words. In addition, the incidence of the scale and the computer product contributed to apply them to the development of research, based on the collection and analysis of data referring to as many sets as possible, where variability and uncertainty stand out. The research was carried out in the Youth and Adult Education of the province of Las Tunas, according to a stratified proportional sampling for a confidence level of 93% and a maximum allowed error of 9%. This was implemented in the 17 Workers' and Farmers' Faculties distributed in each one of the municipalities of the province. KEYWORDS: Mathematics; problem solving; adult education.

2020 ◽  
Vol 2 (1) ◽  
pp. 100-110
Author(s):  
La Ode Amril ◽  
Darhim ◽  
Dadang Juandi

Mathematics has an important role in the cognitive development of deaf students. Through learning mathematics in schools, deaf students will explore and build knowledge, because literally mathematics is the parent of knowledge and human activities. One important aspect in learning mathematics is the ability to solve problems. Problem solving means engaging in a task for which the solution method is not known in advance. In order to find a solution, students must draw on their knowledge, and through this process, they will often develop new mathematical understandings.This study aims to analyze the mental act of deaf students in solving mathematical problems in fraction material. Respondents of 20 students were randomly selected from 3 special schools. This type of research is qualitative with a case study design. Data was collected through the instrument of problem solving abilities, interviews, and observations. Data were analyzed using grouded theory. The results of this study indicate that the mental act used by deaf students in solving mathematical problems is interpreting, explaining, inferring, and problem solving.


2019 ◽  
Vol 3 (1) ◽  
pp. 96
Author(s):  
Thalia Thamsir ◽  
Destya Waty Silalahi ◽  
Robert Harry Soesanto

<strong></strong><p>The purpose of learning mathematics is to obtain life skills through problem solving. Problem solving skills are one of mathematics skills that must be possessed by students. The result of the pre-cycle in this research showed that 83.33% of students had not achieved the minimum predicate “B-” in solving non-routine problems. It proved that students’ abilities in mathematics problem solving in non-routine problems were still low. During the pre-cycle, the researcher also observed some students who were not brave enough yet to ask questions of the teacher directly during the learning process. Besides that, almost all the students still had high individualistic and low awareness. Based on the problems that happened in the class, the researcher offered the peer tutoring method as a solution to improve students’ mathematical problem-solving skills in non-routine problems. The research method used in this research was Classroom Action Research using the Kemmis and McTaggart model. The instruments used in this research were tests, observation sheets, students’ questionnaires, and journal reflections. Based on the data analysis, students’ mathematical problem-solving skills in non-routine problems improved to 29.17% by implementing the peer tutoring<em> </em>method with the steps (1) choosing the tutors, (2) guiding the tutors, (3) students doing the tutoring activity, and (9) evaluating the learning process</p><p class="abstrak"><strong>BAHASA INDONESIA ABSTRAK: </strong>Tujuan dari mempelajari matematika ialah untuk memperoleh kecakapan hidup salah satunya melalui pemecahan masalah. Kemampuan pemecahan masalah merupakan salah satu standar kemampuan matematika yang harus dimiliki oleh siswa. Hasil tes pra siklus pada penelitian ini menunjukkan sebanyak 83.33% siswa belum mampu mencapai predikat minimal ‘B-’ dalam menyelesaikan soal non-rutin. Ini membuktikan bahwa kemampuan pemecahan masalah matematis siswa pada soal non-rutin masih kurang. Selama pra siklus berlangsung, peneliti juga mengamati beberapa siswa belum berani untuk bertanya langsung kepada guru selama proses pembelajaran berlangsung. Selain itu, sebagian besar siswa masih memiliki sikap individualis yang tinggi dan juga rasa kepedulian antar siswa masih rendah. Berdasarkan masalah yang terjadi di dalam kelas tersebut maka peneliti menawarkan metode <em>peer tutoring </em>sebagai solusi untuk meningkatkan kemampuan pemecahan masalah matematis siswa pada soal non-rutin. Metode penelitian yang digunakan adalah Penelitian Tindakan Kelas dengan model Kemmis dan Mc. Taggart. Instrumen yang digunakan pada penelitian ini adalah tes, lembar observasi, angket siswa dan jurnal refleksi. Berdasarkan analisis data, kemampuan pemecahan masalah matematis siswa pada soal non-rutin mengalami peningkatan hingga 29,17% menggunakan metode <em>peer tutoring </em>dengan langkah-langkah penerapan yaitu (1) memilih tutor, (2) membimbing tutor, (3) siswa melakukan kegiatan tutorial, dan (4) mengevaluasi pembelajaran</p><strong></strong>


2019 ◽  
Vol 14 (2) ◽  
pp. 139-149
Author(s):  
Mohammad Archi Maulyda ◽  
Vivi Rachmatul Hidayati ◽  
Awal Nur Khalifatur Rosyidah ◽  
Iva Nurmawanti

Problem-solving is an important competency that must be owned by students. Problem-solving skills can facilitate students in understanding, connecting, and using mathematical concepts. Even so, mistakes in solving mathematical problems are still made by students. One reason is the lack of habituation of problem-solving in learning mathematics. Teachers who have good problem-solving skills will find it easier to teach and do an activity about problem-solving in learning mathematics. The purpose of this study is to describe the problem-solving ability of primary school teachers based on Polya’s method. This research method is descriptive-qualitative. The research subjects were primary mathematics teachers who taught in Mataram City, Indonesia. Each research subject solved three mathematical problems correctly and the problem-solving process will be analyzed based on Polya's method. The results obtained are teachers from city and suburb schools doing three indicators, namely identifying information on the problem, carrying out the procedure according to plan, and doing calculations correctly. Indicators of problem-solving that are not done are writing problem questions, making mathematical models, and writing final conclusions.Kemampuan Pemecahan Masalah Guru Sekolah Dasar Berdasarkan Metode Polya di Kota MataramAbstrakPemecahan masalah adalah salah satu kompetensi yang cukup penting. Kemampuan pemecahan masalah dapat memudahkan siswa dalam memahami, menghubungkan, dan menggunakan konsep-konsep matematika. Meskipun begitu, kesalahan dalam pemecahan masalah matematika masih dilakukan oleh siswa. Salah satu sebabnya adalah kurangnya pembiasan pemecahan masalah pada pembelajaran matematika di sekolah. Guru yang memiliki kemampuan pemecahan masalah yang baik, akan lebih mudah mengajarkan dan membiasakan pemecahan masalah pada pembelajaran matematika di sekolah. Tujuan dari penelitian ini adalah untuk mendeskripsikan kemampuan pemecahan masalah pada guru SD di Kota Mataram. Metode penelitian ini adalah deskriptif-kualitatif. Subjek penelitian adalah guru matematika SD yang mengajar di pusat dan pinggiran Kota Mataram. Masing-masing subjek penelitian menyelesaikan tiga masalah matematika dengan benar dan akan dianalisis proses penyelesaian masalahnya berdasarkan metode Polya. Hasil yang didapatkan adalah guru dari sekolah kota dan pinggiran melakukan tiga indikator, yakni mengidentifikasi informasi pada masalah, melakukan prosedur penyelesaian sesuai rencana, dan melakukan perhitungan dengan benar. Indikator penyelesaian masalah yang tidak dilakukan adalah  menuliskan pertanyaan masalah, membuat model matematika, dan menuliskan kesimpulan akhir.


Author(s):  
Jenny Root ◽  
Alicia Saunders ◽  
Fred Spooner ◽  
Chelsi Brosh

The ability to solve mathematical problems related to purchasing and personal finance is important in promoting skill generalization and increasing independence for individuals with moderate intellectual disabilities (IDs). Using a multiple probe across participant design, this study investigated the effects of modified schema-based instruction (MSBI) on personal finance problem solving skills, purchasing an item on sale or leaving a tip, and using a calculator or iDevice (i.e., iPhone or iPad) for three middle school students diagnosed with a moderate ID. The results showed a functional relation between MSBI using a calculator on the participant’s ability to solve addition and subtraction personal finance word problems and generalize to iDevices. The findings of this study provide several implications for practice and offer suggestions for future research.


2019 ◽  
Vol 2 (2) ◽  
pp. 119
Author(s):  
Susiana Juseria Tambunan ◽  
Debora Suryani Sitinjak ◽  
Kimura Patar Tamba

<p>This research aims to build students’ abilities in mathematical problem-solving and to explain the uniqueness of the steps of realistic mathematic education in building the problem-solving abilities of a grade 11 (social science track) class in the study of probability at one of the schools in Kupang. The observation results found that every student was having difficulties to solving the mathematical problems, particularly the narrative questions. The research method is Kemmis and Taggart model of Classroom Action Research which was conducted in three cycles, from October 4 to November 3 with twenty-four students. Triangulation had been done to every instrument of variable. The data of mathematical problem-solving was obtained from the students by using test sheets, questionnaires, and student’s discussion sheets. Meanwhile, the data of realistic mathematic education’s variable was obtained from three sources: mentors, two colleagues, and students that were using test sheets, questionnaires, and student’s discussion sheets. The results showed that the fourteen-steps of Realistic Mathematic Education that had been done were able to build mathematical problem-solving abilities of the students. This was evidenced through the increase of three indicators of mathematical problem-solving in every cycle. The average increase of indicators of mathematical problem-solving of the grade 11 students from the first to the third cycle was 10%. Therefore, it can be concluded that the Realistic Mathematics Approach can build the ability of problem-solving of grade 11 students in a social science track studying probability at one of the schools in Kupang.</p><strong>BAHASA INDONESIA </strong><strong>ABSTRACT</strong>: Penelitian ini bertujuan untuk membangun kemampuan pemecahan masalah matematis siswa dan menjelaskan kekhasan langkah-langkah pendekatan matematika realistik untuk membangun kemampuan tersebut di salah satu sekolah di Kupang kelas XI IPS pada materi peluang topik kaidah pencacahan. Pada hasil pengamatan ditemukan bahwa setiap siswa kesulitan dalam memecahkan masalah matematis khususnya soal berbentuk cerita. Metode penelitian yang digunakan adalah Penelitian Tindakan Kelas model Kemmis dan Taggart yang berlangsung selama tiga siklus, yaitu 04 Oktober – 03 November kepada 24 orang siswa. Triangulasi dilakukan pada setiap instrumen variabel. Data variabel kemampuan pemecahan masalah matematis diperoleh dari siswa menggunakan lembar tes, lembar angket, dan lembar diskusi siswa. Sedangkan data variabel tingkat pelaksanaan pendekatan matematika realistik diperoleh dari tiga sumber, yaitu mentor, dua orang rekan sejawat, dan siswa menggunakan lembar observasi, lembar angket, dan lembar wawancara. Hasil penelitian menunjukkan bahwa keempat belas langkah-langkah pendekatan matematika realistik yang terlaksana dengan baik sekali mampu membangun kemampuan pemecahan masalah matematis setiap siswa kelas XI IPS di salah satu sekolah di Kupang. Hal ini dinyatakan melalui peningkatan ketiga indikator pemecahan masalah matematis di setiap siklus. Peningkatan rata-rata indikator pemecahan masalah matematis siswa kelas XI IPS dari siklus pertama sampai ketiga adalah sebesar 10%. Oleh karena itu, dapat disimpulkan bahwa pendekatan matematika realistik dapat membangun kemampuan pemecahan masalah matematis siswa kelas XI IPS di salah satu sekolah di Kupang pada materi peluang topik kaidah pencacahan.


Author(s):  
Ifada Novikasari ◽  
Slamet Pamuji ◽  
Muhammad Arsy Maulana

The ability to solve mathematics problems is an ability needed in the learning process. Mathematic anxiety and student learning styles are among the factors that influence the success of mathematics problem-solving ability. By paying attention to mathematics anxiety and learning styles possessed by students, it is expected that the ability to solve mathematics problems will increase. This research is a field research type with an Ex Post Facto method and multiple linear regression statistical data analysis techniques. Data was collected through mathematics anxiety questionnaires, student learning style questionnaires, and mathematics problem-solving skills of students at Madrasah Aliyah level. The results show that (1) there is no significant effect of mathematics anxiety on the ability to solve mathematics problems with the tcount is 1.537 and the significance level is 0.126 ≥ 0.05. (2) there is a positive and significant effect of learning styles on the ability to solve mathematics problems with the value of tcount is 2.457 and a significance level of 0.015 <0.05.


Author(s):  
Anna Rybak

Students in many countries have problems learning mathematics. Many students do not like mathematics. It is also a problem for teachers. The question has to be answered: Why does math education cause so many problems? We have set up the Centre for Creative Learning of Mathematics at the University of Bialystok (Poland). It is a place where we try to create appropriate athmosphere and circumstances for students of all ages to become active discoverers of mathematics, not just passive recipients of knowledge from books or teachers. As a theoretical background we took ideas from Tamás Varga, Zofia Krygowska, the theory of constructivism, the strategy of functional mathematics teaching and problem-solving method. Lessons and workshops for students in our Centre are based on the combination of the following ideas: The participants solve practical or theoretical problems (problem solving method) and carry out concrete, representative and abstract activities (strategy of functional mathematics teaching by Z. Krygowska) which help them discover and formulate knowledge (constructivism). The whole process corresponds very well to some of T. Varga's important ideas or his conviction of the main objectives of mathematics teaching: Students explore the knowledge themselves and think independently. The subject of mathematics is transformed into a thought formulation process in which students turn from the role of passive recipients to the active knowledge creation. Classification: A80. Keywords: T. Varga, Z. Krygowska, constructivism, strategy of functional teaching of mathematics, problem solving method, creative learning


2016 ◽  
Vol 6 (3) ◽  
pp. 32 ◽  
Author(s):  
Nahil M. Aljaberi ◽  
Eman Gheith

<p>This study aims to investigate the ability of pre-service class teacher at University of Petrain solving mathematical problems using Polya’s Techniques, their level of problem solving skills in daily-life issues. The study also investigates the correlation between their ability to solve mathematical problems and their level of problem solving skills in daily-life issues. The study sample consisted of 65 female students majoring in class teacher. Data were collected using two questionnaires: the mathematical problem solving test which was developed by the researchers and daily life problem solving scale which was developed by (Hamdi, 1998). The findings indicate that students had high level skills in solving daily problems; there are no statistically significant differences in daily problem solving in relation to their academic year or high-school stream. Conversely, the findings also indicate weaknesses in students’ skills in solving mathematical problems, with no statistically significant differences among students in solving mathematical problems according to Polya’s problem solving steps. However, there were statistically significant differences in students’ performance in solving mathematical problems in relation to the mathematical topic, and in favor of measurements and algebra; in addition to statistically significant differences in students’ ability to solve mathematical problems in relation to academic year and high-school stream, but no correlation between students’ abilities in solving mathematical problems and those in solving daily problems.</p>


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