scholarly journals CHARACTERISTICS OF STUDENTS’ ABDUCTIVE REASONING IN SOLVING ALGEBRA PROBLEMS

2020 ◽  
Vol 11 (3) ◽  
pp. 347-362
Author(s):  
Indriati Nurul Hidayah ◽  
Cholis Sa'dijah ◽  
Subanji Subanji ◽  
Sudirman Sudirman
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Deductive Reasoning ◽  
Abductive Reasoning ◽  
Education Students ◽  
Error Type ◽  
Factual Error ◽  
Learning Mathematics ◽  
New Ideas

When students solve an algebra problem, students try to deduce the facts in the problem. This step is imperative, students can draw conclusions from the facts and devise a plan to solve the problem. Drawing conclusions from facts is called reasoning. Some kinds of reasoning are deductive, inductive, and abductive. This article explores the characteristics of some types of abductive reasoning used by mathematics education students in problem-solving related to using facts on the problems. Fifty-eight students were asked to solve an algebra problem. It was found that the student’s solutions could be grouped into four types of abductive reasoning. From each group, one student was interviewed to have more details on the types. First, the creative conjectures type, the students can solve the problems and develop new ideas related to the problems; second, fact optimization type, the students make conjecture of the answer, then confirm it by deductive reasoning; third, factual error type, students use facts outside of the problems to solve it, but the facts are wrong; and fourth,  mistaken fact type, the students assume the questionable thing as a given fact. Therefore, teachers should encourage the students to use creative conjectures and fact optimization when learning mathematics.

scholarly journals Students’ visual thinking ability in solving the integral problem

2020 ◽  
Vol 5 (2) ◽  
pp. 175-186
Author(s):  
Ummu Sholihah ◽  
Maryono Maryono
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Essential Role ◽  
Thinking Skills ◽  
Specific Information ◽  
Visual Thinking ◽  
Graph Problems ◽  
Learning Mathematics ◽  
Thinking Ability ◽  
Technological Tools

Visual thinking plays an essential role in solving problems and in learning mathematics. Many students do not understand how to graphically or geometrically represent problems and solve algebra problems. Visual thinking is the ability, process, and results of creating, interpreting, using, and imagining images and diagrams on paper or with technological tools, describing and communicating information and ideas, developing ideas, and understanding improvement. This research describes students’ visual thinking ability to solve integral problems. The approach used in this study was descriptive qualitative. The subjects in this study were three students from the Department of Mathematics Education at the State Islamic Institute of Tulungagung. The data were collected by using tests and interviews. The steps to analyze the data were categorization, reduction, exposure, interpretation, and conclusion. Based on the analysis of students’ visual thinking skills in solving integral problems, there were three levels of visual thinking: semi-local visual, local visual, and global visual. At the semi-local visual level, students could only understand algebraically, and they have not shown it graphically at all. Meanwhile, at the local visual level, they have already understood geometry as an alternative language and been able graphically represented problems or concepts, even though it was not perfectly done yet. While on a global visual level, they could perfectly visualize visual thinking indicators, understand algebra and geometry as alternative languages for problem-solving, extract specific information from diagrams, graph problems, and use them to solve problems perfectly.  

scholarly journals PERCEPTIONS OF MATHEMATICS EDUCATION STUDENTS TOWARD E-LEARNING DURING THE COVID-19 PANDEMIC

2021 ◽  
Vol 6 (1) ◽  
pp. 15-30
Author(s):  
Julia Noviani
Keyword(s):  
Mathematics Education ◽  
Independent Learning ◽  
Education Students ◽  
Study Program ◽  
Positive Effects ◽  
Global Pandemic ◽  
Learning Mathematics ◽  
Social Restriction ◽  
E Learning ◽  
Internal Barriers

COVID-19 as a global pandemic affects various sectors, including education. This study describes students' perceptions of using e-learning in mathematics distance learning during a COVID-19 pandemic. This type of study is descriptive qualitative research. This study involved four students from the Mathematics Education Study Program, Tarbiyah, IAIN Takengon. The researcher gathered the data in this study via an interview process. The interview was conducted by phone since there was a social restriction regulation from the local government. This study states that students experience obstacles while learning mathematics using e-learning during a COVID-19 pandemic. These barriers are classified into three barriers: internal barriers, external barriers, and cross internal and external barriers. Nevertheless, the positive effects are also felt as students have independent learning, confidence while studying, motivation, ease, and flexibility in accessing the e-learning and learning contents. Furthermore, this study recommends that the e-learning design match the learning objectives to minimize the barriers.  

scholarly journals INVESTIGATION ON THE ATTITUDE OF MATHEMATICS EDUCATION STUDENTS TOWARDS LEARNING MATHEMATICS IN GUILIN

2020 ◽  
Vol 5 (2) ◽  
pp. 93-102
Author(s):  
Zhou Ying ◽  
Tommy Tanu Wijaya ◽  
Gao Ya
Keyword(s):  
Mathematics Education ◽  
Qualitative Method ◽  
Mathematics Learning ◽  
Female Students ◽  
Education Students ◽  
Learning Mathematics ◽  
Attitude Towards Mathematics ◽  
Cluster Random Sampling ◽  
Research Show ◽  
Good Attitude

The aim of this study is to know attitude of mathematics education students towards mathematics learning in Guilin, China. The method used in this study is a qualitative method. The sample is taken using cluster random sampling from third and fifth semester students at Guangxi Normal University. Data were collected using questionnaire. The results of the research show that 27 male and 133 female students have a very good attitude towards mathematics. While, there are 4 male and 12 female students have a good attitude towards mathematics and 17 male and 5 female students have an average attitude towards mathematics. For the 5th semester students, there are 21 male and 151 female students with a very good attitude towards mathematics. On the other hand, there are 4 male and 18 female students that have a good attitude toward mathematics and 3 male and 7 female students have an average attitude towards mathematics.

A Teacher's Journal: Large-Scale Family Math Nights: A Primer for Collaboration

2004 ◽  
Vol 10 (5) ◽  
pp. 254-257
Author(s):  
Joan Yares Schussheim
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Learning Environments ◽  
Large Scale ◽  
Mathematics Learning ◽  
Concept Development ◽  
Learning Mathematics ◽  
Mathematics Games ◽  
New Challenges ◽  
Risk Takers

NCTM's vision for mathematics in the new millennium includes an invitation to parents to become partners in the mathematics education of their children (NCTM 2000). Encouraging families to become problem-solving risk takers as they turn daily mathematics moments into mathematics events, to establish learning environments at home, and to informally work together on mathematics games and concept development are positive goals for all educators. The purpose of our school's Family Math Night is to provide a friendly, nonthreatening environment for teachers to initiate a dialogue, demystify a subject, and share new challenges; the event is about mathematics learning, mathematics sharing, and having fun with mathematics.

scholarly journals PENGEMBANGAN BAHAN AJAR PENDIDIKAN MATEMATIKA 1 UNTUK MENINGKATKAN KUALITAS PEMBELAJARAN MAHASISWA PGSD UNIVERSITAS KUNINGAN

2017 ◽  
Vol 9 (2) ◽  
pp. 67
Author(s):  
Aan Nurhasanah
Keyword(s):  
Mathematics Education ◽  
Development Stage ◽  
Education Students ◽  
Teaching Materials ◽  
Learning Mathematics ◽  
Quality Of Learning ◽  
Post Test ◽  
Expert Team ◽  
Teacher Education Students

Abstract:. This research and development aims to produce teaching materials for improving the quality of learning of Elementary Teacher Education students of University of Kuningan especially on Mathematics Education I course. This research using Dick and Carey Research & Development model. The research stages are (a) the stages of analysis performed on the curriculum, the needs of the students and the lecturers' needs. (B) the product development stage is a lecture module, which is analyzed by expert team. (C) the pilot stage, this stage is done if the expert team has finished validating the teaching materials to be used in the lecture process. The results showed that the teaching materials developed can improve the quality of learning with the average achievement of pre-test of 65.76 while the mean post-test value of 78.20. Then the results of the observer assessment showed that 78% of students follow the course activities well.Keywords: teaching materials, quality of learning, mathematics education Abstrak: Penelitian dan pengembangan ini bertujuan menghasilkan bahan ajar untuk peningkatan kualitas pembelajaran mahasiswa PGSD Universitas Kuningan khususnya pada matakuliah Pendidikan Matematika I. Metode penelitian yang digunakan adalah model Dick and Carey. Tahapan penelitian terdiri dari (a) tahapan analisis yang dilakukan terhadap kurikulum, kebutuhan mahasiswa serta kebutuhan dosen. (b) tahapan pengembangan produk berupa modul perkuliahan, yang dianalisis oleh tim ahli. (c) tahapan uji coba, tahapan ini dilakukan jika tim ahli telah selesai memvalidasi bahan ajar yang akan digunakan dalam proses perkuliahan. Hasil penelitian menunjukkan bahwa bahan ajar yang dikembangkan dapat meningkatkan kualitas pembelajaran dengan rerata pencapaian pretes sebesar 65,76 sedangkan rerata nilai postes sebesar 78,20. Kemudian hasil penilaian observer menunjukan 78% mahasiswa mengikuti aktivitas perkuliahan dengan baik.Kata kunci : bahan ajar, kualitas pembelajaran, pendidikan matematika

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
Keyword(s):  
Adult Education ◽  
Problem Solving ◽  
Practical Importance ◽  
Education Students ◽  
Problem Solving Skills ◽  
Knowing How ◽  
Mathematics Problem Solving ◽  
Palabras Clave ◽  
Learning Mathematics ◽  
Mathematical Problems

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.

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