scholarly journals The Role of Students’ Intuition in Solving Basic Mathematical Problems in Mathematics Department of Education Faculty of Muhammadiyah Cirebon University

2018 ◽  
Vol 7 (1) ◽  
Author(s):  
Arwanto Arwanto ◽  
I Ketut Budayasa ◽  
Mega Teguh Budiarto
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Department Of Education ◽  
Male Students ◽  
First Semester ◽  
Mathematics Problems ◽  
Depth Interview ◽  
Mathematics Student ◽  
Mathematical Problems

This study was conducted using qualitative approach, which aims to determine the role of students’ intuition in solving basic mathematical problems. Polya problem-solving steps was used for data collection followed by in-depth interview towards the subject of the study. The interview was conducted to know whether the subjects solve the problems intuitively or not. The subjects of the study are the first semester male students of Muhammadiyah Cirebon University. The result of this study indicates the role of mathematics student intuition in solving basic mathematics problems as follows: (1) In the process of learning basic mathematical problems, the subjects learn some basic mathematical problems intuititively. (2) In making problem-solving plans, subjects tend to use the role of direct intuition. (3) In making plans and applying mathematical problem, the subjects solve some problems without the role of intuition.

scholarly journals Examining Mathematical Problem-Solving Beliefs among Rwandan Secondary School Teachers

2021 ◽  
Vol 20 (7) ◽  
pp. 227-240
Author(s):  
Aline Dorimana ◽  
Alphonse Uworwabayeho ◽  
Gabriel Nizeyimana
Keyword(s):  
Problem Solving ◽  
Secondary School Teachers ◽  
Mathematics Classroom ◽  
Mathematical Problem ◽  
Real Life ◽  
Mathematical Problem Solving ◽  
Teachers Beliefs ◽  
Mathematical Problems ◽  
Teacher Professional

This study explored teachers' beliefs about mathematical problem-solving. It involved 36 identified teachers of Kayonza District in Rwanda via an explanatory mixed-method approach. The findings indicate that most teachers show a positive attitude towards advancing problem-solving in the mathematics classroom. However, they expose different views on its implementation. Role of problem-solving, Mathematical problems, and Problem-solving in Mathematics were identified as main themes. Problem-solving was highlighted as an approach that helps teachers use time adequately and helps students develop critical thinking and reasoning that enable them to face challenges in real life. The study recommends teacher professional development initiatives with their capacity to bring problem-solving to standard.

scholarly journals Tipikal Gender dalam Mengkomunikasikan Penyelesaian Masalah Matematika SMP

2019 ◽  
Vol 7 (2) ◽  
Author(s):  
Nuralam Nuralam ◽  
Muhammad Yani
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Gender Equality ◽  
Communication Skills ◽  
Mathematical Problem ◽  
Female Students ◽  
Male Students ◽  
Mathematical Problem Solving ◽  
Mathematical Communication ◽  
Mathematical Problems

The emphasis of mathematics learning, especially students' communication skills, needs to be considered from gender equality in solving mathematical problems. This study aims to describe: 1) the potential mathematical communication skills of students based on gender; 2) gender equality in communicating mathematical problem solving; and 3) the suitability of the form of the model or the applied form to develop students' mathematical communication skills based on gender at school. This research is a descriptive qualitative research conducted on all junior high school students in Langsa with a purposive sampling technique of 283 students. The data were collected through mathematical communication skills and questionnaire tests which were analyzed descriptively using the concept of Miles and Huberman. The results showed that: 1) mathematical communication skills of female students were better than male students in solving mathematical problems; 2) mathematical communication skills of male students are better in suburban schools and female students are better in downtown schools; and 3) learning implementation plans are still limited in emphasizing mathematical communication skills and learning tends to be cooperative and individual. It is recommended that learning plans refer to developing mathematical communication skills that pay attention to students' gender equality in order to optimize mathematical problem solving.

scholarly journals Mathematical Problem-Solving on Slow Learners Based on Their Mathematical Resilience

Jurnal Elemen ◽  
2021 ◽  
Vol 7 (2) ◽  
pp. 351-365
Author(s):  
Ayu Faradillah ◽  
◽  
Yasmin Husna Restu Fadhilah ◽  
Keyword(s):  
Problem Solving ◽  
Learning Strategies ◽  
Mathematical Problem ◽  
Male Students ◽  
Mathematical Problem Solving ◽  
Slow Learner ◽  
Students With Special Needs ◽  
Slow Learners ◽  
Mathematical Problems ◽  
Mathematical Resilience

This study aims to describe mathematical resilience on slow learner students in solving problems. According to the previous research, there is no research focused on the subject of slow learners. The research method is a qualitative descriptive approach. The total population of this study was 71 students with special needs, which consisted of 51 male students and 20 female students. The selection of subjects in this study was reviewed based on three levels of mathematical resilience, namely high, medium, and low. The process of selecting this subject uses the Wright Maps table on Winsteps application version 3.73. Selected subjects were given instruments and interviews to analyze their mathematical problem-solving. The results showed that mathematical resilience on slow learner students was directly proportional to solving mathematical problems for subjects with high mathematical resilience. Meanwhile, subjects with medium and low mathematical resilience were inversely proportional to solving mathematical problems. The stages of solving the problem of the slow learners were incomplete because they have not passed one of the stages formulated by Polya. Therefore, based on the results of this research analysis, teachers can pay more attention to the slow-learners learning strategies in solving problems.

Meningkatkan Kemampuan Pengajuan Masalah Serta Penyelesaian Masalah Matematika Melalui Pembelajaran Berbasis Masalah Pada Mahasiswa Jurusan Pendidikan Matematika STKIP “Tapanuli Selatan” Padang Sidempuan

2014 ◽  
Vol 3 (2) ◽  
pp. 165-172
Author(s):  
Sinar Depi Harahap
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Strong Association ◽  
Mathematics Problems ◽  
New Information ◽  
Learning Mathematics ◽  
Before And After ◽  
Mathematical Problems ◽  
Mathematical Relationships ◽  
Math Problems

Learning mathematics should be able to improve the abilityand creativity in learning mathematics, especially in solving mathematical problems. To improve theability of anappropriate learning need sand learning mathematical problem submissionis in accordance with the needs of students in facilitating the completion of (solution) of the mathematical problem significantly. To obtain data submission capability math problem students, the research for mulated the problemas follows: (a) How does the ability filing math problems before and after the learning seen from the stage before and during problem solving?,(b) How is the level of complexity of the questions asked of students according to the structure of language and mathematical relationships?, (c) how associations filing capability math problems with the ability of the settlement (solving) the mathematical problem?.To answer this problem conducted experimental research on mathematics semester students majoringin STKIP "Tapanuli Selatan" Padangsidimpuan. Results showed that (a) the ability of the student submission mathematical problemsseen from the stage before and during the settlement of problems inproblem-based learningis quite good, as shown by the large percentage of math questions that can be solved either with new information and without any new information. (b) Differences filing capabilities grade math problems and problem-based learning class conventional learningis significant. (c) the ability filing math problems with the ability of the settlement (solving) the strong association of students of mathematics problems.

Spatial Orientation Skill and Mathematical Problem Solving

1990 ◽  
Vol 21 (3) ◽  
pp. 216-229 ◽  
Author(s):  
Lindsay Anne Tartre
Keyword(s):  
Problem Solving ◽  
Spatial Orientation ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Individual Interviews ◽  
Mathematics Problems ◽  
Tenth Grade ◽  
Orientation Test

The purpose of this study was to explore the role of spatial orientation skill in the solution of mathematics problems. Fifty-seven tenth-grade students who scored high or low on a spatial orientation test were asked to solve mathematics problems in individual interviews. A group of specific behaviors was identified in geometric settings, which appeared to be manifestations of spatial orientation skill. Spatial orientation skill also appeared to be involved in understanding the problem and linking new problems to previous work in nongeometric settings.

scholarly journals Students’ Intuition in Solving Mathematics Problems: The Case of High Mathematics Ability and Gender Differences

2021 ◽  
Vol 13 (3) ◽  
pp. 2711-2724
Author(s):  
Nazariah Nazariah ◽  
Nailul Authary
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Equation System ◽  
Female Students ◽  
Mathematical Problem Solving ◽  
Male And Female ◽  
Mathematics Problems ◽  
Mathematics Ability ◽  
Mathematical Problems ◽  
High Level

Students are required to find their appropriate strategies to solve mathematics problems so that intuition is needed. Male and female students have different intuition on mathematical problem-solving. Thus, gender is influencing how to obtain mathematical knowledge. This descriptive qualitative study aimed to analize the intuition differences of male and female students who have high-level mathematical abilities at secondary school in solving mathematics problems. Data was collected through tests of mathematical problem-solving and interviews then analysed through data reduction, data presentation, and conclusion. This study found that: (1) There are differences in the characteristics of male and female intuition in mathematical problems solving, (2) The intuition of male and female in mathematical problems solving based on Polya's steps is different in re-checking the answers, (3) There are differences in intuition when students solve linear equation system problems. There are differences in intuition between male and female students with high matematical abilities in each material. Students with problem-solving abilities have affirmative intuition to understand problems, anticipatory intuition for problem-solving plans and solutions, and conclusive intuition to re-examine problems.

scholarly journals STUDENTS’ GROWING UNDERSTANDING IN SOLVING MATHEMATICS PROBLEMS BASED ON GENDER: ELABORATING FOLDING BACK

2021 ◽  
Vol 12 (3) ◽  
pp. 507-530
Author(s):  
Patmaniar Patmaniar ◽  
Siti Maghfirotun Amin ◽  
Raden Sulaiman
Keyword(s):  
High School Students ◽  
Mathematical Problem ◽  
Male Students ◽  
School Students ◽  
Mathematical Concepts ◽  
Explorative Study ◽  
Mathematics Problems ◽  
Mathematical Problems ◽  
Level Of Understanding ◽  
The Right

Students’ previous knowledge at a superficial level is reviewed when they solve mathematical problems. This action is imperative to strengthen their knowledge and provide the right information needed to solve the problems. Furthermore, Pirie and Kieren's theory stated that the act of returning to a previous level of understanding is called folding back. Therefore, this descriptive-explorative study examines high school students' levels of knowledge in solving mathematics problems using the folding back method. The sample consists of 33 students classified into male and female groups, each interviewed to determine the results of solving arithmetic problems based on gender. The results showed differences in the level of students' understanding in solving problems. Male students carried out the folding back process at the level of image having, formalizing, and structuring. Their female counterparts conducted it at image-making, property noticing, formalizing, and observing. Subsequently, both participants were able to carry out understanding activities, including explaining information from a mathematical problem, defining the concept, having an overview of a particular topic, identifying similarities and differences, abstracting mathematical concepts, and understanding its ideas in accordance with a given problem. This study suggested that Pirie and Kieren's theory can help teachers detect the features of students’ understanding in solving mathematical problems.

scholarly journals Students’ suspension of sense making in problem solving

ZDM ◽  
2021 ◽  
Author(s):  
Gemma Carotenuto ◽  
Pietro Di Martino ◽  
Marta Lemmi
Keyword(s):  
Problem Solving ◽  
Qualitative Study ◽  
Word Problem ◽  
Word Problems ◽  
Mathematical Problem ◽  
Critical Issue ◽  
Mathematical Problem Solving ◽  
Sense Making ◽  
Mathematical Problems

AbstractResearch on mathematical problem solving has a long tradition: retracing its fascinating story sheds light on its intricacies and, therefore, on its needs. When we analyze this impressive literature, a critical issue emerges clearly, namely, the presence of words and expressions having many and sometimes opposite meanings. Significant examples are the terms ‘realistic’ and ‘modeling’ associated with word problems in school. Understanding how these terms are used is important in research, because this issue relates to the design of several studies and to the interpretation of a large number of phenomena, such as the well-known phenomenon of students’ suspension of sense making when they solve mathematical problems. In order to deepen our understanding of this phenomenon, we describe a large empirical and qualitative study focused on the effects of variations in the presentation (text, picture, format) of word problems on students’ approaches to these problems. The results of our study show that the phenomenon of suspension of sense making is more precisely a phenomenon of activation of alternative kinds of sense making: the different kinds of active sense making appear to be strongly affected by the presentation of the word problem.

Teaching Personal Finance Mathematical Problem Solving to Individuals With Moderate Intellectual Disability

2016 ◽  
Vol 40 (1) ◽  
pp. 5-14 ◽  
Author(s):  
Jenny Root ◽  
Alicia Saunders ◽  
Fred Spooner ◽  
Chelsi Brosh
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Functional Relation ◽  
Personal Finance ◽  
Future Research ◽  
School Students ◽  
Problem Solving Skills ◽  
Mathematical Problems ◽  
Based Instruction ◽  
Multiple Probe

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.

scholarly journals Inconsistency Among Beliefs, Knowledge, and Teaching Practice in Mathematical Problem Solving: A Case Study of a Primary Teacher

2017 ◽  
Vol 7 (2) ◽  
pp. 27-40
Author(s):  
Tatag Yuli Eko Siswono ◽  
Ahmad Wachidul Kohar ◽  
Ika Kurniasari ◽  
Sugi Hartono
Keyword(s):  
Problem Solving ◽  
Teaching Practice ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Primary Teacher ◽  
Mathematical Problem Solving ◽  
Mathematics Problems ◽  
And Mathematics ◽  
Teacher's Beliefs

This is a case study investigating a primary teacher’s beliefs, knowledge, and teaching practice in mathematical problem solving. Data was collected through interview of one primary teacher regarding his beliefs on the nature of mathematics, mathematics teaching, and mathematics learning as well as knowledge about content and pedagogy of problem solving. His teaching practice was also observed which focused on the way he helped his students solve several different mathematics problems in class based on Polya’s problemsolving process: understand the problem, devising a plan, carrying out the plan, and looking back. Findings of this study point out that while the teacher’s beliefs, which are closely related to his problem solving view, are consistent with his knowledge of problem solving, there is a gap between such beliefs and knowledge around his teaching practice. The gap appeared primarily around the directive teaching which corresponds to instrumental view he held in most of Polya’s process during his teaching practice, which is not consistent with beliefs and knowledge he professed during the interview. Some possible causes related to several associate factors such as immediate classroom situation and teaching practice experience are discussed to explain such inconsistency. The results of this study are encouraging, however, further studies still need to be conducted.

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