scholarly journals Teaching Mathematics Based on Graphic Management in Problem Solving Topics

2022 ◽  
Vol 7 (1) ◽  
pp. 352-366
Author(s):  
Dharshini Gunasegar ◽  
Siti Mistima Maat
Keyword(s):  
Problem Solving ◽  
Study Participant ◽  
Deep Understanding ◽  
Structured Interview ◽  
Research Approach ◽  
Mathematics Proficiency ◽  
Mathematics Problems ◽  
Four Corners ◽  
Mathematical Problems ◽  
Management Students

Problem solving is a very important skill in mathematics that students need to master. These skills require logical thinking, deep understanding, mastery of concepts and making connections with existing knowledge. This study aimed to determine the effectiveness of graphic management -based mathematics teaching in problem-solving topics. This study uses a qualitative research approach with a case study design involving one study participant. Participants of the study were randomly selected among year 3 students with a moderate level of Mathematics proficiency. To collect data, graphic management of “Four Corners and A Diamond” and semi -structured interview sessions were conducted. Data collection from graphics management was analyzed descriptively and these interviews were analyzed inductively to obtain specific themes based on the transcripts. Findings of the study show that with this graphic management, students can organize information from questions in the form of appropriate graphics and facilitate their understanding. The implication of this study is that students can solve mathematical problems through the arrangement of information correctly based on the graphic management of "Four Corners and A Diamond". This study can also encourage teachers to use graphic management in helping students to solve non-routine mathematics problems more conceptually.

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.

scholarly journals STUDENT – FUTURE TEACHERSʼ ATTITUDE ON THE DEVELOPMENT OF MATHEMATICAL LITERACY IN PRIMARY EDUCATION

2020 ◽  
Author(s):  
Mariana Zeljić ◽  
◽  
Milana Dabić Boričić ◽  
Keyword(s):  
Teacher Education ◽  
Problem Solving ◽  
Conceptual Understanding ◽  
Structured Interview ◽  
Logical Thinking ◽  
Mathematical Language ◽  
Mathematical Literacy ◽  
Teachers Beliefs ◽  
Mathematical Problems ◽  
Teacher Education Faculty

Although many studies investigate mathematical literacy, there is no consensus on the meaning of the term. The aim of this study is to investigate the concept of mathematical literacy of future teachers. The data are collected by semi-structured interview with thirteen Teacher Education Faculty students. The concept of mathematical literacy can be placed in four categories: 1) the knowledge and ability to communicate in mathematical language; 2) the conceptual understanding of concepts, contents and procedures; 3) the application of mathematics in everyday life; 4) the use of mathematical-logical thinking and problem solving. All interviewed students highlighted the students’ ability to formulate, represent and solve mathematical problems as well as the precise and correct use of symbolical mathematical language as a very important competence for mathematical literacy, while almost half of the interviewed excluded the students’ ability to see mathematics as a useful subject as an important competence. The teachers’ beliefs and knowledge significantly impact students’ development of mathematical literacy. Hence it is important to provide the conditions in which the teachers will be able to understand the concept and develop a richer conception of mathematical literacy.

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 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 The Profile of Students’ Thinking in Solving Mathematics Problems Based on Adversity Quotient

2016 ◽  
Vol 1 (1) ◽  
pp. 36-48 ◽  
Author(s):  
Christina Kartika Sari ◽  
Sutopo Sutopo ◽  
Dyah Ratri Aryuna
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Planning Problem ◽  
School Students ◽  
Mathematics Problems ◽  
Mathematical Problems ◽  
Qualitative Descriptive ◽  
Thinking Processes ◽  
C Assimilation ◽  
Descriptive Method

The purpose of this research was to know the thinking processes of climber, camper, and quitter high school students in solving mathematical problems. This research used a qualitative descriptive method. Subjects were determined by purposive sampling. The technique of collecting data was done by task-based interviews. Based on the results of data analysis it can be concluded that: (1) the profiles of climber’s thinking processes are: (a) assimilation and abstraction  in understanding problems, (b) assimilation, accommodation, and abstraction in planning problem solving (c) assimilation, accommodation, and abstraction in implementing the plan of problem solving, and  (d) accommodation in checking the solution; (2) the profiles of camper’s thinking processes are: (a) assimilation in understanding mathematical problems, (b) assimilation, accommodation, and abstraction in planning problem solving, (c) abstraction in implementing the plan of problem solving, and (d) assimilation in checking the solution; (3) the profiles of quitter’s thinking processes are: (a) assimilation and abstraction in understanding problems, (b) assimilation, accommodation, and abstraction in planning problem solving, (c) assimilation, accommodation, and abstraction in implementing the plan of problem solving, and (d) assimilation in checking the solution.

scholarly journals Thematic problem solving: a case study on an approach to teaching problem solving in undergraduate mathematics

2019 ◽  
Vol 17 (2) ◽  
pp. 54
Author(s):  
Matthew Jones ◽  
Alison Megeney
Keyword(s):  
Problem Solving ◽  
Deep Understanding ◽  
Realistic Mathematics Education ◽  
Undergraduate Mathematics ◽  
Realistic Mathematics ◽  
Mathematical Problems ◽  
Approach To Teaching ◽  
Standard Practices ◽  
Teaching Problem

Specialist mathematics, statistics and operational research (MSOR) programmes are recognised as intellectually demanding, and require students to formulate, abstract, and solve mathematical problems in a rigorous way. The process of developing the skills to do this well and communicate results can be challenging for learners as it requires a deep understanding of themes in mathematics as well as methods for solving problems. In this article we demonstrate how elements of Freudenthal’s Realistic Mathematics Education can be applied to teaching problem solving in undergraduate mathematics programmes. We describe an approach that moves away from standard practices and goes beyond problem solving methods to develop an understanding of common themes in mathematics.

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.

scholarly journals Thinking Process of Naive Problem Solvers to Solve Mathematical Problems

2016 ◽  
Vol 10 (1) ◽  
pp. 1 ◽  
Author(s):  
Jackson Pasini Mairing
Keyword(s):  
Problem Solving ◽  
Procedural Knowledge ◽  
Mental Image ◽  
Research Subjects ◽  
Maximum Score ◽  
Mathematical Problems ◽  
Problem Solving Strategies ◽  
Thinking Process ◽  
Problem Solvers ◽  
Holistic Rubric

Solving problem is not only a goal of mathematical learning. Students acquire ways of thinking, habits of persistence and curiosity, and confidence in unfamiliar situations by learning to solve problems. In fact, there were students who had difficulty in solving problems. The students were naive problem solvers. This research aimed to describe the thinking process of naive problem solvers based on heuristic of Polya. The researcher gave two problems to students at grade XI from one of high schools in Palangka Raya, Indonesia. The research subjects were two students with problem solving scores of 0 or 1 for both problems (naive problem solvers). The score was determined by using a holistic rubric with maximum score of 4. Each subject was interviewed by the researcher separately based on the subject’s solution. The results showed that the naive problem solvers read the problems for several times in order to understand them. The naive problem solvers could determine the known and the unknown if they were written in the problems. However, they faced difficulties when the information in the problems should be processed in their mindsto construct a mental image. The naive problem solvers were also failed to make an appropriate plan because they did not have a problem solving schema. The schema was constructed by the understanding of the problems, conceptual and procedural knowledge of the relevant concepts, knowledge of problem solving strategies, and previous experiences in solving isomorphic problems.

Internal auditing and assurance of corporate social responsibility reports and disclosures: perspectives of some internal auditors in Ghana

2016 ◽  
Vol 12 (4) ◽  
pp. 706-718 ◽  
Author(s):  
Samuel Nana Yaw Simpson ◽  
Francis Aboagye-Otchere ◽  
Ruby Lovi
Keyword(s):  
Corporate Social Responsibility ◽  
Social Responsibility ◽  
Internal Audit ◽  
Structured Interview ◽  
Research Approach ◽  
Limited Information ◽  
Content Type ◽  
Internal Auditors ◽  
Changing Roles ◽  
Corporate Social

Purpose This study aims to examine the nature and extent of internal auditors’ (IAs) involvement in corporate social responsibility (CSR) assurance. It also ascertains the capacity building requirements to legitimise the role of IAs as a credible form of providing CSR assurance. Design/methodology/approach A qualitative research approach was adopted, where data were collected through semi-structured interview of IAs of companies in Ghana that produce CSR reports. Findings Findings suggest that companies appreciate the fact that the internal audit function could provide independent assurance on CSR reports. However, there is limited information on the nature and scope of the assurance procedures. Moreover, most IAs seem to lack the requisite knowledge and skills needed to effectively carry out CSR assurance engagements. These evidences suggest a relatively low level of reliance being placed on CSR assurance services provided internally. Research limitations/implications Findings are purely based on the perceptions of IAs. Future studies may include the views of those who appoint IAs (i.e. management). Practical implications Findings engender discussions on the need for IAs and regulators of IAs (e.g. the Institute of Internal Auditors), particularly those in developing countries to begin to conscientise practitioners on the changing roles of the IA in the areas of CSR and CSR assurance. Originality/value This study is one of the very few studies on CSR assurance from the perspective of IAs and it also based on evidence from an African context. Also, the study provides evidence on the need for a deliberate effort to equip internal audit practitioners to provide at least some minimal assurance on CSR disclosures and reports.

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