Discovering mathematical knowledge by students as the way to successful learning of mathematics

2020 ◽  
pp. 317-332
Author(s):  
Anna Rybak
Keyword(s):  
Problem Solving ◽  
Mathematics Teaching ◽  
Theoretical Background ◽  
Mathematics Problem Solving ◽  
Whole Process ◽  
Learning Mathematics ◽  
Creative Learning ◽  
Set Up ◽  
The University

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

scholarly journals Interactive Multimedia Based Mathematics Problem Solving to Develop Students’ Reasoning

2019 ◽  
Author(s):  
Mohammad Faizal Amir
Keyword(s):  
Problem Solving ◽  
Interactive Video ◽  
Mathematical Reasoning ◽  
Design Development ◽  
Mathematics Problem Solving ◽  
Implementation Evaluation ◽  
Learning Mathematics ◽  
Innovative Learning ◽  
Information And Communication ◽  
Mathematics Problem

The progress of information and communication technology demands lecturer of mathematics to make innovative learning based on IT while focusing the main goal in learning mathematics, i.e to create students who are skilled in solving problems and have good mathematical reasoning. Therefore, an interactive mathematical development based on problem solving is required. The model is developed using ADDIE (Analysis, Design, Development, Implementation, Evaluation). The data is analyzed using both Quantitative (as the main data) and qualitative (as supporting data). The results showed that interactive mathematical multimedia significantly improved the students' mathematical reasoning in terms of analyzing data, proposing allegations, verifying, drawing conclusions, and examining the validity of arguments. Students' responsiveness and motivation to learn mathematics is also positive because multimedia has interactive video display and complete material, while students feel that the learning process is not limited by space and time.

scholarly journals The Role of Critical Thinking in Helping Students Cope with Problems

2020 ◽  
Vol 1 (2) ◽  
pp. 198-217
Author(s):  
Violla Makhzoum ◽  
Lama Komayha
Keyword(s):  
Higher Education ◽  
Critical Thinking ◽  
Problem Solving ◽  
Private Universities ◽  
Education Programs ◽  
Problem Solving Skills ◽  
American System ◽  
The Difference ◽  
The University

Purpose: This research study aims to address the role of higher education programs in developing students’ critical thinking and problem-solving skills, emphasizing on the importance of the university professors’ role in nurturing these skills through the means they use in the classroom. The research also aims to highlight the difference in developing these skills among students between universities that follow the Francophone system and universities that follow the American system. Approach/Methodology/Design: To achieve the goal of this research, a descriptive approach was adopted to test the validity of the research hypotheses which are based on correlations between research variables related to higher education programs and the skill of critical thinking. A questionnaire was employed to collect data from the sample, which consisted of four private universities, divided into two groups which are two private universities that follow the American system, and two private universities that follow the Francophone system. The sample consisted of 120 students from universities that follow the American system, and 132 students from universities that follow the Francophone system. The students were selected from the Faculty of Economics and Business Administration. Findings: It was found out that there are statistically significant differences between the students’ answers regarding the extent of their ability to possess the skills of critical thinking and problem-solving in concerning to the universities in which they study, and we have also found that there are statistically significant differences in the student’s acquisition of these skills between the programs of Francophone and American universities according to their demographic characteristics and majors. Practical Implications: The study will be of great use for concerned authorities, emphasizing on critical thinking and problem-solving skills. Originality/value: The findings revealed a significant correlation between university programs and critical thinking and problem solving skills.

scholarly journals Building Indicators by Consensus for Common Attributes

2018 ◽  
Author(s):  
Rania Al-Hammoud ◽  
Jason Grove ◽  
Andrew Milne ◽  
Mehrdad Pirnia ◽  
Derek Wright ◽  
...  
Keyword(s):  
Outcomes Assessment ◽  
Assessment Process ◽  
Graduate Attributes ◽  
Whole Process ◽  
New Process ◽  
Methods And Techniques ◽  
The Common ◽  
To Come ◽  
The University

 Abstract – To address the new process of graduate attributes (GAs) assessment as required by the Canadian Engineering Accreditation Board (CEAB), the University of Waterloo (UW) employed six Graduate Attributes Lecturers (GALs) and four Accreditation Assistants (AAs) with a key role of leading the outcomes assessment process in each of the engineering departments. The GALs work collaboratively with each other and their departments to come up with a process of outcomes assessment. The collaboration methods and techniques used by the GALs in developing shared indicators for the common GAs are proving to be highly effective, and have led to significant progress. One of these methods is a structured brainstorming sessions for developing measurable performance indicators for the common GAs. The following paper describes in detail the collaboration methods and techniques used by the GALs and AAs to develop shared indicators for the professional skills GAs. The paper also discusses the factors that proved to be successful in the whole process as well as the challenges faced by the team.  

scholarly journals Pengembangan Kemampuan Pemecahan Masalah Matematis melalui Habit of Thinking Interdependently

2020 ◽  
Vol 2 (1) ◽  
pp. 1
Author(s):  
Fevi Rahmadeni
Keyword(s):  
Problem Solving ◽  
Literature Review ◽  
Body Problem ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Mathematics Problem Solving ◽  
Learning Mathematics ◽  
Mathematics Problem ◽  
Development Of Students

Like the human body, problem solving is the heart of mathematics. Problem solving ability is a capital for students to develop and explore themselves further in mathematics learning. This article aim to explain the development of students' mathematical problem solving abilities through Habit of Thinking Interdependently (HTI). This type of research is literature review where the authors analyze and draw conclusions from several relevant references related to HTI. HTI the attitude of students towards learning mathematics in the form of the habit of thinking together in groups. The conclusions obtained indicate that students' mathematical problem solving abilities can be developed through HTI.

scholarly journals DEAF STUDENT AND MENTAL ACT IN MATHEMATICS PROBLEM SOLVING

2020 ◽  
Vol 2 (1) ◽  
pp. 100-110
Author(s):  
La Ode Amril ◽  
Darhim ◽  
Dadang Juandi
Keyword(s):  
Problem Solving ◽  
Solution Method ◽  
Deaf Students ◽  
Special Schools ◽  
Design Data ◽  
Mathematics Problem Solving ◽  
Learning Mathematics ◽  
Mathematical Problems ◽  
Mathematics Problem

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.

scholarly journals Dansk Sociologis rolle i dansk sociologi – vidensdeling og inspiration gennem 25 år

2014 ◽  
Vol 25 (3) ◽  
pp. 9-41
Author(s):  
Kristoffer Kropp ◽  
Gry Malling Loehr ◽  
Heine Andersen
Keyword(s):  
Open Access ◽  
Sociology Department ◽  
25Th Anniversary ◽  
Internet Media ◽  
Organizational Framework ◽  
Set Up ◽  
The University

Artiklen skildrer historien om Dansk Sociologi fra etableringen i 1989-1990 til jubilæumsåret 2014. Initiativet blev taget af Dansk Sociologforening under den institutionelle krise i faget, der kulminerede da undervisningsminister Bertel Haarder besluttede at lukke uddannelsen. Tidsskriftet har været benyttet som publiceringskanal af en meget stor andel af danske sociologer og oplagstal har været stigende frem til omkring 2006. De seneste 10-15 år har man kunnet se et skift i indholdsprofilen, fra en dominans af teoretisk orienterede emner over mod en bred vifte af empiriske emner og en tilpasning til en mainstream akademisk, upersonlig form. Dansk Sociologi er et udpræget pluralistisk tidsskrift og kontroverser mellem forskellige teoretiske retninger eller om specifikke spørgsmål har man ikke set. Artiklen drøfter også fremtidige udfordringer som især er internationalisering, de nye digitale medier og krav om open access. ENGELSK ABSTRACT: Kristoffer Kropp, Gry Malling Loehr and Heine Andersen: The Role of Dansk Sociologi in the Development of Danish Sociology. Dissemination of Knowledge and Inspiration for 25 years This article describes and evaluates the journal Dansk Sociologi (Danish Sociology) from its inception in 1989-1990 until its 25th anniversary in 2014. The Danish Sociological Association took the initiative to set up the journal during sociology’s institutional crisis due to fact that the Minister of Education had decided to close the sociology department at the University of Copenhagen, the only place in Denmark with the discipline. The article discusses the evolution of the journal’s organizational framework, its authors, editors, and content. The journal has been used as a vehicle for publication by a large proportion of Danish sociologists. Subscriptions have been growing until 2006. There has been a shift from theoretical articles to a wider range of empirical ones, and from a more discussion-based form to a more detached and standardized academic one. There has been considerable pluralism, and there have been no major controversies. The challenges that the journal must address are an internationalization pressure that could weaken authors’ incentives to write for a Danish journal, the transition to internet media, and finally requirements for open access that could threaten the journal’s economy. Keywords: the journal Dansk Sociologi, the Danish Sociological Association, sociology’s history.

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