scholarly journals Mathematical Modelling from the Instrumentation of Improper Integrals

2021 ◽  
Author(s):  
Enrique Mateus-Nieves ◽  
Hernández Montañez Wilfaver
Keyword(s):  
Mathematical Modelling ◽  
Engineering Students ◽  
Mathematical Thinking ◽  
Thinking Skills ◽  
Specific Situation ◽  
Advanced Mathematical Thinking ◽  
Problem Situations ◽  
Dynamic Resource ◽  
Improper Integrals ◽  
Everyday Problem

Background: There is little clarity in the application of content related to improper integrals in university students, due to the absence of meaning, which prevents them from making a connection with everyday problem situations. Methods: we designed a mathematical modelling proposal where a specific situation involving the instrumentation, use and application of this type of integrals is experimented and solved with a population of engineering students, who learn to use them. Results: The importance of using mathematical modelling as a didactic-dynamic resource is highlighted because it helps students to reach an understanding of real situations involving improper integrals in different contexts. Conclusions: Despite the numerous errors detected in the students, this strategy made it possible to demonstrate the development of advanced mathematical thinking skills in young people.

scholarly journals Advanced Mathematic Thinking Ability Based on The Level of Student's Self-Trust in Learning Mathematic Discrete

2020 ◽  
Vol 10 (2) ◽  
pp. 12
Author(s):  
Yemi Kuswardi ◽  
Budi Usodo ◽  
Sutopo Sutopo ◽  
Henny Ekana Chrisnawati ◽  
Farida Nurhasanah
Keyword(s):  
Mathematics Education ◽  
Mathematical Thinking ◽  
Mathematics Learning ◽  
Thinking Skills ◽  
Discrete Mathematics ◽  
Mathematical Representation ◽  
Advanced Mathematical Thinking ◽  
Self Confidence ◽  
Thinking Ability ◽  
Thinking Processes

<p class="BodyAbstract">Mathematical thinking and self-confidence are indispensable aspects of learning mathematics and are influential in solving mathematical problems. In higher education mathematics learning, advanced mathematical thinking skills are required (Advance Mathematical Thinking. Advanced mathematical thinking processes include: 1) mathematical representation, 2) mathematical abstraction, 3) connecting mathematical representation and abstraction, 4) creative thinking, and 5) mathematical proof. Discrete mathematics is one of the courses in mathematics education FKIP UNS. The problems in Discrete Mathematics courses are usually presented in the form of contextual problems. Students often experience difficulties in making mathematical expressions and mathematical abstractions from these contextual problems. In addition, students also experience difficulties in bookkeeping. Most students often prove by using examples of some real problems. Even though proof in mathematics can be obtained by deductive thinking processes or inductive thinking processes, the truth is that mathematics cannot only come from the general assumption of inductive thinking. Based on this, a qualitative descriptive study was carried out which aims to determine the advanced mathematical thinking skills based on the level of student self-confidence. Research with the research subjects of FKIP UNS Mathematics Education Students in Discrete Mathematics learning for the 2019/2020 school year gave general results that the student's ability in advanced mathematical thinking was strongly influenced by the level of student confidence in learning. The higher the student's self-confidence level, the better the student's advanced mathematical thinking ability, so that high self-confidence has a great chance of being successful in solving math problems.</p>

scholarly journals MENINGKATKAN KEMAMPUAN ADVANCED MATHEMATICAL THINKING DAN HABITS OF MIND MAHASISWA MELALUI PENDEKATAN KETERAMPILAN METAKOGNITIF

2017 ◽  
Vol 3 (2) ◽  
pp. 177
Author(s):  
Masta Hutajulu ◽  
Eva Dwi Minarti
Keyword(s):  
Mathematical Thinking ◽  
Thinking Skills ◽  
Habits Of Mind ◽  
Metacognitive Skills ◽  
Metacognitive Skill ◽  
Advanced Mathematical Thinking ◽  
Education Students ◽  
And Mathematics ◽  
Mathematical Definitions ◽  
The Mind

ABSTRACTThis research is conducted as a preliminary study that aims to determine the achievement and improvement of advanced mathematical thinking skills of students. In college, mathematics is generally more difficult and complex than ever. This is because the material given is more abstract. Therefore, mathematics and mathematics education students are expected to construct mathematical definitions/concepts independently, to prove logically, and to further develop their mathematical abilities. In fact, the learning process in the classroom does not improve the ability of mathematical thinking and even tends not to awaken the habits of the mind of the student, hence to overcome the problem, this research is studied a learning approach, the metacognitive skill approach. This research is an experimental research with research instrument that used is test of advanced mathematical thinking ability of student and student habits of mind scale. This research was conducted on final year students who contracted real analysis courses at STKIP Siliwangi Bandung. Based on the results of the research, it is known that the achievement and improvement of advanced mathematical thinking skills of students who gain learning with metacognitive skills approach is better than those who get regular learning. In general, students who gain learning with a metacognitive skills approach habits of mind better on ordinary learning..Keywords: Advanced Mathematical Thinking, Habits of Mind, Metacognitive Skill Approach.

scholarly journals Using an inductive approach for definition making: Monotonicity and boundedness of sequences

Pythagoras ◽  
2009 ◽  
Vol 0 (70) ◽  
Author(s):  
Deonarain Brijlall ◽  
Aneshkumar Maharaj
Keyword(s):  
Mathematical Thinking ◽  
School Curriculum ◽  
Further Education ◽  
Teaching Model ◽  
Advanced Mathematical Thinking ◽  
Structured Design ◽  
Kwazulu Natal ◽  
Teaching Of Mathematics ◽  
The University ◽  
And Training

The study investigated fourth–year students’ construction of the definitions of monotonicity and boundedness of sequences, at the Edgewood Campus of the University of KwaZulu –Natal in South Africa. Structured worksheets based on a guided problem solving teaching model were used to help students to construct the twodefinitions. A group of twenty three undergraduateteacher trainees participated in the project. These students specialised in the teaching of mathematics in the Further Education and Training (FET) (Grades 10 to 12) school curriculum. This paper, specifically, reports on the investigation of students’ definition constructions based on a learnig theory within the context of advanced mathematical thinking and makes a contribution to an understanding of how these students constructed the two definitions. It was found that despite the intervention of a structured design, these definitions were partially or inadequately conceptualised by some students.

scholarly journals The Level of Critical and Analytical Thinking Skills among Electrical and Electronics Engineering Students, UKM

2012 ◽  
Vol 8 (16) ◽  
Author(s):  
Hafizah Husain ◽  
Siti Salasiah Mokri ◽  
Aini Hussain ◽  
Salina Abdul Samad ◽  
Rosadah Abd Majid
Keyword(s):  
Engineering Students ◽  
Thinking Skills ◽  
Analytical Thinking

scholarly journals The level of the skills of scientific thinking and mathematical thinking among the students of the primary stage: مستوى مهارات التفكير العلمي والتفكير الرياضي لدى طالبات المرحلة الإبتدائية

2017 ◽  
Vol 1 (3) ◽  
Author(s):  
Ilham Bent Ali Al Shalabi ◽  
Shatha bint Ahmed Al Khalifa
Keyword(s):  
School Environment ◽  
Mathematics Curriculum ◽  
Mathematical Thinking ◽  
Sixth Grade ◽  
Thinking Skills ◽  
Scientific Thinking ◽  
Primary Stage ◽  
Sixth Grade Students ◽  
Training Courses ◽  
And Mathematics

The purpose of this study was to know the level of scientific thinking skills and the level of mathematical thinking skills. Is there a correlation between the skills of scientific thinking and the mathematical thinking skills of sixth grade students? A study was used to measure the level of scientific and athletic thinking skills. The sample consisted of 455 sixth grade students The total number of female students was 29,680. The descriptive descriptive approach was used to find the relationship between the level of the skills of scientific thinking and mathematical thinking. The most important results of the study were that the level of scientific and sports thinking skills was medium And the level of skills of mathematical thinking, as the higher the level of scientific thinking skills, the higher the level of mathematical thinking skills among students in the sixth grade of primary The study presented several recommendations, the most important of which are the holding of training courses for teachers during the service to train them to employ thinking and skills and train teachers to design scientific positions and implants within the curriculum and address the weakness and lack of thinking skills that appear during teaching and the development of teachers Wu The most important proposals of the study are the study of the auxiliary aspects and the obstacles to the teaching of thinking in the school environment, the extent to which teachers are aware of the skills of thinking and whether they are integrated and taught through teaching, analysis of the content of science and mathematics curriculum developed for the primary stage to learn Availability of basic thinking skills in curricula.

scholarly journals TYPICAL CLASS METHODS FOR SOLVING EQUATIONS AND INEQUALITIES WITH DIFFERENT STRUCTURES

2021 ◽  
Vol 58 (3) ◽  
pp. 53-62
Author(s):  
A.K. Alpysov ◽  
◽  
A.K. Seytkhanova ◽  
I.Sh. Abishova ◽  
◽  
...  
Keyword(s):  
Problem Solving ◽  
Mathematical Thinking ◽  
Mathematical Concept ◽  
Thinking Skills ◽  
Practical Application ◽  
Mathematical Concepts ◽  
Theoretical Substantiation ◽  
New Methods ◽  
General Article ◽  
Solving Equations

The article discusses the ways of developing skills and abilities to effectively solve problems when describing methods for solving equations and inequalities, clarifying theoretical knowledge, the basics of forming skills for practical application. The formation of mathematical concepts through solving problems in teaching mathematics opens the way to the development of mathematical thinking, the application of knowledge in practice, and the development of search skills. To master a mathematical concept, along with its definition, it is necessary to know its features and properties. This can be achieved primarily through problem solving and exercise. Problem solving is based on the development of new methods, the creation of algorithms, ways of developing practical skills in the methods and techniques mastered with the help of tasks.In addition, transforming equations and inequalities through the development of thinking skills helps to identify common or special properties in order to draw correct conclusions. Solving various problems, it shows what operations should be used to determine the situation in which a solution was found, and what features of the solution allow choosing the most effective methods. Thanks to the theoretical substantiation of the general article, it is possible to master convenient methods for solving equations and inequalities of various structures.

scholarly journals PELATIHAN PENGEMBANGAN SOAL GEOMETRI LEVEL HIGHER-ORDER THINKING SKILL (HOTS) BAGI GURU SEKOLAH DASAR DI KOTA KUPANG

2019 ◽  
Vol 2 (01) ◽  
Author(s):  
Damianus D. Samo ◽  
Siprianus Suban Garak
Keyword(s):  
Elementary School Teachers ◽  
Mathematical Thinking ◽  
Higher Order Thinking ◽  
Thinking Skills ◽  
Higher Order ◽  
Thinking Skill ◽  
Mathematics Problems ◽  
Level Of Thinking ◽  
Geometric Content ◽  
And Training

Kebiasaan berpikir matematis khususnya pada level higher-order thinking skill (HOTS) merupakan sarana penting untuk mengembangkan gagasan secara terbuka dan divergen. Namun hal ini menjadi kendala karena para guru belum memiliki pemahaman yang komprehensif tentang HOTS serta bentuk instrument soal level HOTS. Permasalahan ini harus segera diatasi dengan memberikan pemahaman yang utuh tentang HOTS dan melatih mereka menyusun soal matematika level HOTS khususnya pada konten geometri.dalam bentuk kegiatan Pelatihan Pengembangan Soal Geometri Level HOTS. Sasaran kegiatan ini adalah guru SD Kota Kupang sebanyak 29 orang yang berlangsung di SDI Bertingkat Kelapa Lima 2 Kota Kupang. Metode kegiatan ini yakni ceramah, tanya jawab, diskusi dan presentasi. Setelah diberi pelatihan, guru dibimbing untuk membuat soal-soal level HOTS pada konten geometri yang akan digunakan dalam kegiatan pembelajaran maupun tes di kelas. Hasil yang diperoleh adalah 1) guru memiliki pemahaman yang sama tentang HOTS. Hasil pretest dan posttest menunjukkan adanya perubahan konsepsi tentang HOTS yang didefinisikan sebagai level berpikir analisis, kritis dan kreatif, 2) mampu mengembangkan keterampilan berpikir guru dalam menyusun instrumen soal level HOTS. 3) menumbuhkan komitmen mutu guru terhadap pengembangan kemampuan berpikir matematis siswa.Kata-kata kunci; geometri, higher-order thinking skillMathematical thinking habit, especially at the higher-order thinking skill (HOTS) level, is an important tool for developing ideas openly and diverging. But this is an problem because teachers do not have a comprehensive understanding of HOTS and the HOTS level questions yet. This problem must be solved immediately by providing a complete understanding of HOTS and training them to compile HOTS mathematics problems especially on geometry through the training of  developing HOTS Level Geometry questions. The subjects of this training were 29 elementary school teachers which took place at SDI Bertingkat Kelapa Lima 2 Kota Kupang. The method of this activity is discourse, question and answer, discussion and presentation. After being given training, the teacher is guided to make HOTS level questions on geometric content that will be used in learning and test activities in the classroom. The results obtained are 1) the teacher has the same understanding of HOTS. The results of the pretest and posttest showed a change in conceptions about HOTS which was defined as the level of thinking analysis, critical and creative, 2) able to develop teacher thinking skills in preparing HOTS level question instruments. 3) growing the teacher's quality commitment to the development of students' mathematical thinking skills.Keywords; geometry, higher-order thinking skill  

scholarly journals PENGARUH PEMBELAJARAN CAI-KONTEKSTUAL TERHADAP KEMAMPUAN BERPIKIR MATEMATIK DAN KARAKTER MAHASISWA

2017 ◽  
Vol 9 (1) ◽  
pp. 45
Author(s):  
Nanang Nanang
Keyword(s):  
Student Teacher ◽  
Mathematical Thinking ◽  
Thinking Skills ◽  
Contextual Learning ◽  
Test Method ◽  
Mathematics Students ◽  
Data Value ◽  
Academic Year ◽  
Initial Knowledge ◽  
Selection Of

The purpose of this study to determine the effect of CAI-Contextual learning of the ability to think mathematically and character of the student teacher participants of the course Capita Selecta Mathematical SMA. The population in this study is the fourth semester students of Mathematics Education STKIP Garut academic year 2015/2016. Selection of the sample by means of random sampling, the students obtained grade B as an experimental class and class A as the control class. Experimental class taught by CAI-Contextual learning, whereas the control class was taught by conventional learning. Retrieval of data obtained by the test method to get the data value of the initial knowledge of mathematics students and Mathematical Thinking Skills as well as the method of questionnaire to measure student character, and then analyzed with the average difference. The results showed that there are differences in the ability to think mathematically and character class students experiment with the control class. Since the average mathematical thinking skills and character students experimental class is bigger than the control class, it can be concluded that the CAI-Contextual learning positively affects the ability to think mathematically and character of the student teacher participants of the course Capita Selecta Mathematical SMA.

scholarly journals Value-added model of basic mathematics-physics training in engineering students

2021 ◽  
Vol 10 (12) ◽  
pp. 528-536
Author(s):  
Henry de Jesús Gallardo Pérez ◽  
Mawency Vergel Ortega ◽  
Marling Carolina Cordero Díaz
Keyword(s):  
Engineering Students ◽  
Mathematical Thinking ◽  
Educational Institution ◽  
Value Added ◽  
Secondary Data ◽  
Added Value ◽  
Primary Data ◽  
First Semester ◽  
Physics Courses ◽  
The University

The added value in education refers to the contribution that the educational institution effectively makes to student learning, expressed as the growth in knowledge, skills and abilities, in a period of time, as a result of their educational experience. The objective of the research is to determine the added value of the academic work of the Universidad Francisco de Paula Santander in the development of physical- mathematical thinking in engineering students and the estimation of a mathematical model that allows its valuation. In model allows analyzing the trajectory of the group of engineering students who entered in the first semester of 2018 and involves endogenous and exogenous variables associated with the process. The research is framed in the quantitative paradigm, descriptive, multivariate and correlational. We work with two types of data, the secondary data are constituted by the students’ grades in 2018 and 2019, this information may present biases because they are different courses with different teachers, however, it allows to see the evolution of students in calculus, statistics and physics courses. Primary data were obtained from a test applied in 2018 and a similar test applied in 2019, graded using item response theory. Results were compared and differences were evaluated to estimate the contribution effectively made by the university.   

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