scholarly journals FUTURE TEACHERS’ STUDYING THE SCIENTIFIC LANGUAGE OF PHYSICS AND MATHEMATICS: PROBLEMS AND PROSPECTS

2021 ◽  
pp. 209-216
Author(s):  
Георгий Евгеньевич Чекмарев ◽  
Светлана Олеговна Фоминых
Keyword(s):  
Mathematical Problem ◽  
Subject Area ◽  
Scientific Language ◽  
Mathematical Language ◽  
Future Teachers ◽  
University Mathematics ◽  
Mathematics Problems ◽  
Physical Problems ◽  
And Mathematics ◽  
Mathematics And Physics

Математический язык является основой таких дисциплин, преподаваемых в вузах, как математика и физика. Особое внимание следует обратить на подготовку будущих учителей математики и физики. Как показывает практика, в процессе подготовки студентов по обозначенным специальностям большинство трудностей связано именно с обеспечением надлежащих условий по усвоению учащимися языка предметной области. Настоящее исследование обращено к общетеоретическому и практическому раскрытию проблемы практического перевода задач на язык математической теории и, напротив, проведение обратного перевода. Статья также посвящена особенностям овладения технологиями прочного усвоения математического языка студентами, что должно стать залогом достижения конкретных практических результатов в будущей педагогической деятельности. Студент должен не только овладеть навыком решения математических и физических задач, но и уметь объяснять подробности их решения на математическом языке и раскрывать учащимся особенности построения математической задачи как на языке предметной лексики, так и при помощи стандартных формулировок, лексики и синтаксиса. В рамках исследования было проведено анкетирование, направленное на определение уровня владения математическим языком среди студентов первого и последнего курса, проходящих обучение по направлению подготовки «Педагогическое образование», с целью разработки системы упражнений, направленных на облегчение процесса усвоения математического языка. The mathematical language is the basis of university mathematics and physics. Special attention is to paid when training future teachers of mathematics and physics. As practice shows, in the process of preparing students for the considered specialties, most difficulties are associated precisely with the provision of appropriate conditions for the assimilation of the language of the subject area by students. The present study is to consider theoretical and practical aspects of the problem of practical interpretation of problems into the language of mathematical theory and vice versa. The article is also devoted to the peculiarities of mastering solid assimilation of the mathematical language by students, which should be the key to achieving specific practical results in future pedagogical activities. Since the student must not only master the skill of solving mathematical and physical problems, but also be able to explain the details of the solution in mathematical language and reveal to pupils the peculiarities of making a mathematical problem, both in the language of subject vocabulary and using standard phrases, vocabulary and syntax. As part of the study, a questionnaire was conducted to determine the level of proficiency in the mathematical language among first and last year “Pedagogical Education” training program students in order to develop a system of exercises aimed at facilitating the process of mastering the mathematical language.

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.

scholarly journals The Framing of a Problem through Gaming (Mathematics-STEM) Subject Content Areas

2019 ◽  
Vol 10 (08) ◽  
pp. 20215-20223
Author(s):  
Charletta H. Barringer-Brown, Ph.D.
Keyword(s):  
Social Economic ◽  
Nonlinear Approximation ◽  
Mathematical Problem ◽  
Limited Area ◽  
Content Areas ◽  
The Past ◽  
Physical Problems ◽  
Area Of Interest ◽  
The Social ◽  
And Mathematics

According to Demeter (2015) over the past fourty years, scientists, engineers, philosophers, and psychologists have been concerned with the infinite number of social, economic, and  physical issues that exist and that cannot be dealt with in isolation. As agruged                                                                                                                                                                                                                                                                                                                                                                                                                                                  by Wong, Luo, and Fong  (2019) it has been found through experiments and piloting techniques that the existing traditional methods and knowledge is not suited into coping and addressing the unique and sophisticated situations. In the process of searching and coming up with techniques such the use of Bernoulli’s principle for aerodynamics and aviation, perturbation techniques, and the nonlinear approximation methods, it was discovered that physics, chemistry, and mathematics brings out a limited area of interest and therefore can only offer solutions to problems in narrow perspectives. For example, the aforementioned disciplines majorly concentrated on a particular subject of interest and use limited principles towards solving the identified problem, that is to say, a significant number of assumptions are brought into play in order to help in arriving at the intended destinations. Notably, the techniques applied in solving scientific problems do not regard competing frameworks and this contributed to their limited nature in solving social and physical problems. As suggested by Leaver,Willson, and Torres (2016) it is against this backdrop that, framing of a problem through gaming techniques in subject content areas is being encouraged since it involves competing frameworks and consequently works to reduce the number of assumptions plunged in the process of solving mathematical problem. Gaming techniques entails the combination of various techniques that can deal with adversities, uncertainty, unique, and sophisticated situations in the field of science. Fundamentally, framing of a problem through gaming tricks provides an advantage of combining the social-human with economic, technological, and physical domains. The outcome associated with the gaming technique is scientific improvements and increased applications of the available knowledge and information (Wong, Luo, and Fong, 2019).

scholarly journals SOME ASPECTS OF FORMATION OF PROFESSIONAL COMPETENCE AT FUTURE TEACHERS OF PHYSICS

2021 ◽  
pp. 232-239
Author(s):  
Светлана Олеговна Фоминых ◽  
Татьяна Александровна Петрушкина
Keyword(s):  
Empirical Study ◽  
Professional Competence ◽  
Subject Area ◽  
Future Teachers ◽  
Subject Knowledge ◽  
Physics Teacher ◽  
Key Features ◽  
And Mathematics ◽  
Successful Transfer

Профессиональная компетентность учителя физики является основой для успешной передачи предметных знаний учащимся вне зависимости от избранной формы преподавания. Всесторонняя осведомленность в данной предметной области позволит учителю самостоятельно решать разнообразные задачи, разрабатывать и применять методические приемы исходя из возникшей дидактической ситуации и особенностей учащихся. В настоящей статье был проанализирован процесс формирования профессиональной компетентности будущего учителя физики с целью определения его ключевых особенностей, условий, способствующих его ускорению, а также возможных трудностей, с которыми может столкнуться практикующий специалист, стремящийся повысить собственную компетентность в области преподаваемой дисциплины. С учетом вышесказанного в статье приведена характеристика структуры профессиональной компетентности учителя физики. С этой целью в статье были представлены краткие результаты эмпирического исследования, проведенного среди студентов физико-математического факультета, направленного на определение степени сформированности профессиональной компетнтности. Заключительные выводы содержат описание уровневой характеристики профессиональной компетентности будущего учителя физики. Таким образом, профессиональная компетентность будущего учителя физики есть интегрированная способность личности педагога-физика. Professional competence of a Physics teacher is the basis for the successful transfer of subject knowledge to students regardless of the chosen form of teaching. Comprehensive awareness in this subject area will allow the teacher to independently solve various problems, develop and apply methodological techniques based on the didactic situation that has arisen and the characteristics of the students. In this article, the process of formation of professional competence of a future Physics teacher was analyzed in order to determine its key features, conditions contributing to its acceleration, as well as possible difficulties that a practicing specialist who seeks to improve his own competence in the field of the taught discipline may face. Taking into account the above, the article presents the characteristics of the structure of the professional competence of a Physics teacher. For this purpose, the article presents brief results of an empirical study conducted among students of the Faculty of Physics and Mathematics, aimed at determining the degree of formation of professional competence. The final conclusions contain a description of the level characteristics of the professional competence of a future Physics teacher. Thus, the professional competence of a future Physics teacher is an integrated ability of the teacher’s personality.

scholarly journals Analysis of Rural-Based Pre-Service Teachers Spatial-Visualisation Skills in Problem Solving in Vector Calculus Using MATLAB

2021 ◽  
Vol 16 (10) ◽  
pp. 125
Author(s):  
Godfred Amevor ◽  
Anass Bayaga ◽  
Michael J. Bosse
Keyword(s):  
Problem Solving ◽  
South African ◽  
Mathematical Problem ◽  
Interdisciplinary Studies ◽  
Problem Solving Skills ◽  
Vector Calculus ◽  
Rural Settings ◽  
Second Year ◽  
And Mathematics ◽  
Method Approach

In science, technology, engineering and mathematics (STEM) for instance, interdisciplinary studies have noted positive correlation between spatial-visualization (SV skills) and mathematical problem solving. The majority of these studies sharing a link between SV skills and problem solving were contextualized in urban settings and only a few in rural settings. This investigation analyses how rural-based pre-service teachers apply their SV skills in problem-solving in a South African university, in the context of vector calculus. One hundred rural-based pre-service teachers in a second year vector calculus class at University of Zululand (UNIZULU) were randomly selected into control and experimental groups. MATLAB was used as a dynamic visual tool to analyse how research participants applied their SV skills. A mixed method approach was employed in data collection (quantitative and qualitative). Our findings revealed that the rural-based pre-service teachers’ SV skills correlate with their problem-solving skills in vector calculus.

scholarly journals Keterampilan Berfikir Siswa SMP dalam Menyelesaikan Soal Matematika Ditinjau dari Kemampuan Number Sense

2019 ◽  
Vol 6 (1) ◽  
pp. 29-40 ◽  
Author(s):  
Lilik Setyaningsih ◽  
Arta Ekayanti
Keyword(s):  
Junior High School ◽  
Number Sense ◽  
Higher Order Thinking ◽  
Thinking Skills ◽  
Thinking Skill ◽  
Ability Test ◽  
Mathematics Problems ◽  
Qualitative Descriptive ◽  
And Mathematics ◽  
Mathematics Problem

This research aimed to describe the students’ thinking skills of each number sense category in solving mathematics problems. This study used a qualitative descriptive approach and involved one class of Year 7 students in one of junior high school in Ponorogo, Indonesia. Data collection involved test and non-test. The instruments were number sense ability test and mathematics problems including six cognitive categories. Data analysis included collecting data, reducing data, analyzing data and drawing conclusions. The results showed that students who had low number sense ability were classified as Lower Order Thinking Skill (LOTS) level. In this category, students can only solve mathematics problem involving remembering and understanding categories. While the students with medium number sense ability also identified at LOTS level. In this category, students can only solve the problem involving applying category. Furthermore, the students who had a high number sense ability were classified as Higher Order Thinking Skill (HOTS) level. In this category, students can solve the mathematics problem involving analyzing) and evaluating categories.

scholarly journals IMPROVEMENT OF MATHEMATICAL PROBLEM SOLVING ABILITIES USING MISSOURI MATHEMATICS PROJECT LEARNING MODEL

2019 ◽  
Vol 7 (1) ◽  
pp. 1539-1549
Author(s):  
Joy Frandero Yoni Astra Pasaribu ◽  
Louise M Saija
Keyword(s):  
Problem Solving ◽  
Small Group ◽  
Mathematical Problem ◽  
Learning Model ◽  
Mathematical Problem Solving ◽  
Mathematics Problems ◽  
Life Problems ◽  
Significant Difference ◽  
Questionnaire Result ◽  
Problem Solve

Introduction: Mathematical problem solving ability is very important in mathematic learning, because is can help students to solve daily life problems better. But the students mathematical problem solve ability is not high yet, one of the factor is because many students only know the standard procedures of solving mathematics problems, and when the given problem are different from the examples they tend to give up easily. This comparative design study aims to find out the improvement of students mathematical problem solving ability using Missouri Mathematics Project (MMP) learning model with individual assignments and small group assignments, and to find out whether there are differences between those two. Method: The sample in this study was VII grade students at SMP Advent Cimindi and SMP Advent II Bandung, Bandung. The instruments used in the study are mathematical problem solving test and questionnaire for response toward the Missouri Mathematics Project (MMP) learning model as the non-test instrument. Result: The results showed that the improvement of mathematical problem solving abilities of students who obtained the Missouri Mathematics Project (MMP) learning model with individual assignments and students who obtained the Missouri Mathematics Project (MMP) learning model by assigning small groups was categorized as high. Statistically, there is a significant difference in the students mathematical problem solving improvement after being taught using Missouri Mathematics Project (MMP) learning model, between students who get individual assignments and small group assignments. The response questionnaire result shows that students who acquire individual assignments like the Missouri Mathematics Project (MMP) learning model, more further the students who acquire group assignments really like the Missouri Mathematics Project (MMP) learning model.

A Study of Planning and Mathematics Instruction for Students with Learning Disabilities

1995 ◽  
Vol 76 (3_suppl) ◽  
pp. 1343-1354 ◽  
Author(s):  
Jack A. Naglieri ◽  
Suzanne H. Gottling
Keyword(s):  
Learning Disabilities ◽  
Cognitive Strategies ◽  
Assessment System ◽  
Students With Learning Disabilities ◽  
Mathematics Scores ◽  
Self Reflection ◽  
Mathematics Problems ◽  
Cognitive Education ◽  
And Mathematics ◽  
Mathematical Computation

The purpose of this study was to extend research in training the use of cognitive strategies or planning to mathematical computation for 4 students with specific learning disabilities. A cognitive education method utilized in previous research was duplicated. It was expected that students would find the instruction differentially effective based upon their initial scores on a measure of planning. Using the Planning, Attention, Simultaneous, Successive model as a base, a cognitive instruction which facilitated planning was provided to two students with low scores on planning, obtained using an experimental version of the Das-Naglieri Cognitive Assessment System, and two students with average planning scores. All students completed three sessions of baseline and seven sessions of cognitive instruction in addition and multiplication. During the cognitive instruction phase, 5-min. sessions of self-reflection and verbalization of strategies about the mathematics problems were conducted after each initial 10-min. session of mathematics. Scores on addition problems showed that all students improved. On multiplication, however, 2 students with low planning scores improved considerably but not 2 with higher planning scores. Implications are provided.

Special Education Teachers’ Perceptions of Students’ With Disabilities Ability, Instructional Needs, and Difficulties Using Visual Representations to Solve Mathematics Problems

2018 ◽  
Vol 42 (2) ◽  
pp. 175-188
Author(s):  
Delinda van Garderen ◽  
Amy Scheuermann ◽  
Apryl L. Poch
Keyword(s):  
Special Education ◽  
Students With Disabilities ◽  
Special Education Teachers ◽  
Mathematical Problem ◽  
Visual Representations ◽  
Training And Development ◽  
Teachers Perceptions ◽  
Mathematics Problems ◽  
Perceptions Of Students ◽  
Instructional Needs

In this article, we present findings that examined special education teachers’ perception of students’ with disabilities ability, instructional needs, and difficulties for using visual representations (VRs) as a strategy to solve mathematics problems. In addition, whether these perceptions differed by instructional grade or setting currently teaching was examined. Survey data from 97 in-service teachers revealed, regardless of instructional setting or grade level taught, that they believe students with disabilities have the ability to learn about and use VRs and need to be taught to use VRs. Furthermore, the special education teachers perceived students with disabilities to have difficulty with all aspects related to using VRs in mathematical problem-solving. Implications for teacher training and development are provided.

Sign in / Sign up

Export Citation Format

Share Document