scholarly journals Practice-oriented tasks as a means of teaching mathematics to cadets of fire-technical specialties

2021 ◽  
Vol 27 (3) ◽  
pp. 181-188
Author(s):  
Aleksandra S. Grebеnkina
Keyword(s):  
Professional Training ◽  
Mathematical Thinking ◽  
Mathematical Problem ◽  
Civil Protection ◽  
Mathematical Concepts ◽  
Mathematical Basis ◽  
Mathematical Skills ◽  
Emergency Situations ◽  
Service Activities ◽  
Mathematical Problems

The article is devoted to the problem of mathematical training of future fire safety engineers. In the process of training, cadets should have developed mathematical thinking, focused on the problems of civil protection. The basis for the formation of such thinking is the implementation of practice-oriented teaching of mathematics. Practice-oriented mathematical problems are an effective teaching tool. In the process of training specialists in fire-technical specialties, such tasks ensure the assimilation of mathematical concepts in the context of their interpretation in the professional field of activity of rescue engineers; creation of the mathematical basis necessary for studying the disciplines of the professional training cycle; development of the skill of constructing mathematical models of processes and phenomena in the field of protection of the population and territories. In this work, the author's definition of a practice-oriented mathematical problem is given, reflecting the real conditions of the service activities of specialists of the Ministry of Emergency Situations. Requirements for the content of such tasks for cadets of fire-technical specialties are formulated. A classification of practice-oriented tasks is proposed, taking into account the specifics of the future service activities of fire and technosphere safety engineers. Mathematical skills and abilities are indicated, the formation of which presents each type of problem, the corresponding practice-oriented mathematical skills necessary in the practical activities of civil protection specialists. Examples of tasks of all considered types are given.

The Interplay Between Mathematical and Computational Thinking in Primary School Students’ Mathematical Problem-Solving Within a Programming Environment

2021 ◽  
pp. 073563312097993
Author(s):  
Zhihao Cui ◽  
Oi-Lam Ng
Keyword(s):  
Problem Solving ◽  
Mathematical Thinking ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Computational Thinking ◽  
Programming Environment ◽  
Primary School Students ◽  
School Students ◽  
Mathematical Concepts ◽  
Block Based

In this paper, we explore the challenges experienced by a group of Primary 5 to 6 (age 12–14) students as they engaged in a series of problem-solving tasks through block-based programming. The challenges were analysed according to a taxonomy focusing on the presence of computational thinking (CT) elements in mathematics contexts: preparing problems, programming, create computational abstractions, as well as troubleshooting and debugging. Our results suggested that the challenges experienced by students were compounded by both having to learn the CT-based environment as well as to apply mathematical concepts and problem solving in that environment. Possible explanations for the observed challenges stemming from differences between CT and mathematical thinking are discussed in detail, along with suggestions towards improving the effectiveness of integrating CT into mathematics learning. This study provides evidence-based directions towards enriching mathematics education with computation.

Activites for Students: Dynamic Diagrams

2001 ◽  
Vol 94 (7) ◽  
pp. 566-574
Author(s):  
Elizabeth George Bremigan
Keyword(s):  
Mathematics Classroom ◽  
Mathematical Problem ◽  
Visual Representations ◽  
Mathematical Concept ◽  
Mathematics Textbooks ◽  
Mathematical Concepts ◽  
Mathematical Ideas ◽  
Mathematical Problems

Reasoning with visual representations is an important component in solving many mathematical problems and in understanding many mathematical concepts and procedures. Students at all levels of mathematics frequently encounter visual representations—for example, diagrams, figures, and graphs—in discussions of mathematical ideas, in mathematics textbooks, and on tests. Teachers often use visual representations in the classroom when they present a mathematical problem, explain a problem's solution, or illustrate a mathematical concept. Although they frequently encounter and use visual representations in the mathematics classroom, neither teachers nor students may explicitly recognize the power of reasoning with visual representations or the potential for misconceptions that can arise from their use.

scholarly journals “I am part of the group, the others listen to me”: theorising productive listening in mathematical group work

2021 ◽  
Author(s):  
Marie Sjöblom ◽  
Tamsin Meaney
Keyword(s):  
Problem Solving ◽  
Group Work ◽  
Design Research ◽  
Mathematics Classroom ◽  
Mathematical Thinking ◽  
Mathematical Problem ◽  
Sufficient Information ◽  
Educational Design ◽  
Mathematical Problems ◽  
Communication Frameworks

AbstractAlthough group work is considered beneficial for problem solving, the listening that is needed for jointly solving mathematical problems is under-researched. In this article, the usefulness of two communication frameworks for understanding students’ listening is examined, using data from an educational design research study in an upper secondary mathematics classroom in Sweden. From the analysis, it was apparent that these frameworks did not provide sufficient information about the complexity of listening in this context. Consequently, a new framework, “productive listening,” is described which focuses on observable features connected to students’ ability to show willingness to listen and to request listening from others. This framework included the purpose for listening, connected to problem-solving stages, and social aspects to do with respecting the speaker’s contribution as being valuable and feeling that one’s own contribution would be listened to. These two aspects are linked to socio-mathematical norms about expecting to listen to others’ mathematical thinking and to ask clarifying questions about this thinking. By using this framework on the data from the earlier study, it was possible to better understand the complexity of listening in group work about mathematical problem solving.

scholarly journals The Implementation of Mathematical Problem-Based Learning Model as an Effort to Understand the High School Students’ Mathematical Thinking Ability

2019 ◽  
Vol 12 (2) ◽  
pp. 117 ◽  
Author(s):  
Sriyanti Mustafa ◽  
Vernita Sari ◽  
Baharullah Baharullah
Keyword(s):  
High School ◽  
High School Students ◽  
Mathematical Thinking ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Learning Model ◽  
Assignment Test ◽  
School Students ◽  
Thinking Ability ◽  
Mathematical Problems

The ability to think mathematically includes many mental activities which involve the workings of the brain. To describe students’ mathematical thinking ability, one of the efforts that can be done is to apply the mathematical problem-based learning model. It involves students to solve a problem through scientific method stages, so that students can learn the knowledge related to the problem and also have the ability to solve the problem. This study aims to describe students’ mathematical thinking ability through Mathematical Problem-Based Learning Model.This type of research is qualitative. The subjects of the study were senior high school students in the city of Parepare. The data collections were conducted by observing the learning process in class and giving the assignment/test to the students. The collected data were then analyzed qualitatively. Based on the results of research and discussion it is concluded that the students ability to think have sequences in the activities of mathematical thinking with the application of mathematical problems-based learning model. Therefore, the students’ mathematical thinking ability is described as follows: (1) identification stage of the problem, (2) the grouping stages, and (3) drawing conclusions.

scholarly journals Students' Creative Thinking Skill in Solving Higher Order Thinking Skills (HOTS) Problems

2020 ◽  
Vol 11 (1) ◽  
pp. 111-120
Author(s):  
M Zaiyar ◽  
Irfan Rusmar
Keyword(s):  
Creative Thinking ◽  
Mathematical Thinking ◽  
Higher Order Thinking ◽  
Thinking Skills ◽  
Higher Order ◽  
Average Score ◽  
Mathematical Concepts ◽  
Higher Order Thinking Skills ◽  
Mathematical Problems ◽  
Thinking Processes

Creative thinking skills one of the important aspects that must be possessed by students' mathematical thinking skills to connect mathematical concepts as well as the development of thinking processes in solving mathematical problems. The purposes of this research are to determine the level of students' creative thinking skills in solving Higher-Order Thinking questions and to investigate the students' creative thinking skills in solving Higher Order Thinking Questions. This research employed the descriptive qualitative method with 28 students who have passed the Calculus subjects the samples of the research determined through nonprobability sampling. The data were collected through tests and interviews. The research discovered that the average score obtained was 38.43%, specifically35.71%of the students were at the very creative level, 50% of the students were at the creative level, and 14, 29% of the students were at the fairly creative level. Students' creative thinking skills were lacking in creativeness and detail indicators. They were not able to solve problems properly and correctly. The fluency and flexibility indicators were in a good category. So, it can be concluded that the level of students’ creative-thinking skills in solving the Higher-Order Thinking Skills problems was at the creative level. 

scholarly journals POLYA’S STRATEGY: AN ANALYSIS OF MATHEMATICAL PROBLEM SOLVING DIFFICULTY IN 5TH GRADE ELEMENTARY SCHOOL

2018 ◽  
Vol 10 (2) ◽  
pp. 140
Author(s):  
Nunuy Nurkaeti
Keyword(s):  
Elementary School ◽  
Problem Solving ◽  
Elementary School Students ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Descriptive Analysis ◽  
Thinking Skills ◽  
School Students ◽  
Mathematical Concepts ◽  
Mathematical Problems

Abstract:. Problem solving is one of ways to develop higher order thinking skills. Strategy of problem solving that can be developed in mathematics learning is Polya's strategy. This study aims to analyze the problem solving difficulties of elementary school students based on Polya strategy. To support this research,descriptive analysis is used on seven elementary school students . The results show that, the difficulty of mathematical problems solving of elementary school students consist of the difficulty of understanding the problem, determining the mathematical formula/concepts that is used, making connections between mathematical concepts, and reviewing the correctness of answers with questions. These happened because the problem presented is in a story problem, that is rarely studied by the students. Students usually solve mathematical problems in a form of routine questions, which only require answers in a form of algorithmic calculations. Abstrak: Pemecahan masalah adalah salah satu cara dalam mengembangkan kemampuan berpikir tingkat tinggi. Salah satu strategi pemecahan masalah yang dapat dikembangkan pada pembelajaran matematik adalah strategi Polya. Penelitian ini bertujuan menganalisis kesulitan pemecahan masalah siswa sekolah dasar berdasarkan strategi Polya. Untuk mendukung penelitian ini digunakan analisis deskriptif pada tujuh orang siswa sekolah dasar. Hasilnya menunjukkan bahwa, kesulitan pemecahan masalah matematik siswa sekolah dasar meliputi, kesulitan memahami masalah, menentukan rumus/konsep matematik yang digunakan, membuat koneksi antar konsep matematika, dan melihat kembali kebenaran jawaban dengan soal. Hal tersebut disebabkan, masalah yang disajikan berupa soal cerita yang jarang dipelajari siswa. Siswa biasanya menyelesaikan masalah matematik berupa soal rutin, yang hanya menuntut jawaban berupa perhitungan algoritmik.

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 ADAPTIVE REASONING OF SOCIAL SECONDARY STUDENTS

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 112-119
Author(s):  
Nadhias Salwanda ◽  
Tatag Yuli Eko Siswono
Keyword(s):  
Social Sciences ◽  
Problem Solving ◽  
Secondary Students ◽  
Mathematical Problem ◽  
Research Subjects ◽  
Mathematical Skills ◽  
Reasoning Abilities ◽  
Reasoning Problem ◽  
The Social ◽  
Mathematical Problems

Adaptive reasoning is a component of basic mathematical skills that needs to be developed for students so that they can use mathematical procedures effectively. This research is a qualitative research that aims to describe the adaptive reasoning profile of secondary students in the Social Sciences department in solving mathematical problems. Research subjects were three students that solving mathematical problems correctly, solving mathematical problems less correctly, and solving mathematical problems incorrectly. The method used to collect data was to provide mathematical problem-solving tests and interviews. Data were analyzed based on students' adaptive reasoning activities in their activities to solve mathematical problems seen from three main aspects of adaptive reasoning, namely reflecting, explaining, and justifying. The results show that student who solved mathematical problems correctly indicated adaptive reasoning abilities in every aspect; student who solved mathematical problems less incorrectly demonstrated adaptive reasoning abilities that almost met all indicator aspects, and student who solved mathematical problems incorrectly did not demonstrate adaptive reasoning abilities in every aspect. Keywords: adaptive reasoning, problem solving, social secondary students.

scholarly journals The impact of 3CM model within blended learning to students' creative thinking ability

2020 ◽  
Vol 10 (1) ◽  
pp. 32
Author(s):  
Wahyudi Wahyudi ◽  
S.B Waluya ◽  
Waluya Suyitno ◽  
Isnarto Isnarto
Keyword(s):  
Problem Solving ◽  
Blended Learning ◽  
Prospective Teachers ◽  
Creative Thinking ◽  
Mathematical Problem ◽  
Thinking Skills ◽  
Mathematical Concepts ◽  
Post Test ◽  
Mathematical Problems ◽  
The Impact

Creating an enjoyable atmosphere and fostering creativity are the two most required components in learning mathematics. Hence, creativity would enable students to formulate something new. In addition, creativity is one of the most important and highest competencies in Bloom’s latest taxonomy. Furthermore, it is necessary to be possessed by everyone including prospective teachers. Not only for producing products in the form of objects, but the term creative also refers to problem solving in mathematic problems. This research is conducted to obtain a detail description regarding the impact of 3CM learning model among blended learning toward the enhancement of students’ creative thinking skills in mathematical problem solving. To achieve this goal, a pre-experimental design with one group pre-test post-test design pattern is chosen. Creative thinking skills are measured by test techniques and are emulated with observation techniques. Observations were performed when students worked on the test. The impact of 3CM learning with blended learning seen from test results paired sample T tests with the help of SPSS program a that are acquired from close ended questionnaire techniques. The results show that the average of pre-test is 60.51 and the average of post-test is 75.96. As for the results of paired T tests is the test got sig value (2-tailed) 0.000, and hence there was a significant gap among the results of pre-test and post-test. All of these results imply that 3CM learning within blended learning is undoubtedly able to increase students’ creativity in solving mathematical problems. This is due to the learning situation and activities which push students to do systematic thinking. It was started by criticizing the enchanting contextual problems, creating creative products based on particular mathematical concepts, and ended by having meaningful reflection.

scholarly journals Methodology of speed qualities development of police officers for actions in extreme situations of operational activities

2021 ◽  
Vol 2021 (4) ◽  
pp. 215-221
Author(s):  
Stanislav Naumenko ◽  
Mikhail Kulikov
Keyword(s):  
Motor Skills ◽  
Police Officers ◽  
High Speed ◽  
Professional Training ◽  
Maximum Speed ◽  
External Signal ◽  
Emergency Situations ◽  
Speed Of Response ◽  
Service Activities ◽  
Operational Activities

The article considers the scientific foundations of the pedagogical approach to the study and development of speed qualities, in particular, the reaction speed and functional capacities of a person who provides professional training of police officers and athletes. During the research, the features of the speed qualities development, in particular the speed of reaction, were studied by means of physical training, with the help of which it is possible to achieve maximum speed of response, and, on this basis, to form stable skills for counteraction in emergency situations related to service-applied activities. A set of factors determining the speed of response to an external signal is considered. Methods for the growth of speed in the training process serve as the basis for the progress of this quality in relation to the operational and service activities of police officers. The article presents the most effective methods of speed development, aimed both at improving this physical quality, and contributing to the formation of the necessary motor skills for the successful fulfillment of operational-service tasks and for competing. Speed qualities are complex in their structure, including the time of the motor reaction, the speed of a single movement, the frequency of movements, etc. These complexity and diversity should be taken into account during the training of high-speed abilities of police officers for actions in extreme situations of operational and service activities, and a special emphasis on the acquisition and development of new motor skills and abilities should be made.

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