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 Aktivitas Matematika Berbasis Budaya pada Masyarakat Lampung

2016 ◽  
Vol 7 (2) ◽  
pp. 221-230
Author(s):  
Rosida Rakhmawati
Keyword(s):  
Mathematics Learning ◽  
Mathematical Problem ◽  
Mathematical Concept ◽  
Vital Role ◽  
Exploratory Research ◽  
Mathematical Concepts ◽  
Daily Lives ◽  
Home Building ◽  
Culture Based Education

Culture-based education has a vital role of individuals and communities to achieve progressivity in all aspects of life. Math-based culture called ethnomathematics is an approach that can be used to explain the role of mathematics in a multicultural society. Mathematical concepts used to explore the existence of mathematics in culture, especially traditional societies of Lampung. This study aims to describe the results of exploration Lampung Ethnomathematics with this kind of exploratory research as well as an ethnographic approach. The results showed that without studying the mathematical concept, traditional society of Lampung have applied these concepts in their daily lives using ethnomathematics. Proved the existence of mathematical concepts contained in custom home building, the local unit of  Lampung, geometric shapes motif of tapis, as well as traditional games Lampung. Researchers suggest the results of this study to (a) used as alternative ideas mathematics learning outside the classroom, (b) introduced in learning formal mathematics as initial capital to teach the concept of mathematics to students, (c) be used as reference material for preparing a matter of mathematical problem-solving context.

Links to Literature: A Remainder of One: Exploring Partitive Division

2000 ◽  
Vol 6 (8) ◽  
pp. 517-521
Author(s):  
Patricia Seray Moyer
Keyword(s):  
Children's Literature ◽  
Mathematical Knowledge ◽  
Mathematics Classroom ◽  
Children’S Literature ◽  
National Council ◽  
Mathematical Concepts ◽  
Mathematical Ideas ◽  
Mathematics Problems ◽  
Mathematical Symbols ◽  
Everyday Experiences

Children's literature can be a springboard for conversations about mathematical concepts. Austin (1998) suggests that good children's literature with a mathematical theme provides a context for both exploring and extending mathematics problems embedded in stories. In the context of discussing a story, children connect their everyday experiences with mathematics and have opportunities to make conjectures about quantities, equalities, or other mathematical ideas; negotiate their understanding of mathematical concepts; and verbalize their thinking. Children's books that prompt mathematical conversations also lead to rich, dynamic communication in the mathematics classroom and develop the use of mathematical symbols in the context of communicating. The National Council of Teachers of Mathematics (1989) emphasizes the importance of communication in helping children both construct mathematical knowledge and link their informal notions with the abstract symbols used to express mathematical ideas.

scholarly journals Examining Mathematical Problem-Solving Beliefs among Rwandan Secondary School Teachers

2021 ◽  
Vol 20 (7) ◽  
pp. 227-240
Author(s):  
Aline Dorimana ◽  
Alphonse Uworwabayeho ◽  
Gabriel Nizeyimana
Keyword(s):  
Problem Solving ◽  
Secondary School Teachers ◽  
Mathematics Classroom ◽  
Mathematical Problem ◽  
Real Life ◽  
Mathematical Problem Solving ◽  
Teachers Beliefs ◽  
Mathematical Problems ◽  
Teacher Professional

This study explored teachers' beliefs about mathematical problem-solving. It involved 36 identified teachers of Kayonza District in Rwanda via an explanatory mixed-method approach. The findings indicate that most teachers show a positive attitude towards advancing problem-solving in the mathematics classroom. However, they expose different views on its implementation. Role of problem-solving, Mathematical problems, and Problem-solving in Mathematics were identified as main themes. Problem-solving was highlighted as an approach that helps teachers use time adequately and helps students develop critical thinking and reasoning that enable them to face challenges in real life. The study recommends teacher professional development initiatives with their capacity to bring problem-solving to standard.

scholarly journals Students’ Reflections on Dispositions in a Mathematics Classroom

2021 ◽  
Vol 6 (18) ◽  
pp. 61-78
Author(s):  
Teoh Sian Hoon ◽  
Parmjit Singh ◽  
Mazlini Adnan ◽  
Koo Ah Choo
Keyword(s):  
Problem Solving ◽  
Mathematics Classroom ◽  
Publishing House ◽  
Mathematical Problem ◽  
Reflective Journal ◽  
Mathematics Classrooms ◽  
Mathematical Problems ◽  
International Publishing ◽  
Journal Entries ◽  
Open Access Article

This study investigated students' dispositions. It is a qualitative study that analyzes students' reflective journal entries. It captured students’ dispositions and described how the reflective activities influence their engagement mathematical problem-solving. The findings showed that the students considered the mathematical problems were challenging to them, but their positive dispositions kept them engaged in learning. Engagement through effort and thinking algebraically with teachers' guidance was the crucial first steps in problem-solving. Results from this study provide educators with a wealth of knowledge to develop learning dispositions that will encourage active thinking and engagement among students in mathematics classrooms.                                                                Keywords: reflection; disposition; mathematics; engagement eISSN 2514-7528 © 2021 The Authors. Published for AMER ABRA CE-Bs by E-International Publishing House, Ltd., UK. This is an open-access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer-review under responsibility of AMER (Association of Malaysian Environment-Behaviour Researchers), ABRA (Association of Behavioural Researchers on Asians / Africans / Arabians) and cE-Bs (Centre for Environment-Behaviour Studies), Faculty of Architecture, Planning & Surveying, Universiti Teknologi MARA, Malaysia. DOI: https://doi.org/10.21834/jabs.v6i18.384

ANALISIS REPRESENTASI MATEMATIK SISWA SEKOLAH DASAR DALAM PENYELESAIAN MASALAH MATEMATIKA KONTEKSTUAL

2011 ◽  
Vol 16 (1) ◽  
pp. 128 ◽  
Author(s):  
Jarnawi Afgani Dahlan ◽  
Dadang Juandi
Keyword(s):  
Primary School ◽  
Everyday Life ◽  
Primary School Students ◽  
School Students ◽  
Mathematical Communication ◽  
Mathematical Concepts ◽  
Mathematical Ideas ◽  
Learning Mathematics ◽  
Mathematical Problems

Abstract: The purpose of this study was to examine the forms of representation constructed by primary school students in solving mathematical problems. Representation is the basis or foundation of how a student could understand and use mathematical ideas. The forms of representation, such as charts, graphs, and symbols, are essentially a long process of learning mathematics, but unfortunately these representations are often thought of and studied in its final form. Actually, representations should be given as support in the process of understanding concepts, the associations of mathematics, mathematical communication, constructing arguments, and apply mathematical concepts in everyday life through modeling. This research showed that the forms of representation constructed by the students are extremely varied. They are constructed in tables, images, patterns, and in the formal forms of mathematics (the formula). This study was also revealed that some students are able to develop forms of representation using logical mathematical processes. Students begin to formulate a representation using known premise, set the table, make conjecture, and subsequently arrange a formal representation.Keywords: mathematic representation, tables, charts, graphs, statements.

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 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.

scholarly journals PENGARUH PENDEKATAN MATEMATIKA REALISTIK TERHADAP PENINGKATAN KEMAMPUAN PEMAHAMAN KONSEP MATEMATIS SISWA

2019 ◽  
Vol 4 (2) ◽  
pp. 237-243
Author(s):  
Azrina Purba
Keyword(s):  
Mathematical Problem ◽  
Sampling Technique ◽  
Mathematical Concept ◽  
Positive Influence ◽  
Posttest Score ◽  
Mathematical Approach ◽  
Mathematical Concepts ◽  
Average Ability ◽  
Realistic Mathematics ◽  
Quasi Experimental

Abstract. The purpose of this study is to determine the effect of learning by using a realistic mathematical approach to the ability to understand students' mathematical concepts. This research is a quasi-experimental research. This research was conducted at MTs Islamiyah Medan. The research sample consisted of 50 students, 25 experimental class students, and 25 control class students obtained by cluster random sampling technique in class VII students. The results of the study explained that the average ability to understand mathematical concepts of students who use a realistic mathematical approach is higher than the average ability to understand mathematical concepts of students who use conventional learning. It can be seen from the average posttest score of students' mathematical problem-solving ability of 29.125 in the experimental class and 27.250 in the control class. However, the realistic mathematical approach model in the experimental class was significantly more successful in improving students' understanding of mathematical concept skills compared to conventional methods. Thus the learning of realistic mathematics influences the ability to understand the concepts of mathematical students (tcount = 3.91> ttable = 2.13). The conclusion of this study is that there is a positive influence on realistic mathematical approaches to students' mathematical concept understanding abilities.Keywords: Realistic Mathematics Approach, Understanding of Mathematical Concepts.

scholarly journals Students' Vocational High School Misconception Reviewed from Written Mathematical Communication Ability

2020 ◽  
Vol 3 (2) ◽  
pp. 133-143
Author(s):  
Radiusman Radiusman ◽  
Yurniwati Yurniwati ◽  
Maslina Simanjuntak ◽  
Rizki Jamiatul Sabariyah ◽  
Iva Nurmawanti
Keyword(s):  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Vocational High School ◽  
Research Subjects ◽  
Mathematical Communication ◽  
Mathematical Ideas ◽  
Mathematical Problems ◽  
Communication Ability ◽  
Essay Tests ◽  
The Right

This qualitative research aims to describe students’ misconceptions in linear programming reviewed from written mathematical communication ability. Four students from grade X SMKN 1 Purwasari were selected as research subjects by purposive sampling. Data collected through observation and essay tests. The results showed that the sample students experienced misconceptions in the low and high categories. Misconception with high categories lies in the indicators of changing mathematical ideas into mathematical models (75%), represent mathematical ideas into images or vice versa (100%), and mathematical problem-solving procedures (75%), while misconception with low categories is found in indicators choose the right concept in solving mathematical problems (25%). Based on this result, further treatment is needed to overcome students’ misconceptions before students continue learning to a higher stage.

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.

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