scholarly journals A Comparative Research on Proving: The Case of Prospective Mathematics Teachers

2019 ◽  
Vol 9 (4) ◽  
pp. 92
Author(s):  
Gülçin Oflaz ◽  
Kübra Polat ◽  
Duygu Altaylı Özgül ◽  
Mario Alcaide ◽  
José Carrillo
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
Prospective Teachers ◽  
State Universities ◽  
Teaching Mathematics ◽  
Structured Interviews ◽  
Mathematical Proofs ◽  
Second Year ◽  
Prospective Mathematics Teachers

It is of critical importance, in particular, for mathematics teachers who will teach future generations to understand and do mathematical proofs. It is important to determine future teachers' beliefs about and difficulties with proofs because their knowledge of this issue affects their teaching. This study aims to determine and compare the proof schemes of prospective mathematics teachers from two state universities, one in Turkey and the other in Spain. The case study was conducted within this study. The participants were 51 prospective teachers at their second year from the department of teaching mathematics education at Huelva University in Spain and 45 prospective teachers from the department of teaching mathematics education at Cumhuriyet University in Turkey. The Proof Test consisted of four questions about proofs for parallelograms. Semi-structured interviews were subsequently conducted to investigate the prospective teachers’ responses in-depth. The findings suggest that prospective teachers from Turkey and Spain indicated affinity in proving. The majority of the prospective mathematics teachers were either unable to complete the proof or completed the proof in an inaccurate way.

The Difficulties Experienced in Teaching Proof to Prospective Mathematics Teachers: Academician Views

2016 ◽  
Vol 6 (1) ◽  
pp. 145 ◽  
Author(s):  
Gürsel Güler
Keyword(s):  
Content Analysis ◽  
Mathematics Education ◽  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Professional Lives ◽  
Analysis Method ◽  
Structured Interviews ◽  
Content Analysis Method ◽  
Prospective Mathematics Teachers ◽  
Experience Difficulty

<p>The aim of this study is to examine the difficulties prospective mathematics teachers experience in mathematical proving, the courses in which they have difficulties in proving, the importance of proof in mathematics education and its functions in their professional lives. The data of the study was collected via semi-structured interviews with fifteen academicians who volunteered to take part in the study. Content analysis method was used to analyze the data obtained. As a result of the study, based the views of the academicians, it was seen that prospective mathematics teachers experience four different difficulties in proving. Besides, in line with the views of the academicians the following categories were formed: the courses that prospective teachers experience difficulty, the importance of proof in mathematics education and its functions in prospective teachers’ professional lives and these categories were presented with their subcategories.</p>

scholarly journals Comparison of prospective mathematics teachers’ problem posing abilities in paper-pencil test and on dynamic geometry environment in terms of creativity

2020 ◽  
Vol 9 (3) ◽  
pp. 243
Author(s):  
MEHMET FATIH ÖÇAL ◽  
TUĞRUL KAR ◽  
GÜRSEL GÜLER ◽  
ALI SABRI İPEK
Keyword(s):  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Creative Thinking ◽  
Dynamic Geometry ◽  
Thinking Skills ◽  
Problem Posing ◽  
Dynamic Geometry Environment ◽  
Mathematical Concepts ◽  
Prospective Mathematics Teachers

This study aims to investigate the similarities and differences between prospective mathematics teachers’ creative thinking skills in paper-pencil test and on a Geogebra-supported environment in terms of problem-posing. This case study used purposive sampling method for determining the participants. Findings revealed that the activities carried out in the GeoGebra-supported environment were insufficient to produce creative problems, and GeoGebra’s main utility to prospective teachers was in identifying their mistakes related to mathematical concepts and discrepancies among numerical values of the problems posed. The reasons for the low achievement in posing problem were discussed: These were; (i) lack of problem-posing experience, (ii) the structure of problem-posing activity, and (iii) prospective teachers’ mathematical content knowledge.

scholarly journals Making the Pedagogical Elements Used by Prospective Mathematics Teachers Visible in Teaching: Scenario Writing Activities

2021 ◽  
Vol 11 (3) ◽  
pp. 81-104
Author(s):  
Cahit Aytekin
Keyword(s):  
Academic Success ◽  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Teacher Candidates ◽  
Real Life ◽  
Prospective Mathematics Teachers ◽  
Life Education ◽  
Car Travel

Abstract Introduction: In the reflective writing process, teachers make identification, information, explanation and evaluation activities (Spanneberg, 2009). It is thought that the scenarios written by the teacher candidates in order to teach a certain subject can give them an opportunity to think deeply. However, these teaching scenarios can be a valuable tool for reflective thinking in terms of educational matters such as teaching methods, pedagogy, and beliefs. Methods: In this study, it was investigated whether script writing is an effective tool to make pedagogical elements visible in the prospects of mathematics teachers. Case study pattern, which is one of the qualitative research patterns, was used in the research. For this purpose, thirty prospective mathematics teachers who participated in the study were asked to write two scenarios. The first one is called as “car travel” and the other one is called as “triangles and similarity” scenario. Before the study, some basic frameworks were defined for both scenarios. These are explained to prospective teachers. The “car travel” scenario in this research was given within the scope of the theme which includes only two people and a limited environmental interaction. The second scenario is the triangles and the similarity scenario. In the second scenario, the role of a teacher who conducts applied and real-life education outside of school is defined. Results: In general, it is concluded that script writing activities are very useful in training teachers. The data obtained from both scenarios reveal that the pedagogical elements constructed during the scenario writing activities become concrete in the minds of the prospective teachers. Discussion: It is observed that prospective teachers often include the structure of teaching related to real life in their scenarios. It is stated that teaching in the context of real life increases academic success and students’ interest in the lesson, and thus, the content is learned perceptibly by the students (Acar & Yaman, 2011). Another cognitive element that prospective teachers include in their scenarios is the use of available materials. It is noteworthy that the prospective teachers used real-life tools and materials as materials in the place chosen for the scenarios of their scripts. Limitations: This research is limited to script texts written by thirty prospective teachers. Conclusions: Thanks to this visibility, feedback can be given on the pedagogical elements that the prospective teacher will use in the future.

scholarly journals PROSPECTIVE MATHEMATICS TEACHERS’ COGNITIVE COMPETENCIES ON REALISTIC MATHEMATICS EDUCATION

2019 ◽  
Vol 11 (1) ◽  
pp. 17-44
Author(s):  
Rezan Yilmaz
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Realistic Mathematics Education ◽  
Mathematical Education ◽  
Formal Knowledge ◽  
Informal Knowledge ◽  
Realistic Mathematics ◽  
Prospective Mathematics Teachers ◽  
Cognitive Competency

Realistic Mathematics Education (RME) is based on the idea that mathematics is a human activity; and its main principle is to ensure the transition from informal knowledge to formal knowledge through contextual problems. This study aims at revealing how RME is configured in the minds of prospective mathematics teachers and their cognitive competency in that sense. For that purpose, at the end of the process, in which the approaches used in mathematical education including RME are examined and interpreted, 32 prospective teachers were asked various open-ended questions. Moreover, they were expected to pose contextual problems that could be used in RME. After analysing the obtained data via qualitative research techniques, it is seen that the majority of the prospective teachers possesses theoretical knowledge on RME. However, it is also observed that their ability to present its differences and similarities with other approaches and to pose contextual problems suitable to RME has been decreased.

scholarly journals Checklist on question design for mathematical literacy

2021 ◽  
Vol 11 (1) ◽  
pp. 259-298
Author(s):  
Kemal Özgen
Keyword(s):  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Teacher Candidates ◽  
Measurement Tool ◽  
Mathematical Literacy ◽  
Course Content ◽  
Second Stage ◽  
Prospective Mathematics Teachers ◽  
Process Level

The aim of the first stage of the research was to examine the opinions of prospective mathematics teachers about what features a question prepared to develop and measure ML should have to be effective and qualified. Moreover, it was aimed to determine the degree to which prospective teachers apply these qualifications in questions they design to develop and measure ML. The aim of the second stage of the research was to develop a valid and reliable checklist that can be used in the design of the question to develop and measure ML and to show this tool with an application. The research was conducted as a case study model. The study group consisted of 20 prospective mathematics teachers and five mathematics teachers who took ML courses. Interview forms were applied in order to collect data from the teachers and teacher candidates who took the ML course. Content analysis was used in the analysis of the prospective mathematics teachers' opinions about the qualifications of ML question. In the analysis of the data obtained, content, context, process, level and structure categories were formed for effective and qualified ML question. The checklist was decided to be in five categories and a total of 28 items and three options depending on them. It can be said that the checklist for the ML question design, which was developed and piloted in this study, is a valid and reliable measurement tool. Mathematics teachers and related researchers can use the developed checklist as a guide and guiding tool in designing ML questions.

scholarly journals TIPE PEMBUKTIAN MAHASISWA CALON GURU MATEMATIKA

2021 ◽  
Vol 10 (1) ◽  
pp. 351
Author(s):  
Mu'jizatin Fadiana ◽  
Yulaikah Yulaikah ◽  
Lajianto Lajianto
Keyword(s):  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Deductive Reasoning ◽  
Mathematical Proof ◽  
Inductive Reasoning ◽  
Tertiary Institution ◽  
Simple Task ◽  
Descriptive Research ◽  
Prospective Mathematics Teachers ◽  
Quantitative Descriptive

The ability to prove formal mathematics is an important ability that must be mastered by undergraduate prospective mathematics teachers. However, students who are prospective mathematics teachers have difficulty in constructing proof in mathematics courses. Therefore, this study aims to explore the tendency of mathematical proof methods for prospective mathematics teachers in second year lectures. The method used in this research is quantitative descriptive research. Participants in this study were 30 prospective mathematics teachers at a tertiary institution in Tuban, East Java. The research instrument is a simple task of compiling mathematical evidence. The results of the study were analyzed using the classification of types of proof by Miyazaki, namely classifying the types of deductive and inductive reasoning. The results showed that prospective mathematics teachers had a greater tendency to use deductive reasoning than using inductive reasoning. Type A proof is the most common type of proof. In addition, around 70% of prospective teachers still experience difficulties in compiling evidentiary tasks.

Arithmetic for Majors?

1953 ◽  
Vol 46 (8) ◽  
pp. 560-564
Author(s):  
Jack D. Wilson
Keyword(s):  
Mathematics Teachers ◽  
Prospective Teachers ◽  
School Administrators ◽  
School Officials ◽  
Prospective Mathematics Teachers

School administrators are now asking that prospective mathematics teachers be given a better preparation for teaching arithmetic and general mathematics. This paper outlines certain trends related to these requests and describes a course in arithmetic to give prospective teachers the kind of training now being demanded by school officials.

Seventeenth Annual Summer Meeting

1957 ◽  
Vol 50 (5) ◽  
pp. 410-411
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
Teaching Mathematics ◽  
The Many ◽  
Annual Summer ◽  
The U.S

Contemporary mathematics, new trends in mathematics education, and current problems of teaching mathematics will be highlighted at the 1957 Summer Meeting of The rational Council of Teachers of Mathematics at Carleton College. Outstanding leaders in mathematics and education from all parts of the U.S. will participate in the meetings. Mathematics teachers wilt share their successful techniques at the many sessions on current teaching problems.

scholarly journals Acessar ou Interagir? Uma Análise em Disciplinas da Licenciatura em Matemática no Cederj

EAD em FOCO ◽  
2016 ◽  
Vol 6 (3) ◽  
Author(s):  
Robson Marques De Souza ◽  
Marcelo Almeida Bairral
Keyword(s):  
Distance Education ◽  
Virtual Environment ◽  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Rio De Janeiro ◽  
Master's Degree ◽  
Discrete Mathematics ◽  
Undergraduate Mathematics ◽  
Mathematics Courses ◽  
Prospective Mathematics Teachers

Este artigo é recorte de uma pesquisa de mestrado que analisou aspectos da formação inicial em Matemática no Polo do Centro de Educação Superior a Distância do Estado do Rio de Janeiro (Cederj) em Paracambi-RJ. Exemplifica sucintamente diferentes ferramentas disponibilizadas na plataforma e reflete sobre possíveis formas de promover interação entre licenciandos em Matemática. Ilustra acessos em três disciplinas (Matemática Discreta, Pré-Cálculo e Instrumentação no Ensino de Geometria (IEG)) obtidos por meio do histórico de entradas no ambiente no período de julho a dezembro de 2013. Identifica momentos específicos nos quais os licenciandos utilizam as ferramentas comunicativas para estabelecer contato com professores, tutores e colegas de curso, seja para sanar dúvidas, realizar ou postar atividades. Esses momentos estão concentrados nos períodos de avaliação, sendo uma exceção a disciplina IEG, na qual se detectou um acesso mais regular e indícios que sugerem maior interação no ambiente virtual da disciplina.Palavras-chave: Educação a Distância, Plataforma Cederj, Licenciatura em Matemática, interação.  Access or Interact? An Analysis of Undergraduate Courses of the Prospective Mathematics Teachers at CEDERJAbstract This article is part from a master's degree research that analyzed aspects of prospective mathematics teachers at the Polo Cederj in Paracambi-RJ. It briefly describes various tools available on the platform and reflects on ways to promote interaction among undergraduates students in Mathematics. It illustrates the access in three subjects (Discrete Mathematics, Pre-Calculus and Didactic of Geometry (DG)) obtained through the log access in the virtual environment in the period from July to December, 2013. It identifies specific times in which prospective teachers seek the tools and use them to make contact with teachers, tutors and fellow course, is to clarify doubt, perform or post activities. These moments are concentrated in the periods of assessment, as an exception to DG subject, in which were found more regular access and evidence to suggest more interaction within virtual environment of course.Keywords: Distance Education, Cederj platform, Undergraduate Mathematics Courses, interaction.

scholarly journals Analysis of Self-Regulated Learning of Students in Mathematics Education Study Program in Number Theory Course

2021 ◽  
Vol 10 (1) ◽  
pp. 39
Author(s):  
Kurnia Putri Sepdikasari Dirgantoro ◽  
Robert Harry Soesanto
Keyword(s):  
Number Theory ◽  
Mathematics Education ◽  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Learning Goals ◽  
Response Class ◽  
Study Program ◽  
Self Regulated Learning ◽  
Education Study ◽  
Regulated Learning

The number theory is the first mathematics content course in the UPH FIP Mathematics Education study program, which does not have a response class. The response class was conducted as a companion to four content subjects with close relations with school mathematics content, namely Calculus 1, Calculus 2, Geometry, and Linear Algebra. Based on the questionnaire that has been distributed, prospective mathematics teachers consider that the response class is beneficial for them in attending lectures and in exploring related mathematical concepts. However, on the other hand, students inevitably have to go back to learning to be determined with the response class. The implication is that students' self-regulated learning will not develop optimally. However, self-regulated learning is an essential aspect that prospective teachers need to have. This research was conducted to see how self-regulated learning of future mathematics teachers in number theory courses. The research instruments used are questionnaires, the scale of self-regulated learning, and interviews. This research is a qualitative descriptive study. The results of this study are that most students have a moderate level of learning independence. The aspects or indicators of learning independence that need special attention are setting learning goals/targets. Prospective teacher students need to continue to train and develop their learning independence to become professional teachers who continue to develop along with the times.

Sign in / Sign up

Export Citation Format

Share Document