Expert and Novice Approaches to Reading Mathematical Proofs

2012 ◽  
Vol 43 (4) ◽  
pp. 358-390 ◽  
Author(s):  
Matthew Inglis ◽  
Lara Alcock
Keyword(s):  
Eye Movements ◽  
Mathematics Education ◽  
Undergraduate Students ◽  
Logical Structure ◽  
Surface Features ◽  
Mathematical Proofs ◽  
Proof Validation ◽  
Expert And Novice ◽  
University Level

This article presents a comparison of the proof validation behavior of beginning undergraduate students and research-active mathematicians. Participants' eye movements were recorded as they validated purported proofs. The main findings are that (a) contrary to previous suggestions, mathematicians sometimes appear to disagree about the validity of even short purported proofs; (b) compared with mathematicians, undergraduate students spend proportionately more time focusing on “surface features” of arguments, suggesting that they attend less to logical structure; and (c) compared with undergraduates, mathematicians are more inclined to shift their attention back and forth between consecutive lines of purported proofs, suggesting that they devote more effort to inferring implicit warrants. Pedagogical implications of these results are discussed, taking into account students' apparent difficulties with proof validation and the importance of this activity in both schooland university-level mathematics education.

Mathematics Education at University Level: Contributions from Brazil

2018 ◽  
pp. 85-101
Author(s):  
Barbara L. Bianchini ◽  
Lilian Nasser ◽  
Lourdes Onuchic ◽  
Sonia B. C. Igliori
Keyword(s):  
Mathematics Education ◽  
University Level

scholarly journals Modes of Address in Pictorial Art: An Eye Movement Study of Manet's Bar at the Folies-Bergère

Leonardo ◽  
2014 ◽  
Vol 47 (3) ◽  
pp. 241-248 ◽  
Author(s):  
Beth Harland ◽  
John Gillett ◽  
Carl M. Mann ◽  
Jason Kass ◽  
Hayward J. Godwin ◽  
...  
Keyword(s):  
Eye Movements ◽  
Eye Movement ◽  
Edouard Manet ◽  
Expert And Novice ◽  
Movement Study ◽  
Historical Accounts

Art-historical accounts of the last 200 years identify developments in the types, or “modes,” of address that a picture can present to a viewer as critical to the experience and evaluation of paintings. The authors focus on “anti-theatrical” theories of pictorial address and the complex and innovative “double relation” of absorption and acknowledgment introduced by the painter Edouard Manet. They report a case study of Manet's A Bar at the Folies-Bergère investigating expert and novice spectators' eye movements and utterances in response to the painting to find evidence that viewers seek resolution of the complex “double relation” that the theories describe.

scholarly journals Expressive Writing to Relieve Academic Stress at University Level

2021 ◽  
Vol 23 (2) ◽  
pp. 17-33
Author(s):  
Juanita Argudo
Keyword(s):  
Focus Groups ◽  
Undergraduate Students ◽  
Mixed Method ◽  
Expressive Writing ◽  
Academic Stress ◽  
Mixed Method Study ◽  
University Level ◽  
The Impact ◽  
Positive Effect ◽  
Shed Light

This paper reports on a descriptive mixed-method study that aimed to identify the impact of expressive writing on relieving the academic stress of 157 undergraduate students at an Ecuadorian university. Data were gathered through two questionnaires and from focus groups. Results showed enduring relief of academic stress. Furthermore, they help to shed light on the need to study the impact of academic stress on university students and to look for different strategies that can alleviate it. These findings could help to understand students’ needs, as they have essential implications in teachers’ practices and, consequently, in students’ performance. In conclusion, expressive writing has a positive effect on helping to ease academic stress and overcome some difficulties caused by this issue.

scholarly journals Profile of simultaneous poly-substance users of undergraduate students at one university, Kingston - Jamaica

2012 ◽  
Vol 21 (spe) ◽  
pp. 63-67
Author(s):  
Joy Harrison ◽  
Laura Simich ◽  
Carol Strike ◽  
Bruna Brands ◽  
Norman Giesbrecht ◽  
...  
Keyword(s):  
Undergraduate Students ◽  
Latin American ◽  
Cross Sectional Study ◽  
Health Science ◽  
Caribbean Island ◽  
Cross Sectional ◽  
University Level ◽  
Second Year ◽  
The University ◽  
Latin American Countries

This study is part of a multicentric research project involving seven universities in five Latin American countries and one Caribbean island (Jamaica). This cross-sectional study examines the profile of a sample of first and second year undergraduate students in the Medical/Health Science Department of one university in Kingston, Jamaica. The sample size was 295 students. Our results revealed that this pattern of drug use is occurring in this specific university. Alcohol was the most frequently reported substance 27.5%, followed by cannabis 6.1% and tobacco 4.7%. Report of polydrug consumption was low for all categories studied. Our findings may inform interventions at the university level.

scholarly journals Analysis of the Implementation of the Indonesian National Qualifications Framework Oriented Curriculum in the Mathematics Education Program of Universitas Negeri Medan

2021 ◽  
Vol 4 (1) ◽  
pp. 42-49
Author(s):  
Yuliani Aruan ◽  
Edi Syahputra ◽  
Edy Surya
Keyword(s):  
Mathematics Education ◽  
Student Performance ◽  
Undergraduate Students ◽  
Positive Response ◽  
Student Responses ◽  
First Semester ◽  
Performance Quality ◽  
National Qualifications Framework ◽  
Depth Interviews

This study aims to describe: 1) the implementation of the curriculum oriented to the Indonesian National Qualifications Framework (KKNI), 2) student responses to the six tasks required in the KKNI curriculum, 3) the quality of student performance and achievement with the implementation of the KKNI curriculum. This research is a descriptive qualitative research which aims to describe the implementation of the curriculum oriented to the Indonesian National Qualifications Framework (KKNI). Subjek in this study were undergraduate students-1 in the first semester, three, and five mathematics education of UNIMED. The subjects who were subjected to in-depth interviews were randomly selected six students. Data obtained from the distribution of questionnaires and observations of the lecture process and in-depth interviews. The object of this research is the implementation of the KKNI curriculum, student responses, performance, and achievement oriented to the Indonesian National Qualifications Framework (KKNI). Based on data analysis, it is found that: 1) The implementation of the Indonesian National Qualifications Framework (KKNI) has not been carried out optimally or well in the mathematics education lecture process, 2) Students have a positive response to the application of the Indonesian National Qualifications Framework (KKNI), 3) Performance Quality is quite good in the application of the Indonesian National Qualifications Framework (KKNI), 4) Students' learning achievement is quite low in the application of the Indonesian National Qualifications Framework (KKNI).

scholarly journals Connection Between Aspects of Algebraic Creative Thinking of Undergraduate Students of Mathematics Education Study Program

2019 ◽  
Author(s):  
Rochmad . ◽  
Muhammad Kharis ◽  
Arief Agoestanto ◽  
Muhammad Zuhair Zahid
Keyword(s):  
Qualitative Research ◽  
Mathematics Education ◽  
Linear Algebra ◽  
Undergraduate Students ◽  
Creative Thinking ◽  
Test Results ◽  
Research Subjects ◽  
Study Program ◽  
Sequence Patterns ◽  
Education Study

This article was prepared based on qualitative research, case studied with research subjects 36 undergraduate students of mathematics education study program FMIPA UNNES in elementary linear algebra. Intended to find out students’ problem solving abilities aspects of algebraic creative thinking and to describe connections between aspects of students creative thinking in solving problems. Aspects of creative thinking include: fluency, flexibility, novelty, and elaboration. Data obtained through tests, observations, and interviews. Based on the analysis of the test results, as many as 17 students reached the minimal criteria which is at least 61, and 15 students worth under 61. This indicates that many students had difficulty in solving problems of elementary linear algebra that contain aspects of creative thinking. The creative thinking character ofstudentsinsolvingproblemsofelementaryalgebrawithaspectsofcreativethinking; based on data analysis, obtained information that students in solving problems generally tend to thought on aspects of fluency. Some students had difficulty thought intermsofflexibility.Onlyafewstudentsthoughtofthenoveltyaspect.Manystudents had difficulty thought about aspects of elaboration. In connection between aspects of creative thinking there were several sequence patterns in thought when solving problems. Only a few of the four aspects of creative thinking were patterned on the minds of students.

scholarly journals PENGARUH PENERAPAN MODEL PEMBELAJARAN STUDENT FACILITATOR AND EXPLAINING PADA MATA KULIAH PENDIDIKAN MATEMATIKA ANAK USIA DINI TERHADAP KEAKTIFAN MAHASISWA PROGRAM STUDI PGPAUD UNIVERSITAS DHARMAS INDONESIA

2018 ◽  
Vol 6 (2) ◽  
pp. 305-310
Author(s):  
Antik Estika Hader
Keyword(s):  
Data Analysis ◽  
Mathematics Education ◽  
Student Learning ◽  
Undergraduate Students ◽  
Learning Model ◽  
T Test ◽  
Early Childhood Mathematics ◽  
Paired Sample ◽  
The One ◽  
Academic Year

AbstrakPendidikan matematika anak usia dini merupakan salah satu mata kuliah wajib bagi mahasiswa S1 PGPAUD Universitas Dharmas Indonesia. Peneliti sekaligus sebagai dosen pengampu mata kuliah ini, menggunakan metode ceramah dan tanya jawab pada pertemuan ke satu sampai dengan ke empat. Namun menurut pengamatan peneliti, mahasiswa kurang begitu aktif untuk bertanya dan mengemukakan pendapat. Disatu sisi penulis menyadari potensi yang dimiliki mahasiswa sangat besar karena mahasiswa yang mengambil mata kuliah ini pada tahun ajaran 2016/2017, sebagian besar merupakan guru-guru PAUD yang tersebar di beberapa kecamatan di Kabupaten Bungo, Dharmasraya, Kerinci dan Sijunjung yang telah memiliki pengalaman minimal dua tahun mengajar. Penulis mencoba menerapkan model pembelajaran student facilitator dan explaining untuk pertemuan ke lima sampai dengan ketujuh, dan melakukan pengamatan untuk melihat pengaruhnya terhadap keaktifan mahasiswa. Desain penelitian menggunakan bentuk one group pretest-posttest design. Hipotesis diuji dengan menggunakan paired sampel t test dengan software SPSS 20. Penulis menggunakan taraf kepercayaan 95%. Dari hasil analisis data diperoleh nilai signifikansi sebesar 0.01. Sehingga dapat disimpulkan terdapat pengaruh penerapan model pembelajaran student facilitator and explaining pada mata kuliah pendidikan matematika anak usia dini terhadap keaktifan mahasiswa program studi PGPAUD Universitas Dharmas Indonesia.Kata Kunci: Explaining, Model Pembelajaran, PGPAUD, Student Facilitator.AbstractEarly childhood mathematics education is one of compulsory subjects for undergraduate students of PGPAUD Universitas Dharmas Indonesia. Researcher as well as lecturer pengampu this subject, using the method of lecturing and question and answer at the meeting to one to the fourth. However, according to researcher observations, students are less active to ask and express opinions. On the one hand the author realizes the potential of the students is very large because students who take this course in the academic year 2016/2017, most of the teachers PAUD spread across several districts in Bungo, Dharmasraya, Kerinci and Sijunjung who have minimal experience Two years of teaching. The author tries to apply student learning model facilitator and explaining for the fifth to seventh meeting, and make observations to see the effect on student activeness. The research design used a one-pretest-posttest design. The hypothesis was tested using paired sample t test with SPSS 20 software. The author used 95% confidence level. From the results of data analysis obtained value of significance of 0.01. So it can be concluded that there is influence of applying student learning model facilitator and explaining on early childhood mathematics education subject to the liveliness of PGPAUD students of Universitas Dharmas Indonesia.Keyword: Explaining, Learning Model, PGPAUD, Student Facilitator.

scholarly journals Does Learning Emotion Associated with Psychological Factors among University Students

2021 ◽  
Vol 13 (2) ◽  
pp. 09-14
Author(s):  
Abeer Rasheed
Keyword(s):  
University Students ◽  
Achievement Motivation ◽  
Undergraduate Students ◽  
Decision Makers ◽  
Model Fit ◽  
Analysis Techniques ◽  
Data Collection Process ◽  
Survey Technique ◽  
University Level ◽  
The Relationship

This study analyzed the relationship between psychographic factors and learning emotions among university students. The population and sample were drawn from undergraduate students in Saudi Arabia. Quantitative method using survey technique implemented in this study for data collection process from 209 students. The model fit was analyzed by using several data analysis techniques criteria’s. Results indicated that learning emotions significantly correlated with achievement motivation and leisure attitude. Furthermore, a significant correlation also found between the study variables for both genders. Based on these results, academicians and decision makers at university level, need to arrange counseling sessions for students to promote positive learning emotions as well as improving psychological outcomes.

Sign in / Sign up

Export Citation Format

Share Document