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'Mathematics education' Search Results



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This study aims to explore the role of lesson analysis in the development of mathematical knowledge for teaching. For this purpose, a graduate course based on lesson analysis was designed for novice mathematics teachers. Throughout the course the teachers watched videos of group-mates and discussed the issues they identified in terms of student-teacher relationship for a student centered instruction. Analysis over the video made teachers notice points and came to realize the thoughts of students; they had otherwise missed at the classroom. They achieved improvements regarding the awareness of the need to identify the cases presenting the most difficulty to the students in terms of teaching, and the necessity to take precautions regarding such points, to learn about the reason of the difficulty, and to pay attention to the statements by the students. Therefore, it is possible to note that the teachers improved themselves in terms of student’ knowledge with respect to the mathematical knowledge for teaching.

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10.12973/eu-jer.5.4.165
Pages: 165-172
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Exploring the Classroom: Teaching Science in Early Childhood*

inquiry preschool science stem-education

Peter J. N. Dejonckheere , Nele de Wit , Kristof van de Keere , Stephanie Vervaet


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This study tested and integrated the effects of an inquiry-based didactic method for preschool science in a real practical classroom setting. Four preschool classrooms participated in the experiment (N = 57) and the children were 4–6 years old. In order to assess children’s attention for causal events and their understanding at the level of scientific reasoning skills, we designed a simple task in which a need for information gain was created. Compared to controls, children in the post-test showed significant learning gains in the development of the so-called control of variables strategy. Indeed, they executed more informative and less uninformative explorations during their spontaneous play. Furthermore, the importance of such programmes was discussed in the field of STEM education.

* Note: This paper was published as an inadvertent duplicate publication with an another journal.

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10.12973/eu-jer.5.3.149
Pages: 149-164
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1433
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1289
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19

Researching Sport Education Appreciatively

physical education sport appreciative inquiry

Shane Pill , Peter Hastie


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In order to plan and enact appropriate learning environments in physical education (PE) teachers are increasingly directed to models based practice. The Sport Education model is one of these models for PE curriculum and teaching design that informs the content and pedagogical direction of sport teaching in PE. Despite Sport Education being well researched internationally, there are few examples of research consideration of this model in Australian PE in the last ten years. In this paper the aim is to appreciatively examine two secondary school PE teachers use of the Sport Education model in the context of their familiarisation of the new Australian Curriculum for Health and Physical Education. At the same time, exploring the use of Appreciative Inquiry to examine models based practice in PE was also an aim of the study. Data were collected from pre and post interviews with the teachers and an end of unit survey of the Year 9 students undertaking the Sport Education unit. The Sport Education model was found to be most suitable to teaching for student evidence of the personal and social skills elements of the Achievement Standard. Appreciative Inquiry was found to be suitable for foregrounding existing examples of teacher use of models based practice, highlighting what it is about the teachers that led them to stay with the model when the literature particular to Australian PE suggests mostly a continuation of the “traditional” physical education method.

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10.12973/eu-jer.5.4.189
Pages: 189-200
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896
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919
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2

The Relationship between the Amount of Learning and Time (The Example of Equations)

amount of learning time equations seventh grade

Cenk Kesan , Deniz Kaya , Gokce Ok , Yusuf Erkus


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The main purpose of this study is to determine the amount of time-dependent learning of "solving problems that require establishing of single variable equations of the first order" of the seventh grade students. The study, adopting the screening model, consisted of a total of 84 students, including 42 female and 42 male students at the seventh grade. Data was collected using an assessment tool consisting of 10 open-ended questions. The findings show that the learning group of 84 students were behind the value closest to the full learning level by a score of 0.013. While the female students reached the lower limit of 0.987 specified for the full learning level in a period of 3.2 course hours, the male students reached this limit in 4.0 course hours. The learning amount of 0.999, which is the closest value to the full learning level, was reached by the learning group in a period of 9.7 course hours, the female students in 8.5 course hours, and the male students in 11.3 course hours. In addition to this, the data obtained showed that learning difficulties among to the learning groups decreased as the space below the curve of time and learning amount decreased. As a result of the study, it was recommended that it is possible to determine the closest course periods for the full learning level for each of the gains found in all levels of education and all teaching programmes, which define certain learning outcomes within a certain time.

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10.12973/eu-jer.5.3.125
Pages: 125-135
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419
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Improving the Perception of Self-Sufficiency towards Creative Drama

creative drama self-sufficiency training program

Serpil Pekdogan , Halil Ibrahim Korkmaz


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The purpose of this study is to investigate the effects of a Creative Drama Based Perception of Self-sufficiency Skills Training Program on 2nd grade bachelor degree students’ (who are attending a preschool teacher training program) perception of self-sufficiency. This is a quasi-experimental study. Totally 50 students were equally divided into two groups as they are experimental group and control group. Experimental group has attended to 24 sessions of a course as creative drama based training program. The training program was performed by involve in four elements of Bandura’s self-sufficiency as they are; performance success, indirect experiences, verbal persuasion and emotional states. It has been prepared to promote students’ perception of self-sufficiency skills. Perception of Self-sufficiency Towards Using Creative Drama Technique (PSCDT) has been offered as pre-test and post-test to both groups in order to obtain the data. It has been found that there was significance on behalf of experimental group in the end of this study (p< ,05).

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10.12973/eu-jer.5.3.101
Pages: 101-108
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494
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1066
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2

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The purpose of this study is to develop a reliable and valid measurement tool which will reveal teachers’ self-competences in education process. Participants of the study are 300 teachers working at state primary schools in the province of Gaziantep, Results of the exploratory factor analysis administered to the scale in order to determine its construct validity, indicated that it has four sub-dimensions. In accordance with the results of confirmatory factor analysis RMSEA was measured .050 level fit index. The determined levels for GFI is found to be 0.88, whereas for AGFI, 0.85 for NFI, 0.94 for CFI 0.98 and 0.94 for RFI. Also, non normed fit index, (NNFI) has been observed as 0.97. Four dimensions of the scale which was composed of 23 items account for approximately 54% of the total variance. Cronbach's alpha coefficient of internal consistency was counted .86 for the first dimension; .82 for the second dimension, .67 for the third dimension, .70 for the fourth dimension, and .92 for the entire scale. The scale, developed in order to measure teachers’ self-efficacy in the teaching process, proved to be valid and reliable based on the results of the related analyses.

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10.12973/eu-jer.5.2.73
Pages: 73-83
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701
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920
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Measuring the quality of the ‘product’ is elemental in education, and most studies depend on observational data about student achievement factors, focusing overwhelmingly on quantitative data namely achievement scores, school data like attendance, facilities, expenditure class size etc. But there is little evidence of learner perceptions. 553 students from two different universities, who graduated from 3 high school types, were asked to respond to two fundamental questions to reflect on school and classroom level achievement factors. 2294 responses produced eight categories in question one, teacher factors being the most preferred (n=424), followed by individual factors (n=404) and then family factors (n=395). As for liking towards a course, 1362 responses were produced, most frequent one being teacher’s attitude (n=205). Results indicate student perspective of causes of achievement is somewhat different from those expressed in quantitative studies. Girls attributed more achievement to study habits, family support whereas boys attributed more to school and technology. More emphasis is needed on perceived achievement factors for a sound evaluation of effectiveness in school.

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10.12973/eu-jer.5.2.85
Pages: 85-100
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Several studies have been conducted on technological, pedagogical content knowledge and web-based education. In this study, the Technological Pedagogical Content Knowledge and Educational Use of Web Technologies (TPCK-W) were analyzed in addition to the self-efficacy and attitudes of 33 teachers from eight different branches carrying out their duties in 19 countries of the European Union (EU). In this study, the Technological Pedagogical Content Knowledge-Web (TPCK-W) Survey developed by Lee, Tsai, and Chan was used. The data obtained statistics software was analyzed using SPSS for Windows 17.0 statistics software. As a result of the analysis, it was revealed that TPCK-W self-efficacy of teachers carrying out their duties in EU countries was high and their attitudes were positive; and age, experience, and gender did not affect their TPCK-W self-efficacy and attitudes. Moreover, participants’ general web attitudes changed positively, depending on their web communication, web content, and pedagogical use of the web.

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10.12973/eu-jer.4.4.149
Pages: 149-155
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1091
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1130
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4

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The paper presents an educative experience organized in a postgraduate course in a faculty of education with the aim of facilitating students’ “affective self-understanding”. Affective self-understanding is a reflective practice that allows people to comprehend their own emotions in order to gain awareness of them. Students were spontaneously engaged in a laboratory, where they were invited to reflect on their emotional lives. The educative experience was subdivided into different phases requiring writing and analysis tasks. At the end of the experience, students were asked what they thought they had learned, what had been difficult, and what had been the most important phase for learning. Students’ answers were analyzed on the basis of grounded theory through an inductive process of analysis. The theoretical framework of the research is the cognitive theory of emotions. According to this theory, an emotional education is possible because we can understand emotions by identifying their cognitive component and the actions they induce.

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10.12973/eu-jer.4.4.157
Pages: 157-176
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1419
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This paper describes a pedagogical framework that teachers can use to support students who are engaged in solving open-ended problems, by explaining how two Japanese expert teachers successfully apply open-ended problems in their mathematics class. The Open-Ended Approach (OPA) framework consists of two main sections: Understanding Mathematical Knowledge and Applying Mathematical Knowledge. The sections were cross-analyzed with students’ responses to provide a comprehensive analysis of how teachers use various techniques to support students. It is proposed that teachers can use this framework to create an environment that promotes learning with open-ended as well as other open problems in their mathematics classroom. The OPA framework can contribute to teacher education, the design of mathematics curricula and to educational research.

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10.12973/eu-jer.4.3.97
Pages: 97-104
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2863
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15

Concepts of Plants Held by Young Brazilian Children: An Exploratory Study

plant conception preschool and primary school pupils mental model drawings

Amauri Betini Bartoszeck , Claudete Rosa Cosmo , Bernadete Rocha da Silva , Sue Dale Tunnicliffe


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Children from southern and northern Brazil have a basic knowledge of plants, which they observe during their everyday life. Children ages between 3 to 10 years old (kindergarten & primary school), but the majority of them in the age group of 4-5 (total 145) were asked to draw what they think is a plant (total sample=332). Afterwards, a equal number of boys and girls randomly chosen were interviewed individually (mix ability) to list plants they said they knew and where they had seen them. Then they were asked to give exemplars of the local plants which they had seen. These data from the exploratory study show that pupils are in touch with their environment and recognize plants that are part of it. The everyday experiences of these children in school and out of school, at home and in leisure activities with family and friends, contribute to their knowledge about plants and such knowledge is complemented in the preschool and primary school classes by appropriate teaching. Educational implications of these findings are discussed.

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10.12973/eu-jer.4.3.105
Pages: 105-117
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1139
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1361
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11

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Facilitating effective mathematics learning and higher mathematics achievement have long been recognized as a key to the scientific and technological advancement of the African continent. While the central role that language proficiency plays in mathematics teaching and learning has received an overwhelming research attention in the literature over the past two decades, this is not the case among African policy-makers and political leaders. Drawing mainly from our professional experiences as mathematics educators and from the international research literature, our primary intent in this paper is to answer this question: How does the learning of mathematics in English at the basic school level help or hinder students’ mathematical proficiency? To answer this question, the paper is organized as follows. The first part, the introduction, gives a brief overview of the language of learning and teaching in Africa. The second part describes the method and conceptual framework undergirding the research. In the third section, we have analyzed the effects of mathematics learning and teaching through English for basic students whose mother tongue is a Ghanaian language. The conclusion offers four recommendations for developing and improving the mathematics proficiency of students in basic schools.

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10.12973/eu-jer.4.3.124
Pages: 124-139
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2075
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1773
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2

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Personal connections to agriculture have decreased considerably in Finland during the last few decades due to struc-tural changes in agriculture. In this study, we will elucidate the understanding and conception of agriculture amongst urban pupils who have grown up during the 21st century. The research strategy consists of intervention in form of a farm visit, with pre- and post-assessment. The methods for collecting data were drawings for gaining a diversified un-derstanding of how pupils understand, experience and conceptualise agriculture. The drawings were analysed by visual content analysis. In addition, interviews, analysed by inductive content analysis method, were used to clarify the re-sults. Qualities of farms as authentic learning environments are defined and studied The study revealed that many pupils had irrational conceptions of agriculture before the farm visit (38 %), but decreased significantly after the visit. One of the explaining factors for these irrational conceptions was considered to be the influence of media sources. Farms as educational learning environments were able to correct pupils’ false conceptions. A realistic image of agriculture is of significant value for becoming an aware and responsible consumer as well as choosing a career in agriculture.

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10.12973/eu-jer.4.1.1
Pages: 1-13
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1819
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1976
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6

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This paper reports on research into the practice of learning rounds in Scotland. Learning rounds are a form of collaborative professional development for teachers based on the instructional rounds practice developed in the USA. In recent years learning rounds have gained high profile official support within education in Scotland. The research finds that what teachers in Scotland do when they say they are do-ing learning rounds varies widely from school to school and deviates significantly from the practice of instructional rounds. The implications of this for who is learning what in the practice of learning rounds is considered. The wider implications of the Scottish experience for the development of in-structional rounds practice in other countries is also considered as are the implications for promoting collaborative professional development practice more generally.

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10.12973/eu-jer.4.1.22
Pages: 22-37
cloud_download 1462
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6962
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Majority of NOS studies comprise of determination or assessment studies conducted with ordinary students. In order to gain further understanding on variation in NOS understandings among the students, there should be different research attempts focusing on unconventional students such as academically advanced students. The purpose of this study is to determine epistemological understanding of Finnish academically advanced science students concerning aspects of NOS. The study was a case study (N=39) conducted with qualitative perspective. Questionnaires on the students’ attitude toward science and motivation toward science learning plus a form for the teacher’s ideas and VNOS-C, were used as diagnostic tools and data collection instruments. The study revealed that the majority of the students were found to be naïve in aspects such as “empirical basis of science”, “observation and inference”, “subjectivity of scientists”, “social and cultural embeddedness”, “creativity in science”, “theories and laws” and “tentativeness”.

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10.12973/eu-jer.3.4.167
Pages: 167-176
cloud_download 1053
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1053
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1160
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4

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The major purpose of the study was to investigate factors which contribute to the decline in students’ academic performance in junior secondary schools in Botswana since 2010. The study was mainly quantitative and used the positivist inquiry paradigm. The study employed critical theory for its theoretical framework. Questionnaires were used to gather data from two hundred participants. Some documents were analyzed to supplement the information collected through the questionnaire. Data were analysed using the computer package known as Statistical Package for the Social Sciences (SPSS) version 15. The findings of the study showed that there were several factors that can contribute toward students’ low academic performance ranging from low staff morale to students unpreparedness for the examinations. The study, therefore, recommends that high teacher’s morale, availability of resources and parental involvement are critical for the attainment of high quality education in Botswana secondary schools. Furthermore, the findings of the study have implications for research and practice.

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10.12973/eu-jer.3.3.111
Pages: 111-127
cloud_download 2157
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2157
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1163
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11

The Measurement of Motivation with Science Student

motivation construct validity gender

Sarwat Mubeen , Norman Reid


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Motivation is an inner force that activates and provides direction to our thought, feelings and actions. Two main characteristics of motivation are goal directed behavior and persistence. Motivated people persistently work for the goal until it is achieved. This paper explores the nature of motivation in the context of learning and seeks to relate it to self-efficacy, self- concept, confidence and self-esteem. Motivation is presented as a ‘second order’ variable be- ing very much dependent on attitudes as well as perceived goals, needs and value. Ways of assessing motivation are considered and the typical use of questionnaire approaches is criticized heavily. These can measure what a person perceives but the perceptions may or may not correspond to reality. Indeed, the entire mathematical basis of data handling with questionnaires is questioned. A typical questionnaire is then used with a large sample of 600 1st and 2nd year science intermediate students, drawn from the province of the Punjab in Pakistan and the data obtained examined statistically. Correlations between the responses patterns in all 30 Likert-type questions were examined using Kendall’s tau-b while Principal Components Analysis, using varimax rotation, looked at the questionnaire overall as well as sub-groups of questions. Correlation values were found to be very low, suggesting no factor structure and, indeed, the factor analysis showed that there is no factor structure with the questionnaire used with this large population. Chi-Square, as a ‘contingency test’, was applied to compare the distributions of responses, gender separated. Gender differences were found only in a minority of questions. It is argued that motivation is highly multi-variate and that no simple factor structure is to be expected. It is also argued that, with ordinal data, following no prescribed pattern of distribution, only non-parametric statistics are appropriate. The traditional approaches are statistically incorrect and, as a result, will often miss key insights.

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10.12973/eu-jer.3.3.129
Pages: 129-144
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1843
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1378
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24

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This study examines the effect of project based learning on 8th grade students’ statistical literacy levels. A performance test was developed for this aim. Quasi-experimental research model was used in this article. In this context, the statistics were taught with traditional method in the control group and it was taught using project based learning in the intervention group. Statistics was given for four weeks according to pro ject based learning at intervention group. The performance test was applied to total 70 students as pre and post-test. Participants are from two different classes of a middle school in Trabzon. The data were analysed using Rasch measurement techniques. This measurement allowed both students’ performance and item difficulties to be measured using the same metric and placed on the same scale. All raw scores converted linear score in order to obtain equal interval scale. Acquired linear scores were compared. In the analysis of gained datum covariance analysis are used. According to gained results in pre-processing application there isn’t substantial difference between the achievements of intervention group and control group; but after processing between the achievements of intervention group and control group there is a substantial difference statistically in favor of intervention group. The results of the study revealed that the project based learning increased students’ statistical literacy levels in the intervention group.

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10.12973/eu-jer.3.3.145
Pages: 145-157
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911
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928
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7

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This study investigates the effect of the project based learning approach on 8th students’ attitude towards statistics. With this aim, an attitude scale towards statistics was developed. Quasi experimental research model was used in this study. Following this model in the control group the traditional method was applied to teach statistics wheras in the intervention group project based learning approach was followed. The attitude scale towards statistics was applied as pre-test and post-tests to 70 students studying at two different 8th grade classes of a middle school in Trabzon during the 2011–2012 Academic Year. The results of the study revealed that the project based learning increased students’ attitude towards statistics in the intervention group. Therefore, the use of project based learning approach during statistics course in mathematics classes is recommended.

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10.12973/eu-jer.3.2.73
Pages: 73-85
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903
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935
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Schools and teacher induction programs around the world routinely assess teaching best practice to inform accreditation, tenure/promotion, and professional development decisions. Routine assessment is also necessary to ensure that teachers entering the profession get the assistance they need to develop and succeed. We introduce the Item-Level Assessment of Teaching practice (I-LAST) as a flexible framework-based approach for quantitative evaluation of teaching best practice in the induction stages. We based the I-LAST on a novel framework for teaching best practice, and used Fuller’s scale as a framework for understanding the potential of the I-LAST in providing longitudinal measures for growth. Using the context of a year-long teacher induction program in the Midwestern United States, we collected data through an online survey from 46 teaching supervisors who were asked to evaluate their interns. We used the Rasch partial credit model as a criterion for construct validity, and measured dimensionality and reliability from both Rasch and classical frameworks. The I-LAST was found to be a unidimensional, valid, and reliable measure for teaching best practice. It demonstrated the ability to provide reliable scores for specific sub-dimensions of best practice, including those which manifest at various stages along Fuller’s scale. Potential uses of the I-LAST to advance understanding of the role of teacher induction programs in fostering productive growth in new teachers is discussed.

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10.12973/eu-jer.3.2.87
Pages: 87-109
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