'mathematics learning' Search Results
Investigating the Visual Mathematics Literacy Self-Efficacy (VMLSE) Perceptions of Eighth Grade Students and Their Views on This Issue
mathematics education mixed methods visual mathematics literacy...
The aim of this study was to investigate the VMLSE perception levels of eighth grade students and differentiations based on variables of gender, state of success, final grade and ability to relate mathematical concepts to daily life and examine their views on this issue. The exploratory design of mixed method, which includes both quantitative and qualitative methods, was used in the study. The survey method was used in the quantitative dimension of the study. In qualitative dimension, phenomenological design which is one of the qualitative research designs is used. The data obtained from the quantitative dimension by VMLSE perception scale were analyzed by t-test and one-way analysis of variance. The data obtained from the semi-structured interview form were analyzed by using the content analysis method for the qualitative dimension of the research. As a consequently, there was a significant difference in VMLSE perceptions based on the variables of final grade, finding one’s self successful in the field of mathematics and ability to relate mathematical concepts; however, there was no significant difference based on gender. Additionally, it was found, the students had the idea that having VMLSE perception would affect mathematics success positively.
Examining Mathematics Classroom Interactions: Elevating Student Roles in Teaching and Learning
problem posing responsive teaching identity mathematics teaching and learning...
This article introduces a model entitled, “Responsive Teaching through Problem Posing” or RTPP, that addresses a type of reform oriented mathematics teaching based on posing relevant problems, positioning students as experts of mathematics, and facilitating discourse. RTPP incorporates decades of research on students’ thinking in mathematics and more recent research on responsive teaching practices. Two classroom case studies are presented. A high school unit on functions is explored utilizing individual research on the part of the teacher to enact RTPP lessons. A middle school teacher enacts a RTPP lesson on proportions and utilizes this model to bridge students’ incorrect additive reasoning strategies with correct multiplicative reasoning strategies. The results showed that both teachers were able to elevate students’ roles in classroom discussions through implementation of RTPP. Individual research conducted by the high school teacher informed his RTPP approach while participation in professional development sessions with a classroom embedded component influenced the middle school teacher’s enactment of RTPP lessons. Both teachers used specific teacher moves within RTPP to relinquish their role as mathematics experts in order to elevate their students’ roles in classroom discussions. The RTPP cycle is offered as a potential model for studying mathematics teaching and learning across a variety of secondary mathematics classrooms.
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Measuring Teachers’ Assessment for Learning (AfL) Classroom Practices in Elementary Schools
assessment for learning measurement instrument rasch measurement formative assessment teacher professional development...
Assessment for Learning (AfL) may be conceptualized as minute-to-minute, day-by-day interactions between learners and teachers with the improvement of learning as the principal focus. This paper traces the development of an AfL measurement instrument (scale) that can be used for research purposes prior to, during and following professional development in the area. Rasch measurement procedures were applied to data drawn from a convenience sample of 594 teachers from 44 elementary schools in Ireland to create a scale consisting of 20 items distributed across four key AfL assessment strategies: learning intentions and success criteria, questioning and classroom discussion, feedback, and peer-and self-assessment. This scale, the Assessment for Learning Measurement instrument (AfLMi), has good psychometric properties and is interpretable in a way that makes it potentially useful during system wide improvement initiatives focused on AfL.
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Achieving Quality Mathematics Classroom Instruction through Productive Pedagogies
pedagogies productive pedagogies quality classroom instruction classroom teaching strategies...
This paper seeks to investigate the implementation of the Productive Pedagogies Framework in Nigerian mathematics classroom setting. The researcher adopted a qualitative case study approach to seeking data for the three research questions postulated for the study. Three mathematics teachers taught mathematics in two secondary schools in two Central states of Nigeria using the Productive Pedagogies framework introduced to them by the researcher. Two major instruments (observation and reflective interviews) were employed to seek information from the teachers and the students. While the researcher uses the grounded theory approached to interpret and or analyzed the data collected. The findings of this study suggest that the teachers made attempts to used Productive Pedagogies framework to achieved quality mathematics classroom instructions. This was demonstrated in their effort to used problem-solving to achieve intellectual quality classrooms instructions, making mathematics classroom instruction relevant to the world around their students, developing an atmosphere of friendship during classroom instruction and identifying and recognizing the differences existed among students during classroom instruction. It was observed that the used of the Productive Pedagogies can increase students’ engagement, collaborations, interactions, substantive conversations and effective inclusion during mathematics classroom instruction in which the research finally recommended the adoption of the Productive Pedagogies framework in the Nigerian mathematics classroom.
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Unpacking TPACK in Mathematics Education Research: A Systematic Review of Meta-Analyses
meta-analysis systematic review tpack mathematics achievement...
Teaching with technology is considered a necessity in the U.S. mathematics classroom. However, few studies have established explicit considerations to support technology-enhanced student achievement. The purpose of this study was to characterize the effectiveness of technology in the mathematics classroom by systematically reviewing meta-analytic research. An exhaustive literature search was conducted. After applying a prioi inclusion criteria the pool of 65 initial meta-analyses was reduce to 13 representative studies. Each study was reviewed and characteristics were coded in four categories: (1) sample, (2) measurement, (3) design, and (4) source. An inductive review of the coded studies produced five unique moderators that were the most salient across studies. Overall mean effect sizes were retrieved or calculated from available study data. Hedges g was used as the common effect size metric for comparison across studies. The Technological Pedagogical Content Knowledge (TPACK) framework was used to interpret the most salient moderators of effects across studies. Studies were categorized by didactical functionality and technology type. The results suggest that effects vary by didactical functionality from small to medium. The largest variations were observed for the didactical function of developing conceptual understanding. Implications for research and instructional praxis are provided.
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The Effect of the Layered Curriculum on the 6th Grade Students’ Learning Styles in Science Lesson
curriculum the layered curriculum styles learning styles science...
This study mainly aims to determine the effect of the layered curriculum on the 6th grade students’ learning styles in science lesson. The study group consists of students in the 6/A and 6/D at Fevzi Cakmak Secondary School in the city center of Siirt-Turkey in the academic year of 2015-2016. “Learning Styles Inventory” developed by Kolb and translated into Turkish by Askar and Akkoyunlu, diaries of students and semi-structured interview form developed by researchers and examination of the documents were used as data collection tools. As for data analysis, percent (%) and chi-square techniques were used to determine the learning styles of students, but in the analysis of students’ opinions the descriptive analysis was used. During the study, students were also asked to express their experiences and considerations about learning activities via a diary. The thoughts and feelings reflected in the diaries of students were directly quoted in findings. As a result of the analysis, in pre-test results of the students in the experimental group exposed to the layered curriculum, a significant difference was found in terms of gender; however, no significant difference was found in their post-test results.
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Teachers’ Perceptions of Innovative Learning Model toward Critical Thinking Ability
innovative learning model critical thinking ability mathematics teachers' perceptions...
The aim of this study is to investigate teachers’ perceptions about the importance of learning innovation toward critical thinking ability in learning mathematics. The subjects in this study are the teachers and the students of grade Vin Al-Islam 6 Al-Fajar, Muhammadiyah 23 and Cokroaminoto Islamic Elementary School Surakarta. The research method used in this research is qualitative case study. The problem in the research is the students' mathematics score is low that is seen from the results of the daily test’s students which showed 85% get grades below the minimal mastery criteria there is 60. The analysis technique used is triangulation. Validation used is qualitative descriptive. Based on the results of interviews to a number of teachers who teach mathematics in the fifth-grade in Pasarkliwon sub-district, it can be concluded that students' critical thinking ability in mathematics is low so that it is required innovative learning model used by the teachers.
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Preservice Teachers’ Transforming Perceptions of Science and Mathematics Teacher Knowledge
science/science education mathematics/mathematics education teacher education teacher knowledge petsma...
Teacher Education Programs (TEPs) are intended to prepare students to become qualified professionals in the field of education. Yet, many preservice teachers (PSTs) have difficulty recognizing their new roles, not simply as students in the TEP, but as future educators. As PSTs progress through their coursework, field experiences, and student teaching, their perceptions of teacher knowledge evolves. Teacher educators may assist in positively influencing such transformation through reflective exercises, learning activities, and thoughtful discourse. The present research examines four classroom discussions centered on a mathematics and science activity. These discussions illustrate the changes in perspective with respect to mathematics and science teacher knowledge, among a cohort of elementary PSTs between the beginning and end of their first year in a TEP.
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Field Trial Analysis of Teaching Material Civic Education Based on Problem Based Learning (PBL) to Improve Student’s Outcome
pbl knowledge primary school civic education...
This research is part of developing study on the Civic education teaching material based on PBL. This research aims to determine the process of developing the teaching material of Civic education based on PBL for the fourth-grade of elementary school in order to improve students’ learning outcome. The result of the previous study shows that the teaching material does not currently fulfill the students’ need. Method of research used is a descriptive qualitative and quantitative. This research consists of two activities namely the composing of extensive and limited test. In the implementation, the extensive test has a broader scope than limited test. Methods of collecting data in this research are interview, observation, expert assessment and test. The instruments of this research are interview guide, field notes, expert assessment sheet and test sheet of the student learning outcome. Stages in this activity include the preparation of teaching material Civic education based on PBL, experts’ validation of Civic education teaching material based on PBL, and field trials. The result of this research is a draft of teaching material of Civic education based on PBL including introduction, content and closing. It is eligible used by nine experts. The student learning outcome that uses the teaching material Civic education based on PBL is improved.
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Teacher Rating Scales of Early Academic Competence (TRS-EAC): Adaptation to Turkish, Validity and Reliability
academic competence early childhood validity reliability...
This study aims to conduct Turkish adaptation, validity and reliability studies of the Teacher Rating Scales of Early Academic Competence. This study also aims to examine and improve early academic competence thoroughly on the basis of teachers’ ratings in Turkey, and lastly to contribute an assessment and measurement instrument to the literature which will enable to conduct further research in the field. This study was designed in a general survey model. The study included normally developing 619 36-72 month-old preschoolers attending to nursery classes and kindergartens affiliated to Afyonkarahisar Ministry of National Education in 2015-2016 academic year. The validity and reliability studies of the data obtained following the implementation of TRS-EAC, was completed. The Cronbach Alpha, split half test, test-retest reliability of the scale and its subscales were measured. TRS-EAC was found to be valid and reliable for 36-72 month-old children. It can be considered that the various studies that can be used TRS-EAC in Turkey will provide important contributions to the measurement power of this test.
Evaluating and Improving Teacher Educators’ Language-Oriented Performance in Content-Based Teaching
content based teaching teacher evaluation student evaluation reflective teacher practice language focus areas evaluation utilization...
In general, teacher educators are considered to be educational specialists whose main task is to communicate content-based concepts to prospective teachers. However, unfortunately, most studies on teacher professional development overlook this specific language-oriented aspect of content-based teaching. Therefore, we address the aforementioned research gap and argue that teacher educators’ evaluation of their language-oriented performance in educational communication enhances the quality of their content-based teaching. Accordingly, we examine how the language-oriented performance of teacher educators is evaluated by both individual teacher educators (sample size N=3) and their students (N=32) in a small-scale intervention study. The findings of the study reveal that there is a relationship between the order of application of five language focus areas (i.e., language awareness, active listening, formalizing interaction, language support, and language and learning development, as noticed by the students), and teacher educators’ ability to apply these areas in accordance with their objectives related to content-based teaching.
Does Mathematics Anxiety Have Any Impact on Secondary School Pupils' Friend Choices?
math anxiety informal friendship groups social friendship...
This research was conducted in order to determine whether math anxiety was effective in the selection of secondary school students. This research, in which the mixed method was adopted, was conducted in a secondary school at Siirt. The participants (157 pupils) were determined by convenient sampling method from the four different classes (two 5th grade and two 8th grade). Math anxiety levels of the students were determined by the Mathematics Anxiety Scale. Sociometry technique was used to determine the informal friends groups in each class. For this purpose, a friend preference form was used. Students' friends preferences were transformed into data matrix and Hierarchical Clustering Analysis was used to form informal friends groups for each class. Math anxiety scores of informal groups were compared with Kruskal Wallis test. Accordingly, there were significant differences between the mathematical scores of the informal groups in the branches of the 5th and 8th grades. This finding was evaluated that mathematics anxiety may be a factor in the selection of friends.
A Multi-Level Analysis of Students’ Teacher and Family Relationships on Academic Achievement in Schools
student achievement teacher-student relationship family structure...
By using multi-level modeling, this study explores the impact of students’ perception of the quality of the teacher-student relationship and family structure on student achievement after controlling for socioeconomic status (SES), school urbanicity, and school control. The data from 750 schools and 17,000 10th grade students were analyzed. Family structure and student’s perception of teacher-student relationship, and SES were student-level; school urbanicity and school control were school-level variables. The findings indicated that students, who had a positive perception about their relationship with their teachers, came from families including two biological parents, and had high SES and high math achievement. Students’ SES and attending public school in urban areas were found to be significantly related to students’ math achievement. The math score for public school students was lower than students from private and Catholic schools. The further research should have a design addressing the impact of these variables in a longitudinal term.
Pre-Service Teachers’ Problem Solving Skills and Curiosity Levels
problem solving skill curiosity pre-service teacher...
The aim of the study is to examine the pre-service teachers’ problem solving skills and curiosity levels according to different variables and to determine whether there is a relationship between them. The research was designed as a descriptive study in the survey model. The sample of the study consists of 1st and 4th grade pre-service teachers in the departments of German, Science, English, Mathematics, Music, Pre-school, Painting, English, Mathematics, Turkish Language Teaching at a university in Turkey. “Curiosity Scale” adapted into Turkish by Demirel and Diker Coskun, “Problem Solving Inventory” adapted into Turkish by Sahin, Sahin and Heppner and “Personal Information Form” prepared by the researcher were used as data collection tools. In the analysis of the data obtained, SPSS-Windows 22.00 package program was used and descriptive statistics and parametric tests were applied in accordance with the sub-problems of the study. In addition, a correlation analysis was conducted to determine whether there was a relationship between pre-service teachers’ problem solving skills and curiosity levels. Based on the findings, suggestions about the problem solving skills and curiosity levels of the prospective teachers were presented.
“Science Teaching and Science Teachers” from Students’ Point of View
science course students’ opinions secondary school students...
The current study investigated the opinions of secondary school students taking the science course from different science teachers about the science course and science teachers. The current study was conducted with the participation of 32 students instructed by different science teachers and attending different secondary schools in the fall term of 2018-2019 academic year. The data of the current study were collected by means of semi-structured interviews. In the analysis of the data, the descriptive analysis technique was used. The findings of the current study have revealed that high majority of the students love their science classes and science teachers, that in science classes, lecturing, question-answer and note-taking are methods widely employed, that if there is a smart board in the class, then Okulistik or EBA computer program is on, that the assignments given are from the textbook, that the most frequently adopted behavior by the teachers in the face of any discipline problem is warning and that informal learning environments are not used much. Moreover, it was found that projects are rarely assigned to students and the projects assigned are given as homework. A great majority of the students expect their teachers to be entertaining, they want their lessons to be instructed through games and experiments, and they do not want to write a lot in their classes.
Participatory Concept Mapping as an Integration Tool in Mixed Methods Research: Exploring Preservice Teachers’ Epistemic Cognition and Teaching Orientation
mixed methods research concept mapping integration teachers’ epistemic cognition teaching orientation...
Our goal for this article is two-fold: 1) to examine the efficacy of participatory concept mapping as an integration tool for mixed methods research (MMR), and 2) to explore, using concept mapping, pre-service teachers’ epistemic cognition (EC) and its relationship to teaching orientation (TO). Using a combined developmental and dimensional framework, preservice teachers’ (N=48) concept maps about their (EC) and (TO) were investigated. Analyses revealed that the majority of the participants were consistent with the EC profiles of either: 1) absolutist, 2) multiplist, or 3) evaluativist. Participants’ EC and TO were clearly linked and implications for learning, instruction, and teacher education are discussed. Finally, concept mapping was deemed an effective tool for MMR especially as it pertains to integration.
A Study on Art Interests and Critical Thinking Dispositions of Students in Fine Arts Department of the Faculty of Education
critical thinking training art interest fine arts training teacher training...
In this study, it was aimed to investigate the relationship between the art interests and critical thinking dispositions of the students who study fine arts education in the faculty of education. The sample of the research consisted of 236 fine arts education students including 123 from the department of painting teaching and 113 from the department of music education. In the research, relational survey method was used. It was found in the research that the art interests of the students were at the level that can be considered as good. In addition, it was noticed that the average scores of critical thinking dispositions of the students were at moderate level. One of the findings obtained from the study was that there was no significant difference between the scores of art interest and critical thinking according to gender. Another finding was that art interests of the students in the music department were significantly higher compared with the scores of the students in the department of art education. In addition, a positive moderate level of relationship was found between the art interest and critical thinking, analyticity, inquisitiveness sub-dimensions; significantly low positive relationship with self-confidence, systematicity, searching truth and cognitive maturity sub-dimensions.
Collaboration: A Collective Bargain for Achieving Quality Mathematics Classroom Practice
pedagogies collaboration quality classroom instruction mathematics classroom teaching...
This paper sought to look at collaboration as an effective tool for mathematics classroom instruction. Four preservice teachers in a qualitative case study taught mathematics to three senior secondary school classes in two secondary schools in Northern Nigeria for a period of 15 weeks spread over three years. During this period 12 students volunteered to participate in four focus group discussions on the effectiveness of the pedagogy in their classrooms. Observations, research journals and focus groups were used to collect data for the study. A Narrative approach to data analysis was used to analyses the data collected. The findings of the study suggested that, the preservice teachers had initial challenges introducing the framework into their classrooms, they, however, gradually adopted the pedagogy into their classroom teaching. The study suggested that the preservice teachers used collaborative groupings and higher ordered questions to foster collaboration among their students. Some benefits of this strategy were also highlighted from the study. Prominent among them was the effective teacher-student and student-student relationship, help students see mathematics problems as common problems and reduced the domineering attitude of mathematics teachers who see themselves as possessing the monopoly of knowledge. Other findings observed in the study include the replacement of the teacher-centered approach to teaching with a student-centered approach. Therefore, it is suggested that, if collaboration is introduced into Nigerian mathematics classrooms, the traditional teacher-controlled mathematics classroom instruction that has bedeviled our classrooms will be reduced, and a new student-centered learning approach will be put in place.
Greek Pre-Service Primary Teachers’ Efficacy Beliefs in Science and Mathematics Teaching: Initial Adaptation of the STEBI-B and MTEBI Instruments
self-efficacy beliefs outcome expectancy pre-service primary teachers stebi-b mtebi...
Contemporary educational reforms, both in the fields of science and mathematics, highlight the importance of pre-service teachers’ preparation with regard to several meaningful standards. However, teachers’ own self-confidence in science and mathematics teaching are likely to influence their efforts. Framed within a growing body of research focusing on pre-service teachers’ efficacy beliefs in science and mathematics teaching, the present study attempts to investigate Greek pre-service primary teachers’ efficacy beliefs in science and mathematics teaching; and further examine whether there is a relationship between the two. Participants comprised 171 pre-service primary teachers, who were in their second (n = 55), third (n = 64) or fourth year (n = 52) of study and the majority were female (n = 148). Pre-service teachers were asked to complete a questionnaire consisting of the Science Teaching Efficacy Belief Instrument - Form B (STEBI-B) and the Mathematics Teaching Efficacy Belief Instrument (MTEBI). Principal component analyses and reliability analyses were performed for both instruments to examine their adaptation into Greek. According to the results, preservice teachers had medium to high scores in the personal efficacy and outcome expectancy scales, for both science and mathematics teaching. Minor differences in pre-service teachers’ scores were detected according to their year of study. Furthermore, pre-service teachers’ efficacy beliefs in science were strongly correlated with their efficacy beliefs in mathematics. In general, although pre-service teachers appeared to be confident and well-prepared to teach science and mathematics in classrooms, more effort is required to put the international education reform standards into practice.
Analysis of the Science Course Curriculum Objectives and High School Entrance Examination Questions According to TIMSS Framework
timss high school entrance examination science curriculum cognitive domain content domain...
The aim of this study is to compare 2018 Science Course Curriculum (SCC), 2015 Trends in International Mathematics and Science Study (TIMSS) and 2018 High School Entrance Examination (HSE) in terms of content domains, cognitive domains and learning objectives. Qualitative research method, was used in this study. Data were analyzed using document review matrices to determine the similarities and differences between the objectives of SCC, TIMSS and HSE. SCC outcomes and HSE science questions were also classified according to TIMSS cognitive domains. Results show that the learning objectives of the fields of Physics, Biology and Earth Sciences of TIMSS are compatible with those of all grade levels of SCC and that the objectives of Chemistry are compatible with those of the seventh and eighth grades. Most of HSE questions are compatible with the objectives of SCC, however, the latest revision in the curriculum has introduced some eighth grade objectives to other grade levels. HSE science questions measure higher-level skills than TIMSS science questions. The subject domain of the “Organisms and Life” of SCC has the most learning objectives in the levels of “knowing” and “reasoning” while the subject domain of the “Physical Events” has the most learning objectives in the levels of “applying.” Besides, the seventh-, fifth- and eighth-graders have the most objectives in the levels of “knowing,” “applying,” and “reasoning,” respectively. It is hoped that the results will contribute the literature in improvement of science curricula and interpretation of national and international exams.