Sample records for student mathematics teachers

  1. The Characteristics of a Good Mathematics Teacher in Terms of Students, Mathematics Teachers, and School Administrators (United States)

    Yesildere-Imre, Sibel


    This qualitative research aims to examine the opinions of school administrators, teachers, and middle school students about what makes a good mathematics teacher. Interviews were conducted with thirty-five participants: ten school administrators, ten mathematics teachers, and fifteen middle school students. A semi-structured interview form…

  2. Associations between teacher-student interpersonal behaviour and student attitude to mathematics (United States)

    Fisher, Darrell; Rickards, Tony


    This article reports on research using a convenient questionnaire designed to allow mathematics teachers to assess teacher-student interpersonal behaviour in their classrooms. The various forms of the Questionnaire on Teacher Interaction (QTI) are discussed, and its use in past research is summarised. The article provides validation data for the first use of the QTI with a large sample of mathematics classrooms and examines the relation of teacher-student interpersonal behaviour to student attitude. It also describes how mathematics teachers can and have used the questionnaire to assess perceptions of their own teacher-student interpersonal behaviour, and how they have used such assessments as a basis for reflecting on their own teaching. The QTI may thus provide a basis for systematic attempts to improve one's own teaching practice.

  3. Teacher Identification of Student Learned Helplessness in Mathematics (United States)

    Yates, Shirley


    Teachers frequently encounter students with learned helplessness who are discouraged, turned off, or have given up trying to learn mathematics. Although learned helplessness has a long history in psychology, there has been no reliable means by which mathematics teachers can identify students exhibiting these debilitating yet changeable…

  4. The Relationship Between Teachers' Mathematical Content and Pedagogical Knowledge, Teachers' Perceptions, and Student Achievement (United States)

    Campbell, Patricia F.; Nishio, Masako; Smith, Toni M.; Clark, Lawrence M.; Conant, Darcy L.; Rust, Amber H.; DePiper, Jill Neumayer; Frank, Toya Jones; Griffin, Matthew J.; Choi, Youyoung


    This study of early-career teachers identified a significant relationship between upper-elementary teachers' mathematical content knowledge and their students' mathematics achievement, after controlling for student- and teacher-level characteristics. Findings provide evidence of the relevance of teacher knowledge and perceptions for teacher…

  5. Secondary School Mathematics Teachers' and Students' Views on Computer Assisted Mathematics Instruction in Turkey: Mathematica Example (United States)

    Ardiç, Mehmet Alper; Isleyen, Tevfik


    This study aimed at determining the secondary school mathematics teachers' and students' views on computer-assisted mathematics instruction (CAMI) conducted via Mathematica. Accordingly, three mathematics teachers in Adiyaman and nine 10th-grade students participated in the research. Firstly, the researchers trained the mathematics teachers in the…

  6. Understanding Mathematics Classroom Instruction Through Students and Teachers


    Schenke, Katerina


    High quality instruction is necessary for students of all ages to develop a deep understanding of mathematics. Value-added models, a common approach used to describe teachers and classroom practices, are defined by the student standardized achievement gains teachers elicit. They may, however, fail to account for the complexity of mathematics instruction as it actually occurs in the classroom. To truly understand both a teacher’s impact on his/her students and how best to improve student learn...

  7. Experiences of Student Mathematics-Teachers in Computer-Based Mathematics Learning Environment (United States)

    Karatas, Ilhan


    Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving…

  8. What Secondary Teachers Think and Do about Student Engagement in Mathematics (United States)

    Skilling, Karen; Bobis, Janette; Martin, Andrew J.; Anderson, Judy; Way, Jennifer


    What teachers' think about student engagement influences the teaching practices they adopt, their responses to students and the efforts they make in the classroom. Interviews were conducted with 31 mathematics teachers from ten high schools to investigate their perceptions and beliefs about student engagement in mathematics. Teachers also reported…

  9. Student mathematical activity as a springboard to developing teacher didactisation practices

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    Piera Biccard


    Full Text Available This article is part of a larger study on teacher development. The main study investigated teacher development within primary school Mathematics teachers’ classrooms to determine if teaching practices could be enhanced through a didactisation-based programme. It sought to develop teachers within their own environments and classrooms. Design research (both designing the conditions for change and studying the results of those conditions enabled the researchers to design a programme that was congruent with teachers’ own needs and experiences. The programme ran for a period of a year with regular contact between the teachers and the researcher conducting the programme (the first author. The programme set out nine didactisation practices: active students, differentiation, mathematisation, vertically aligned lessons, accessing student thinking and ideas, probing student thinking and ideas, connecting student ideas, assessing students and reflecting on practice. One practice, student activity, is the focus of this article. It was found that by initiating discussion and cognitive conflict in teachers by using modelling problems, and further allowing teachers to observe pupils working in groups with modelling problems, teachers were starting to incorporate the didactisation practices within their own classrooms. This article documents specifically the fundamental role of student mathematical activity and the importance of improving student mathematical experiences, both for teacher development and for student mathematical learning. The study may be valuable in structuring and planning further effective teacher development programmes.

  10. Teacher Practices: How They Promote or Hinder Student Engagement in Mathematics (United States)

    Skilling, Karen


    With persistent concerns about student engagement, interest and participation in mathematics, this research investigated the range of practices 31 Year 7 mathematics teachers reported using and how they perceived these practices influenced student engagement in mathematics. In-depth interviews revealed similarities in teachers' perceptions of…

  11. Motivation and engagement in mathematics: a qualitative framework for teacher-student interactions (United States)

    Durksen, Tracy L.; Way, Jennifer; Bobis, Janette; Anderson, Judy; Skilling, Karen; Martin, Andrew J.


    We started with a classic research question (How do teachers motivate and engage middle year students in mathematics?) that is solidly underpinned and guided by an integration of two theoretical and multidimensional models. In particular, the current study illustrates how theory is important for guiding qualitative analytical approaches to motivation and engagement in mathematics. With little research on how teachers of mathematics are able to maintain high levels of student motivation and engagement, we focused on developing a qualitative framework that highlights the influence of teacher-student interactions. Participants were six teachers (upper primary and secondary) that taught students with higher-than-average levels of motivation and engagement in mathematics. Data sources included one video-recorded lesson and associated transcripts from pre- and post-lesson interviews with each teacher. Overall, effective classroom organisation stood out as a priority when promoting motivation and engagement in mathematics. Results on classroom organisation revealed four key indicators within teacher-student interactions deemed important for motivation and engagement in mathematics—confidence, climate, contact, and connection. Since much of the effect of teachers on student learning relies on interactions, and given the universal trend of declining mathematical performance during the middle years of schooling, future research and intervention studies might be assisted by our qualitative framework.

  12. The Mathematics Education Debates: Preparing Students to Become Professionally Active Mathematics Teachers (United States)

    Munakata, Mika


    The Mathematics Education Debate is an assignment designed for and implemented in an undergraduate mathematics methods course for prospective secondary school mathematics teachers. For the assignment, students read and analyze current research and policy reports related to mathematics education, prepare and present their positions, offer…

  13. Classroom Climate among Teacher Education Mathematics Students

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    Polemer M. Cuarto


    Full Text Available Classroom climate has gained prominence as recent studies revealed its potentials as an effective mediator in the various motivational factors as well as an antecedent of academic performance outcome of the students. This descriptive-correlational study determined the level of classroom climate dimensions among teacher education students specializing in Mathematics at Mindoro State College of Agriculture and Technology. Employing a self-structured questionnaire adapted to the WIHIC (What Is Happening In this Class questionnaire, the surveyed data were treated statistically using Pearson’s r. Result showed that there was high level of classroom climate among the respondents in their Mathematics classes in both teacher-directed and student-directed dimensions specifically in terms of equity, teacher support, cohesiveness, involvement, responsibility and task orientation. Also, it revealed that equity and teacher support were both positively related to the students-directed classroom climate dimensions. With these results, teachers are seen to be very significant determinants of the climate in the classroom. Relevant to this, the study recommended that faculty should develop effective measures to enhance classroom climate dimensions such as equity and teacher support to address the needs of diverse studentsdespite large size classes. Moreover, faculty should provide greater opportunitiesfor the students to achieve higher level of responsibility, involvement, cohesiveness, and task orientation as these could motivate them to develop positive learning attitude, perform to the best of their ability, as well as maximize their full potential in school.

  14. Developing Culturally Responsive Mathematics Teachers: Secondary Teachers' Evolving Conceptions of Knowing Students (United States)

    Parker, Frieda; Bartell, Tonya Gau; Novak, Jodie D.


    Research advances in teaching, learning, curriculum, and assessment have not changed the continued underperformance of marginalized students in mathematics education. Culturally responsive teaching is a means of addressing the needs of these students. It is sometimes challenging, however, to convince secondary mathematics teachers about the…

  15. The Relationship between Mathematics Teachers' Teaching Approaches and 9th Grade Students' Mathematics Self (United States)

    Briede, Liene


    The aim of the study is to investigate the relationship between the teaching approach adopted by mathematics teachers and their 9th grade students' mathematical self. The study searched for the answers on three research questions, namely, about 1) the approaches prevailing in mathematics teachers' beliefs about effective teaching and self-reports…

  16. Helping Mathematics Teachers Develop Noticing Skills: Utilizing Smartphone Technology for One-on-One Teacher/Student Interviews (United States)

    Chao, Theodore; Murray, Eileen; Star, Jon R.


    Teaching mathematics for understanding requires listening to each student's mathematical thinking, best elicited in a one-on-one interview. Interviews are difficult to enact in a teacher's busy schedule, however. In this study, the authors utilize smartphone technology to help mathematics teachers interview a student in a virtual one-on-one…

  17. Mathematics Teachers' Perceptions of Their Students' Mathematical Competence: Relations to Mathematics Achievement, Affect, and Engagement in Singapore and Australia (United States)

    Areepattamannil, Shaljan; Kaur, Berinderjeet


    This study, drawing on data from the Trends in International Mathematics and Science Study (TIMSS) 2011, examined whether mathematics teachers' perceptions of their students' mathematical competence were related to mathematics achievement, affect toward mathematics, and engagement in mathematics lessons among Grade 8 students in Singapore and…

  18. Students' Attitudes towards Mathematics and the Impacts of Mathematics Teachers' Approaches on It (United States)

    Elçi, Aysun Nüket


    The purpose of the study is to determine students' attitudes towards mathematics, to investigate these attitudes according to the different variables, and to reveal the impacts of mathematics teachers' approaches and in-class activities on the students' attitudes towards mathematics. The study was conducted with the high school students from…

  19. Preservice Secondary Mathematics Teachers' Knowledge of Students (United States)

    Kilic, Hulya


    The aim of this paper is to present the nature of preservice secondary mathematics teachers' knowledge of students as emerged from a study investigating the development of their pedagogical content knowledge in a methods course and its associated field experience. Six preservice teachers participated in the study and the data were collected in the…

  20. Adolescent-perceived parent and teacher overestimation of mathematics ability: Developmental implications for students' mathematics task values. (United States)

    Gniewosz, Burkhard; Watt, Helen M G


    This study examines whether and how student-perceived parents' and teachers' overestimation of students' own perceived mathematical ability can explain trajectories for adolescents' mathematical task values (intrinsic and utility) controlling for measured achievement, following expectancy-value and self-determination theories. Longitudinal data come from a 3-cohort (mean ages 13.25, 12.36, and 14.41 years; Grades 7-10), 4-wave data set of 1,271 Australian secondary school students. Longitudinal structural equation models revealed positive effects of student-perceived overestimation of math ability by parents and teachers on students' intrinsic and utility math task values development. Perceived parental overestimations predicted intrinsic task value changes between all measurement occasions, whereas utility task value changes only were predicted between Grades 9 and 10. Parental influences were stronger for intrinsic than utility task values. Teacher influences were similar for both forms of task values and commenced after the curricular school transition in Grade 8. Results support the assumptions that the perceived encouragement conveyed by student-perceived mathematical ability beliefs of parents and teachers, promote positive mathematics task values development. Moreover, results point to different mechanisms underlying parents' and teachers' support. Finally, the longitudinal changes indicate transition-related increases in the effects of student-perceived overestimations and stronger effects for intrinsic than utility values. (PsycINFO Database Record (c) 2017 APA, all rights reserved).

  1. Collaborative innovations with rural and regional secondary teachers: enhancing student learning in mathematics (United States)

    Pegg, John; Panizzon, Debra


    When questioned, secondary mathematics teachers in rural and regional schools in Australia refer to their limited opportunities to engage and share experiences with peers in other schools as an under-utilised and cost-effective mechanism to support their professional learning and enhance their students' learning. The paper reports on the creation and evaluation of a network of learning communities of rural secondary mathematics teachers around a common purpose—enhancement and increased engagement of student learning in mathematics. To achieve this goal, teams of teachers from six rural schools identified an issue hindering improved student learning of mathematics in their school. Working collaboratively with support from university personnel with expertise in curriculum, assessment and quality pedagogy, teachers developed and implemented strategies to address an identified issue in ways that were relevant to their teaching contexts. The research study identifies issues in mathematics of major concern to rural teachers of mathematics, the successes and challenges the teachers faced in working in learning communities on the issue they identified, and the efficacy of the professional learning model.

  2. Students discussing their mathematical ideas: the role of the teacher

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    Pijls, M.; Dekker, R.


    This article adds to current research on enhancing student discourse in mathematics teaching specifically in secondary schools but with equal relevance to elementary schools. Three mathematics teachers in secondary education were confronted with the question of how to encourage students to discuss

  3. Learning Mathematics for Teaching Mathematics: Non-Specialist Teachers' Mathematics Teacher Identity (United States)

    Crisan, Cosette; Rodd, Melissa


    A non-specialist teacher of mathematics is a school teacher who qualified to teach in a subject other than mathematics yet teaches mathematics to students in secondary school. There is an emerging interest internationally in this population, a brief report of which is given in the paper. Because of concerns about the quality of non-specialists'…

  4. Improving Student Teachers' Attitudes to Mathematics (United States)

    Amato, Solange Amorim


    The research results presented in this paper were part of an action research performed with the aims of improving primary school student teachers (STs)' understanding of, and attitudes to, mathematics. The teaching strategies used to help STs' improve their understanding and attitudes were similar to the ones suggested for their future use in…

  5. The Realities of Teaching Elementary Mathematics by Student Teachers: A Phenomenological Probe

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    Jo Ann M. Petancio


    Full Text Available This study probed into the lived experiences of the student-teachers as they go through teaching Elementary Mathematics. Apart from Mathematics, these student-teachers who are generalists teach the other seven subjects. This phenomenological study was conducted during the first semester, school year 2017-2018 in Cebu Normal University-Integrated Laboratory School in Cebu City, Philippines. The researchers interviewed twelve student teachers and used Colaizzi’s method of data analysis. Results revealed that the essence of teaching Math from the lens of elementary student teachers is condensed in the following themes: a Emotional mix-up; b Challenging; c Never stop learning and reach out for help; d Success is a joint venture of teacher and student; e Values count; f We are work in progress. The researchers recommend that teacher education institutions may consider revisiting their policies and practices to strengthen the support lent by the supervisor, mentors and staff to the budding teachers; providing supplemental training and coaching towards improving the student teachers’ pedagogical content knowledge in Math; and providing the pre-service teachers with reflective strategies in processing one’s own experiences in teaching the subject. Moreover, since elementary student-teachers teach not only Math but the other subjects as well, the researchers also recommend that further researches may be conducted on topics related on how the teaching of the other subjects influence one’s way of teaching Mathematics.

  6. Digital games and learning mathematics: Student, teacher and parent perspectives

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    Su Ting Yong


    Full Text Available The purpose of this study was to explore the potential use of digital games in learning mathematics at secondary school level in Malaysia. Three secondary school students, three mathematics teachers and three parents were interviewed in this study. All the participants were asked for their views and experiences in mathematics, technology usage and the use of digital games in learning mathematics. The results suggested that students were supportive and positive towards the use of computer games in learning mathematics. Nevertheless, parents preferred conventional teaching approach, in which they recognized personal communication and socialization as a significant component in learning. Although the teachers did not go on to oppose the idea of using computer games for teaching mathematics, they still perceived the use of discursive approaches as the best teaching approach for learning mathematics with digital technologies at best a possible additional complementary feature. In view of that, the combination of classroom teaching and computer games might the best mathematics pedagogy. 

  7. Prospective Mathematics Teachers' Ability to Identify Mistakes Related to Angle Concept of Sixth Grade Students (United States)

    Arslan, Cigdem; Erbay, Hatice Nur; Guner, Pinar


    In the present study we try to highlight prospective mathematics teachers' ability to identify mistakes of sixth grade students related to angle concept. And also we examined prospective mathematics teachers' knowledge of angle concept. Study was carried out with 30 sixth-grade students and 38 prospective mathematics teachers. Sixth grade students…

  8. Digital games and learning mathematics: Student, teacher and parent perspectives


    Su Ting Yong; Peter Gates; Ian Harrison


    The purpose of this study was to explore the potential use of digital games in learning mathematics at secondary school level in Malaysia. Three secondary school students, three mathematics teachers and three parents were interviewed in this study. All the participants were asked for their views and experiences in mathematics, technology usage and the use of digital games in learning mathematics. The results suggested that students were supportive and positive towards the use of computer game...

  9. Teacher Classroom Practices, Student Motivation and Mathematics Achievements in High School: Evidence from HSLS:09 Data


    Yu, Rongrong


    The present study explored the direct influences of teacher classroom practices, including teacher support, conceptual teaching, and procedural teaching, on 9th grade students' mathematics achievement, and the indirect influences of these teacher variables on student mathematics achievement through students' mathematics self-efficacy and interest in mathematics courses. The base year data of High School Longitudinal Study of 2009 (HSLS: 09) was used for this study. Structural equation modelin...

  10. To what extent do student teachers develop their mathematical problem solving ability by self-study?


    Kool, Marjolein; Keijzer, Ronald


    A primary teacher needs mathematical problem solving ability. That is why Dutch student teachers have to show this ability in a nationwide mathematics test that contains many non-routine problems. Most student teachers prepare for this test by working on their own solving test-like problems. To what extent does these individual problem solving activities really contribute to their mathematical problem solving ability? Developing mathematical problem solving ability requires reflective mathema...

  11. CASCADE-IMEI: A learning environment of realistic mathematics for student teachers in Indonesia

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    Zulkardi, Z.; Nieveen, N.M.


    This paper reports on the second phase of a four-year study which aims to develop a learning environment that supports prospective mathematics teachers learning realistic mathematics education (RME) in teacher education in Indonesia. The results suggest that by giving student teachers experiences in

  12. To what extent do student teachers develop their mathematical problem solving ability by self-study?

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    Marjolein Kool; Ronald Keijzer


    A primary teacher needs mathematical problem solving ability. That is why Dutch student teachers have to show this ability in a nationwide mathematics test that contains many non-routine problems. Most student teachers prepare for this test by working on their own solving test-like problems. To what

  13. To What Extent Do Teacher-Student Interaction Quality and Student Gender Contribute to Fifth Graders' Engagement in Mathematics Learning? (United States)

    Rimm-Kaufman, Sara E.; Baroody, Alison E.; Larsen, Ross A. A.; Curby, Timothy W.; Abry, Tashia


    This study examines concurrent teacher-student interaction quality and 5th graders' (n = 387) engagement in mathematics classrooms (n = 63) and considers how teacher-student interaction quality relates to engagement differently for boys and girls. Three approaches were used to measure student engagement in mathematics: Research assistants observed…

  14. Learning biology through connecting mathematics to scientific mechanisms: Student outcomes and teacher supports (United States)

    Schuchardt, Anita

    Integrating mathematics into science classrooms has been part of the conversation in science education for a long time. However, studies on student learning after incorporating mathematics in to the science classroom have shown mixed results. Understanding the mixed effects of including mathematics in science has been hindered by a historical focus on characteristics of integration tangential to student learning (e.g., shared elements, extent of integration). A new framework is presented emphasizing the epistemic role of mathematics in science. An epistemic role of mathematics missing from the current literature is identified: use of mathematics to represent scientific mechanisms, Mechanism Connected Mathematics (MCM). Building on prior theoretical work, it is proposed that having students develop mathematical equations that represent scientific mechanisms could elevate their conceptual understanding and quantitative problem solving. Following design and implementation of an MCM unit in inheritance, a large-scale quantitative analysis of pre and post implementation test results showed MCM students, compared to traditionally instructed students) had significantly greater gains in conceptual understanding of mathematically modeled scientific mechanisms, and their ability to solve complex quantitative problems. To gain insight into the mechanism behind the gain in quantitative problem solving, a small-scale qualitative study was conducted of two contrasting groups: 1) within-MCM instruction: competent versus struggling problem solvers, and 2) within-competent problem solvers: MCM instructed versus traditionally instructed. Competent MCM students tended to connect their mathematical inscriptions to the scientific phenomenon and to switch between mathematical and scientifically productive approaches during problem solving in potentially productive ways. The other two groups did not. To address concerns about teacher capacity presenting barriers to scalability of MCM

  15. The Effect of Teacher Beliefs on Student Competence in Mathematical Modeling--An Intervention Study (United States)

    Mischo, Christoph; Maaß, Katja


    This paper presents an intervention study whose aim was to promote teacher beliefs about mathematics and learning mathematics and student competences in mathematical modeling. In the intervention, teachers received written curriculum materials about mathematical modeling. The concept underlying the materials was based on constructivist ideas and…

  16. Going beyond the Syllabus: A Study of a Level Mathematics Teachers and Students (United States)

    Suto, Irenka; Elliott, Gill; Rushton, Nicky; Mehta, Sanjana


    We explored teachers' views and students' experiences of going beyond the syllabus in Advanced (A) level Mathematics. Questionnaires were sent to teachers and students in a sample of 200 schools and colleges. Teachers were asked about the necessity, importance and benefits of additional teaching. Students were asked about the extra activities they…

  17. Students' and teachers' perceptions of single-sex and mixed-sex mathematics classes (United States)

    Rennie, Léonie J.; Parker, Lesley H.


    This study examines students' perceptions of the learning settings in single-sex and mixed-sex mathematics classes, and teachers' responses to those different classroom contexts. Nearly 300 students in four coeducational secondary schools gave their views of the nature of their participation and interaction in their mathematics classrooms, and data were also obtained from their teachers. There was congruence between students' and teachers' perceptions of the environment in the two kinds of classrooms. Overall, it was perceived that single-sex classrooms provided a more supportive environment for girls, but a rather less supportive environment for boys. Teachers used different strategies with the two kinds of classes and, although many experienced initial difficulty with unruly boys' classes, these problems were overcome. The single-sex environment provided opportunities for teachers to address apparent shortcomings arising from boys' and girls' previous educational experience, which resulted in improved attitudes and performance.

  18. Prospective Mathematics Teachers' Perceptions on and Adaptation of Student-Centred Approach to Teaching (United States)

    Osmanoglu, Aslihan; Dincer, Emrah Oguzhan


    The aim of this study was to investigate prospective secondary mathematics teachers' perceptions on and adaptation of student-centred approach to teaching. The study was conducted with 58 prospective secondary mathematics teachers who were the graduates from mathematics departments from different universities' Science and Literature faculties.…

  19. Perspectives on instructor modeling in mathematics teacher education


    Brown, Cassondra


    Teachers' instructional practices are greatly shaped by their own learning experiences as students in K-12 and college classrooms, which for most teachers was traditional, teacher-centered instruction. One of the challenges facing mathematics education reform is that, traditional teaching is in contrast to reform student- centered instruction. If teachers learn from their experiences as mathematics students, mathematics teacher educators are encouraged to model practices they would like teach...

  20. Self-Perception versus Students' Perception of Teachers' Personal Style in College Science and Mathematics Courses (United States)

    Ben-Chaim, David; Zoller, Uri


    This study focuses on the assessment of students' (N=138) versus their teachers' (N=8) self-perception of the latter's personal style (PS) in the context of science and mathematics teaching in college; it uses the Personal Style Questionnaire and structured interviews for this purpose. The teacher's preferred (the ideal) and the actual personal style profiles thus obtained indicate that there is a good correspondence between the students' and teachers' perceptions concerning the preferred personal style of teachers. It also indicates that the students assess quite adequately the actual PS of their teachers. Regarding the significance of the association between the students' preferred and the teachers' actual PS in College science and mathematics teaching for effective learning, the self-modification of PS by reflective prospective and in-service science teachers is recommended.

  1. Developing a learning environment on realistic mathematics education for Indonesian student teachers

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    Zulkardi, Z.


    The CASCADE-IMEI study was started to explore the role of a learning environment (LE) in assisting mathematics student teachers learning Realistic Mathematics Education (RME) as a new instructional approach in mathematics education in Indonesia. The LE for this study has been developed and evaluated

  2. Investigating Middle School Math and Primary Teachers' Judgments of the Characteristics of Mathematically Gifted Students

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    Şule Güçyeter


    Full Text Available The purpose of this study was to investigate teachers’ judgments of mathematically gifted students’ characteristics with respect to various variables. Data were collected from primary school teachers and middle school math teachers (N=161 by using a survey instrument. According to research findings most of the teachers tended to think that mathematical giftedness is being observed more frequently within boys than girls. There was a statistically significant relationship between teachers’ responses about whether mathematical giftedness could be developed or not who have mathematically gifted students and those who have not. But there was no statistically significant relationship among teachers’ branch, teaching experience and their answers about the development of mathematical giftedness. Results showed that there was a statistically significant relationship between teachers’ selfperception of being mathematically gifted and their experience with mathematically gifted students. Total scores of more popular and most popular characteristics that were determined by teachers had a positive correlation with teachers’ experience. Key Words:

  3. Strategies Used to Teach Mathematics to Special Education Students from the Teachers' Perspective (United States)

    Brown, Desline A.


    The perspectives of special education teachers on the strategies used to teach mathematics to special education students were examined in this dissertation. Three central research questions that guided the study are: (a) What were New York special education teachers' opinions about the methods they use to teach mathematics to special education…

  4. The Relationship among Elementary Teachers’ Mathematics Anxiety, Mathematics Instructional Practices, and Student Mathematics Achievement


    Hadley, Kristin M.; Dorward, Jim


    Many elementary teachers have been found to have high levels of mathematics anxiety but the impact on student achievement was unknown. Elementary teachers (N = 692) completed the modified Mathematics Anxiety Rating Scale-Revised (Hopko, 2003) along with a questionnaire probing anxiety about teaching mathematics and current mathematics instructional practices. Student mathematics achievement data were collected for the classrooms taught by the teachers. A positive relationship was found betwee...

  5. 10 Good Reasons to Mentor a Student Teacher: Advantages for Supervising Mathematics Teachers and Their Classes (United States)

    Cavanagh, Michael; Prescott, Anne


    The authors have been conducting research with early career secondary mathematics teachers in metropolitan Sydney, focusing particularly on the professional experiences of student teachers. As part of the research, 12 supervising teachers were visited at their schools. Seven of them were interviewed individually about their role in developing the…

  6. Student-Teachers in Higher Education Institutions' (HEIs) Emotional Intelligence and Mathematical Competencies (United States)

    Eustaquio, William Rafael


    As manifested by various studies conducted, the present state of Mathematics education in the teaching-learning process is relatively declining and the existing effort to identify emotional intelligence and mathematics competencies of Mathematics major student-teachers at Higher Education Institutions in Isabela is an attempt to help alleviate the…

  7. High school mathematics teachers' perspectives on the purposes of mathematical proof in school mathematics (United States)

    Dickerson, David S.; Doerr, Helen M.


    Proof serves many purposes in mathematics. In this qualitative study of 17 high school mathematics teachers, we found that these teachers perceived that two of the most important purposes for proof in school mathematics were (a) to enhance students' mathematical understanding and (b) to develop generalized thinking skills that were transferable to other fields of endeavor. We found teachers were divided on the characteristics (or features) of proofs that would serve these purposes. Teachers with less experience tended to believe that proofs in the high school should adhere to strict standards of language and reasoning while teachers with more experience tended to believe that proofs based on concrete or visual features were well suited for high school mathematics. This study has implications for teacher preparation because it appears that there is a wide variation in how teachers think about proof. It seems likely that students would experience proof very differently merely because they were seated in different classrooms.

  8. Mathematics Student Teachers' Epistemological Beliefs about the Nature of Mathematics and the Goals of Mathematics Teaching and Learning in the Beginning of Their Studies (United States)

    Viholainen, Antti; Asikainen, Mervi; Hirvonen, Pekka E.


    This article examines Finnish mathematics student teachers' epistemological beliefs concerning the nature of mathematics and the goals of mathematics teaching and learning solely in the beginning of their studies at university. A total of 18 students participated in a study consisting of a short questionnaire and interviews. The data was analyzed…

  9. Does perceived teacher affective support matter for middle school students in mathematics classrooms? (United States)

    Sakiz, Gonul; Pape, Stephen J; Hoy, Anita Woolfolk


    The purpose of the present study was to explore the importance of perceived teacher affective support in relation to sense of belonging, academic enjoyment, academic hopelessness, academic self-efficacy, and academic effort in middle school mathematics classrooms. A self-report survey was administered to 317 seventh- and eighth-grade students in 5 public middle schools. Structural equation modeling indicated significant associations between perceived teacher affective support and middle school students' motivational, emotional, and behavioral outcomes. The structural model explained a significant proportion of variance in students' sense of belonging (42%), academic enjoyment (43%), self-efficacy beliefs (43%), academic hopelessness (18%), and academic effort (32%) in mathematics classrooms. In addition to providing the basis for a concise new measure of perceived teacher affective support, these findings point to the importance of students' perceptions of the affective climate within learning environments for promoting academic enjoyment, academic self-efficacy, and academic effort in mathematics. Copyright © 2011 Society for the Study of School Psychology. Published by Elsevier Ltd. All rights reserved.

  10. Lowering Preservice Teachers' Mathematics Anxiety through an Experience-Based Mathematics Methods Course. (United States)

    Conrad, Karen S.; Tracy, Dyanne M.

    Research has shown that elementary teachers are mathematics anxious, and that this anxiousness can be transmitted to their students. Therefore, many students are not afforded the opportunity to participate in a comfortable mathematics environment. Preservice elementary teachers (n=63) reported their pre- and posttest mathematics anxiety using the…

  11. Teaching Mathematics to Secondary Students with Emotional and Behavioral Disorders: Challenges and Practical Suggestions for Teachers (United States)

    Mulcahy, Candace A.; Krezmien, Michael; Maccini, Paula


    While the Common Core State Standards and state learning standards guide teachers in what mathematical content knowledge should be addressed as well as the processes and proficiencies necessary for developing mathematical competence, several student- and teacher-related factors may hinder student access to the general education curriculum for…

  12. Using drawings to bridge the transition from student to future teacher of mathematics

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    Ji-Eun Lee


    Full Text Available This study examines a group of prospective teachers’ reflections upon the way they were taught (Set 1 and the way they want to teach (Set 2 through drawings which respectively describe their past learning experiences as students and their future plans as teachers. The purpose of this study is to identify: (a the emerging themes that appear in each set of drawing data, (b the possible factors that influence prospective teachers’ drawings, and (c the implications for mathematics teacher educators. Overall, prospective teachers showed predominantly negative or mixed feelings about their past experiences as mathematics students. In response to their own past negative experiences and struggles, the prospective teachers tended to highlight emotionally supportive classroom environment and versatile instructional teaching strategies in their future plans. This study suggests that this activity of reflecting past experience and planning future teaching assimilates prospective teachers’ identities as math students and math teachers and provides a window into the thinking of others.

  13. Using Drawings to Bridge the Transition from Student to Future Teacher of Mathematics

    Directory of Open Access Journals (Sweden)

    Ji-Eun LEE


    Full Text Available This study examines a group of prospective teachers’ reflections upon the way they were taught (Set 1 and the way they want to teach (Set 2 through drawings which respectively describe their past learning experiences as students and their future plans as teachers. The purpose of this study is to identify: (a the emerging themes that appear in each set of drawing data, (b the possible factors that influence prospective teachers’ drawings, and (c the implications for mathematics teacher educators. Overall, prospective teachers showed predominantly negative or mixed feelings about their past experiences as mathematics students. In response to their own past negative experiences and struggles, the prospective teachers tended to highlight emotionally supportive classroom environment and versatile instructional teaching strategies in their future plans. This study suggests that this activity of reflecting past experience and planning future teaching assimilates prospective teachers’ identities as math students and math teachers and provides a window into the thinking of others.

  14. What do mathematics teachers and teacher trainees know about the history of mathematics? (United States)

    Gazit, Avikam


    The aim of this study is to present the findings of a study that examined the knowledge of mathematics teachers and teacher trainees, in different tracks, about the concepts, topics and characters from the history of mathematics. The findings indicate a lack of knowledge concerning most of the topics examined. Only about 40% of the participants knew about the origin of our counting system and the only item that reached above 50% was the item relating to the man who edited the book which is the basis for the plane geometry - Euclid (about 83%). Another meaningful finding was that the group with the highest score was that of mathematics teacher trainees in the accelerated track - a unique training scheme for middle school teachers (65.7%). The group with the lowest score was that of the elementary school mathematics student teachers (19.3%). One obvious conclusion is that we need to strengthen the knowledge of the history of mathematics in teacher training and in-service teachers' advanced studies.

  15. Teachers' Motivating Methods to Support Thai Ninth Grade Students' Levels of Motivation and Learning in Mathematics Classrooms (United States)

    Nenthien, Sansanee; Loima, Jyrki


    The aims of this qualitative research were to investigate the level of motivation and learning of ninth grade students in mathematics classrooms in Thailand and to reveal how the teachers supported students' levels of motivation and learning. The participants were 333 students and 12 teachers in 12 mathematics classrooms from four regions of…

  16. Teacher Gender and Student Performance in Mathematics. Evidence from Catalonia (Spain) (United States)

    Escardíbul, Josep-Oriol; Mora, Toni


    This paper analyses the impact of teacher gender towards students' test results in a blinded Math test administered to students in Catalonia (Spain). The data for this analysis are drawn from a sample of secondary school students who participated in an international blind-test known as the "Mathematical Kangaroo" in 2008. The estimation…

  17. Longitudinal Effects of Technology Integration and Teacher Professional Development on Students' Mathematics Achievement (United States)

    Bicer, Ali; Capraro, Robert M.


    MathForward is a program that provides teacher professional development and integrates the use of technology as a tool in the classroom. The present study examined students' mathematics growth from 2012 to 2013 and observed how students' mathematics scores changed after their school implemented the MathForward program. The sample consisted of two…

  18. Coaching Pre-Service Teachers for Teaching Mathematics: The Views of Students (United States)

    Averill, Robin; Drake, Michael; Harvey, Roger


    Using rehearsals and in-the-moment coaching is being explored in mathematics teacher education courses at two New Zealand universities. This paper describes the perceptions of students, gathered using questionnaires, from two classes at our institution using different approaches for incorporating rehearsals and coaching. Students believed…

  19. A Capstone Mathematics Course for Prospective Secondary Mathematics Teachers (United States)

    Artzt, Alice F.; Sultan, Alan; Curcio, Frances R.; Gurl, Theresa


    This article describes an innovative capstone mathematics course that links college mathematics with school mathematics and pedagogy. It describes how college juniors in a secondary mathematics teacher preparation program engage in leadership experiences that enable them to learn mathematics for teaching while developing student-centered…

  20. Exploring Mathematics Teachers' Pedagogical Content Knowledge in the Context of Knowledge of Students (United States)

    Aksu, Zeki; Kul, Ümit


    Functions are one of the basic topics taught in mathematics curriculum at Secondary school level requiring knowledge from the students' past, and uniting mathematical topics. Mathematics teachers have both their own learning experience of functions, as well as their own teaching experience, leading to the question of what level of student…

  1. Teacher's Ability to Develop Learning Materials Potentially Mathematical Discourse

    Directory of Open Access Journals (Sweden)

    Hamdani Hamdani


    Full Text Available In the process of learning in the field, the teacher still dominates the conversation while the students as a passive listener. As a result, not only the communication skills of students who are less developed, the understanding of student material is also lacking. Therefore it is necessary to research the ability of teachers in developing learning tools potentially mathematical discourse to improve students' mathematical communication skills. The research method used is descriptive. Research activities include: identification of problems through questionnaires, observation, and interviews; teacher training; teachers develop learning tools; validation; and enhancement of the device by the teacher. The subject of this research is the junior high school mathematics teacher from several districts in the border area of Sambas-Sarawak Regency. The results show that in every learning mathematics there is always a conversation between teachers and students, but rarely use the question "why" and "how". Most teacher-made lesson plans contain scenarios of conversations between teachers and students, but just plain questioning, have not led to a debate between each other so that understanding becomes deeper. Student worksheet made by the teacher in the form of a matter of the ordinary story, rarely load non-routine problem let alone open-ended.

  2. The Influence of Mathematics Professional Development, School-Level, and Teacher-Level Variables on Primary Students' Mathematics Achievement (United States)

    Polly, Drew; Wang, Chuang; Martin, Christie; Lambert, Richard; Pugalee, David; Middleton, Catherina


    This study examined the influence of a professional development project about an internet-based mathematics formative assessment tool and related pedagogies on primary teachers' instruction and student achievement. Teachers participated in 72 h of professional development during the year. Descriptive statistics and multivariate analyses of…

  3. Developing and Validating a Competence Framework for Secondary Mathematics Student Teachers through a Delphi Method (United States)

    Muñiz-Rodríguez, Laura; Alonso, Pedro; Rodríguez-Muñiz, Luis J.; Valcke, Martin


    Initial teacher education programmes provide student teachers with the desired competences to develop themselves as teachers. Although a generic framework for teaching competences is available covering all school subjects in Spain, the initial teacher education programmes curriculum does not specify which competences secondary mathematics student…

  4. Re-Envisaging the Teaching of Mathematics: One Student Teacher's Experience Learning to Teach Primary Mathematics in a Manner Congruent with the New Zealand Curriculum (United States)

    Bailey, Judy


    Teacher education can provide opportunities for contributing towards a re-envisaging of the teaching and learning of mathematics in the primary classroom. This study documents the experiences of one student teacher who, during her mathematics education courses, embraced a perception of mathematics as a social, creative and experiential discipline.…

  5. On the Nature of and Teachers' Goals for Students' Mathematical Argumentation in High School Classrooms (United States)

    Howell, Tracey H.


    In an era of new standards and emerging accountability systems, an understanding of the supports needed to aid teachers and students in making necessary transitions in mathematics teaching and learning is critical. Given the established research base demonstrating the importance of justification and reasoning in students' mathematics learning and…

  6. "Bigger Number Means You Plus!"--Teachers Learning to Use Clinical Interviews to Understand Students' Mathematical Thinking (United States)

    Heng, Mary Anne; Sudarshan, Akhila


    This paper examines the perceptions and understandings of ten grades 1 and 2 Singapore mathematics teachers as they learned to use clinical interviews (Ginsburg, "Human Development" 52:109-128, 2009) to understand students' mathematical thinking. This study challenged teachers' pedagogical assumptions about what it means to teach for…

  7. Mathematics Teacher Education: A Model from Crimea. (United States)

    Ferrucci, Beverly J.; Evans, Richard C.


    Reports on the mathematics teacher preparation program at Simferopol State University, the largest institution of higher education in the Crimea. The article notes the value of investigating what other countries consider essential in mathematics teacher education to improve the mathematical competence of students in the United States. (SM)

  8. Enhancing mathematics teachers' quality through Lesson Study. (United States)

    Lomibao, Laila S


    The efficiency and effectivity of the learning experience is dependent on the teacher quality, thus, enhancing teacher's quality is vital in improving the students learning outcome. Since, the usual top-down one-shot cascading model practice for teachers' professional development in Philippines has been observed to have much information dilution, and the Southeast Asian Ministers of Education Organization demanded the need to develop mathematics teachers' quality standards through the Southeast Asia Regional Standards for Mathematics Teachers (SEARS-MT), thus, an intensive, ongoing professional development model should be provided to teachers. This study was undertaken to determine the impact of Lesson Study on Bulua National High School mathematics teachers' quality level in terms of SEARS-MT dimensions. A mixed method of quantitative-qualitative research design was employed. Results of the analysis revealed that Lesson Study effectively enhanced mathematics teachers' quality and promoted teachers professional development. Teachers positively perceived Lesson Study to be beneficial for them to become a better mathematics teacher.

  9. Relations between third grade teachers' depressive symptoms and their feedback to students, with implications for student mathematics achievement. (United States)

    McLean, Leigh; Connor, Carol McDonald


    Recent studies have observed connections among teachers' depressive symptoms and student outcomes; however, the specific mechanisms through which teachers' mental health characteristics operate in the classroom remain largely unknown. The present study used student-level observation methods to examine the relations between third-grade teachers' (N = 32) depressive symptoms and their academic feedback to students (N = 310) and sought to make inferences about how these factors might influence students' mathematics achievement. A novel observational tool, the Teacher Feedback Coding System-Academic (TFCS-A), was used that assesses feedback across 2 dimensions-teacher affect and instructional strategy, which have been shown to be important to student learning. Multilevel exploratory factor analysis of TFCS-A data suggested 2 primary factors: positive feedback and neutral/negative feedback. Hierarchical linear modeling revealed that positive feedback was related to higher math achievement among students who began the year with weaker math skills and that teachers who reported more depressive symptoms less frequently provided this positive feedback. Results offer new information about a type of instruction that may be affected by teachers' depressive symptoms and inform efforts aimed at improving teachers' instructional interactions with students. (PsycINFO Database Record (c) 2018 APA, all rights reserved).

  10. Student and Teacher Perceptions of First Language Use in Secondary French Immersion Mathematics Classrooms (United States)

    Culligan, Karla


    This phenomenological study (Creswell, 2003, 2007; van Manen, 1997) explores student and teacher perceptions of first language use in French immersion mathematics classrooms at a large, urban high school in Canada. During individual interviews, participants discussed their perceptions and experiences of French immersion mathematics, language use,…

  11. Mathematics teachers' knowledge of the subject content and ...

    African Journals Online (AJOL)

    This paper discusses the need of the mathematics teacher to be equipped adequately in the content areas in mathematics, vis-a-vis the recent concerns about the poor performance of students in the pre-tertiary schools, and the competence of mathematics teachers in the field. The low performance in mathematics at the ...

  12. Student teachers’ mathematical questioning and courage in metaphorical thinking learning (United States)

    Hendriana, H.; Hidayat, W.; Ristiana, M. G.


    This study was designed in the form of experiments with control group design and post-test only which aimed to examine the role of metaphorical thinking learning in the mathematical questioning ability of student teachers based on the level of mathematical courage. The population of this study was student teachers of mathematics education study program in West Java Province, while the sample of this study was 152 student teachers which were set purposively and then randomly to be included in the experimental class and control class. Based on the results and discussion, it was concluded that: (a) the mathematical questioning ability of student teachers who received Metaphorical Thinking learning was better than those who received conventional learning seen from mathematical courage level; (b) learning and mathematical courage level factors affected the achievement of student teachers’ mathematical questioning ability. In addition, there was no interaction effect between learning and mathematical courage level (high, medium, and low) simultaneously in developing student teachers’ mathematical questioning ability; (c) achievement of mastering mathematical questioning ability of student teacher was still not well achieved on indicator of problem posing in the form of non-routine question and open question.

  13. Exploring student teachers' perceptions of the influence of technology in learning and teaching mathematics

    Directory of Open Access Journals (Sweden)

    Sarah Bansilal


    Full Text Available Rapid global technological developments have affected all facets of life, including the teaching and learning of mathematics. This qualitative study was designed to identify the ways in which technology was used and to explore the nature of this use by a group of 52 mathematics student teachers. The participants were pre-service Mathematics students who were enrolled for a Mathematics module at a South African university. The research instruments were an open question and a semi-structured interview schedule. Saxe's framework was used to analyse the data. Some benefits of mathematics software were found to be the provision of different representations, dynamic visualisation of concepts and variation in mathematical situations. It was also found that students used technology more often in their own learning than in their teaching, because the schools did not have many resources. It is recommended that the education department prioritise the provision of specialist mathematics software that can be used to improve learning outcomes in mathematics.

  14. Focusing of Students' Mathematical Thinking (United States)

    Breyfogle, M. Lynn; Herbel-Eisenmann, Beth A.


    Suggestions and ideas that enable teachers to take a closer look at students' thinking are discussed. A teacher should periodically reflect on his or her own classroom practices in order to increase attention on students' mathematical thinking.

  15. Strategies to Support Students' Mathematical Modeling (United States)

    Jung, Hyunyi


    An important question for mathematics teachers is this: "How can we help students learn mathematics to solve everyday problems, rather than teaching them only to memorize rules and practice mathematical procedures?" Teaching students using modeling activities can help them learn mathematics in real-world problem-solving situations that…

  16. Student Background and Teacher Effects on Achievement and Attainment in Mathematics: A Longitudinal Study (United States)

    Muijs, Daniel; Reynolds, David


    In this article, we have studied the effect of student social background, classroom social context, classroom organisation, and teacher behaviours on mathematics achievement and attainment in English and Welsh primary schools. Data were collected over 2 years as part of a programme evaluation, for which we observed 138 teachers and tested and…

  17. The Integration of Mathematics in Middle School Science: Student and Teacher Impacts Related to Science Achievement and Attitudes Towards Integration (United States)

    McHugh, Luisa

    Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to improved student perception of the integration of science and mathematics. Although there is adequate literature to substantiate students' positive responses to integration in terms of attitudes, there has been little empirical data to support significant academic improvement when both disciplines are taught in an integrated method. This research study, conducted at several school districts on Long Island and New York City, New York, examined teachers' attitudes toward integration and students' attitudes about, and achievement on assessments in, an integrated 8th grade science classroom compared to students in a non-integrated classroom. An examination of these parameters was conducted to analyze the impact of the sizeable investment of time and resources needed to teach an integrated curriculum effectively. These resources included substantial teacher training, planning time, collaboration with colleagues, and administration of student assessments. The findings suggest that students had positive outcomes associated with experiencing an integrated science and mathematics curriculum, though these were only weakly correlated with teacher confidence in implementing the integrated model successfully. The positive outcomes included the ability of students to understand scientific concepts within a concrete mathematical framework, improved confidence in applying mathematics to scientific ideas, and increased agreement with the usefulness of mathematics in interpreting science concepts. Implications of these research findings may be of benefit to educators and policymakers looking to adapt integrated curricula in order to

  18. Middle School Mathematics Teachers Panel Perspectives of Instructional Practicess (United States)

    Ziegler, Cindy


    In a local middle school, students were not meeting standards on the state mathematics tests. The purpose of this qualitative study was to explore mathematics teachers' perspectives on effective mathematics instruction vis-a-vis the principles of the National Council of Teachers of Mathematics (NCTM). Within this framework, the 6 principles in the…

  19. Giving Reason to Prospective Mathematics Teachers (United States)

    D'Ambrosio, Beatriz; Kastberg, Signe


    This article describes the development of the authors' understanding of the contradictions in their mathematics teacher education practice. This understanding emerged from contrasting analyses of the impact of the authors' practices in mathematics content courses versus mathematics methods courses. Examples of the authors' work with two students,…

  20. Integrating Universal Design and Response to Intervention in Methods Courses for General Education Mathematics Teachers (United States)

    Buchheister, Kelley; Jackson, Christa; Taylor, Cynthia E.


    Traditionally, teacher education programs have placed little emphasis on preparing mathematics teachers to work with students who struggle in mathematics. Therefore, it is crucial that mathematics teacher educators explicitly prepare prospective teachers to instruct students who struggle with mathematics by providing strategies and practices that…

  1. CASCADE-IMEI: Web site support for student teachers learning Realistic Mathematics Education (RME) in Indonesia

    NARCIS (Netherlands)

    Zulkardi, Z.; Nieveen, N.M.


    CASCADE-IMEI is a learning environment in the form of a face-to-face course and a web site ( which aims to support student teachers in Indonesia to learn Realistic Mathematics Education (RME). RME is an instructional theory in mathematics education that was originally developed

  2. Spatial Skill Profile of Mathematics Pre-Service Teachers (United States)

    Putri, R. O. E.


    This study is aimed to investigate the spatial intelligence of mathematics pre-service teachers and find the best instructional strategy that facilitates this aspect. Data were collected from 35 mathematics pre-service teachers. The Purdue Spatial Visualization Test (PSVT) was used to identify the spatial skill of mathematics pre-service teachers. Statistical analysis indicate that more than 50% of the participants possessed spatial skill in intermediate level, whereas the other were in high and low level of spatial skill. The result also shows that there is a positive correlation between spatial skill and mathematics ability, especially in geometrical problem solving. High spatial skill students tend to have better mathematical performance compare to those in two other levels. Furthermore, qualitative analysis reveals that most students have difficulty in manipulating geometrical objects mentally. This problem mostly appears in intermediate and low-level spatial skill students. The observation revealed that 3-D geometrical figures is the best method that can overcome the mentally manipulation problem and develop the spatial visualization. Computer application can also be used to improve students’ spatial skill.

  3. Personality Similarity between Teachers and Their Students Influences Teacher Judgement of Student Achievement (United States)

    Rausch, Tobias; Karing, Constance; Dörfler, Tobias; Artelt, Cordula


    This study examined personality similarity between teachers and their students and its impact on teacher judgement of student achievement in the domains of reading comprehension and mathematics. Personality similarity was quantified through intraclass correlations between personality characteristics of 409 dyads of German teachers and their…

  4. Teacher Support, Instructional Practices, Student Motivation, and Mathematics Achievement in High School (United States)

    Yu, Rongrong; Singh, Kusum


    The authors examined the relationships among teacher classroom practices, student motivation, and mathematics achievement in high school. The data for this study was drawn from the base-year data of High School Longitudinal Study of 2009. Structural equation modeling method was used to estimate the relationships among variables. The results…

  5. Interdisciplinary Student/Teacher Materials in Energy, the Environment, and the Economy: Mathematics in Energy, Grades 8-9. (United States)

    Brown, Evelyn; And Others

    This publication is part of a series of instructional units produced by NSTA's Project for an Energy-Enriched Curriculum. The teacher's manual and the student guide for a mathematics unit in this series are presented here. This unit attempts to teach students some necessary mathematical skills needed to understand quantitative facts about energy.…

  6. Discrete mathematics in deaf education: a survey of teachers' knowledge and use. (United States)

    Pagliaro, Claudia M; Kritzer, Karen L

    The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United States. Findings indicate that deaf education teachers are familiar with many discrete mathematics topics but do not include them in instruction because they consider the concepts too complicated for their students. Also, regardless of familiarity level, deaf education teachers are not familiar with discrete mathematics terminology; nor is their mathematics teaching structured to provide opportunities to apply the real-world-oriented activities used in discrete mathematics instruction. Findings emphasize the need for higher expectations of students with hearing loss, and for reform in mathematics curriculum and instruction within deaf education.

  7. Effects of a Teacher Professional Development Program on the Mathematics Achievement of Middle School Students (United States)

    Sample McMeeking, Laura B.; Orsi, Rebecca; Cobb, R. Brian


    The effect of a 15- to 24-month in-service professional development (PD) program on state accountability mathematics test scores for middle school students was examined using a quasi-experimental design. Middle level mathematics teachers (n = 128) from 7 school districts and 64 middle schools volunteered for a PD sequence of content-oriented…

  8. Teachers mathematical communication profile in explaining subject matter (United States)

    Umami, Rohmatul; Budayasa, I. Ketut; Suwarsono, St.


    This study aimed to see a teachers mathematical communication profile in explaining a subject matter. It is a qualitative research. A high-school junior teacher (i.e., a teacher with 1- to 5-year experience) teaching mathematics at X-Social Class was selected as the subject of this study. The data was collected by observing the teachers mathematical communication in explaining a given material (i.e., the rule of sine) in class and an in-depth interview would be organized respectively. The result showed that the junior teacher explained the subject matter in systematic, complete, fluent, and centered manner. In this case, she began with reminding students on the previous material related to the current material to be learned, informing the current learning objectives, and finally delivering the subject matter. To support her explanation, the teacher also provided some related information, led the students attention into the given material by asking them particular related questions, and did not use any confusing terms. However, the study found that some of high-school teachers still used less appropriate language in explaining materials.

  9. Mathematical literacy skills of students' in term of gender differences (United States)

    Lailiyah, Siti


    Good mathematical literacy skills will hopefully help maximize the tasks and role of the prospective teacher in activities. Mathematical literacy focus on students' ability to analyze, justify, and communicate ideas effectively, formulate, solve and interpret mathematical problems in a variety of forms and situations. The purpose of this study is to describe the mathematical literacy skills of the prospective teacher in term of gender differences. This research used a qualitative approach with a case study. Subjects of this study were taken from two male students and two female students of the mathematics education prospective teacher who have followed Community Service Program (CSP) in literacy. Data were collected through methods think a loud and interviews. Four prospective teachers were asked to fill mathematical literacy test and video taken during solving this test. Students are required to convey loud what he was thinking when solving problems. After students get the solution, researchers grouped the students' answers and results think aloud. Furthermore, the data are grouped and analyzed according to indicators of mathematical literacy skills. Male students have good of each indicator in mathematical literacy skills (the first indicator to the sixth indicator). Female students have good of mathematical literacy skills (the first indicator, the second indicator, the third indicator, the fourth indicator and the sixth indicator), except for the fifth indicators that are enough.

  10. Engaging Elementary Students in the Creative Process of Mathematizing Their World through Mathematical Modeling

    Directory of Open Access Journals (Sweden)

    Jennifer M. Suh


    Full Text Available This paper examines the experiences of two elementary teachers’ implementation of mathematical modeling in their classrooms and how the enactment by the teachers and the engagement by students exhibited their creativity, critical thinking, collaboration and communication skills. In particular, we explore the questions: (1 How can phases of mathematical modeling as a process serve as a venue for exhibiting students’ critical 21st century skills? (2 What were some effective pedagogical practices teachers used as they implemented mathematical modeling with elementary students and how did these promote students’ 21st century skills? We propose that mathematical modeling provides space for teachers and students to have a collective experience through the iterative process of making sense of and building knowledge of important mathematical ideas while engaging in the critical 21st century skills necessary in our complex modern world.

  11. Model program for the recruitment and preparation of high ability elementary mathematics/science teachers: A collaborative project among scientists, teacher educators and classroom teachers

    Energy Technology Data Exchange (ETDEWEB)


    This teacher education program will provide a model for recruiting, educating and retaining high ability students to become mathematics and science lead teachers in elementary schools. The quality experiences and support provided these students will help them develop the knowledge and attitudes necessary to provide leadership for elementary mathematics and science programs. Students will have research experiences at the Ames Laboratory, high quality field experiences with nationally recognized mathematics and science teachers in local schools and opportunities to meaningfully connect these two experiences. This program, collaboratively designed and implemented by scientists, teacher educators and classroom teachers, should provide a replicatable model for other teacher education institutions. In addition, materials developed for the project should help other laboratories interface more effectively with K-8 schools and help other teacher education programs incorporate real science and mathematics experience into their curriculum.

  12. Online Mathematics Homework Increases Student Achievement

    Directory of Open Access Journals (Sweden)

    Jeremy Roschelle


    Full Text Available In a randomized field trial with 2,850 seventh-grade mathematics students, we evaluated whether an educational technology intervention increased mathematics learning. Assigning homework is common yet sometimes controversial. Building on prior research on formative assessment and adaptive teaching, we predicted that combining an online homework tool with teacher training could increase learning. The online tool ASSISTments (a provides timely feedback and hints to students as they do homework and (b gives teachers timely, organized information about students’ work. To test this prediction, we analyzed data from 43 schools that participated in a random assignment experiment in Maine, a state that provides every seventh-grade student with a laptop to take home. Results showed that the intervention significantly increased student scores on an end-of-the-year standardized mathematics assessment as compared with a control group that continued with existing homework practices. Students with low prior mathematics achievement benefited most. The intervention has potential for wider adoption.

  13. Factors Considered by Elementary Teachers When Developing and Modifying Mathematical Tasks to Support Children's Mathematical Thinking (United States)

    Fredenberg, Michael Duane

    The idea that problems and tasks play a pivotal role in a mathematics lesson has a long standing in mathematics education research. Recent calls for teaching reform appeal for training teachers to better understand how students learn mathematics and to employ students' mathematical thinking as the basis for pedagogy (CCSSM, 2010; NCTM, 2000; NRC 1999). The teaching practices of (a) developing a task for a mathematics lesson and, (b) modifying the task for students while enacting the lesson fit within the scope of supporting students' mathematical thinking. Surprisingly, an extensive search of the literature did not yield any research aimed to identify and refine the constituent parts of the aforementioned teaching practices in the manner called for by Grossman and xiii colleagues (2009). Consequently, my research addresses the two questions: (a) what factors do exemplary elementary teachers consider when developing a task for a mathematics lesson? (b) what factors do they consider when they modify a task for a student when enacting a lesson? I conducted a multiple case study involving three elementary teachers, each with extensive training in the area of Cognitively Guided Instruction (CGI), as well as several years experience teaching mathematics following the principles of CGI (Carpenter et al., 1999). I recorded video of three mathematics lessons with each participant and after each lesson I conducted a semi-structured stimulated recall interview. A subsequent follow-up clinical interview was conducted soon thereafter to further explore the teacher's thoughts (Ginsberg, 1997). In addition, my methodology included interjecting myself at select times during a lesson to ask the teacher to explain her reasoning. Qualitative analysis led to a framework that identified four categories of influencing factors and seven categories of supporting objectives for the development of a task. Subsets of these factors and objectives emerged as particularly relevant when the

  14. TIMSS 2011 Student and Teacher Predictors for Mathematics Achievement Explored and Identified via Elastic Net

    Directory of Open Access Journals (Sweden)

    Jin Eun Yoo


    Full Text Available A substantial body of research has been conducted on variables relating to students' mathematics achievement with TIMSS. However, most studies have employed conventional statistical methods, and have focused on selected few indicators instead of utilizing hundreds of variables TIMSS provides. This study aimed to find a prediction model for students' mathematics achievement using as many TIMSS student and teacher variables as possible. Elastic net, the selected machine learning technique in this study, takes advantage of both LASSO and ridge in terms of variable selection and multicollinearity, respectively. A logistic regression model was also employed to predict TIMSS 2011 Korean 4th graders' mathematics achievement. Ten-fold cross-validation with mean squared error was employed to determine the elastic net regularization parameter. Among 162 TIMSS variables explored, 12 student and 5 teacher variables were selected in the elastic net model, and the prediction accuracy, sensitivity, and specificity were 76.06, 70.23, and 80.34%, respectively. This study showed that the elastic net method can be successfully applied to educational large-scale data by selecting a subset of variables with reasonable prediction accuracy and finding new variables to predict students' mathematics achievement. Newly found variables via machine learning can shed light on the existing theories from a totally different perspective, which in turn propagates creation of a new theory or complement of existing ones. This study also examined the current scale development convention from a machine learning perspective.

  15. TIMSS 2011 Student and Teacher Predictors for Mathematics Achievement Explored and Identified via Elastic Net. (United States)

    Yoo, Jin Eun


    A substantial body of research has been conducted on variables relating to students' mathematics achievement with TIMSS. However, most studies have employed conventional statistical methods, and have focused on selected few indicators instead of utilizing hundreds of variables TIMSS provides. This study aimed to find a prediction model for students' mathematics achievement using as many TIMSS student and teacher variables as possible. Elastic net, the selected machine learning technique in this study, takes advantage of both LASSO and ridge in terms of variable selection and multicollinearity, respectively. A logistic regression model was also employed to predict TIMSS 2011 Korean 4th graders' mathematics achievement. Ten-fold cross-validation with mean squared error was employed to determine the elastic net regularization parameter. Among 162 TIMSS variables explored, 12 student and 5 teacher variables were selected in the elastic net model, and the prediction accuracy, sensitivity, and specificity were 76.06, 70.23, and 80.34%, respectively. This study showed that the elastic net method can be successfully applied to educational large-scale data by selecting a subset of variables with reasonable prediction accuracy and finding new variables to predict students' mathematics achievement. Newly found variables via machine learning can shed light on the existing theories from a totally different perspective, which in turn propagates creation of a new theory or complement of existing ones. This study also examined the current scale development convention from a machine learning perspective.

  16. Flipping Preservice Elementary Teachers' Mathematics Anxieties (United States)

    Dove, Anthony; Dove, Emily


    In preparing future elementary educators in mathematics, helping them overcome their anxieties of mathematics and teaching mathematics is paramount. This study examined how different instructional practices (in-class lecture, flipped learning with teacher-created videos, flipped classroom with Khan Academy videos) compared in improving students'…

  17. A Teacher Competency Enhancement Model based on the Coaching Processes to Increase Mathematical Reasoning Abilities of Lower-Secondary Students

    Directory of Open Access Journals (Sweden)

    Uaychai Sukanalam


    Full Text Available This research study aimed to: 1 investigate problems and needs for the learning management that helps increase capacities of mathematics teachers at the lower-secondary level, 2 develop a teacher competency enhancement model based on the coaching processes to enhance mathematical reasoning abilities of lower-secondary students, 3 find out the educational supervisors’ opinions on the model designed. The samples of the study comprised 212 mathematics teachers at the lower-secondary level from 60 schools under jurisdiction of the Office of Secondary Educational Service Area 27, who were selected through the simple random sampling technique ; and 201 educational supervisors in charge of the mathematics learning strand from 42 educational service areas, who were selected through the purposive sampling technique. This study was conducted in the academic year 2015. The research instruments included: 1 a teacher competency enhancement manual that illustrated the steps and procedures for increasing the teacher’s capacities based on the coaching processes in order to enhance mathematical reasoning abilities of lower-secondary students, 2 a survey on problems and needs for the learning management to enhance capacities of mathematics teachers at the lower-secondary level, 3 A questionnaire concerning the educational supervisor’s opinion on the model designed. The statistics used included percentage, mean, and standard deviation. The study results showed that: 1. According to the study and analysis of basic data, problems and needs, it was found that the needs for increasing capacities of mathematics teachers at the lower-secondary level was overall at the high level. In terms of identifying behaviors as “mathematical competencies”, there were some problems associated with thinking and reasoning abilities of the teachers, and their needs in developing the learning management were at the highest level. To solve such problems, it is suggested that

  18. Expanding Mathematics Preparation of Elementary and Middle School Teachers (United States)

    Buck, Robert E.


    One of the major problems facing education today is the inadequate mathematics' preparation of pre-college students and their teachers. Most colleges and universities have well established programs for students planning to teach mathematics at the secondary schools; however, in many institutions pre-secondary mathematics has been addressed only…

  19. Challenging Transitions and Crossing Borders: Preparing Novice Mathematics Teacher Educators to Support Novice K-12 Mathematics Teachers (United States)

    Yow, Jan A.; Eli, Jennifer A.; Beisiegel, Mary; McCloskey, Andrea; Welder, Rachael M.


    Sixty-nine recently graduated doctoral students in mathematics education completed a survey to determine their perceptions of transitioning from a doctoral program into an academic position at an institution of higher education. Research literature for novice mathematics school teachers was also reviewed to document their experiences transitioning…

  20. Changing Pre-Service Mathematics Teachers' Beliefs about Using Computers for Teaching and Learning Mathematics: The Effect of Three Different Models (United States)

    Karatas, Ilhan


    This study examines the effect of three different computer integration models on pre-service mathematics teachers' beliefs about using computers in mathematics education. Participants included 104 pre-service mathematics teachers (36 second-year students in the Computer Oriented Model group, 35 fourth-year students in the Integrated Model (IM)…

  1. Unpacking Personal Identities for Teaching Mathematics within the Context of Prospective Teacher Education (United States)

    Hodges, Thomas E.; Hodge, Lynn Liao


    This article explores the personal identities of two prospective elementary teachers as they progressed from mathematics methods coursework into their capstone student teaching semester. Results indicate that both prospective teachers perceived contrasting obligations of effective mathematics teaching in the teacher education and student teaching…

  2. "Boys Press All the Buttons and Hope It Will Help": Upper Secondary School Teachers' Gendered Conceptions about Students' Mathematical Reasoning (United States)

    Sumpter, Lovisa


    Previous results show that Swedish upper secondary school teachers attribute gender to cases describing different types of mathematical reasoning. The purpose of this study was to investigate how these teachers gender stereotype aspects of students' mathematical reasoning by studying the symbols that were attributed to boys and girls,…

  3. The Effects of Teacher Collaboration in Grade 9 Applied Mathematics (United States)

    Egodawatte, Gunawardena; McDougall, Douglas; Stoilescu, Dorian


    The current emphasis of many mathematics education reform documents is on the need to change the environment of mathematics classrooms from the transmission of knowledge by the teacher to the transaction of knowledge between the teacher and the students which promotes mathematical investigation and exploration. In this article, we discuss the…

  4. Modeling eBook acceptance: A study on mathematics teachers (United States)

    Jalal, Azlin Abd; Ayub, Ahmad Fauzi Mohd; Tarmizi, Rohani Ahmad


    The integration and effectiveness of eBook utilization in Mathematics teaching and learning greatly relied upon the teachers, hence the need to understand their perceptions and beliefs. The eBook, an individual laptop completed with digitized textbook sofwares, were provided for each students in line with the concept of 1 student:1 laptop. This study focuses on predicting a model on the acceptance of the eBook among Mathematics teachers. Data was collected from 304 mathematics teachers in selected schools using a survey questionnaire. The selection were based on the proportionate stratified sampling. Structural Equation Modeling (SEM) were employed where the model was tested and evaluated and was found to have a good fit. The variance explained for the teachers' attitude towards eBook is approximately 69.1% where perceived usefulness appeared to be a stronger determinant compared to perceived ease of use. This study concluded that the attitude of mathematics teachers towards eBook depends largely on the perception of how useful the eBook is on improving their teaching performance, implying that teachers should be kept updated with the latest mathematical application and sofwares to use with the eBook to ensure positive attitude towards using it in class.

  5. Rwandan grade 6 mathematics teachers' knowledge

    African Journals Online (AJOL)


    1University Rwanda, College of Education, 2 School of Education, University of .... one hand, and Knowledge of Content and Students (KCS) and Knowledge of Content and ..... The nature and development of middle school mathematics ... of freshman science student teachers from different science teaching domains.

  6. Student Perceptions of a Mathematics Major for Prospective Elementary Teachers with an Inquiry-Based Philosophy (United States)

    Cook, Samuel A.; Borkovitz, Debra K.


    In this paper we present data from one-on-one interviews conducted with students who have taken intermediate and advanced inquiry-based mathematics courses in a program that prepares future preK-8 teachers. Many of these students entered college with a fear of math, but then gained confidence from a required introductory math course and chose to…

  7. Implication of formative assessment practices among mathematics teacher (United States)

    Samah, Mas Norbany binti Abu; Tajudin, Nor'ain binti Mohd


    Formative assessment of school-based assessment (SBA) is implemented in schools as a move to improve the National Education Assessment System (NEAS). Formative assessment focuses on assessment for learning. There are various types of formative assessment instruments used by teachers of mathematics, namely the form of observation, questioning protocols, worksheets and quizzes. This study aims to help teachers improve skills in formative assessments during the teaching and learning (t&l) Mathematics. One mathematics teacher had been chosen as the study participants. The collecting data using document analysis, observation and interviews. Data were analyzed narrative and assessments can help teachers implement PBS. Formative assessment is conducted to improve the skills of students in t&l effectively.

  8. Mathematics teachers' beliefs about scientific approach (SA) and implementation in mathematics learning (United States)

    Mutholib, Ahmad Abdul; Sujadi, Imam; Subanti, Sri


    SA is the approach used for the exploration of research and answer questions. Teachers' beliefs have a greater influence than the teacher's knowledge of designing lesson plans in the classroom. The objectives of this study are to explore the teachers' beliefs in SA, to reveal how the beliefs are reflected in classroom practices; and to figure out the factors affecting their beliefs and practices of SA to the teaching of mathematics. This qualitative research applied case study. The data was gained from classroom observation, face-to-face interview, and documentation. Interactive models from Miles and Huberman were used to examine the data. Results of the study: 1) The teachers believe about the conception of SA. They also believe that the SA is important and gives impact to students' progress. They believe that by applying SA, the target of mathematics learning is acquired. As to learning procedure, they believe that SA steps are conducted in sequence by combining some steps for each. 2) Teachers formulate their beliefs of applying the five scientific step of integrating all steps by keeping the sequence. Teachers argue that target of mathematics learning can be attained by some ways, namely presence of theoretical and practical support, teachers' guidance, providing variety of media and motivation to students. 3) There are five factors which influence teachers' beliefs and practices of SA, namely learning and teaching experience, teachers' motivation, sharing with colleagues and facility. This study concludes that teachers believe in the importance of SA, therefore they implement it in the classroom.

  9. Preservice Teachers' Video Simulations and Subsequent Noticing: A Practice-Based Method to Prepare Mathematics Teachers (United States)

    Amador, Julie M.


    The purpose of this study was to implement a Video Simulation Task in a mathematics methods teacher education course to engage preservice teachers in considering both the teaching and learning aspects of mathematics lesson delivery. Participants anticipated student and teacher thinking and created simulations, in which they acted out scenes on a…

  10. Online supplementary mathematics tuition in a first-year childhood teacher education programme

    Directory of Open Access Journals (Sweden)

    Kathleen Fonseca


    Full Text Available This study reports on an intervention that was aimed at improving the content knowledge of first-year intermediate-phase education students at a South African university. The study gives some insight into preservice teachers’ perceptions of an online programme for the development of mathematics common content knowledge for teachers of mathematics in the intermediate grades. The effectiveness of the intervention programme was analysed according to Shapiro’s evaluation criteria for intervention research. The findings show that there has been a positive shift in preservice teachers’ common content knowledge but that there is much room for further development. The student teachers found the programme to be of great benefit with regard to the development of their mathematics knowledge as well as their confidence as future teachers of mathematics. The findings highlighted their disturbingly limited knowledge of mathematics content knowledge and pointed to the responsibility of teacher education departments at universities to implement sufficient maths content courses that will address the status quo of poor mathematics teaching in South African primary schools. The authors conclude that the students need to spend much more time on ‘catching up’ before they become teachers.

  11. The Nature of Feedback Given to Elementary Student Teachers from University Supervisors after Observations of Mathematics Lessons (United States)

    Schwartz, Catherine; Walkowiak, Temple A.; Poling, Lisa; Richardson, Kerri; Polly, Drew


    This research explores the frequency and nature of mathematics-specific feedback given to elementary student teachers by university supervisors across a collection of post-lesson observation forms. Approximately one-third of the forms (n = 250) analysed from five large universities had no comments related to mathematics. Forms that did have…

  12. Teachers' Mathematics as Mathematics-at-Work (United States)

    Bednarz, Nadine; Proulx, Jérôme


    Through recognising mathematics teachers as professionals who use mathematics in their workplace, this article traces a parallel between the mathematics enacted by teachers in their practice and the mathematics used in workplaces found in studies of professionals (e.g. nurses, engineers, bankers). This parallel is developed through the five…

  13. Evidence of the Need to Prepare Prospective Teachers to Engage in Mathematics Consultations (United States)

    van Ingen, Sarah; Eskelson, Samuel L.; Allsopp, David


    The mathematics consultation represents a powerful opportunity for mathematics teachers to leverage the knowledge base of special education professionals to advance equity for students with special education needs. Yet, most teacher preparation programs do not specifically prepare prospective teachers to engage in mathematics-specific…

  14. Visuospatial training improves elementary students' mathematics performance. (United States)

    Lowrie, Tom; Logan, Tracy; Ramful, Ajay


    Although spatial ability and mathematics performance are highly correlated, there is scant research on the extent to which spatial ability training can improve mathematics performance. This study evaluated the efficacy of a visuospatial intervention programme within classrooms to determine the effect on students' (1) spatial reasoning and (2) mathematics performance as a result of the intervention. The study involved grade six students (ages 10-12) in eight classes. There were five intervention classes (n = 120) and three non-intervention control classes (n = 66). A specifically designed 10-week spatial reasoning programme was developed collaboratively with the participating teachers, with the intervention replacing the standard mathematics curriculum. The five classroom teachers in the intervention programme presented 20 hr of activities aimed at enhancing students' spatial visualization, mental rotation, and spatial orientation skills. The spatial reasoning programme led to improvements in both spatial ability and mathematics performance relative to the control group who received standard mathematics instruction. Our study is the first to show that a classroom-based spatial reasoning intervention improves elementary school students' mathematics performance. © 2017 The British Psychological Society.

  15. An Investigation of Elementary Preservice Teachers' Self-Efficacy for Teaching Mathematics (United States)

    Giles, Rebecca McMahon; Byrd, Kelly O.; Bendolph, Angelia


    Research has consistently shown that teacher efficacy is related to a variety of desirable student outcomes, thus, making teacher efficacy an important factor in high quality mathematics instruction. The purpose of this study was to determine elementary preservice teachers' self-efficacy beliefs related to teaching mathematics. Forty-one…

  16. A Comparative Analysis of the Relationship among Quality Instruction, Teacher Self-Efficacy, Student Background, and Mathematics Achievement in South Korea and the United States (United States)

    Son, Ji-Won; Han, Seong Won; Kang, Chungseo; Kwon, Oh Nam


    The purpose of this study is to compare and contrast student, teacher, and school factors that are associated with student mathematics achievement in South Korea and the United States. Using the data from the Trends in International Mathematics and Science Study (TIMSS) 2011, this study examines factors that are linked to teachers who deliver…

  17. Teachers' Interpretations of Student Statements about Slope (United States)

    Nagle, Courtney; Moore-Russo, Deborah; Styers, Jodie L.


    This paper describes seven in-service teachers' interpretations of student statements about slope. The teachers interpreted sample student work, conjectured about student contributions, assessed the students' understanding, and positioned the students' statements in the mathematics curriculum. The teachers' responses provide insight into their…

  18. Math Autobiographies: A Window into Teachers' Identities as Mathematics Learners (United States)

    McCulloch, Allison W.; Marshall, Patricia L.; DeCuir-Gunby, Jessica T.; Caldwell, Ticola S.


    Mathematics autobiographies have the potential to help teachers reflect on their identities as mathematics learners and to understand their role in the development of their students' mathematics identities. This paper reports on a professional development project for K-2 teachers (n = 41), in which participants were asked to write mathematics…

  19. History of Mathematics: Three Activities to Use with Undergraduate Students and In-Service Teachers (United States)

    Loats, Jim; White, Diana; Rubino, Carmen


    We provide in-depth information and analysis on three activities for use in History of Mathematics courses taught either in a traditional semester format for undergraduates or in a summer professional development course for middle school teachers. These activities require students to be active participants in their own learning. They also…

  20. Teacher-Student Development in Mathematics Classrooms: Interrelated Zones of Free Movement and Promoted Actions (United States)

    Hussain, Mohammed Abdul; Monaghan, John; Threlfall, John


    This paper applies and extends Valsiner's "zone theory" (zones of free movement and promoted actions) through an examination of an intervention to establish inquiry communities in primary mathematics classrooms. Valsiner's zone theory, in a classroom setting, views students' freedom of choice of action and thought as mediated by the teacher. The…

  1. Secondary Mathematics Teacher Differences: Teacher Quality and Preparation in a New York City Alternative Certification Program (United States)

    Evans, Brian R.


    Providing students in urban settings with quality teachers is important for student achievement. This study examined the differences in content knowledge, attitudes toward mathematics, and teacher efficacy among several different types of alternatively certified teachers in a sample from the New York City Teaching Fellows program in order to…

  2. Solving for Irrational Zeros: Whiteness in Mathematics Teacher Education (United States)

    Warburton, Trevor Thayne


    For many, mathematics and social justice are perceived as incompatible. Several mathematics education researchers have noted resistance to social justice among mathematics teachers. However, mathematics education has a consistently negative impact on the education of students of color. This study seeks to better understand the nature of this…

  3. Our Prospective Mathematic Teachers Are Not Critical Thinkers Yet (United States)

    As'ari, Abdur Rahman; Mahmudi, Ali; Nuerlaelah, Elah


    In order to help students develop their critical thinking skills, teachers need to model the critical thinking skills and dispositions in front of their students. Unfortunately, very rare studies investigating prospective teachers' readiness in critical thinking dispositions are available in the field of mathematics education. This study was…

  4. The Influence of a Reform-Based Mathematics Methods Course on Preservice Teachers' Beliefs (United States)

    Evans, Brian R.; Leonard, Jacqueline; Krier, Kathleen; Ryan, Steve


    Beliefs about teaching mathematics and urban students' ability to learn mathematics are often overlooked in the discourse on highly qualified teachers. Altering teacher experiences has the potential to change their beliefs. It was found in this qualitative case study that preservice teachers' beliefs about teaching mathematics to urban students…

  5. Pre-Service Mathematics Teachers' Noticing Skills and Scaffolding Practices (United States)

    Kilic, Hulya


    A 14-week course program was designed to investigate pre-service teachers' noticing skills and scaffolding practices. Six pre-service teachers were matched with a pair of sixth grade students to observe and scaffold students' mathematical understanding while they were working on the given tasks. Data was collected through pre-service teachers' own…

  6. "My math and me": Nursing students' previous experiences in learning mathematics. (United States)

    Røykenes, Kari


    In this paper, 11 narratives about former experiences in learning of mathematics written by nursing students are thematically analyzed. Most students had a positive relationship with the subject in primary school, when they found mathematics fun and were able to master the subject. For some, a change occurred in the transition to lower secondary school. The reasons for this change was found in the subject (increased difficulty), the teachers (movement of teachers, numerous substitute teachers), the class environment and size (many pupils, noise), and the student him- or herself (silent and anonymous pupil). This change was also found in the transition from lower to higher secondary school. By contrast, some students had experienced changes that were positive, and their mathematics teacher was a significant factor in this positive change. The paper emphasizes the importance of previous experiences in learning mathematics to nursing students when learning about drug calculation. Copyright © 2015. Published by Elsevier Ltd.

  7. In-service and Pre-service Middle School Mathematics Teachers' Attitudes and Decisions Regarding Teaching Mathematics Using Mobile Phones

    Directory of Open Access Journals (Sweden)

    Wajeeh M. Daher


    Full Text Available Several researches examined students' mathematics learning using mobile phones, while very few researches examined mathematics teaching using this new educational tool. This research attempts to analyze in-service and pre-service teachers' attitudes and decisions regarding mathematics teaching with mobile phones using activity theory. More specifically, three case studies are analyzed in this research: One concerns an in-service teacher who used mobile phones in her class, the second case study involves a pre-service teacher who collaborated with the in-service teacher to teach mathematics lessons using mobile phones, and the third case study is about 15 pre-service teachers who were observers of the experiment but did not use mobile phones in their teaching. We held one-hour semi-structured interviews with the in-service teacher, with the leading pre-service teacher and with the group of other observer pre-service teachers. This happened three times during the academic year: at the beginning of the experiment, after three months and after it ended. The research findings indicate that different factors have an impact on the attitudes and decisions of the teacher: history of the teacher using technologies in teaching, perceptions of the teacher using technologies in teaching, community’s teacher, rules regulating the use of technologies in teaching mathematics, and division of labor. For example, questions as to who decides which technologies to use in the classroom and who should prepare the learning material for the students. Contradictions were identified in mathematics teachers' activity when utilizing mobile phones in their teaching. These contradictions hinder or slow such utilization. Community, especially its leading members, mediated and helped overcome the activity contradictions that arose throughout the experiment regarding the teaching processes in and/or out of the mathematics classroom.

  8. Which Instructional Practices Most Help First Grade Students with and without Mathematics Difficulties? (United States)

    Morgan, Paul L.; Farkas, George; Maczuga, Steve


    We used population-based, longitudinal data to investigate the relation between mathematics instructional practices used by 1st grade teachers in the U.S. and the mathematics achievement of their students. Factor analysis identified four types of instructional activities (i.e., teacher-directed, student-centered, manipulatives/calculators, movement/music) and eight types of specific skills taught (e.g., adding two-digit numbers). First-grade students were then classified into five groups on the basis of their fall and/or spring of kindergarten mathematics achievement—three groups with mathematics difficulties (MD) and two without MD. Regression analysis indicated that a higher percentage of MD students in 1st grade classrooms was associated with greater use by teachers of manipulatives/calculators and movement/music to teach mathematics. Yet follow-up analysis for each of the MD and non-MD groups indicated that only teacher-directed instruction was significantly associated with the achievement of students with MD (covariate-adjusted ESs = .05–.07). The largest predicted effect for a specific instructional practice was for routine practice and drill. In contrast, for both groups of non-MD students, teacher-directed and student-centered instruction had approximately equal, statistically significant positive predicted effects (covariate-adjusted ESs = .03–.04). First-grade teachers in the U.S. may need to increase their use of teacher-directed instruction if they are to raise the mathematics achievement of students with MD. PMID:26180268

  9. Prospective Turkish Primary Teachers' Views about the Use of Computers in Mathematics Education (United States)

    Dogan, Mustafa


    The use of computers and technology in mathematics education affects students' learning, achievements, and affective dimensions. This study explores prospective Turkish primary mathematics teachers' views about the use of computers in mathematics education. The sample comprised of 129 fourth-year prospective primary mathematics teachers from two…

  10. How Preservice Teachers Use Children’s Literature to Teach Mathematical Concepts: Focus on Mathematical Knowledge for Teaching

    Directory of Open Access Journals (Sweden)

    Jennifer EDELMAN


    Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.

  11. How preservice teachers use children’s literature to teach mathematical concepts: Focus on mathematical knowledge for teaching

    Directory of Open Access Journals (Sweden)

    Jennifer Edelman


    Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.

  12. Why Do Students Drop Advanced Mathematics? (United States)

    Horn, Ilana


    Students, especially black, Latino and Native American youth and students of low socio-economic status drop out of advanced mathematics. Teachers must coordinate their expectations, their knowledge of students and their teaching practices in order to stop struggling students from dropping out of advanced math classes.

  13. Examining Pre-Service Mathematics Teachers' Conceptual Structures about "Geometry" (United States)

    Erdogan, Ahmet


    The aim of this study is to examine pre-service mathematics teachers' conceptual structures about "geometry". Qualitative research methodology has been adopted in the study. The data of the study is obtained from mathematics teacher candidates who have been students at the faculties of education of an Anatolian university in the academic…

  14. Attitudes of Pre-Service Mathematics Teachers towards Modelling: A South African Inquiry (United States)

    Jacobs, Gerrie J.; Durandt, Rina


    This study explores the attitudes of mathematics pre-service teachers, based on their initial exposure to a model-eliciting challenge. The new Curriculum and Assessment Policy Statement determines that mathematics students should be able to identify, investigate and solve problems via modelling. The unpreparedness of mathematics teachers in…

  15. Students' Thinking and the Depth of the Mathematics Curriculum (United States)

    Kent, Laura B.


    This article explores the impact of students' thinking centered professional development on mathematics teaching and learning. Purposeful pedagogy and problem posing are examined as mechanisms by which teachers can potentially deepen students' understanding of mathematics. A classroom example comparing student generated strategies versus…

  16. Being a Mathematics Teacher Educator in China: Challenges and Strategic Responses (United States)

    Wu, Yingkang; Hwang, Stephen; Cai, Jinfa


    In this exploratory study, we developed a portrait of the challenges and strategic responses of secondary mathematics teacher educators (MTEs) in Chinese universities. The MTEs reported encountering more challenges when teaching pedagogical courses and supervising student teachers than when teaching college mathematics courses and teaching…

  17. Prospective and Current Secondary Mathematics Teachers' Criteria for Evaluating Mathematical Cognitive Technologies (United States)

    Smith, Ryan C.; Shin, Dongjo; Kim, Somin


    As technology becomes more ubiquitous in the mathematics classroom, teachers are being asked to incorporate it into their lessons more than ever before. The amount of resources available online is staggering and teachers need to be able to analyse and identify resources that would be most appropriate and effective with their students. This study…

  18. Teachers' Teaching Experience and Students' Learning Outcomes ...

    African Journals Online (AJOL)


    Items 1 - 6 ... Keywords: teaching experience, students' learning outcomes, teacher incentives ... revealed that experienced teachers' perception of their teaching objectives were ... African Journal of Educational Studies in Mathematics and Sciences Vol. .... Years. English language. Mathematics Physics. Chemistry. Biology. %.

  19. Implementation and outcomes of inquiry-based learning in mathematics content courses for pre-service teachers (United States)

    Laursen, Sandra L.; Hassi, Marja-Liisa; Hough, Sarah


    This mixed-methods study describes classroom characteristics and student outcomes from university mathematics courses that are based in mathematics departments, targeted to future pre-tertiary teachers, and taught with inquiry-based learning (IBL) approaches. The study focused on three two-term sequences taught at two research universities, separately targeting elementary and secondary pre-service teachers. Classroom observation established that the courses were taught with student-centred methods that were comparable to those used in IBL courses for students in mathematics-intensive fields at the same institutions. To measure pre-service teachers' gains in mathematical knowledge for teaching, we administered the Learning Mathematics for Teaching (LMT) instrument developed by Hill, Ball and Schilling for in-service teacher professional development. Results from the LMT show that pre-service teachers made significant score gains from beginning to end of their course, while data from interviews and from surveys of learning gains show that pre-service teachers viewed their gains as relevant to their future teaching work. Measured changes on pre-/post-surveys of attitudes and beliefs were generally supportive of learning mathematics but modest in magnitude. The study is distinctive in applying the LMT to document pre-service teachers' growth in mathematical knowledge for teaching. The study also suggests IBL is an approach well suited to mathematics departments seeking to strengthen their pre-service teacher preparation offerings in ways consistent with research-based recommendations.

  20. Preparing Experienced Elementary Teachers as Mathematics Specialists (United States)

    Nickerson, Susan D.


    High quality teaching is critical to student learning, yet takes considerable time to develop in particular content areas. Students in high-poverty, urban settings are less likely to encounter experienced and trained teachers. Administrators from a large school district and university mathematics education faculty partnered and attempted to…


    Directory of Open Access Journals (Sweden)

    Mariya B. Shashkina


    Full Text Available The aim of the investigation is to describe the authors’ approach to the assessment of the professional competence of the future teacher of mathematics.Methods. The methods involve comparative analysis of the Professional Standard of the teacher and the Federal State Educational Standards in teacher education, as well as the method of predictive analysis of modern educational situation.Results. Qualimetric approach to the structuring of the professional competencies of students is described; it allows concretizing the assessment object, to select the criteria and levels of its formedness, to trace the dynamics of development in the medium of profile preparation of a bachelor. The methodology of assessment a professional-profile competence of the future mathematics teachers is proposed; examples of the competence-assessment tools are provided.Scientific novelty. The study gives a detailed analysis of developing the innovative approach to competencies assessment as metasubject learning outcomes.Practical significance. The proposed method of competencies assessment can be used in the mathematical preparation of the future mathematics teacher, and can serve as a basis for monitoring the professional competencies of students.

  2. Mathematics Teachers' Readiness to Integrate ICT in the Classroom: The Case of Elementary and Middle School Arab Teachers in Israel

    Directory of Open Access Journals (Sweden)

    Nimer F. Baya'a


    Full Text Available ICT integration in mathematics education provides mathematics teachers with integrative teaching methods that motivate students learning, support their independent learning and active participation in the discovery of mathematics concepts and topics, and, as a result, helps them have deeper understanding of the mathematical ideas. So, the integration of ICT in the teaching and learning of mathematics, as a result of ICT educational affordances, helps students have better achievement in mathematics. These potentialities of the ICT make its integration in the mathematics classroom a promising practice, but the success of this practice is dependent on various factors, among which are the following: teachers' perceptions of their ability in ICT, teachers' attitudes towards ICT contribution to the mathematics teaching, teachers' attitudes towards ICT contribution to students' mathematics learning, teachers' emotions towards the use of ICT in the mathematics classroom, teachers' feelings of self-esteem and control in the presence of ICT in the mathematics classroom, and teachers' intentions to actually integrate ICT in their teaching. The current research came to verify the readiness of Arab teachers in elementary and middle schools in Israel regarding the integration of ICT in the classroom, and hence its interest in the six above constructs. The research used a questionnaire that included statements related to each one of the above constructs. This questionnaire was administered to 475 Arab teachers in elementary and middle schools in the North, Center and Haifa regions in Israel. The research findings show that more than seventy percent of the participating teachers have positive perceptions of their competence in technology and technology integration in their teaching. Further, they have positive attitudes towards the integration of ICT in teaching and learning and of their self-esteem in the presence of technology, in addition to positive

  3. Teaching of Mathematics and Science in English: The Teachers' Voices (United States)

    Yahaya, Mohamad Fadhili Bin; Noor, Mohd Asri Bin Mohd; Mokhtar, Ahmad Azman Bin; Rawian, Rafizah Binti Mohd; Othman, Mahmod Bin; Jusoff, Kamaruzaman


    The policy to change the medium of instruction in the teaching of Mathematics and Science from Bahasa Melayu (Malay Language) to English in 2003 is an important innovation affecting not only the students but also teachers of Mathematics and Science. However, how far the changes affect the teachers is the issue addressed in the paper. In fact the…

  4. Mathematics Teachers' Response to the Reform Agenda: Results of the 1993 National Survey of Science and Mathematics Education. (United States)

    Weiss, Iris R.

    The NCTM Standards call for the introduction of challenging mathematics content for all students beginning in the early grades. If teachers are to guide students in their exploration of mathematics concepts, they must themselves have a firm grasp of powerful mathematics concepts. This paper uses data from the 1993 National Survey of Science and…

  5. Exploring Preservice Mathematics Teachers' Perception of the Mathematics Teacher through Communities of Practice (United States)

    Akkoç, Hatice; Balkanlioglu, Mehmet Ali; Yesildere-Imre, Sibel


    This research aimed to analyse the induction experiences of preservice mathematics teachers during their school placements through the lens of communities of practice. The main research question was concerned with how preservice mathematics teachers perceive what constitutes the practice of a professional community of mathematics teachers. A…

  6. Coming to Know and Do Mathematics with Disengaged Students (United States)

    Marshman, Margaret; Brown, Raymond


    This case study explored how students disaffected with their school experience were scaffolded during their participation in a middle-school mathematics classroom. Of particular interest were the level of student engagement in discussion about the mathematics being presented by the teacher and the approach to doing mathematics being displayed by…

  7. Finnish Mentor Mathematics Teachers' Views of the Teacher Knowledge Required for Teaching Mathematics (United States)

    Asikainen, Mervi A.; Pehkonen, Erkki; Hirvonen, Pekka E.


    Seven Finnish mentor mathematics teachers were interviewed about their views regarding the teacher knowledge required for teaching mathematics. The results of the interviews revealed not only the teachers' spontaneous views of the knowledge base needed for effective mathematics teaching but also their views of the particular types of teacher…

  8. Discrete Mathematics in Deaf Education: A Survey of Teachers' Knowledge and Use (United States)

    Pagliaro, C.; Kritzer, K. L.


    The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United…

  9. Using Mathematics Literature with Prospective Secondary Mathematics Teachers (United States)

    Jett, Christopher C.


    Literature in mathematics has been found to foster positive improvements in mathematics learning. This manuscript reports on a mathematics teacher educator's use of literature via literature circles with 11 prospective secondary mathematics teachers in a mathematics content course. Using survey and reflection data, the author found that…

  10. Constraints in the preparation of mathematics teachers: the way ...

    African Journals Online (AJOL)

    The study investigated the constraints in the preparation of Mathematics teachers in the colleges of education and the possible way forward. It used an ex-post facto research design in the colleges of education in Nigeria. 165 final year students of Mathematics and 30 Mathematics lecturers were selected samples from the 6 ...

  11. Good Mathematics Teaching from Mexican High School Students' Perspective (United States)

    Martinez-Sierra, Gustavo


    This paper reports a qualitative research that identifies the characteristics of good mathematics teaching from the perspective of Mexican high school students. For this purpose, the social representations of a good mathematics teacher and a good mathematics class were identified in a group of 67 students. In order to obtain information, a…

  12. Teacher Perspectives on Literacy and Mathematics Professional Development (United States)

    Martin, Christie; Polly, Drew; Mraz, Maryann; Algozzine, Robert


    This study examines teacher's perspectives of the most beneficial professional development they have participated in over the last three years in the content areas of literacy and mathematics. It also investigates teachers views on how professional development influences student learning. Specifically, this study is grounded in the following…

  13. Proposal of a pedagogical model for mathematics teacher education

    Directory of Open Access Journals (Sweden)

    Alfonso Jiménez Espinosa


    Full Text Available This research-based article reflects on mathematics teacher education, and proposes a pedagogical model for this purpose, called Gradual Research Pedagogical Model (MPGI. This model considers the central curricular elements of any academic education process: student, teacher and contents, with evaluation as transversal element for analysis and feedback. The training of future teachers is constituted by three moments, each with its specific emphasis: the first is “contextualization”, which aims at having the student understand his or her new academic role, and identify and overcome his or her academic weak points, the second is “knowledge foundation”, which offers basic education in the fields of mathematics and pedagogy, as well as sensibilization towards social issues, opening up the student’s possibilities as leader and agent of change, and lastly, “knowledge immersion”, which is centered on research and the identification and study of topics and problems of the mathematical discipline as well as the pedagogical field.

  14. Project-Based Learning and Design-Focused Projects to Motivate Secondary Mathematics Students (United States)

    Remijan, Kelly W.


    This article illustrates how mathematics teachers can develop design-focused projects, related to project-based learning, to motivate secondary mathematics students. With first-hand experience as a secondary mathematics teacher, I provide a series of steps related to the engineering design process, which are helpful to teachers in developing…

  15. Using collective argumentation to engage students in a primary mathematics classroom (United States)

    Brown, Raymond


    This article focuses on using sociocultural theory to support student engagement with mathematics. The sociocultural approach used, collective argumentation (CA), is based on interactive principles necessary for coordinating student engagement in the discourse of the classroom. A goal of the research was to explore the affordances and constraints of using CA to enrich student engagement with mathematics. The design of the research was based on a teaching experiment that sought to capture the influence of social and cultural processes on learning and development. Participants included primary and secondary school teachers and their mathematics classes. This article focuses on the practice of one female primary school teacher. Data sources included interview transcripts, report writings, journal entries and observational records. Data were analysed using a participation framework. Findings suggest that aspects of CA such as students explaining and justifying ideas and presenting ideas to the whole class can be used by teachers to promote student engagement with mathematics.

  16. Mathematics Teachers' Ideas about Mathematical Models: A Diverse Landscape (United States)

    Bautista, Alfredo; Wilkerson-Jerde, Michelle H.; Tobin, Roger G.; Brizuela, Bárbara M.


    This paper describes the ideas that mathematics teachers (grades 5-9) have regarding mathematical models of real-world phenomena, and explores how teachers' ideas differ depending on their educational background. Participants were 56 United States in-service mathematics teachers. We analyzed teachers' written responses to three open-ended…

  17. Utilising a construct of teacher capacity to examine national curriculum reform in mathematics (United States)

    Zhang, Qinqiong; Stephens, Max


    This study involving 120 Australian and Chinese teachers introduces a construct of teacher capacity to analyse how teachers help students connect arithmetic learning and emerging algebraic thinking. Four criteria formed the basis of our construct of teacher capacity: knowledge of mathematics, interpretation of the intentions of official curriculum documents, understanding of students' thinking, and design of teaching. While these key elements connect to what other researchers refer to as mathematical knowledge for teaching, several differences are made clear. Qualitative and quantitative analyses show that our construct was robust and effective in distinguishing between different levels of teacher capacity.

  18. Teachers' Awareness of the Semio-Cognitive Dimension of Learning Mathematics (United States)

    Iori, Maura


    While many semiotic and cognitive studies on learning mathematics have focused primarily on students, this study focuses mainly on teachers, by seeking to bring to light their awareness of the semiotic and cognitive aspects of learning mathematics. The aim is to highlight the degree of awareness that teachers show about: (1) the distinction…

  19. Exploring Bilingual Teachers' Beliefs about Academic Language Development in Mathematics Teaching: Implications for Bilingual Teachers' Professional Development (United States)

    Canales-Vela, Viola


    The achievement of mathematics within Hispanic youth is of great concern across the nation. In order to improve student achievement in mathematics, the nature of a mathematics teacher's complex belief system must be understood (McGee & Wang, 2014). The purpose of this exploratory qualitative study is to investigate the K-5 bilingual teachers'…

  20. The Effects of Constructivist Learning Environment on Prospective Mathematics Teachers' Opinions (United States)

    Narli, Serkan; Baser, Nes'e


    To explore the effects of constructivist learning environment on prospective teachers' opinions about "mathematics, department of mathematics, discrete mathematics, countable and uncountable infinity" taught under the subject of Cantorian Set Theory in discrete mathematics class, 60 first-year students in the Division of Mathematics…

  1. Perception of mathematics teachers on cooperative learning method in the 21st century (United States)

    Taufik, Nurshahira Alwani Mohd; Maat, Siti Mistima


    Mathematics education is one of the branches to be mastered by students to help them compete with the upcoming challenges that are very challenging. As such, all parties should work together to help increase student achievement in Mathematics education in line with the Malaysian Education Blueprint (MEB) 2010-2025. Teaching methods play a very important role in attracting and fostering student understanding and interested in learning Mathematics. Therefore, this study was conducted to identify the perceptions of teachers in carrying out cooperative methods in the teaching and learning of mathematics. Participants of this study involving 4 teachers who teach Mathematics in primary schools around the state of Negeri Sembilan. Interviews are used as a method for gathering data. The findings indicate that cooperative methods help increasing interest and understanding in the teaching and learning of mathematics. In conclusion, the teaching methods affect the interest and understanding of students in the learning of Mathematics in the classroom.

  2. Profile of male-field dependent (FD) prospective teacher's reflective thinking in solving contextual mathematical problem (United States)

    Agustan, S.; Juniati, Dwi; Siswono, Tatag Yuli Eko


    Reflective thinking is an important component in the world of education, especially in professional education of teachers. In learning mathematics, reflective thinking is one way to solve mathematical problem because it can improve student's curiosity when student faces a mathematical problem. Reflective thinking is also a future competence that should be taught to students to face the challenges and to respond of demands of the 21st century. There are many factors which give impact toward the student's reflective thinking when student solves mathematical problem. One of them is cognitive style. For this reason, reflective thinking and cognitive style are important things in solving contextual mathematical problem. This research paper describes aspect of reflective thinking in solving contextual mathematical problem involved solution by using some mathematical concept, namely linear program, algebra arithmetic operation, and linear equations of two variables. The participant, in this research paper, is a male-prospective teacher who has Field Dependent. The purpose of this paper is to describe aspect of prospective teachers' reflective thinking in solving contextual mathematical problem. This research paper is a descriptive by using qualitative approach. To analyze the data, the researchers focus in four main categories which describe prospective teacher's activities using reflective thinking, namely; (a) formulation and synthesis of experience, (b) orderliness of experience, (c) evaluating the experience and (d) testing the selected solution based on the experience.

  3. Mathematics Teacher Identity in the Context of Mathematics Reform: Elementary Teacher Experiences


    Sun, Jennifer


    ABSTRACT OF THE DISSERTATIONMathematics Teacher Identity in the Context of Mathematics Reform:Elementary Teacher Experiences ByJennifer SunDoctor of Philosophy in EducationUniversity of California, Irvine, 2017Associate Professor Elizabeth A. van Es, ChairReform efforts and changes in mathematics education have brought on a shift towards a new vision of mathematics teaching in the United States. In light of recent accountability standards, the focus on teacher learning within the context of m...

  4. Capturing student mathematical engagement through differently enacted classroom practices: applying a modification of Watson's analytical tool (United States)

    Patahuddin, Sitti Maesuri; Puteri, Indira; Lowrie, Tom; Logan, Tracy; Rika, Baiq


    This study examined student mathematical engagement through the intended and enacted lessons taught by two teachers in two different middle schools in Indonesia. The intended lesson was developed using the ELPSA learning design to promote mathematical engagement. Based on the premise that students will react to the mathematical tasks in the forms of words and actions, the analysis focused on identifying the types of mathematical engagement promoted through the intended lesson and performed by students during the lesson. Using modified Watson's analytical tool (2007), students' engagement was captured from what the participants' did or said mathematically. We found that teachers' enacted practices had an influence on student mathematical engagement. The teacher who demonstrated content in explicit ways tended to limit the richness of the engagement; whereas the teacher who presented activities in an open-ended manner fostered engagement.


    Directory of Open Access Journals (Sweden)

    Tatochenko V.


    Full Text Available An article devoted to the actual problem of professional pedagogical education - the modern tendencies of updating the system of professional training of the future teacher of mathematics. The relevance of the study is due to rapid changes in society, which involve making changes to the goal of preparing speech to life, which requires the teacher to transition from the knowledge model to the competent. This necessitates a fundamental need to rethink all the factors on which the quality of the educational process depends. In the article, based on the analysis of social production in societies of different types, the goal of general education at the stage of transition from industrial to postindustrial society is specified. The specified purpose explains the necessity of changes as a mathematical education in general educational institutions, as well as the system of professional training of teachers of mathematics. On the basis of the analysis of the state of the problem, a number of contradictions in the preparation of future mathematics teachers who will work in qualitatively new conditions of postindustrial information societies, which are characterized by rapid development and dynamism, is highlighted, the problem of preparing teachers for professional activity in a new, communicative environment, when the aging of information occurs faster than the educational cycle in an educational institution ends. The term "professional activity of the teacher of mathematics" is defined as a holistic purposeful complex open volatile dynamic pedagogical system, the functioning of which involves resistance to certain subsystems that ensure the readiness of students for effective pedagogical activity. The interconnection of subsystems on the basis of their integration allows achieving the main goal of the system - to prepare a competent teacher of mathematics. The functioning of such a system provides the creation of conditions for the development of the

  6. Students' Extrinsic and Intrinsic Motivation Level and Its Relationship with Their Mathematics Achievement (United States)

    Acar Güvendir, Meltem


    This study focused on the extrinsic and intrinsic motivation levels of eighth grade students and its relationship with their mathematical achievement. The participants of the study included 6,829 students who took TIMSS in 2011 and 239 mathematics teachers. The data obtained from the student and teacher questionnaires that are included in the…

  7. Prospective Middle-School Mathematics Teachers' Quantitative Reasoning and Their Support for Students' Quantitative Reasoning (United States)

    Kabael, Tangul; Akin, Ayca


    The aim of this research is to examine prospective mathematics teachers' quantitative reasoning, their support for students' quantitative reasoning and the relationship between them, if any. The teaching experiment was used as the research method in this qualitatively designed study. The data of the study were collected through a series of…

  8. Mathematics Teacher Identity in the Context of Mathematics Reform: Elementary Teacher Experiences (United States)

    Sun, Jennifer


    Reform efforts and changes in mathematics education have brought on a shift towards a new vision of mathematics teaching in the United States. In light of recent accountability standards, the focus on teacher learning within the context of mathematics professional development is even more pressing. Prior research on teacher learning in the context…

  9. Science and Mathematics Teachers Working Toward Equity Through Teacher Research: Tracing Changes Across Their Research Process and Equity Views (United States)

    Brenner, Mary E.; Bianchini, Julie A.; Dwyer, Hilary A.


    We investigated secondary science and mathematics teachers engaged in a two-and-a-half-year professional development effort focused on equity. We examined how teachers conducting research on their own instructional practices—a central learning strategy of the professional development project—informed and/or constrained their views related to three strands of equity: teachers and teaching, students and learning, and students' families and communities. Data collected included recordings of professional development seminars and school-site meetings, three sets of individual interviews with teacher researchers, and drafts and final products of the classroom research teachers conducted. From our qualitative analyses of data, we found that most teachers addressed at least two of the three equity strands in researching their own practice. We also found that most transformed their understandings of teachers and students as a result of their teacher research process. However, teachers' views of families and communities changed in less substantive ways. We close with recommendations for other researchers and professional developers intent on supporting science and mathematics teachers in using teacher research to work toward equity.

  10. A study of students' learning styles and mathematics anxiety amongst form four students in Kerian Perak (United States)

    Esa, Suraya; Mohamed, Nurul Akmal


    This study aims to identify the relationship between students' learning styles and mathematics anxiety amongst Form Four students in Kerian, Perak. The study involves 175 Form Four students as respondents. The instrument which is used to assess the students' learning styles and mathematic anxiety is adapted from the Grasha's Learning Styles Inventory and the Mathematics Anxiety Scale (MAS) respectively. The types of learning styles used are independent, avoidant, collaborative, dependent, competitive and participant. The collected data is processed by SPSS (Statistical Packages for Social Sciences 16.0). The data is analysed by using descriptive statistics and inferential statistics that include t-test and Pearson correlation. The results show that majority of the students adopt collaborative learning style and the students have moderate level of mathematics anxiety. Moreover, it is found that there is significant difference between learning style avoidant, collaborative, dependent and participant based on gender. Amongst all students' learning style, there exists a weak but significant correlation between avoidant, independent and participant learning style and mathematics anxiety. It is very important for the teachers need to be concerned about the effects of learning styles on mathematics anxiety. Therefore, the teachers should understand mathematics anxiety and implement suitable learning strategies in order for the students to overcome their mathematics anxiety.

  11. Examples in the Teaching of Mathematics: Teachers' Perceptions (United States)

    Ng, Lay Keow; Dindyal, Jaguthsing


    As part of a study examining how teachers in Singapore select and use examples for teaching mathematics, 121 teachers from 24 secondary schools responded to three open-ended questions about the use of examples in teaching. The results show that students' abilities and the difficulty level of the examples were among the topmost considerations…

  12. Development and Validation of the Mathematics Teachers' Beliefs about English Language Learners Survey (MTBELL) (United States)

    Gann, Linda; Bonner, Emily P.; Moseley, Christine


    Given the increasing number of English Language Learners (ELLs) in secondary mathematics classrooms, it is imperative that mathematics teacher educators develop measures for determining how and why secondary mathematics teachers (SMTs) understand and respond instructionally to these students. This paper reports on the initial development and…

  13. Teachers' perceptions of students' mathematics proficiency may exacerbate early gender gaps in achievement. (United States)

    Robinson-Cimpian, Joseph P; Lubienski, Sarah Theule; Ganley, Colleen M; Copur-Gencturk, Yasemin


    A recent wave of research suggests that teachers overrate the performance of girls relative to boys and hold more positive attitudes toward girls' mathematics abilities. However, these prior estimates of teachers' supposed female bias are potentially misleading because these estimates (and teachers themselves) confound achievement with teachers' perceptions of behavior and effort. Using data from the Early Childhood Longitudinal Study, Kindergarten Class of 1998-1999 (ECLS-K), Study 1 demonstrates that teachers actually rate boys' mathematics proficiency higher than that of girls when conditioning on both teachers' ratings of behavior and approaches to learning as well as past and current test scores. In other words, on average girls are only perceived to be as mathematically competent as similarly achieving boys when the girls are also seen as working harder, behaving better, and being more eager to learn. Study 2 uses mediation analysis with an instrumental-variables approach, as well as a matching strategy, to explore the extent to which this conditional underrating of girls may explain the widening gender gap in mathematics in early elementary school. We find robust evidence suggesting that underrating girls' mathematics proficiency accounts for a substantial portion of the development of the mathematics achievement gap between similarly performing and behaving boys and girls in the early grades. PsycINFO Database Record (c) 2014 APA, all rights reserved.

  14. The written mathematical communication profile of prospective math teacher in mathematical proving (United States)

    Pantaleon, K. V.; Juniati, D.; Lukito, A.; Mandur, K.


    Written mathematical communication is the process of expressing mathematical ideas and understanding in writing. It is one of the important aspects that must be mastered by the prospective math teacher as tool of knowledge transfer. This research was a qualitative research that aimed to describe the mathematical communication profile of the prospective mathematics teacher in mathematical proving. This research involved 48 students of Mathematics Education Study Program; one of them with moderate math skills was chosen as the main subject. Data were collected through tests, assignments, and task-based interviews. The results of this study point out that in the proof of geometry, the subject explains what is understood, presents the idea in the form of drawing and symbols, and explains the content/meaning of a representation accurately and clearly, but the subject can not convey the argument systematically and logically. Whereas in the proof of algebra, the subject describes what is understood, explains the method used, and describes the content/meaning of a symbolic representation accurately, systematically, logically, but the argument presented is not clear because it is insufficient detailed and complete.

  15. Pedagogical content knowledge: Knowledge of pedagogy novice teachers in mathematics learning on limit algebraic function (United States)

    Ma'rufi, Budayasa, I. Ketut; Juniati, Dwi


    Teacher is one of the key aspects of student's achievement. Teachers should master content material taught, how to teach it, and can interpret the students' thinking so that students easily understand the subject matter. This research was a qualitative research that aimed at describing profile of PCK's teachers in mathematics on limit algebraic functions in terms of the differences of teaching experience. Pedagogical Content Knowledge (PCK) and understanding of teachers is defined as involving the relationship between knowledge of teaching materials, how to transfer the subject matter, and the knowledge of students in mathematics on limit algebraic functions that the subject matter may be understood by students. The PCK components in this research were knowledge of subject matter, knowledge of pedagogy, and knowledge of students. Knowledge of pedagogy defines as knowledge and understanding of teachers about the planning and organization of the learning and teaching strategy of limit algebraic function. The subjects were two mathematics high school teachers who teach in class XI IPS. Data were collected through observation of learning during five meetings and interviews before and after the lesson continued with qualitative data analysis. Focus of this article was to describe novice teacher's knowledge of student in mathematics learning on limit algebraic function. Based on the results of the analysis of qualitative data the data concluded that novice teacher's knowledge of pedagogy in mathematics on limit algebraic function showed: 1) in teaching the definitions tend to identify prior knowledge of the student experience with the material to be studied, but not in the form of a problem, 2) in posing the questions tend to be monotonous non lead and dig, 3) in response to student questions preservice teachers do not take advantage of the characteristics or the potential of other students, 4) in addressing the problem of students, tend to use the drill approach and did

  16. Student Perspectives of Web-Based Mathematics (United States)

    Loong, Esther Yook-Kin; Herbert, Sandra


    This paper presents the results of a survey conducted with students (N = 97) whose teachers have used the Web in their mathematics classes. Their responses to the use of the Internet for learning mathematics are reported here. Factor analyses were used to determine the constructs that underlie the survey. These constructs were found to be…

  17. Preservice Teachers' Perceptions of the Integration of Mathematics, Reading, and Writing. (United States)

    Reinke, Kathryn; Mokhtari, Kouider; Willner, Elizabeth


    Examined the perceptions of preservice elementary teachers enrolled in reading, mathematics, and integrating reading and mathematics methods courses about integrating mathematics, reading, and writing instruction at the elementary/middle school level. Surveys indicated that all students were generally positive about instructional integration. They…

  18. The Integration of Mathematics in Middle School Science: Student and Teacher Impacts Related to Science Achievement and Attitudes towards Integration (United States)

    McHugh, Luisa


    Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to…

  19. A Model for Increasing Reform Implementation and Teacher Efficacy: Teacher Peer Coaching in Grades 3 and 6 Mathematics (United States)

    Bruce, Catherine D.; Ross, John A.


    This study examined the effects of peer coaching on mathematics teaching practices and teacher beliefs about their capacity to have an impact on student learning. Twelve teachers in grades 3 and 6 participated in a brief but intensive professional development program over six months. The program focused on effective mathematics teaching strategies…

  20. On Mathematical Understanding: Perspectives of Experienced Chinese Mathematics Teachers (United States)

    Cai, Jinfa; Ding, Meixia


    Researchers have long debated the meaning of mathematical understanding and ways to achieve mathematical understanding. This study investigated experienced Chinese mathematics teachers' views about mathematical understanding. It was found that these mathematics teachers embrace the view that understanding is a web of connections, which is a result…

  1. Pre-College Science and Mathematics Teachers: Supply, Demand, and Quality (United States)


    The most recent mathematics assessment from the National Assessment of Educational Progress (NAEP) found that "most students, even at age 17, do not...teachers in most states over the past decade (Association for School, College, and University Staffing ( ASCUS ), 1984, 1986), and there is some...physics and chemistry, for a number of years (Howe and Gerlovich, 1982; ASCUS , 1986). Other data suggest that many new mathematics and science teachers

  2. The impact of high-stakes, state-mandated student performance assessment on 10th grade English, mathematics, and science teachers' instructional practices (United States)

    Vogler, Kenneth E.

    The purpose of this study was to determine if the public release of student results on high-stakes, state-mandated performance assessments influence instructional practices, and if so in what manner. The research focused on changes in teachers' instructional practices and factors that may have influenced such changes since the public release of high-stakes, state-mandated student performance assessment scores. The data for this study were obtained from a 54-question survey instrument given to a stratified random sample of teachers teaching at least one section of 10th grade English, mathematics, or science in an academic public high school within Massachusetts. Two hundred and fifty-seven (257) teachers, or 62% of the total sample, completed the survey instrument. An analysis of the data found that teachers are making changes in their instructional practices. The data show notable increases in the use of open-response questions, creative/critical thinking questions, problem-solving activities, use of rubrics or scoring guides, writing assignments, and inquiry/investigation. Teachers also have decreased the use of multiple-choice and true-false questions, textbook-based assignments, and lecturing. Also, the data show that teachers felt that changes made in their instructional practices were most influenced by an "interest in helping my students attain MCAS assessment scores that will allow them to graduate high school" and by an "interest in helping my school improve student (MCAS) assessment scores," Finally, mathematics teachers and teachers with 13--19 years of experience report making significantly more changes than did others. It may be interpreted from the data that the use of state-mandated student performance assessments and the high-stakes attached to this type of testing program contributed to changes in teachers' instructional practices. The changes in teachers' instructional practices have included increases in the use of instructional practices deemed

  3. Research trends in mathematics teacher education

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    Lo, Jane-Jane; Zoest, Laura RVan


    Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching.Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers' learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to...

  4. Pre-service mathematics teachers' learning and teaching of activity-based lessons supported with spreadsheets

    NARCIS (Netherlands)

    Agyei, D.D.; Voogt, Joke; Resta, P.


    Mathematics education research has shown that too few students have adequate mathematics comprehension or problem-solving skills. To make up for this lapse in student outcomes, mathematics teachers should be among the most enthusiastic in seeking to maximize technologies’ potential to develop

  5. The Impacts of a Service-Learning Experience on Pre-Service Mathematics Teachers (United States)

    Lee, Kyong-Hee; Statham, Anne


    This study examines the benefits that can be achieved by pre-service teachers tutoring mathematics in after school programs. Analysis of student journal entries show enhanced ability to meet National Council of Teachers of Mathematics' (NCTM) process standards and methods of assessment, as well as greater awareness of the need to teach to…

  6. Assessment of Primary 5 Students' Mathematical Modelling Competencies (United States)

    Chan, Chun Ming Eric; Ng, Kit Ee Dawn; Widjaja, Wanty; Seto, Cynthia


    Mathematical modelling is increasingly becoming part of an instructional approach deemed to develop students with competencies to function as 21st century learners and problem solvers. As mathematical modelling is a relatively new domain in the Singapore primary school mathematics curriculum, many teachers may not be aware of the learning outcomes…

  7. Construction of teacher knowledge in context: Preparing elementary teachers to teach mathematics and science (United States)

    Lowery, Maye Norene Vail


    The purposes of this study were to further the understanding of how preservice teacher construct teacher knowledge and pedagogical content knowledge of elementary mathematics and science and to determine the extent of that knowledge in a school-based setting. Preservice teachers, university instructors, inservice teachers, and other school personnel were involved in this context-specific study. Evidence of the preservice teachers' knowledge construction (its acquisition, its dimensions, and the social context) was collected through the use of a qualitative methodology. Collected data included individual and group interviews, course documents, artifacts, and preservice teaching portfolios. Innovative aspects of this integrated mathematics and science elementary methods course included standards-based instruction with immediate access to field experiences. Grade-level teams of preservice and inservice teachers planned and implemented lessons in mathematics and science for elementary students. An on-site, portable classroom building served as a mathematics and science teaching and learning laboratory. A four-stage analysis was performed, revealing significant patterns of learning. An ecosystem of learning within a constructivist learning environment was identified to contain three systems: the university system; the school system; and the cohort of learners system. A mega system for the construction of teacher knowledge was revealed in the final analysis. Learning venues were discovered to be the conduits of learning in a situated learning context. Analysis and synthesis of data revealed an extensive acquisition of teacher knowledge and pedagogical content knowledge through identified learning components. Patience, flexibility, and communication were identified as necessities for successful teaching. Learning components included: collaboration with inservice teachers; implementation of discovery learning and hands-on/minds-on learning; small groupwork; lesson planning

  8. Participation of rural Zimbabwean female students in mathematics: The influence of perception

    Directory of Open Access Journals (Sweden)

    Anna Gudyanga


    Full Text Available The study was premised on the influence of perceptions on the participation of Ordinary Level rural African Zimbabwean female students in mathematics. Qualitative research design grounded in the interpretive paradigm was employed. Eighteen Ordinary Level female students and six teachers purposively selected from three rural co-educational secondary schools participated in the study. Data were generated through lesson observations and semi-structured question type interview guide. Findings revealed that rural female students perceived mathematics as a difficult subject, masculine and irrelevant to their future aspirations. Participants outlined that their perceptions were rooted in the prevailing cultural belief that mathematics is a masculine subject and negative stereotypes about girls’ maths abilities. Further findings indicate that female students’ participation in mathematics was highly influenced by their perception towards the subject. These perceptions result in the development of a general negative attitude to the subject that caused fewer female students to participate in mathematics in large numbers. We recommended parents and teachers to work hard to eliminate the negative gender and cultural stereotypes in order to enhance female students’ confidence in mathematics abilities. Schools should employ female mathematics teachers and expose female students to female role models who have succeeded in life in order to encourage more participation of female students in mathematics. Schools are made responsible for smoothing out difficulties generated by the prevailing culture. There is a gap in knowledge base pertaining to the Zimbabwean rural girls’ participation in Mathematics.

  9. Applying an alternative mathematics pedagogy for students with weak mathematics: meta-analysis of alternative pedagogies (United States)

    Lake, Warren; Wallin, Margie; Woolcott, Geoff; Boyd, Wendy; Foster, Alan; Markopoulos, Christos; Boyd, William


    Student mathematics performance and the need for work-ready graduates to be mathematics-competent is a core issue for many universities. While both student and teacher are responsible for learning outcomes, there is a need to explicitly acknowledge the weak mathematics foundation of many university students. A systematic literature review was undertaken of identified innovations and/or interventions that may lead to improvement in student outcomes for university mathematics-based units of study. The review revealed the importance of understanding the foundations of student performance in higher education mathematics learning, especially in first year. Pre-university mathematics skills were identified as significant in student retention and mathematics success at university, and a specific focus on student pre-university mathematics skill level was found to be more effective in providing help, rather than simply focusing on a particular at-risk group. Diagnostics tools were found to be important in identifying (1) student background and (2) appropriate intervention. The studies highlighted the importance of appropriate and validated interventions in mathematics teaching and learning, and the need to improve the learning model for mathematics-based subjects, communication and technology innovations.


    Directory of Open Access Journals (Sweden)

    Iuliana Marchis


    Full Text Available Self-regulated learning skills are important in mathematical problem solving. The aim of the paper is to present a research on how mathematics teachers guide their pupils’ mathematical problem-solving activities in order to increase self-regulation. 62 teachers have filled in a questionnaire developed for this research. The results are show that more than two third of the teachers promote the methods of understanding the problem; develop pupils’ self-efficacy and self-control. But only one third of the teachers ask pupils to use different strategies for solving a problem; ask students to explain the solution to their colleagues. In case of unsuccessful problem solving only one third of the respondents ask pupils to present previous knowledge about the problem or/and recall and try different methods.

  11. Preservice Secondary Mathematics Teachers’ Knowledge of Students


    Kılıç, Hülya


    The aim of this paper is to present the nature of preservice secondary mathematics teachers’ knowledge of students as emerged from a study investigating the development of their pedagogical content knowledge in a methods course and its associated field experience. Six preservice teachers participated in the study and the data were collected in the forms of observations, interviews and written documents. Knowledge of students is defined as teachers’ knowledge of what mathematical concepts are ...

  12. The Effects of STEM PBL on Students' Mathematical and Scientific Vocabulary Knowledge (United States)

    Bilgin, Ali; Boedeker, Peter; Capraro, Robert M.; Capraro, Mary M.


    Vocabulary is at the surface level of language usage; thus, students need to develop mathematical and scientific vocabulary to be able to explicitly communicate their mathematical and scientific reasoning with others. The National Council of Teachers of Mathematics (NCTM) and the National Science Teachers Association (NSTA) have both created…

  13. Persisting mathematics and science high school teachers: A Q-methodology study (United States)

    Robbins-Lavicka, Michelle M.

    There is a lack of qualified mathematics and science teachers at all levels of education in Arkansas. Lasting teaching initiative programs are needed to address retention so qualified teachers remain in the classroom. The dearth of studies regarding why mathematics and science teachers persist in the classroom beyond the traditional 5-year attrition period led this Q-methodological study to evaluate the subjective perceptions of persistent mathematics and science teachers to determine what makes them stay. This study sought to understand what factors persisting mathematics and science teachers used to explain their persistence in the classroom beyond 5 years and what educational factors contributed to persisting mathematics and science teachers. Q-methodology combines qualitative and quantitative techniques and provided a systematic means to investigate personal beliefs by collecting a concourse, developing a Q-sample and a person-sample, conducting a Q-sorting process, and analyzing the data. The results indicated that to encourage longevity within mathematics and science classrooms (a) teachers should remain cognizant of their ability to influence student attitudes toward teaching; (b) administrators should provide support for teachers and emphasize the role and importance of professional development; and (c) policy makers should focus their efforts and resources on developing recruitment plans, including mentorship programs, while providing and improving financial compensation. Significantly, the findings indicate that providing mentorship and role models at every level of mathematics and science education will likely encourage qualified teachers to remain in the mathematics and science classrooms, thus increasing the chance of positive social change.

  14. Teacher Learning in a Mathematics and Science Inquiry Professional Development Program: First Steps in Emergent Teacher Leadership (United States)

    Yow, Jan A.; Lotter, Christine


    This study investigates the role of an inquiry professional development institute in empowering middle school mathematics and science teachers to develop as teacher leaders. Teachers and coaches jointly attended content sessions and participated in practice teaching sessions with students. The coaches led reflection sessions following the practice…

  15. Mobile learning to improve mathematics teachers mathematical competencies (United States)

    Hendrayana, A.; Wahyudin


    The role of teachers is crucial to the success of mathematics learning. One of the learning indicator is characterized by the students’ improved mathematical proficiency. In order to increase that, it is necessary to improve the teacher’s mathematical skills first. For that, it needs an innovative way to get teachers close to easily accessible learning resources through technology. The technology can facilitate teachers to access learning resources anytime and anywhere. The appropriate information technology is mobile learning. Innovations that can make teachers easy to access learning resources are mobile applications that can be accessed anytime and anywhere either online or offline. The research method was research development method. In preliminary analysis, subjects consist of teachers and lecturers in professional teacher education program. The results that the teachers ready to adopt mobile-learning for the improvement of their skills.

  16. Pre-Service Teachers' Beliefs about Knowledge, Mathematics, and Science (United States)

    Cady, Jo Ann; Rearden, Kristin


    This study examines the beliefs of K-8 preservice teachers during a content methods course. The goals of this course included exposing the preservice teachers to student-centered instructional methods for math and science and encouraging the development of lessons that would integrate mathematics and science. Prior research suggested that one must…

  17. Mathematics Teachers and ICT: Factors Affecting Pre-Service Use in School Placements (United States)

    Bozkurt, Gulay


    This study examines the factors influencing student teachers' use of information and communication technology (ICT) to teach mathematics. Data collection involved questionnaire surveys and individual follow-up semi-structured interviews of student teachers concerning the factors that they felt had hindered or promoted their development in the use…

  18. Shortage of Mathematics Teachers in Thai Basic Education Level (United States)

    Puncreobutr, Vichian; Rattanatumma, Tawachai


    The objective of this study was to identify the reasons for shortage of Mathematics teachers at Thai Basic Education level. This research is both quantitative and qualitative in nature. For the purpose of study, survey was conducted with senior high school students, in order to find out their willingness to pursue mathematics in Bachelor of…

  19. Deepening Prospective Mathematics Teachers' Diagnostic Judgments: Interplay of Videos, Focus Questions and Didactic Categories (United States)

    Prediger, Susanne; Zindel, Carina


    This article combines different conceptualizations of teachers' diagnostic competence in listening to students' mathematical thinking processes on the levels of general perspectives, noticed aspects and activated didactic categories. An empirical study of 159 prospective mathematics teachers' diagnostic judgments investigated how these levels are…

  20. Developing a pedagogical problem solving view for mathematics teachers with two reflection programs

    Directory of Open Access Journals (Sweden)

    Bracha KRAMARSKI


    Full Text Available The study investigated the effects of two reflection support programs on elementary school mathematics teachers’ pedagogical problem solving view. Sixty-two teachers participated in a professional development program. Thirty teachers were assigned to the self-questioning (S_Q training and thirty two teachers were assigned to the reflection discourse (R_D training. The S_Q program was based on the IMPROVE self-questioning approach which emphasizes systematic discussion along the phases of mathematical or pedagogical problem solving as student and teacher. The R_D program emphasized discussion of standard based teaching and learning principles. Findings indicated that systematic reflection support (S_Q is effective for developing mathematics PCK, and strengthening metacognitive knowledge of mathematics teachers, more than reflection discourse (R_D. No differences were found between the groups in developing beliefs about teaching mathematics in using problem solving view.

  1. Students' Big Three Personality Traits, Perceptions of Teacher Interpersonal Behavior, and Mathematics Achievement: An Application of the Model of Reciprocal Causation (United States)

    Charalampous, Kyriakos; Kokkinos, Constantinos M.


    The purpose of the present study was to investigate the application of the Model of Reciprocal Causation (MRC) in examining the relationship between student personality (personal factors), student-perceived teacher interpersonal behavior (environment), and Mathematics achievement (behavior), with the simultaneous investigation of mediating effects…

  2. Connecting Pre-Service Teachers with Contemporary Mathematics Practices: Selecting and Sequencing Students' Work Samples (United States)

    Livy, Sharyn; Muir, Tracey; Downton, Ann


    One of the challenges facing teacher educators is providing our pre-service teachers (PSTs) with authentic experiences that cross the boundaries between Initial Teacher Education (ITE) and the classroom. An additional challenge facing the mathematics teacher educator, is addressing and deepening PSTs' mathematical content knowledge (MCK), which…

  3. Bridging a gap between theory and practice in mathematics teacher education

    DEFF Research Database (Denmark)

    Jóelsdóttir, Lóa Björk; Errebo-Hansen, Dorthe; Westphael, Henning

    Bridging the dichotomy of theory and practices has long been a key issue of the research in teacher education both in general and within mathematics education (Østergaard, 2016). In the15th ICMI Study (Even & Ball, 2009) there is brief discussion of this dichotomy in (Ponte et al, 2009) but mainly...... the perspective is either on students learning from practice or students learning in an educational programme, which we see as an example of the dichotomy between theory and practices often seen in research of mathematics teacher education. In studies, focusing on bridging the gap often it is seen being...

  4. Characterization of mathematics instructional practises for prospective elementary teachers with varying levels of self-efficacy in classroom management and mathematics teaching (United States)

    Lee, Carrie W.; Walkowiak, Temple A.; Nietfeld, John L.


    The purpose of this study was to investigate the relationship between prospective teachers' (PTs) instructional practises and their efficacy beliefs in classroom management and mathematics teaching. A sequential, explanatory mixed-methods design was employed. Results from efficacy surveys, implemented with 54 PTs were linked to a sample of teachers' instructional practises during the qualitative phase. In this phase, video-recorded lessons were analysed based on tasks, representations, discourse, and classroom management. Findings indicate that PTs with higher levels of mathematics teaching efficacy taught lessons characterised by tasks of higher cognitive demand, extended student explanations, student-to-student discourse, and explicit connections between representations. Classroom management efficacy seems to bear influence on the utilised grouping structures. These findings support explicit attention to PTs' mathematics teaching and classroom management efficacy throughout teacher preparation and a need for formative feedback to inform development of beliefs about teaching practises.

  5. An Investigation of Mathematical Knowledge Related to Mathematics Teachers' Basic Concepts in Sets Unit

    Directory of Open Access Journals (Sweden)

    Nurullah YAZICI


    Full Text Available This research was conducted in order to examine the subject matter of Mathematics teachers in the context of "Mathematical Knowledge For Teaching" (MKT model of "Basic Concepts in Sets" which is the first topic of the 9th class "Sets". The study group, which is one of the qualitative research methods, used the case study design, constitutes 5 mathematics teachers who work in different education levels (primary and secondary education in the academic year of 2015-2016. Open-ended questions and semi-structured interview form developed by the researcher were used for data collection. A descriptive analysis technique was used to analyze the data obtained through interviews. While analyzing the data, teacher and student textbooks, which were prepared by the Ministry of National Education for the purpose of teaching in 2015-2016 academic year, were taken as a reference. According to the research findings, it was determined that the teachers had deficiencies in the subject field of "Basic Concepts in the Sets" and had superficial knowledge rather than in depth knowledge.


    Directory of Open Access Journals (Sweden)

    Louise M. Saija


    Full Text Available Salah satu standar yang diberikan oleh National Council of Teachers of Mathematics (NCTM adalah disposisi matematik. Disposisi  bukan sekedar merujuk pada sikap tetapi suatu kecenderungan untuk berpikir dan bersikap dalam cara yang positif. Penelitian ini bertujuan untuk menganalisa disposisi matematik dan hubungannya dengan hasil belajar matematika siswa-siswa sekolah menengah atas (SMA. Sampel pada penelitian ini adalah 149 siswa SMA di Bandung. Analisa statistik didasarkan pada korelasi peringkat Spearman dan uji-t. Ditemukan bahwa secara rata-rata,  disposisi matematik dari siswa-siswa SMA dikategorikan rendah. Selanjutnya, terdapat korelasi positif dan signifikan antara disposisi matematik dan hasil belajar matematika siswa-siswa SMA, walaupun nilai koefisien korelasinya tidak tinggi. Suatu observasi juga dilakukan untuk menganalisa hubungan ini, dan didapati bahwa walaupun beberapa siswa memiliki disposisi matematik yang baik, kadang kala mereka tidak dapat menyelesaikan ujian dengan baik, karena padatnya kurikulum, dan juga aktifitas sosial mereka, yang membuat hasil belajar matematika mereka lebih rendah. Temuan lainnya adalah bahwa siswa-siswa SMA memerlukan guru-guru matematika dengan lebih banyak strategi mengajar  agar mereka dapat memiliki disposisi matematik yang lebih baik.   Kata Kunci: Disposisi Matematik, Hasil Belajar Matematika       One of the evaluation standards given by the National Council of Teachers of Mathematics (NCTM was mathematical disposition. Disposition refers not simply to attitudes but to a tendency to think and to act in positive ways. This study aimed to analyze the mathematical disposition and its correlation with mathematics achievement of senior high school (SMA students. A total of 149 SMA students in Bandung were procured as samples. Statistical analysis was based on the Spearman rank correlation and on the t-test. The findings showed that at average, the mathematical disposition of the SMA

  7. The initial response of secondary mathematics teachers to a one-to-one laptop program (United States)

    Zuber, Edward Nordin; Anderson, Judy


    Studies of one-to-one programs consistently report lower use of laptops in mathematics classrooms compared to other subjects but do not elaborate reasons for these observations. This mixed-method study investigated the experiences and beliefs of 28 mathematics teachers at five secondary schools during the second year of the New South Wales Digital Education Revolution laptop program. While some mathematics teachers planned for students to use their laptops up to once a week, most reported less frequent use in the classroom. Teachers were grouped into categories "Non Adopters," "Cautious Adopters," and "Early Adopters" according to reported classroom use of laptops, then analysed for differences in confidence, knowledge, and beliefs relating to technology for teaching and learning mathematics. A prevalent belief limiting laptop use is that students authentically learn mathematics only using pen and paper. Cautious Adopters and Non Adopters expressed beliefs that laptops exacerbate classroom management problems, especially for lower-achieving students. In the context of ability-streamed classes these beliefs effectively ruled out use of laptops for entire classrooms.

  8. The analysis of mathematics teachers' learning on algebra function limit material based on teaching experience difference (United States)

    Ma'rufi, Budayasa, I. Ketut; Juniati, Dwi


    The aim of this study was to describe the analysis of mathematics teachers' learning on algebra function limit material based on teaching experience difference. The purpose of this study is to describe the analysis of mathematics teacher's learning on limit algebraic functions in terms of the differences of teaching experience. Learning analysis focused on Pedagogical Content Knowledge (PCK) of teachers in mathematics on limit algebraic functions related to the knowledge of pedagogy. PCK of teachers on limit algebraic function is a type of specialized knowledge for teachers on how to teach limit algebraic function that can be understood by students. Subjects are two high school mathematics teacher who has difference of teaching experience they are one Novice Teacher (NP) and one Experienced Teacher (ET). Data are collected through observation of learning in the class, videos of learning, and then analyzed using qualitative analysis. Teacher's knowledge of Pedagogic defined as a knowledge and understanding of teacher about planning and organizing of learning, and application of learning strategy. The research results showed that the Knowledge of Pedagogy on subject NT in mathematics learning on the material of limit function algebra showed that the subject NT tended to describe procedurally, without explaining the reasons why such steps were used, asking questions which tended to be monotonous not be guiding and digging deeper, and less varied in the use of learning strategies while subject ET gave limited guidance and opportunities to the students to find their own answers, exploit the potential of students to answer questions, provide an opportunity for students to interact and work in groups, and subject ET tended to combine conceptual and procedural explanation.

  9. Examination of the Relationship between the Preschool Teachers' Attitudes towards Mathematics and the Mathematical Development in 6-Year-Old Preschool Children (United States)

    Çelik, Meryem


    This study was carried out to determine whether there is a relationship between the preschool teachers' attitudes towards mathematics and mathematical development in 6-year-old preschool children. The sampling of the study was consisted of 30 teachers working with 6 years old children and their 120 students in public kindergartens and independent…

  10. Exploring Iconic Interpretation and Mathematics Teacher Development through Clinical Simulations (United States)

    Dotger, Benjamin; Masingila, Joanna; Bearkland, Mary; Dotger, Sharon


    Field placements serve as the traditional "clinical" experience for prospective mathematics teachers to immerse themselves in the mathematical challenges of students. This article reports data from a different type of learning experience, that of a clinical simulation with a standardized individual. We begin with a brief background on…

  11. Pre-Service Secondary Mathematics Teachers' Reflections on Good and Bad Mathematics Teaching (United States)

    Dayal, Hem Chand


    Researchers suggest that teachers' beliefs about teaching are strongly influenced by their personal experiences with mathematics. This study aimed to explore Pacific Island pre-service secondary mathematics teachers' perceptions about good and bad mathematics teachers. Thirty pre-service teachers, enrolled in a mathematics teaching methods course…

  12. Measuring Student Teachers' Practices and Beliefs about Teaching Mathematics Using the Rasch Model (United States)

    Kaspersen, Eivind; Pepin, Birgit; Sikko, Svein Arne


    Several attempts have been made to measure and categorize beliefs and practices of mathematics teachers [Swan, M. 2006. "Designing and Using Research Instruments to Describe the Beliefs and Practices of Mathematics Teachers." "Research in Education" 75 (1): 58-70]. One of the reasons for measuring both beliefs and practices is…

  13. Becoming a Reflective Mathematics Teacher: A Guide for Observations and Self-Assessment. Studies in Mathematical Thinking and Learning Series. (United States)

    Artzt, Alice F.; Armour-Thomas, Eleanor

    This activity-oriented book for preservice mathematics teachers who are taking methods courses or who have been student teaching offers a framework for teacher reflection and self- assessment. It supplies detailed observation instruments for observing other teachers, reflective activities, and guidelines and instruments for supervisors. There are…

  14. Linking Preservice Teachers' Mathematics Self-Efficacy and Mathematics Teaching Efficacy to Their Mathematical Performance (United States)

    Bates, Alan B.; Latham, Nancy; Kim, Jin-ah


    This study examined preservice teachers' mathematics self-efficacy and mathematics teaching efficacy and compared them to their mathematical performance. Participants included 89 early childhood preservice teachers at a Midwestern university. Instruments included the Mathematics Self-Efficacy Scale (MSES), Mathematics Teaching Efficacy Beliefs…

  15. Helping Students Acquire Thinking Skills through Mathematics Instruction. (United States)

    Van Devender, Evelyn M.


    Describes three activities that the teacher can employ to help students develop thinking skills through mathematics instruction: (1) memorization using the technique of chunking; (2) higher order thinking with magic squares; and (3) predicting games. Identifies eight facets of the teacher's role in promoting thinking skills. (MDH)

  16. The Effects of a Model Developmental Mathematics Program on Elementary and Middle School Preservice Teachers (United States)

    Gerber, Lindsey N.


    Teacher quality is instrumental in improving student performance. Unfortunately, discrepancies between teacher preparation programs and national and state K-12 student standards have contributed to the difficult task of producing quality teachers. The contemporary mathematics education paradigm used at most colleges and universities relies on…

  17. Exploring Kuwaiti mathematics: student-teachers' beliefs toward using Logo and mathematics education


    Sulaiman, NAJ


    The main objective of this study is to explore the effect of one taught course, a Logo module, on Kuwaiti elementary mathematics student-teachers’ beliefs about Information and Communication Technology (ICT) and Logo. The Logo module incorporated ICT, in particular the Logo programming language, as a cognitive tool, that supports the constructivist perspective for mathematics instruction. The Logo module comprised of 24-sessions (deducted from the hours of the Methods of Teaching Mathematics ...

  18. Evaluating the Effects of Lesson Study as a Way to Help Student Teachers Learn How to Use Student Thinking when Planning and Revising Mathematics Lesson Plans (United States)

    Sisofo, Eric Joseph


    The use of student thinking in teaching has been linked to improved instruction and learning. It is reasonable to assume that the University of Delaware's undergraduate program might be interested in figuring out ways to develop this skill in its mathematics specialist pre-service teachers. Currently, the student teaching experience at the…

  19. Views of Elementary School Pre-Service Teachers About the Use of Educational Mathematics Games in Mathematics Teaching

    Directory of Open Access Journals (Sweden)

    Hasan Topçu


    Full Text Available The aim of this study was to reveal the opinions of elementary school pre-service teachers about the usage of educational mathematics games in elementary mathematics teaching. In this study, case study that, one of qualitative research methods, was used. Data were collected by utilizing a semi-structured interview form to these elementary school pre-service teachers and analyzed using by content analysis method. A total of 10 junior pre-service teachers enrolled in undergraduate programs of elementary teaching attended to this research. In conclusion, these pre-service teachers indicated that educational computer games would provide benefits such as making students’ learning more permanent, visualizing concepts, making students love mathematics, learning by entertaining, reinforcing what has been learnt and developing thinking skills. Nevertheless, these elementary school pre-service teachers stated the limitations about educational computer games such as causing addiction and physical damages, being time-consuming, requiring special equipment and software and making class management difficult. Besides, it was revealed that the pre-service teachers demonstrated positive attitudes towards the use of games in courses while that they did not feel themselves competent in terms of application.Key Words:    Educational computer games, mathematics teaching, elementary school pre-service teachers

  20. Examining the Impact of a Video Case-Based Mathematics Methods Course on Secondary Pre-Service Teachers' Skills at Analysing Students' Strategies (United States)

    Martinez, Mara Vanina; Superfine, Alison Castro; Carlton, Theresa; Dasgupta, Chandan


    This paper focuses on results from a study conducted with two cohorts of pre-service teachers (PSTs) in a video case-based mathematics methods course at a large Midwestern university in the US. The motivation for this study was to look beyond whether or not PSTs pay attention to mathematical thinking of students, as shown by previous studies when…

  1. Preservice Agricultural Education Teachers' Mathematics Ability (United States)

    Stripling, Christopher T.; Roberts, T. Grady


    The purpose of this study was to examine the mathematics ability of the nation's preservice agricultural education teachers. Based on the results of this study, preservice teachers were not proficient in solving agricultural mathematics problems, and agricultural teacher education programs require basic and intermediate mathematics as their…

  2. Connecting Mathematics and Literature: An Analysis of Pre-Service Elementary School Teachers' Changing Beliefs and Knowledge (United States)

    Wilburne, Jane M.; Napoli, Mary


    The National Council of Teachers of Mathematics calls for students to see relationships and connections with mathematics (2000). This study examined the influences on eight pre-service elementary school teachers' beliefs and knowledge of teaching mathematics through literature. The semester long project involved both the language arts and…

  3. Snapshots of mathematics teacher noticing during task design (United States)

    Choy, Ban Heng


    Designing a mathematically worthwhile task is critical for promoting students' reasoning. To improve task design skills, teachers often engage in collaborative lesson planning activities such as lesson study. However, to learn from the process of lesson study, it is important for teachers to notice productively the concepts, students' confusion and the design of the task. But what researchers mean by productive noticing varies. In this article, I present the FOCUS Framework which highlights two characteristics of productive noticing: having an explicit focus for noticing and focusing noticing through pedagogical reasoning. Using these two characteristics, I develop snapshots of noticing as a representation of practice to present a fine-grained analysis of teacher noticing. Through vignettes of teachers discussing the design of a task to teach fractions, I illustrate how two teachers' noticing can be analysed and represented using snapshots of noticing. To conclude, I highlight what snapshots of noticing tell us about a teacher's noticing and suggest ways to use these snapshots in future studies of noticing.

  4. The Indonesian teacher: a profile of teacher-student interpersonal behaviour in secondary education classes.

    NARCIS (Netherlands)

    Maulana, R.; Opdenakker, M.C.; Brok, den P.J.; Bosker, R.


    This study was aimed at describing Indonesian teacher interpersonal behavior profiles based on student perceptions and teacher self-perceptions and examining associations between students’ perceptions of teacher interpersonal behavior and their motivation toward Mathematics and English learning. The

  5. The Dominant Factor of Teacher's Role as a Motivator of Students' Interest and Motivation in Mathematics Achievement (United States)

    Tambunan, Hardi


    This study aims to identify the most dominant factor of the teacher's role as a motivator that influences students' interest and motivation to perform in mathematics achievement. It is conducted in eighth grade of senior high school with 209 students, consisted of five state schools and two private schools from seven regencies in North Sumatera.…

  6. Teacher Quality and Student Achievement

    Directory of Open Access Journals (Sweden)

    Linda Darling-Hammond


    Full Text Available Using data from a 50-state survey of policies, state case study analyses, the 1993-94 Schools and Staffing Surveys (SASS, and the National Assessment of Educational Progress (NAEP, this study examines the ways in which teacher qualifications and other school inputs are related to student achievement across states. The findings of both the qualitative and quantitative analyses suggest that policy investments in the quality of teachers may be related to improvements in student performance. Quantitative analyses indicate that measures of teacher preparation and certification are by far the strongest correlates of student achievement in reading and mathematics, both before and after controlling for student poverty and language status. State policy surveys and case study data are used to evaluate policies that influence the overall level of teacher qualifications within and across states. This analysis suggests that policies adopted by states regarding teacher education, licensing, hiring, and professional development may make an important difference in the qualifications and capacities that teachers bring to their work. The implications for state efforts to enhance quality and equity in public education are discussed.

  7. There is More to the Teaching and Learning of Mathematics Than the Use of Local Languages: Mathematics Teacher Practices

    Directory of Open Access Journals (Sweden)

    Nancy Chitera


    Full Text Available In this article, we present a discussion about the type of mathematical discourse that is being produced in classrooms where the language of learning and teaching is local languages.  We also further explore the tensions in the mathematical discourse being produced. The study sample was 4 mathematics teachers from a semi-urban primary school in Malawi. The methods of data collection included classroom observations, pre-observation focus group discussions and reflective interviews. The results show that even though both students and teachers were able to communicate freely in local languages in the mathematics classroom, the mathematical discourse that came was distorted. This is mainly caused by lack of a well-developed mathematical discourse in local languages, which in turn takes away the confidence of mathematics teachers in the classroom. As a result, the mathematics classrooms are still being characterized by teachers not being creative, use of word by word from books, focus more on procedural than conceptual and thus teacher centered is still dominant in these classrooms. Furthermore, it is found that there are tensions between the formal and informal mathematical language in local languages. These results in turn have promoted a more in-depth understanding to the teaching and learning of mathematics when local language is the language of learning and teaching. Therefore, this article argues for a well-balanced approach when it comes to teaching and learning of mathematics rather than just focusing on the use of local languages.

  8. Elementary Pre-Service Teachers' Mathematics Anxiety and Mathematics Teaching Anxiety (United States)

    Haciomeroglu, Guney


    The present study examined the structure of elementary pre-service teachers' mathematics anxiety and mathematics teaching anxiety by asking whether the two systems of anxiety are related. The Turkish Mathematics Anxiety Rating Scale Short Version and the Mathematics Teaching Anxiety Scale were administered to 260 elementary pre-service teachers.…

  9. Mathematics Courses for the Prospective Teacher. (United States)

    Kistler, Barbara C.

    This paper suggests that faculty at two-year institutions need to become partners with colleges of education and K-12 teachers of mathematics in preparing future mathematics teachers. The paper presents the following: a summary of recommendations on programs for prospective teachers; a summary of recommendations about mathematics courses for…

  10. The Teachers Academy for Mathematics and Science

    Energy Technology Data Exchange (ETDEWEB)


    In his State of the Union address on January 31, 1990, President Bush set a goal for US students to be number one in the world in mathematics and science achievement by the year 2000. The Teachers Academy for Mathematics and Science in Chicago is an experiment of unprecedented boldness and scale that can provide a means to the President's goal, both for the Chicago area and as a national model. This document covers organization and governance, program activities, future training goals, and evaluation programs.

  11. Pre-Service Teachers' Conceptions of Effective Teacher Talk: Their Critical Reflections on a Sample Teacher-Student Dialogue (United States)

    Lee, Ji-Eun; Kim, Kyoung-Tae


    This study aimed to explore pre-service elementary teachers' (PSTs') conceptions of effective teacher talk in mathematics instruction, which were interpreted primarily based on the concept of communicative approach. This was accomplished through a task that involves analyzing and evaluating a sample teacher-student dialogue. This study…

  12. Write Is Right: Using Graphic Organizers to Improve Student Mathematical Problem Solving (United States)

    Zollman, Alan


    Teachers have used graphic organizers successfully in teaching the writing process. This paper describes graphic organizers and their potential mathematics benefits for both students and teachers, elucidates a specific graphic organizer adaptation for mathematical problem solving, and discusses results using the "four-corners-and-a-diamond"…

  13. Emotion, Identity and Teacher Learning: Becoming a Primary Mathematics Teacher (United States)

    Hodgen, Jeremy; Askew, Mike


    Teacher change in mathematics education is recognised to be a difficult and at times painful process. This is particularly so in countries such as England where primary mathematics is taught by non-specialist teachers, who have often had negative experiences of their own school mathematics. In this paper we explore primary teachers' emotional…

  14. A model of professional competences in mathematics to update mathematical and didactic knowledge of teachers (United States)

    Díaz, Verónica; Poblete, Alvaro


    This paper describes part of a research and development project carried out in public elementary schools. Its objective was to update the mathematical and didactic knowledge of teachers in two consecutive levels in urban and rural public schools of Region de Los Lagos and Region de Los Rios of southern Chile. To that effect, and by means of an advanced training project based on a professional competences model, didactic interventions based on types of problems and types of mathematical competences with analysis of contents and learning assessment were designed. The teachers' competence regarding the didactic strategy used and its results, as well as the students' learning achievements are specified. The project made possible to validate a strategy of lifelong improvement in mathematics, based on the professional competences of teachers and their didactic transposition in the classroom, as an alternative to consolidate learning in areas considered vulnerable in two regions of the country.

  15. Strengthening Mathematics And Science Education (SMASE) For Improving The Quality Of Teachers in Nigeria (United States)

    Shuaibu, Zainab Muhammad


    The education system in Nigeria, especially at the basic education level, teachers who teach mathematics and science need to be confident with what they are teaching, they need to have appropriate techniques and strategies of motivating the pupils. If these subjects are not taught well at the basic education level its extraordinarily hard to get them (pupils/students) back to track, no matter what will be done in the secondary and tertiary level. Teachers as the driving force behind improvements in the education system are in the best position to understand and propose solutions to problems faced by students. Teachers must have access to sustainable, high quality professional development in order to improve teaching and student learning. Teachers' professional development in Nigeria, however, has long been criticized for its lack of sustainability and ability to produce effective change in teaching and students achievement. Education theorists today believe that a critical component of educational reform lies in providing teachers with various opportunities and supports structures that encourage ongoing improvement in teachers' pedagogy and discipline-specific content knowledge. However, the ongoing reforms in education sector and the need to refocus the Nigeria education system towards the goal of the National Economical Empowerment and Development Strategies (NEEDS) demand that the existing In-service and Education Training (INSET) in Nigeria be refocused. It is against this premise that an INSET programme aimed at Strengthening Mathematics And Science Education (SMASE) for primary and secondary school teachers was conceived. The relevance of the SMASE INSET according to the Project Design Matrix (PDM) was derived from an In-service aimed at enhancing the quality of teachers in terms of positive attitude, teaching methodology, mastery of content, resource mobilization and utilization of locally available teaching and learning materials. The intervention of

  16. Preservice Teachers' Beliefs and Attitude about Teaching and Learning Mathematics through Music: An Intervention Study (United States)

    An, Song A.; Ma, Tingting; Capraro, Mary Margaret


    This article presents exploratory research investigating the integration of music and a mathematics lesson as an intervention to promote preservice teachers' attitude and confidence and to extend their beliefs toward teaching mathematics integrated with music. Thirty students were randomly selected from 64 preservice teachers in a southern…

  17. The mathematics textbook at tertiary level as curriculum material - exploring the teacher's decision-making process (United States)

    Randahl, Mira


    This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative concept. Data were collected during observations of lectures and an interview, and informal talks with the teacher. The introduction and the treatment of the derivative as proposed by the teacher during the lectures were analysed in relation to the results of the content text analysis of the textbook. The teacher's decisions were explored through the lens of intended learning goals for engineering students taking the mathematics course. The results showed that the sequence of concepts and the formal introduction of the derivative as proposed by the textbook were closely followed during the lectures. The examples and tasks offered to the students focused strongly on procedural knowledge. Although the textbook proposes both examples and exercises that promote conceptual knowledge, these opportunities were not fully utilized during the observed lectures. Possible reasons for the teacher's choices and decisions are discussed.

  18. Students\\' Academic Achievement in Mathematics as Correlate of ...

    African Journals Online (AJOL)

    The main purpose of this study was to assess the relationship between students' achievement in mathematics and teacher factors. The study was conducted in the in Lesotho, Southern Africa. Stratified random sampling based on school ownership was used to draw a sample of 40 teachers from the population of Grade 10 ...

  19. Teachers' use of classroom assessment in primary school mathematics education in the Netherlands

    NARCIS (Netherlands)

    Veldhuis, M.; van den Heuvel-Panhuizen, M.; Vermeulen, Jorine; Eggen, Theodorus Johannes Hendrikus Maria


    This paper reports on a survey of the classroom assessment practices of Dutch primary school teachers in mathematics education. We investigated, using an online questionnaire, how teachers collect information on their studentś progress and how teacherś assessment methods, purposes, and beliefs about

  20. The Relationships among Mathematics Teaching Efficacy, Mathematics Self-Efficacy, and Mathematical Beliefs for Elementary Pre-Service Teachers (United States)

    Briley, Jason S.


    Ninety-five elementary pre-service teachers enrolled in a mathematics content course for elementary school teachers completed 3 surveys to measure mathematics teaching efficacy, mathematics self-efficacy, and mathematical beliefs. The pre-service teachers who reported stronger beliefs in their capabilities to teach mathematics effectively were…

  1. Teachers' Beliefs about Improving Transfer of Algebraic Skills from Mathematics into Physics in Senior Pre-University Education (United States)

    Tursucu, Süleyman; Spandaw, Jeroen; Flipse, Steven; de Vries, Marc J.


    Students in senior pre-university education encounter difficulties in the application of mathematics into physics. This paper presents the outcome of an explorative qualitative study of teachers' beliefs about improving the transfer of algebraic skills from mathematics into physics. We interviewed 10 mathematics and 10 physics teachers using a…

  2. Mixed Methods Study Using Constructive Learning Team Model for Secondary Mathematics Teachers (United States)

    Ritter, Kristy L.


    The constructive learning team model for secondary mathematics teachers (CLTM) was created to provide students with learning opportunities and experiences that address deficiencies in oral and written communication, logical processes and analysis, mathematical operations, independent learning, teamwork, and technology utilization. This study…

  3. Attitudes of Mathematics Teachers toward Using Smart Board in Teaching Mathematics (United States)

    Muhanna, Wafa; Nejem, Khamis Mousa


    This study aimed at investigating the attitudes of mathematics teachers toward using a smart board in teaching mathematics and also to determine the effect of gender, experience, and qualification of teachers on their attitudes. The sample of this study consisted of 74 mathematics teachers--35 males and 39 females--from private schools in Amman…

  4. Persistence and withdrawal by students in a preservice science and mathematics teacher education course (United States)

    Tulip, David F.; Lucas, Keith B.


    At a time when recruitment into preservice teacher education courses in mathematics and science is difficult, one strategy to increase the number of graduates is to minimise the number of students who fail to complete their university courses. This study sought to determine factors which distinguish withdrawers from persisters in the first semester of a B.Ed course. Discriminant analysis was employed; a discriminant function employing seven factors resulted in correct classification in 81% of cases. Further analysis distinguishing between dropouts and transferees resulted in two discriminant functions with some common variables.

  5. A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools (United States)

    Kaur, Berinderjeet; Tay, Eng Guan; Toh, Tin Lam; Leong, Yew Hoong; Lee, Ngan Hoe


    A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools is a programmatic research project at the National Institute of Education (NIE) funded by the Ministry of Education (MOE) in Singapore through the Office of Education Research (OER) at NIE. The main goal of the project is to collect a set of data that would be used by two studies to research the enacted secondary school mathematics curriculum. The project aims to examine how competent experienced secondary school teachers implement the designated curriculum prescribed by the MOE in the 2013 revision of curriculum. It does this firstly by examining the video recordings of the classroom instruction and interactions between secondary school mathematics teachers and their students, as it is these interactions that fundamentally determine the nature of the actual mathematics learning and teaching that take place in the classroom. It also examines content through the instructional materials used—their preparation, use in classroom and as homework. The project comprises a video segment and a survey segment. Approximately 630 secondary mathematics teachers and 600 students are participating in the project. The data collection for the video segment of the project is guided by the renowned complementary accounts methodology while the survey segment adopts a self-report questionnaire approach. The findings of the project will serve several purposes. They will provide timely feedback to mathematics specialists in the MOE, inform pre-service and professional development programmes for mathematics teachers at the NIE and contribute towards articulation of "Mathematics pedagogy in Singapore secondary schools" that is evidence based.

  6. Mathematical Knowledge for Teaching, Standards-Based Mathematics Teaching Practices, and Student Achievement in the Context of the "Responsive Classroom Approach" (United States)

    Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Larsen, Ross A.; Berry, Robert Q.


    This study investigates the effectiveness of the Responsive Classroom (RC) approach, a social and emotional learning intervention, on changing the relations between mathematics teacher and classroom inputs (mathematical knowledge for teaching [MKT] and standards-based mathematics teaching practices) and student mathematics achievement. Work was…

  7. Prospective Secondary Mathematics Teachers' Perspectives and Mathematical Knowledge for Teaching (United States)

    Karagöz-Akar, Gülseren


    This study investigated the relationship between prospective secondary mathematics teachers' perspectives and their mathematical knowledge for teaching in action. Data from two prospective teachers' practice-teachings, one in geometry and one in algebra, their lesson plans and self-reflections were analyzed with Teacher Perspectives and Knowledge…

  8. Mathematics Teachers' Support and Retention: Using Maslow's Hierarchy to Understand Teachers' Needs (United States)

    Fisher, Molly H.; Royster, David


    As part of a larger study, four mathematics teachers from diverse backgrounds and teaching situations report their ideas on teacher stress, mathematics teacher retention, and their feelings about the needs of mathematics teachers, as well as other information crucial to retaining quality teachers. The responses from the participants were used to…

  9. students' perception of teacher's knowledge of subject matter

    African Journals Online (AJOL)


    COPYRIGHT© BACHUDO SCIENCE CO. ... students' perception of teachers' knowledge of subject matter as perceived by students on reading ... percent and above in English language (WAEC,. 2007). ... to the learners. ... mathematics.

  10. Film as teacher education genre: Developing student agency in the production of #Taximaths – How children make their world mathematical

    Directory of Open Access Journals (Sweden)

    Lara Ragpot


    Full Text Available The article reports on the process of producing a film for students in a university course. The purpose of the production was to make local film material that could assist students in their learning of developmental cognitive psychology theory in general, but specifically also the mathematical cognition of children. Although the students in the production team set out as actors and technical helpers, they gradually appropriated their acting roles and the plot of the story to the extent that they learned the theory that the film was portraying. Not only did they show interest in the psychology texts and the story, but they also developed agency – they became the owners of the film. The argument of this paper is that a multimodal foundation in teacher education can give students multiple semiotic entry points, but also, if given the opportunity to make a dramatic film, they can learn the content of mathematical cognition while learning film production. The article argues that contemporary teacher education programmes are by their very nature briefed to be multimodal, because teachers’ work in schools in the 21st century requires more than language text and oral, in-person communication.

  11. Reading and Reflecting: Elementary Preservice Teachers' Conceptions about Teaching Mathematics for Equity (United States)

    Jackson, Christa; Jong, Cindy


    Teaching mathematics for equity is critical because it provides opportunities for all students, especially those who have been traditionally marginalised, to learn mathematics that is rigorous and relevant to their lives. This article reports on our work, as mathematics teacher educators, on exposing and engaging 60 elementary preservice teachers…

  12. Putting Teachers First: Leading Change through Design--Initiating and Sustaining Effective Teaching of Mathematics (United States)

    Proffitt-White, Rob


    The Teachers First initiative is a grass-roots cluster-model approach for bringing together primary and secondary teachers and school principals: to analyse student performance data; design and practice activities and assessment tools; and promote teaching practices that address students' learning difficulties in mathematics. The balance of both…

  13. The pragmatics of mathematics education vagueness and mathematical discourse

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    Rowland, Tim


    Drawing on philosophy of language and recent linguistic theory, Rowland surveys several approaches to classroom communication in mathematics. Are students intimidated by the nature of mathematics teaching? Many students appear fearful of voicing their understanding - is fear of error part of the linguistics of mathematics? The approaches explored here provide a rationale and a method for exploring and understanding speakers'' motives in classroom mathematics talk. Teacher-student interactions in mathematics are analysed, and this provides a toolkit that teachers can use to respond to the intellectual vulnerability of their students.

  14. The effects of experience and attrition for novice high-school science and mathematics teachers. (United States)

    Henry, Gary T; Fortner, C Kevin; Bastian, Kevin C


    Because of the current high proportion of novice high-school teachers, many students' mastery of science and mathematics depends on the effectiveness of early-career teachers. In this study, which used value-added models to analyze high-school teachers' effectiveness in raising test scores on 1.05 million end-of-course exams, we found that the effectiveness of high-school science and mathematics teachers increased substantially with experience but exhibited diminishing rates of return by their fourth year; that teachers of algebra 1, algebra 2, biology, and physical science who continued to teach for at least 5 years were more effective as novice teachers than those who left the profession earlier; and that novice teachers of physics, chemistry, physical science, geometry, and biology exhibited steeper growth in effectiveness than did novice non-science, technology, engineering, and mathematics teachers.

  15. Investigating Upper Secondary School Teachers' Conceptions: Is Mathematical Reasoning Considered Gendered? (United States)

    Sumpter, Lovisa


    This study examines Swedish upper secondary school teachers' gendered conceptions about students' mathematical reasoning: whether reasoning was considered gendered and, if so, which type of reasoning was attributed to girls and boys. The sample consisted of 62 teachers from six different schools from four different locations in Sweden. The results…

  16. Students Use Graphic Organizers to Improve Mathematical Problem-Solving Communications (United States)

    Zollman, Alan


    Improving students' problem-solving abilities is a major, if not the major, goal of middle grades mathematics. To address this goal, the author, who is a university mathematics educator, and nine inner-city middle school teachers developed a math/science action research project. This article describes their unique approach to mathematical problem…

  17. The Implementation of an Interdisciplinary Co-planning Team Model Among Mathematics and Science Teachers (United States)

    Brown, Michelle Cetner

    In recent years, Science, Technology, Engineering, and Mathematics (STEM) education has become a significant focus of numerous theoretical and commentary articles as researchers have advocated for active and conceptually integrated learning in classrooms. Drawing connections between previously isolated subjects, especially mathematics and science, has been shown to increase student engagement, performance, and critical thinking skills. However, obstacles exist to the widespread implementation of integrated curricula in schools, such as teacher knowledge and school structure and culture. The Interdisciplinary Co-planning Team (ICT) model, in which teachers of different subjects come together regularly to discuss connections between content and to plan larger interdisciplinary activities and smaller examples and discussion points, offers a method for teachers to create sustainable interdisciplinary experiences for students within the bounds of the current school structure. The ICT model is designed to be an iterative, flexible model, providing teachers with both a regular time to come together as "experts" and "teach" each other important concepts from their separate disciplines, and then to bring their shared knowledge and language back to their own classrooms to implement with their students in ways that fit their individual classes. In this multiple-case study, which aims to describe the nature of the co-planning process, the nature of plans, and changes in teacher beliefs as a result of co-planning, three pairs of secondary mathematics and science teachers participated in a 10-week intervention with the ICT model. Each pair constituted one case. Data included observations, interviews, and artifact collection. All interviews, whole-group sessions, and co-planning sessions were transcribed and coded using both theory-based and data-based codes. Finally, a cross-case comparison was used to present similarities and differences across cases. Findings suggest that the

  18. Experiencing Research Practice in Pure Mathematics in a Teacher Training Context (United States)

    Knoll, Eva; Ernest, Paul; Morgan, Simon


    This paper presents the early results of an experiment involving a class of elementary student teachers within the context of their mathematics preparation. The motivation of the exercise centered on giving them an experience with mathematical research at their own level and ascertaining its impact on their attitudes and beliefs. The students…

  19. Master mathematics teachers as mentors for underperforming and disadvantaged schools

    Directory of Open Access Journals (Sweden)

    Annemarie Hattingh


    Full Text Available The work of teachers has a significant role both with regard to learners’ achievement and their opportunities in life. In the context of a developing country, particularly with respect to township and rural schools, it is a common occurrence that many practising teachers are un- or under qualified for the teaching of mathematics. What kind of professional development would be effective for upgrading the content knowledge and professional competence of such teachers? It is the aim of this article to give an overview of a professional development approach, called mentorship by master mathematics teachers, which had a positive effect both on teacher learning and their learners’ performance. Where mentorship usually focuses on the induction of beginning or student teachers, the Teacher Mentorship Programme (TMP in this case, had as its target experienced teachers who had been teaching mathematics for years in township schools, but without the appropriate qualifications. The mentee teachers had never previously, due to no fault of their own, been exposed to excellent teaching practices as learners, student or practising teachers. The TMP was an initiative of a university’s Faculty of Engineering, that collaborated with private engineering companies and the Department of Education with the aim of preparing more and better equipped Grade 12 leavers who enrol for studies in engineering and technology related fields. The intended outcomes of the TMP were: To improve teachers’ content knowledge, pedagogical competence and attitude towards mathematics and science. To broaden teachers’ knowledge of careers related to the mathematics, science and technology fields. To improve learners’ attitudes towards mathematics, science and related careers. To increase the number of learners who enrol for mathematics on the higher grade which is the equivalent of “core” mathematics in the new National Curriculum Statement.Why a mentorship programme

  20. Exploring the mathematical confidence of Indigenous preservice teachers in a remote teacher education program (United States)

    Thornton, Steve; Giles, Wendy; Prescott, Debbie; Rhodes, David


    This paper reports on the efficacy of an accelerated teacher education program ( Growing Our Own) focused in remote Indigenous communities in the Northern Territory. The program is a joint initiative of Charles Darwin University and the Northern Territory Catholic Education Office, providing an intensive two-year program designed to educate Indigenous Teacher Assistants to full teacher status. We describe the growth in knowledge and confidence that has occurred through the program using the story of one of the students in the project, Philomena, as an evocative representation of the experiences of the participants in the program. This growth is particularly evident in one lesson that Philomena taught towards the end of the program in which she was able to challenge her previously accepted role as subservient to the non-Indigenous teacher. Our discussion highlights some key issues for improving outcomes for Indigenous children, including the potential mismatch between Western and Aboriginal ways of thinking in mathematics and developing the mathematical capacity of Indigenous teacher assistants in remote settings. We suggest that the mutual respect of the participants at various levels of Growing Our Own, the situated and purposeful nature of the learning, and the capacity of students to engage in that learning without abandoning their community responsibilities have been pivotal in enhancing educational outcomes in remote communities and in providing opportunities for Indigenous people.

  1. Mathematics Education ITE Students Examining the Value of Digital Learning Objects (United States)

    Hawera Ngarewa; Wright, Noeline; Sharma, Sashi


    One issue in mathematics initial teacher education (ITE) is how to best support students to use digital technologies (DTs) to enhance their teaching of mathematics. While most ITE students are probably using DTs on a daily basis for personal use, they are often unfamiliar with using them for educative purposes in New Zealand primary school…

  2. Primary School Pre-Service Mathematics Teachers' Views on Mathematical Modeling (United States)

    Karali, Diren; Durmus, Soner


    The current study aimed to identify the views of pre-service teachers, who attended a primary school mathematics teaching department but did not take mathematical modeling courses. The mathematical modeling activity used by the pre-service teachers was developed with regards to the modeling activities utilized by Lesh and Doerr (2003) in their…

  3. Professional Development for Secondary School Mathematics Teachers: A Peer Mentoring Model (United States)

    Kensington-Miller, Barbara


    Professional development is important for all teachers, and in low socio-economic schools where the challenges of teaching are greater this need is crucial. A model involving a combination of one-on-one peer mentoring integrated with group peer mentoring was piloted with experienced mathematics teachers of senior students in low socio-economic…

  4. Kindergarten Teachers' Perceptions of Barriers English Language Learners Face in Mathematics (United States)

    Franklin, Martha A.


    There is a disparity of mathematics achievement between native English speakers and English language learners (ELL). This study sought to understand the barriers ELL kindergarten students faced in being successful in mathematics. The purpose of this qualitative, instrumental case study was to explore kindergarten teachers' perceptions…

  5. Implications of Informal Education Experiences for Mathematics Teachers' Ability to Make Connections beyond Formal Classroom (United States)

    Popovic, Gorjana; Lederman, Judith S.


    The Common Core Standard for Mathematical Practice 4: Model with Mathematics specifies that mathematically proficient students are able to make connections between school mathematics and its applications to solving real-world problems. Hence, mathematics teachers are expected to incorporate connections between mathematical concepts they teach and…

  6. Using the Fennema-Sherman Mathematics Attitude Scales with lower-primary teachers (United States)

    Ren, Lixin; Green, Jennifer L.; Smith, Wendy M.


    The Fennema-Sherman Mathematics Attitude Scales (FSMAS) are among the most popular instruments used in studies of attitudes toward mathematics. However, the FSMAS has been mainly used among student populations and rarely used with teachers. In the present study, three scales from the FSMAS— Confidence, Effectance Motivation, and Anxiety—were revised and used with lower-primary (kindergarten to third grade) teachers. This study includes three parts: (1) a pilot study to ensure the modifications made to the FSMAS were appropriate to use with teachers, (2) confirmatory factor analyses to assess the factor structure of the revised FSMAS with 225 lower-primary teachers, and (3) measurement invariance analyses using data from a similar sample of 171 lower-primary teachers to examine whether the revised FSMAS measures each construct in the same way as in the previous sample. The final three-factor model, after removing three problematic items, achieves acceptable model fit, with each construct meeting all conditions for strict measurement invariance. Additionally, repeated measures analyses were performed on data collected from 39 in-service lower-primary teachers who participated in an elementary mathematics specialist program to examine the use of the revised FSMAS in program evaluation. Overall results suggest that researchers and program evaluators may use the revised FSMAS to reliably measure lower-primary teachers' mathematical attitudes, and it can be a valuable tool for evaluating the effectiveness of professional development programs.

  7. Indicators that influence prospective mathematics teachers representational and reasoning abilities (United States)

    Darta; Saputra, J.


    Representational and mathematical reasoning ability are very important ability as basic in mathematics learning process. The 2013 curriculum suggests that the use of a scientific approach emphasizes higher order thinking skills. Therefore, a scientific approach is required in mathematics learning to improve ability of representation and mathematical reasoning. The objectives of this research are: (1) to analyze representational and reasoning abilities, (2) to analyze indicators affecting the ability of representation and mathematical reasoning, (3) to analyze scientific approaches that can improve the ability of representation and mathematical reasoning. The subject of this research is the students of mathematics prospective teachers in the first semester at Private Higher Education of Bandung City. The research method of this research was descriptive analysis. The research data were collected using reasoning and representation tests on sixty-one students. Data processing was done by descriptive analysis specified based on the indicators of representation ability and mathematical reasoning that influenced it. The results of this first-year study showed that students still had many weaknesses in reasoning and mathematical representation that were influenced by the ability to understand the indicators of both capabilities. After observing the results of the first-year research, then in the second and third year, the development of teaching materials with a scientific approach in accordance with the needs of prospective students was planned.

  8. Improving of prospective elementary teachers' reasoning: Learning geometry through mathematical investigation (United States)

    Sumarna, Nana; Sentryo, Izlan


    This research applies mathematical investigation approach in teaching geometry to improve mathematical reasoning abilities of prospective elementary teachers. Mathematical investigation in this study involved non-routine tasks through a mathematical investigation process, namely through a series of activities as an attribute of mathematical investigation. Developing the ability of mathematical reasoning of research subjects obtained through capability of research subjects in the analysis, generalization, synthesis, justify, and resolve non-routine, which is operationally constructed as an indicator of research and is used as a criterion for measuring the ability of mathematical reasoning. Research design using Quasi-Experimental design. Based on this type, the researchers apply a pre-and posttest design, which is divided into two study groups: control group and the treatment group. The number of research subjects were 111 students consisting of 56 students in the experimental group and 55 students in the control group. The conclusion of this study stated that (1) Investigation of mathematics as an approach to learning is able to give a positive response to the increasing ability of mathematical reasoning, and (2) There is no interaction effect of the factors of learning and prior knowledge of mathematics to the increased ability of mathematical reasoning.

  9. Mathematical disposition of junior high school students viewed from learning styles (United States)

    Putra, Arief Karunia; Budiyono, Slamet, Isnandar


    The relevance of this study is the growth of character values for students in Indonesia. Mathematics is a subject that builds the character values for students. It can be seen from the students' confidence in answering mathematics problems, their persistent and resilience in mathematics task. In addition, students have a curiosity in mathematics and appreciate the usefulness of mathematics. In mathematics, it is called a mathematical disposition. One of the factors that can affect students' mathematical disposition is learning style. Each student has a dominant learning style. Three of the most popular ones are visual, auditory, and kinesthetic. The most important uses of learning styles is that it makes it easy for teachers to incorporate them into their teaching. The purpose of this study was to determine which one that gives better mathematical dispositions among students with learning styles of visual, auditory, or kinesthetic. The subjects were 150 students in Sleman regency. Data obtained through questionnaires. Based on data analysis that has been done with benchmark assessment method, it can be concluded that students with visual learning style has a mathematical disposition better than students with auditory and kinesthetic learning styles, while students with kinesthetic learning style has a mathematical disposition better than students with auditory learning style. These results can be used as a reference for students with individual learning styles to improve the mathematical positive disposition in the learning process of mathematics.

  10. Teaching Place Value Concepts to First Grade Romanian Students: Teacher Knowledge and its Influence on Student Learning (United States)

    Tanase, Madalina


    Researchers (Ball, 2003; Ma, 1999; Schulman, 1986) have long investigated how a teacher's subject matter and pedagogical content knowledge impact on students' learning of mathematics. In an attempt to account for the relationship between teacher knowledge and student learning, this study examined four Romanian first grade teachers' knowledge about…

  11. Hong Kong and U.S. Teachers' Perceptions of Mathematical Disagreements and Their Resolution Processes (United States)

    Barlow, Angela T.; Huang, Rongjin; Law, Huk-Yuen; Chan, Yip Cheung; Zhang, Qiaoping; Baxter, Wesley A.; Gaddy, Angeline K.


    Mathematical disagreements occur when students challenge each other's ideas related to a mathematical concept. In this research, we examined Hong Kong and U.S. elementary teachers' perceptions of mathematical disagreements and their resolutions using a video-stimulated survey. Participants were directed to give particular attention to the…

  12. Contextual Perspectives of School Mathematics: What Determines Mathematical Understanding? (United States)

    White, Loren; Frid, Sandra

    Results of a study into secondary school students' and teachers' conceptions of what mathematics is and the purposes of school mathematics are outlined. A total of about 220 first year engineering students and 600 high school students in Australia were involved in the surveys while 40 students, 19 teachers, 2 career counselors, and 2…

  13. Secondary School Mathematics Teachers' Knowledge Levels and Use of History of Mathematics (United States)

    Bütüner, Suphi Önder


    This study describes secondary school mathematics teachers' use of history of mathematics in their classes and their knowledge levels in this field. The study population included a total of 58 secondary school mathematics teachers working at the secondary schools located in Yozgat city center, and the sample included 32 mathematics teachers from…

  14. Relationship between mathematical abstraction in learning parallel coordinates concept and performance in learning analytic geometry of pre-service mathematics teachers: an investigation (United States)

    Nurhasanah, F.; Kusumah, Y. S.; Sabandar, J.; Suryadi, D.


    As one of the non-conventional mathematics concepts, Parallel Coordinates is potential to be learned by pre-service mathematics teachers in order to give them experiences in constructing richer schemes and doing abstraction process. Unfortunately, the study related to this issue is still limited. This study wants to answer a research question “to what extent the abstraction process of pre-service mathematics teachers in learning concept of Parallel Coordinates could indicate their performance in learning Analytic Geometry”. This is a case study that part of a larger study in examining mathematical abstraction of pre-service mathematics teachers in learning non-conventional mathematics concept. Descriptive statistics method is used in this study to analyze the scores from three different tests: Cartesian Coordinate, Parallel Coordinates, and Analytic Geometry. The participants in this study consist of 45 pre-service mathematics teachers. The result shows that there is a linear association between the score on Cartesian Coordinate and Parallel Coordinates. There also found that the higher levels of the abstraction process in learning Parallel Coordinates are linearly associated with higher student achievement in Analytic Geometry. The result of this study shows that the concept of Parallel Coordinates has a significant role for pre-service mathematics teachers in learning Analytic Geometry.

  15. Mathematics Teachers' Use of Ethnomathematics Approach in Mathematics Teaching in Edo State (United States)

    Aikpitanyi, Lucky Aiwuyor; Eraikhuemen, Lucy


    The study investigated mathematics teachers' use of ethnomathematics approach to teaching. Descriptive survey research was used with a target population of all mathematics teacher in all public secondary schools in Oredo, Egor and Ikpoba-Okha local government areas of Edo State out of which 121 mathematics teachers in 42 randomly selected public…

  16. A model of theory-practice relations in mathematics teacher education

    DEFF Research Database (Denmark)

    Østergaard, Kaj


    The paper presents and discusses an ATD based (Chevallard, 2012) model of theory-practice relations in mathematics teacher education. The notions of didactic transposition and praxeology are combined and concretized in order to form a comprehensive model for analysing the theory......-practice problematique. It is illustrated how the model can be used both as a descriptive tool to analyse interactions between and interviews with student teachers and teachers and as a normative tool to design and redesign learning environments in teacher education in this case a lesson study context....

  17. Mathematics teachers' support and retention: using Maslow's hierarchy to understand teachers' needs (United States)

    Fisher, Molly H.; Royster, David


    As part of a larger study, four mathematics teachers from diverse backgrounds and teaching situations report their ideas on teacher stress, mathematics teacher retention, and their feelings about the needs of mathematics teachers, as well as other information crucial to retaining quality teachers. The responses from the participants were used to develop a hierarchy of teachers' needs that resembles Maslow's hierarchy, which can be used to better support teachers in various stages of their careers. The interviews revealed both non content-specific and content-specific needs within the hierarchy. The responses show that teachers found different schools foster different stress levels and that as teachers they used a number of resources for reducing stress. Other mathematics-specific ideas are also discussed such as the amount of content and pedagogy courses required for certification.

  18. The Mathematics Textbook at Tertiary Level as Curriculum Material--Exploring the Teacher's Decision-Making Process (United States)

    Randahl, Mira


    This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative…

  19. Pre-service mathematics teachers' attitudes towards learning English: A case study in Yogyakarta (United States)

    Setyaningrum, Wahyu


    This study investigated attitudes of pre-service mathematics teachers towards English as one of the subject at the university. It is a qualitative study in which questionnaire and face-to-face interview were employed to collect the data. The participants of this study were sixty students of mathematics education department at one of the university in Yogyakarta. The main research question was concern with how pre-service mathematics teachers perceive the importance of learning English. This study found that most of the participants perceive English as an important language that should be acquired by mathematics teachers. Their beliefs about the importance of English were mostly due to instrumental orientation rather than integrative orientation, such as getting a good job, getting a scholarship and understanding learning sources that are written in English. The data also revealed some obstacles faced by pre-service mathematics teachers in learning English as an additional language for them. The main obstacles were related to the differences between English for mathematics and English in daily life including its vocabulary and structure. Most of the participants argued that several mathematics vocabularies had precise meaning and different from daily English. In addition, they found difficult to understand some sentences used in the paper journal due to its structure. This study therefore, provided an insight into the pre-service mathematics teachers' perception and obstacles when learning English that could be use in improving pre-service teachers' education.

  20. Manipulatives Implementation For Supporting Learning Of Mathematics For Prospective Teachers (United States)

    Sulistyaningsih, D.; Mawarsari, V. D.; Hidayah, I.; Dwijanto


    Manipulatives are needed by teachers to facilitate students understand of mathematics which is abstract. As a prospective mathematics teacher, the student must have good skills in making manipulatives. Aims of this study is to describe the implementation of learning courses of manipulative workshop in mathematics education courses by lecturer at Universitas Muhammadiyah Semarang which includes the preparation of learning, general professional ability, the professional capacity specifically, ability of self-development, development class managing, planning and implementation of learning, a way of delivering the material, and evaluation of learning outcomes. Data collection techniques used were questionnaires, interviews, and observation. The research instrument consisted of a questionnaire sheet, sheet observation and interview guides. Validity is determined using data triangulation and triangulation methods. Data were analyzed using an interactive model. The results showed that the average value of activities in preparation for learning, fosters capabilities of general professional, specialized professional, self-development, manage the classroom, implementing the learning, how to deliver the material, and how to evaluate learning outcomes are 79%, 73%, 67%, 75%, 83%, 72%, 64%, and 54%, respectively

  1. Self-Contained versus Departmentalized Settings in Urban Elementary Schools: An Analysis of Fifth-Grade Student Mathematics Performance (United States)

    Jack, Diamond Marie


    Student achievement in mathematics, particularly in urban areas, is a consistent concern in the United States. Research suggests that teachers either are under qualified or have a negative perception of themselves as mathematics teachers. Departmentalization on the elementary level is an organizational structure that may benefit urban students and…

  2. Mathematical knowledge for teaching: Making the tacit more explicit in mathematics teacher education (United States)

    Abdullah, Mohd Faizal Nizam Lee; Vimalanandan, Lena


    Teaching practice during school based experiences, afford an opportunity for pre service teachers to put into practice their knowledge for teaching mathematics. Like all knowledge, Mathematical Knowledge for Teaching (MKT) is held in both tacit and explicit form, making it especially difficult to study and map during instruction. This study investigates the tacit and explicit nature of MKT held by pre service teachers in a Malaysian Teacher Education Program and how it impacts the Mathematical Quality of their instruction (MQI). This study of three mathematics pre-service teachers (PSTs), utilised videos of mathematics lessons, reflective debriefs and interviews. The findings suggest that factors such as reflecting, peer-sharing, conferencing with mentors and observing support in making tacit knowledge more explicit during planning and instruction. Implications for preparation of mathematics teachers capable of high Mathematical Quality of Instruction are also discussed.

  3. Motivation for Math in Rural Schools: Student and Teacher Perspectives (United States)

    Hardre, Patricia L.


    Rural schools, students, teachers, administrators, families and community leaders face unique challenges from those of their urban and suburban counterparts. This paper investigates motivation in rural secondary schools, with a particular focus on mathematics, from teacher and student perspectives. It integrates recent research on math learning…

  4. Student-Made Games to Learn the History of Mathematics (United States)

    Huntley, Mary Ann; Flores, Alfinio


    In this article, the authors describe how prospective secondary mathematics teachers designed their own adaptations of popular board and computer games to learn the history of mathematics. They begin the article by describing some of the games students designed and used, and follow this with a discussion of factors for successful use of games in…

  5. Mathematics Teachers' Use of Information and Communication Technologies: An International Comparison (United States)

    Kiru, Elisheba W.


    There is an urgent need to understand how often teachers use information and communication technologies (ICT) in mathematics instruction. This information can provide vital links that can help stakeholders make connections about ICT use in mathematics instruction and student learning experiences with ICT. Scholars in the field have reported on the…

  6. Mathematics and Science Teachers Professional Development with Local Businesses to Introduce Middle and High School Students to Opportunities in STEM Careers (United States)

    Miles, Rhea; Slagter van Tryon, Patricia J.; Mensah, Felicia Moore


    TechMath is a professional development program that forms collaborations among businesses, colleges, and schools for the purpose of promoting Science, Technology, Engineering, and Mathematics (STEM) careers. TechMath has provided strategies for creating highquality professional development by bringing together teachers, students, and business…

  7. Engaging Primary School Students in Mathematics: Can iPads Make a Difference? (United States)

    Hilton, Annette


    Research on the impact of the integration of technologies such as iPads on primary students' attitudes and engagement in mathematics is limited. Further, there have been claims that teachers' pedagogical choices can strongly influence the effectiveness of iPads for engaging students in mathematics. This paper presents an investigation of the…

  8. Secondary School Students' Attitudes towards Mathematics Computer--Assisted Instruction Environment in Kenya (United States)

    Mwei, Philip K.; Wando, Dave; Too, Jackson K.


    This paper reports the results of research conducted in six classes (Form IV) with 205 students with a sample of 94 respondents. Data represent students' statements that describe (a) the role of Mathematics teachers in a computer-assisted instruction (CAI) environment and (b) effectiveness of CAI in Mathematics instruction. The results indicated…

  9. Developing a Study Orientation Questionnaire in Mathematics for primary school students. (United States)

    Maree, Jacobus G; Van der Walt, Martha S; Ellis, Suria M


    The Study Orientation Questionnaire in Mathematics (Primary) is being developed as a diagnostic measure for South African teachers and counsellors to help primary school students improve their orientation towards the study of mathematics. In this study, participants were primary school students in the North-West Province of South Africa. During the standardisation in 2007, 1,013 students (538 boys: M age = 12.61; SD = 1.53; 555 girls: M age = 11.98; SD = 1.35; 10 missing values) were assessed. Factor analysis yielded three factors. Analysis also showed satisfactory reliability coefficients and item-factor correlations. Step-wise linear regression indicated that three factors (Mathematics anxiety, Study attitude in mathematics, and Study habits in mathematics) contributed significantly (R2 = .194) to predicting achievement in mathematics as measured by the Basic Mathematics Questionnaire (Primary).

  10. A Descriptive Qualitative Study Exploring Teacher and Parental Perceptions of African-American Middle School Male Students Related to Mathematics Performance (United States)

    Fowler, Crystal Nicole


    This qualitative descriptive case study explored the perceptions of parents and teachers of the academic achievement gap in mathematics between African-American middle school males and their White counterparts. Ten parents, both African-American and White, with students attending middle school in the Cherokee County School District and 5 teachers…

  11. The Development of Interdisciplinary Teaching Approaches among Pre-service Science and Mathematics Teachers (United States)

    Miranda Martins, Dominique

    This study sought to understand how a group of pre-service teachers in a combined secondary science and mathematics teaching methods course conceptualized and experienced interdisciplinary approaches to teaching. Although knowing how to plan interdisciplinary activities is an essential teaching practice in Quebec, these pre-service teachers faced many challenges during the process of learning to teach with this approach. By using two interdisciplinary frameworks (Nikitina, 2005; Boix Mansilla & Duraising, 2007), I qualitatively analyzed the development of the pre-service teachers' prior and emerging ideas about interdisciplinarity and their ability to plan interdisciplinary teaching activities. The provincial curriculum and issues related to time greatly shaped students' conceptions about interdisciplinarity in the classroom and constrained their ability to plan for and envision the enactment of interdisciplinary lessons in secondary science and mathematics classes. In addition, images of themselves as content-specialists, self-efficacy beliefs in relation to interdisciplinary teaching, and student learning as a source of teacher motivation emerged as key factors promoting or interrupting the development of interdisciplinary teaching approaches. Examination of these factors highlights the need for teacher-education programs to provide opportunities for pre-service teachers to explore how they see themselves as educators, increase their instructional self-efficacy beliefs, and motivate them to teach in an interdisciplinary fashion. Keywords: interdisciplinary teaching, student-teachers, curriculum, teacher-education program, self-efficacy, motivation.

  12. Opinions of Secondary School Mathematics Teachers on Mathematical Modelling (United States)

    Tutak, Tayfun; Güder, Yunus


    The aim of this study is to identify the opinions of secondary school mathematics teachers about mathematical modelling. Qualitative research was used. The participants of the study were 40 secondary school teachers working in the Bingöl Province in Turkey during 2012-2013 education year. Semi-structured interview form prepared by the researcher…

  13. Talking the talk…but walking the walk? How do non-specialist mathematics teachers come to see themselves as mathematics teachers?


    Crisan, C.; Rodd, M.


    In order to address the shortage of mathematics teachers in England, the UK government has funded various in-service subject knowledge courses for practising teachers, who are not mathematics specialists. These courses aim to develop these teachers’ mathematical subject knowledge (e.g., DfE 2014). In this TAS session we will report on a research project which was set up to investigate how teachers on the in-service programmes offered by our institution developed as teachers of mathematics. We...

  14. Novice Mathematics Teachers Create Themselves (United States)

    Schatz Oppenheimer, Orna; Dvir, Nurit


    This study presents a qualitative research based on three narratives written by novice mathematics teachers. We examine their unique professional world during their first year of work. The methodology of narrative framework, on which this article is based, helps to gain better understanding of the need for novice mathematics teachers to have…

  15. How Preservice Teachers Make Meaning of Mathematics Methods Texts (United States)

    Harkness, Shelly Sheats; Brass, Amy


    Mathematics methods texts are important resources for supporting preservice teachers' learning. Methods instructors routinely assign readings from texts. Yet, anecdotally and also based on reading compliance literature, many students report that they do not read assigned readings. Within this paper we briefly describe the findings from a survey of…

  16. Generating a Networked Improvement Community to Improve Secondary Mathematics Teacher Preparation: Network Leadership, Organization, and Operation (United States)

    Martin, W. Gary; Gobstein, Howard


    The Mathematics Teacher Education Partnership (MTE-Partnership) was formed to address the undersupply of new secondary mathematics teachers who are well prepared to help their students attain the goals of the Common Core State Standards and other college- and career-ready standards. This national consortium of more than 90 universities and 100…

  17. Development Mathematic Assessment to Increase Mathematical Prerequisite Ability on The Student with Learning Disabilities in Inclusive Elementary School (United States)

    Robiansyah, S. T. U.; Nanang, F.; Hidayat


    The purpose of this study was to introduce about mathematic assessment is a process of obtaining data or information about the mastery of a student's mathematical skills as an ingredient in preparing a learning program. With this mathematics assessment can be known obstacles, difficulties and needs of students especially in the field of mathematic, so that the learning program will be in accordance with the potential students because it is tailored to what is required of students. This research study was conducted at elementary school of inclusive precisely at SDN Sukagalih I Bandung City based learning in setting of inclusive education. This research study is motivated by the existence of a first-grade student who has disabilities learning in mathematics, the ability of the mathematical prerequisite mastery of the classification of objects by color. The results of the research can provide a profile picture of student data information, the data obtained from the results of the development of systematic and formal mathematical assessment. After doing the development of mathematics assessment then the teacher gets important related information: 1. process the analysis of students’ learning needs, especially in the field of mathematics, 2. preparing the learning program planning according to student learning needs, 3. Designing procedural of method remedial program.

  18. Effective Strategies for Teaching Mathematics to African American Students (United States)

    White, La Donna


    As of 2001 with the mandates issued under No Child Left Behind, the National Council of Teachers of Mathematics (NCTM) revised its standards to ensure that all students receive a quality mathematics education (NCTM, 2008). The 2009 report from U.S. Department of Education revealed that there is an increase in the number of minority students…

  19. Assessment Mathematics Teacher's Competencies (United States)

    Alnoor, A. G.; Yuanxiang, Guo; Abudhuim, F. S.


    This paper aimed to identifying the professional efficiencies for the intermediate schools mathematics teachers and tries to know at what level the math teachers experience those competencies. The researcher used a descriptive research approach, the study data collected from specialist educators and teacher's experts and previous studies to…

  20. Teachers' Perception of Team Teaching Middle School Mathematics in Urban Schools (United States)

    Serrano, Vanessa


    The purpose of this study was to examine teachers' perceptions of team teaching middle school mathematics in urban schools. The research questions focused on student academic performance and the impact that team teaching may have from the perspective of teachers. The theories of Piaget, Vygotsky, and Bruner formed the theoretical foundation…

  1. Examination of Mathematics Teachers' Pedagogical Content Knowledge of Probability (United States)

    Danisman, Sahin; Tanisli, Dilek


    The aim of this study is to explore the probability-related pedagogical content knowledge (PCK) of secondary school mathematics teachers in terms of content knowledge, curriculum knowledge, student knowledge, and knowledge of teaching methods and strategies. Case study design, a qualitative research model, was used in the study, and the…

  2. Teacher's Guide to Secondary Mathematics. (United States)

    Duval County Schools, Jacksonville, FL.

    This is a teacher's guide to secondary school mathematics. Developed for use in the Duval County Public Schools, Jacksonville, Florida. Areas of mathematics covered are algebra, analysis, calculus, computer literacy, computer science, geometry, analytic geometry, general mathematics, consumer mathematics, pre-algebra, probability and statistics,…

  3. Growing the Character Values to Students Through Application of Realistic Mathematics Education (RME in the Social Arithmetic Learning

    Directory of Open Access Journals (Sweden)

    Amin Suyitno


    Full Text Available AbstractEducating students at the Basic Education level is not only demanded that the students are clever, but there are also other demand which no less important that is to educate so that students have a good character value. Educating  the students to have a good character value is started from home, school, and community. In school, educating character to students is not only the duty of teachers of Religion or Civics class, but also the duty of all teachers, including the teachers in Mathematics. Math teacher does not need to hold special time for educating of character, but it can be integrated into any material taught, and also in different application of learning models. This paper examines how the efforts of mathematics teacher in educating of character to the students of Basic Education, especially in Junior High School through the application of Realistic Mathematics Education (RME on the material of Social Arithmetic. Through presenting of the material of Social Arithmetic by RME learning model, students can be given a character education through the attitude of honesty, tolerance, discipline, cooperation, creative, independent, democratic, curiosity, love of peace, social care, responsibility, and so on. In conclusion, educational character values to students can be done by mathematics teacher through a variety of materials.  One of them  through presenting of the material of Social Arithmetic by RME learning model.

  4. University-School Collaboration as a Tool for Promoting Pre-Service Mathematics Teachers' Professional Skills (United States)

    Kilic, Hulya; Tunc Pekkan, Zelha


    In this paper, we discuss pre-service mathematics teachers' professional gains from a university-school collaboration where they were given opportunity to observe two teacher educators' instructional practices in a 6th grade classroom, interact with students in one-to-one fashion and reflect on the teacher educators' and their own practices. Three…

  5. The Relationship of Mathematics Anxiety and Mathematical Knowledge to the Learning of Mathematical Pedagogy by Preservice Elementary Teachers. (United States)

    Battista, Michael T.


    Examined how preservice elementary teachers' (N=38) mathematical knowledge and mathematics anxiety affect their success in a mathematics methods course. Also examined the hypothesis that a mathematics methods course can reduce the mathematics anxiety of these teachers. One finding is that mathematics anxiety does not inhibit their learning of…

  6. The Relationships among Pre-Service Mathematics Teachers' Beliefs about Mathematics, Mathematics Teaching, and Use of Technology in China (United States)

    Yang, Xinrong; Leung, Frederick K. S.


    This paper investigated pre-service mathematics teachers' mathematics beliefs, beliefs about information and communication technology (ICT), and their relationships. 787 pre-service mathematics teachers in China completed a survey questionnaire measuring their beliefs about the nature of mathematics, beliefs about mathematics learning and…

  7. Helping Students with Mathematical Disabilities to Succeed (United States)

    Wadlington, Elizabeth; Wadlington, Patrick L.


    Teachers and parents are often perplexed when an intelligent student performs poorly in mathematics. Research tells us that this is often due to math disability, otherwise known as "dyscalculia". The authors define dyscalculia and describe its major subtypes. Also, the authors describe characteristics of dyscalculia and explain why dyscalculia is…

  8. Changing Students Minds and Achievement in Mathematics: The Impact of a Free Online Student Course

    Directory of Open Access Journals (Sweden)

    Jo Boaler


    Full Text Available This study reports on the impact of a “massive, open, online course” (MOOC designed to change students' ideas about mathematics and their own potential and improve their mathematics achievement. Many students hold damaging fixed mindsets, believing that their intelligence is unchangeable. When students shift to a growth mindset (believing that their intelligence is malleable, their achievement increases. This study of a MOOC intervention differs from previous mindset research in three ways (1 the intervention was delivered through a free online course with the advantage of being scalable nationwide (2 the intervention infused mindset messages into mathematics, specifically targeting students' beliefs about mathematics (3 the research was conducted with a teacher randomized controlled design to estimate its effects. Results show that the treatment group who took the MOOC reported more positive beliefs about math, engaged more deeply in math in class, and achieved at significantly higher levels on standardized mathematics assessments.

  9. The Emphasis of Inquiry Instructional Strategies: Impact on Preservice Teachers' Mathematics Efficacy (United States)

    Althauser, Krista L.


    Using a Mixed Methods approach, this study investigated changes in levels of self-efficacy among elementary preservice teachers following a semester course on teaching elementary students' mathematics. Participants in this study included 347 preservice elementary teachers at a mid-size regional university who had just completed an elementary…


    Directory of Open Access Journals (Sweden)

    Roselaine Machado Albernaz


    Full Text Available This essay approaches the Mathematics teacher forming process from his/her experiences in the school system and the set of knowledge that hashistorical, philosophical and politically constituted him/her. This set of knowledge not only comprises academic knowledge, but also involves the subjective effects of knowledge it incorporates. Starting from a tale, the character, called ‘researcher-teacher’, conducts the text throughout questions about the forming processes of teachers of such a particular subject as Mathematics. The character seems to have an “interrogative something” which is peculiar to us, teachers, concerned about our disciplinary field. Having the objective of problematize the formation and knowledge of our character, her ways of being, thinking and perceiving, we intend to question, with and through her, the new requirements that have been demanded towards Mathematics teachers and the set of knowledge that constitute her, the way she is, her way of acting and taking  position in the school universe. The proposed essay seeks for an articulation between the fields of Art, Philosophy, Science and Education. It speaks about the intriguing school world, but not least, the ways we think to treat the forming process of Mathematics teachers from a set of logical, subjective and sensitive knowledge.  Key words: Forming process of teachers; mathematics; aesthetic experience; philosophy of difference.

  11. How working on mathematics impacts primary teaching: Mathematics Specialist Teachers make the connections


    Hilton, C.; Houssart, J.


    We draw on analysis of assignments by primary teachers as part of the assessment for the Mathematics Specialist Teachers programme (MaST). In the assignment teachers are asked to work on some mathematics themselves, write up the mathematical part of their work then write about how this experience has impacted on their practice as a primary teacher. We focus first on case studies of teachers who included algebraic work in the first part of their assignments and look at what they say about the ...

  12. Student and Teacher Perceptions of Teacher Oral Communication Behavior in Algebra and Geometry Classrooms (United States)

    Assuah, Charles K.


    Oral communication in mathematics classroom plays an essential role in the mathematics learning process, because it allows students to share ideas, refine their thoughts, reflect on their methods, and clarify their understanding (NCTM, 2000). Knowledge about teacher oral communication behaviors allows researchers and policy makers to identify and…

  13. Collective Pedagogical Teacher Culture and Mathematics Achievement: Differences by Race, Ethnicity, and Socioeconomic Status (United States)

    Moller, Stephanie; Mickelson, Roslyn Arlin; Stearns, Elizabeth; Banerjee, Neena; Bottia, Martha Cecilia


    Scholars have not adequately assessed how organizational cultures in schools differentially influence students' mathematics achievement by race and socioeconomic status (SES). We focus on what we term "collective pedagogical teacher culture", highlighting the role of professional communities and teacher collaboration in influencing…

  14. Enhancing Teacher Education in Primary Mathematics with Mobile Technologies (United States)

    Schuck, Sandy


    A challenge of teacher education is to produce graduate primary school teachers who are confident and competent teachers of mathematics. Various approaches to primary school teacher education in mathematics have been investigated, but primary teacher education graduates still tend to be diffident in their teaching of mathematics. In an age where…

  15. Learning to Attend to Precision: The Impact of Micro-Teaching Guided by Expert Secondary Mathematics Teachers on Pre-Service Teachers' Teaching Practice (United States)

    Cheng, Jing


    Micro-teaching at universities and student teaching in secondary schools are standard forms of practice training for pre-service mathematics teachers in Chinese university teacher education programs. The former is guided by university professors, and the latter is guided by school teachers. In recent years, a special kind of micro-teaching…

  16. Exploring student teachers' perceptions of the influence of ...

    African Journals Online (AJOL)

    Rapid global technological developments have affected all facets of life, including the teaching and learning of mathematics. This qualitative study was designed to identify the ways in which technology was used and to explore the nature of this use by a group of 52 mathematics student teachers. The participants were ...

  17. Investigating the Representational Fluency of Pre-Service Mathematics Teachers in a Modelling Process (United States)

    Delice, Ali; Kertil, Mahmut


    This article reports the results of a study that investigated pre-service mathematics teachers' modelling processes in terms of representational fluency in a modelling activity related to a cassette player. A qualitative approach was used in the data collection process. Students' individual and group written responses to the mathematical modelling…

  18. Closing the Mathematical Achievement Gap Through the Heart To the Brain: A Case Study of Urban High School Mathematics Teachers' Perceptions of How Their Emotional Intelligence Facilitates Instruction and Learning in the Classroom (United States)

    Fang, Chung-Chieh

    The purpose of this qualitative case study was to examine urban high school mathematics teachers' perceptions of how they manage their own and their students' emotional intelligence (EI) to facilitate instruction and learning; their reports of how they handle their emotions as urban mathematics teachers; and their reports of how they manage the emotions of their students. The study focused on the voices of sixteen urban mathematics teachers and was undertaken in reaction to the significant mathematics achievement gap between urban students and their suburban counterparts. The conceptual framework undergirding the study was synthesized work by Daniel Goleman, (1995) and Mayer and Salovey (1997); categorizing emotional intelligence in emotional selfawareness, managing emotions, harnessing emotions, empathy, and handling relationships. Research questions addressing each category were created and from these categories an interview guide was developed. Data gathered during individual teacher interviews was transcribed and sorted into emergent categories using open coding. The findings were organized and presented according to the study's research questions. Urban math teachers reported passion for their students, their feelings affect teaching and learning, and that humor is an important tool in mediating emotions. The study concludes with multiple recommendations for further research and practices. Future studies should compare teachers assuming paternal vs. mentor role when dealing with their students. The study can evaluate if either role has a significant impact in student teacher relationships. A recommendation for practice is for teachers to have professional development experiences focusing on the proper use of humor in the classroom. Humor used properly promotes a positive classroom environment. This is a skill that would be especially beneficial to urban teachers.

  19. Preservice Mathematics Teachers' Perceptions of Drama Based Instruction (United States)

    Bulut, Neslihan


    The purpose of this study was to determine the perceptions of pre-service mathematics teachers related to drama-based instruction. For this purpose, effects of a drama-based mathematics course on senior class pre-service mathematics teachers' knowledge about drama-based instruction and teacher candidates' competencies for developing and…

  20. Developing a study orientation questionnaire in Mathematics for primary school students


    Van Der Walt, Martha


    The Study Orientation Questionnaire in Mathematics (Primary) is being developed as a diagnostic measure for South African teachers and counsellors to help primary school students improve their orientation towards the study of mathematics. In this study, participants were primary school students in the North-West Province of South Africa. During the standardisation in 2007, 1,013 students (538 boys: M age = 12.61; SD = 1.53; 555 girls: M age = 11.98; SD = 1.35; 10 missing values) were assessed...

  1. Mathematics Interventions for Students with High Functioning Autism/Asperger's Syndrome (United States)

    Donaldson, Jeffrey B.; Zager, Dianne


    Teachers are often at a loss when considering how to address mathematics difficulties for students with high functioning autism/Asperger's syndrome (HFA/AS). Students may show difficulty remembering operations throughout an equation, organizing information on the page, and comprehending the language in instructions of word problems. These…

  2. Relationship between teachers' coverage of mathematics curriculum ...

    African Journals Online (AJOL)


    African Journal of Educational Studies in Mathematics and Sciences Vol. ... materials (MCM) and their schools' performance in mathematics ... should be created for mathematics teachers in high performing junior high schools to share their ... in syllabuses which are also spread out in text books, teachers' hand out, etc.

  3. Preservice Elementary Mathematics Teachers' Level of Relating Mathematical Concepts in Daily Life Contexts (United States)

    Akkus, Oylum


    The purpose of this study was to investigate preservice elementary mathematics teachers' ability of relating mathematical concepts and daily life context. Two research questions were set; what is the preservice elementary mathematics teachers' level of relating mathematical concepts and daily life context regarding to their education year and…

  4. Accessible mathematics ten instructional shifts that raise student achievement

    CERN Document Server

    Leinwand, Steven


    Accessible Mathematics is Steven Leinwand's latest important book for math teachers. He focuses on the crucial issue of classroom instruction. He scours the research and visits highly effective classrooms for practical examples of small adjustments to teaching that lead to deeper student learning in math. Some of his 10 classroom-tested teaching shifts may surprise you and others will validate your thinking. But all will improve students' performance. Read Accessible Mathematics, try its 10 suggestions, and discover how minor shifts in teaching can put learning into high gear.

  5. Science and mathematics teachers of the future

    DEFF Research Database (Denmark)

    Michelsen, Claus; Nielsen, Jan Alexis; Petersen, Morten Rask


    This paper presents the project Science and Mathematics Teachers of the Future. The aim of the project is to develop and implement a graduate level equivalent degree program in mathematics and science instruction for in-service teachers of lower secondary education. This aim is achieved...... in the programme through involving the teachers in design, implementation and evaluation of innovative instructional sequences, which deals with a wide range of aspects of mathematics and science, e.g. modern science and the importance of science in society. In the program contemporary science and mathematics...... education research serves as a basis for the design and development of warranted practices with which the teachers may experiment in their classroom. We will focus on the outcomes of offering a program which is intimately tied to (i) contemporary science and mathematics education research, (ii) modern...

  6. Affording and Constraining Local Moral Orders in Teacher-Led Ability-Based Mathematics Groups (United States)

    Tait-McCutcheon, Sandi; Shuker, Mary Jane; Higgins, Joanna; Loveridge, Judith


    How teachers position themselves and their students can influence the development of afforded or constrained local moral orders in ability-based teacher-led mathematics lessons. Local moral orders are the negotiated discursive practices and interactions of participants in the group. In this article, the developing local moral orders of 12 teachers…

  7. Middle-School Mathematics Teachers' Beliefs in NCTM's Vision (United States)

    Perrin, John Robert


    This study examined the extent to which seventh- and eighth-grade mathematics teachers are aware of National Council of Teachers of Mathematics (NCTM) standards documents, Curriculum and Evaluation Standards for School Mathematics and Principles and Standards for School Mathematics and agree with NCTM's vision of school mathematics as expressed in…

  8. Teacher Mathematical Literacy: Case Study of Junior High School Teachers in Pasaman (United States)

    Ahmad, D.; Suherman, S.; Maulana, H.


    The aim of this paper was to examine the ability of junior high school mathematics teachers to solve mathematical literacy base Problems (PISA and PISA-like problems) for the case Pasaman regency. The data was collected by interviews and test. As the results of this study, teacher ability in solving mathematical literacy base problems for level 1 until 3 has been good, but for level 4 or above is still low. It is caused by teacher knowledge about mathematical literacy still few.

  9. Is Content or Interest and Enthusiasm of Mathematics Teachers more important? (United States)

    Stojanovski, E.


    Due to the different type of student being taught today both in the classrooms of secondary schools and at tertiary institutions, it has been proposed that teaching pedagogies for the teaching of mathematics and statistics should also be adjusted to more effectively teach the new age student. Students of today, compared to students from two decades ago, for example, are much more technology savvy, are more likely to own mobile phones and more likely to engage with social media. It seems reasonable then that teaching strategies adapt to the changing student. Secondary data of secondary students are presented to assess the performance of students in mathematics for different aspects of teaching; in particular, to compare whether the interest of teachers appears more important when compared to aspects of teaching that focus only on the delivery of relevant content.

  10. Investigating Pre-Service Mathematics Teachers' Innovation Awareness and Views Regarding Intelligent Tutoring Systems (United States)

    Erdemir, Mustafa; Ingeç, Sebnem Kandil


    The purpose of this study is to identify pre-service primary mathematics teachers' views regarding on Web-based Intelligent Tutoring Systems (WBITS) in relation to its usability and influence on teaching. A survey method was used. The study was conducted with 43 students attending the mathematics teaching program under the department of elementary…

  11. An Ecological Analysis of Mathematics Teachers' Noticing (United States)

    Jazby, Dan


    Most studies which investigate mathematics teacher noticing cast perception into a passive role. This study develops an ecological analysis of mathematics teachers' noticing in order to investigate how teachers actively look for information in classroom environments. This method of analysis is applied to data collected as an experienced primary…

  12. Elementary Preservice Teachers' and Elementary Inservice Teachers' Knowledge of Mathematical Modeling (United States)

    Schwerdtfeger, Sara


    This study examined the differences in knowledge of mathematical modeling between a group of elementary preservice teachers and a group of elementary inservice teachers. Mathematical modeling has recently come to the forefront of elementary mathematics classrooms because of the call to add mathematical modeling tasks in mathematics classes through…

  13. Efforts to Improve Mathematics Teacher Competency Through Training Program on Design Olympiad Mathematics Problems Based on Higher Order Thinking Skills in The Junior High School (United States)

    Arnellis, A.; Jamaan, E. Z.; Amalita, N.


    The goal to analyse a improvement of teacher competence after being trained in preparing high-order math olympicad based on high order thinking skills in junior high school teachers in Pesisir Selatan Regency. The sample of these activities are teachers at the MGMP junior high school in Pesisir Selatan District. Evaluation of the implementation is done by giving a pre test and post test, which will measure the success rate of the implementation of this activities. The existence of the devotion activities is expected to understand the enrichment of mathematics olympiad material and training in the preparation of math olympiad questions for the teachers of South Pesisir district junior high school, motivating and raising the interest of the participants in order to follow the mathematics olympiad with the enrichment of mathematics materials and the training of problem solving about mathematics olympiad for junior high school teachers, the participants gain experience and gain insight, as well as the ins and outs of junior mathematics olympiad and implement to teachers and students in olympic competitions. The result of that the post-test is better than the result of pretest in the training of mathematics teacher competence improvement in composing the mathematics olympiad problem based on high order thinking skills of junior high school (SMP) in Pesisir Selatan District, West Sumatra, Indonesia.

  14. Communication of Geometrical Structure and Its Relationship to Student Mathematical Achievement. (United States)

    Norrie, Alexander L.

    The purpose of this study was to examine whether the mathematical structures inherent in grade 7 geometry curriculum objectives can be used to improve the communication of the objectives to students. Teacher inservice based upon geometrical properties and structures was combined with student teaching materials to try to improve student achievement…

  15. Comparing Views of Primary School Mathematics Teachers and Prospective Mathematics Teachers about Instructional Technologies

    Directory of Open Access Journals (Sweden)

    Adnan Baki


    Full Text Available Technology is rapidly improving in both hardware and software side. As one of the contemporary needs people should acquire certain knowledge, skills, attitudes and habits to understand this technology, to adapt to it and to make use of its benefits. In addition, as in all domains of life, change and improvement is also unavoidable for educational field. As known, change and improvement in education depends on lots of factors. One of the most important factors is teacher. In order to disseminate educational reforms, teachers themselves should accept the innovation first (Hardy, 1998, Baki, 2002; Oral, 2004. There has been variety of studies investigating teacher and prospective teachers‟ competences, attitudes and opinions (Paprzychi, Vikovic & Pierson, 1994; Hardy, 1998; Kocasaraç, 2003; Lin, Hsiech and Pierson, 2004; Eliküçük, 2006; YeĢilyurt, 2006; Fendi, 2007; Teo, 2008; Arslan, Kutluca & Özpınar, 2009. As the common result of these studies indicate that teachers‟ interest towards using instructional technology have increased. Accordingly, most of the teachers began to think that using instructional technologies becomes inevitable for teachers. By reviewing the related literature, no studies have been come across comparing the opinions of teachers and teacher candidates about instructional technologies. In this study, it was aimed to investigate and compare the views of mathematics teachers with prospective mathematics teachers about ICT. It was considered that collecting opinions of teachers and teachers candidates about the instructional technologies, comparing and contrasting them will contribute to the field. To follow this research inquiry, a descriptive approach type; case study research design was applied. The reason for choosing such design is that the case study method permits studying one aspect of the problem in detail and in a short time (Yin, 2003; Çepni, 2007. The study was conducted with the total sample of 12. 3 of

  16. Where is the mathematics in the continuing professional development of mathematics teachers?


    Jones, Keith


    “Subject knowledge” is increasingly being seen as a critical component of effective teaching yet very often (and particularly for secondary teachers) this subject knowledge is taken for granted. The study of mathematics is a required component of the initial education of teachers who will specialise in teaching mathematics, either as a prerequisite in the case of the one-year PGCE or as an integral part of the B.Ed. degree. What becomes of the study of mathematics for these teachers after tha...

  17. Factors That Influence Middle School Mathematics Teachers' Willingness to Collaborate with School Librarians (United States)

    Schnabel, Stephanie L.


    Collaboration between school libraries and classroom teachers can have a powerful impact on student learning. School librarians routinely collaborate with English language arts and social studies curriculum and less frequently with areas in STEM education. This research examines middle school mathematics teachers' extent of or willingness to…


    Directory of Open Access Journals (Sweden)

    Олена Соя


    Full Text Available The article highlights the results of research of formation the culture of independent work of future mathematics teachers, indicating the effectiveness of selected theoretically grounded and practically implemented pedagogical conditions of its formation. Its semantic components that are interconnected and interdependent unity of cognitive, procedural, technological and motivational components were singled out on the basis of definition of independent work culture of future mathematics teachers. The system of indicators, which assessed the degree of mastering by students the culture of independent work by value-orientation, content-effective, reflective, constructive and operationally-activity criteria is reviewed.

  19. The Use of the History of Mathematics in the Teaching Pre-Service Mathematics Teachers (United States)

    Galante, Dianna


    Many scholars have written about using the history of mathematics in the teaching of pre-service mathematics teachers. For this study, pre-service mathematics teachers developed an electronic journal of reflections based on presentations in the history of mathematics in a secondary mathematics education course. The main purpose of the…

  20. Affordances of the Cultural Inquiry Process in Building Secondary Mathematics Teachers' Capacity for Cultural Responsiveness (United States)

    Parker, Frieda; Bartell, Tonya; Novak, Jodie D.


    Over the last couple of decades, there has been a growing call for teachers to become more responsive to the increasing cultural diversity of students as a means of improving students' experiences in school and their learning outcomes. Challenges exist in working with secondary mathematics teachers due to the common belief that math is…

  1. Utilization of online technologies in mathematical problem solving at high school level: Student and teacher perceptions

    Directory of Open Access Journals (Sweden)

    Zeynep Yurtseven Avci


    Full Text Available The availability of internet-based technologies and practices are increasing every day for our daily lives. Most of those contemporary technologies have interactive features and provide unique opportunities for today’s learners. Although a growing amount of research focuses on learning with online tools, little known about which features and affordances contribute for effective classroom learning. This study investigates student and teacher perceptions on how students’ mathematics learning was impacted by online practice, communication and collaboration tools. The present experimental research has been designed with using qualitative case study method and provides detailed accounts of students' experiences with the technologies along with investigation of the features and affordances of the tools that made them contribute to effective learning.

  2. Curriculum Change: What Do Teachers and Students Really Think? (United States)

    Jacob, Rosemary; Frid, Sandra

    This study examined secondary teachers' and recent secondary school graduates' awareness of curriculum change in mathematics and its impact upon teaching and learning. Fifty-three secondary teachers and 54 students enrolled in first year university programs at Northern Territory University (Australia) were surveyed about their awareness and…

  3. The Use of Questions within In-the-Moment Coaching in Initial Mathematics Teacher Education: Enhancing Participation, Reflection, and Co-Construction in Rehearsals of Practice (United States)

    Averill, Robin; Drake, Michael; Anderson, Dayle; Anthony, Glenda


    Managing mathematical discussion is known to be challenging for novice teachers. Coaching within student teacher rehearsals of teaching has been shown to develop mathematics teaching practice, but can be time consuming. To examine how coaching using questions could assist novice teachers to promote mathematical thinking and discussions within…

  4. Under-Threes' Mathematical Learning--Teachers' Perspectives (United States)

    Franzén, Karin


    This project highlights preschool teachers' views of toddlers' learning in mathematics. The Swedish national curriculum covers even the youngest children who are 1-3?years old. Interesting questions are thus: what should mathematics be for this age group and how should preschool teachers work with maths to achieve the curriculum objectives? Data…

  5. Striking the Right Balance: Students' Motivation and Affect in Elementary Mathematics (United States)

    Schweinle, Amy; Meyer, Debra K.; Turner, Julianne C.


    The authors explored the relationship between motivation and affect in upper elementary mathematics classes from the perspective of flow theory. They also investigated the relationship between students' motivation and teachers' instructional practices. Students' reported classroom experiences formed 4 factors--Social Affect, Personal Affect,…

  6. Differences in Mathematics Teachers' Perceived Preparedness to Demonstrate Competence in Secondary School Mathematics Content by Teacher Characteristics (United States)

    Ng'eno, J. K.; Chesimet, M. C.


    A sample of 300 mathematics teachers drawn from a population of 1500 participated in this study. The participants were selected using systematic random sampling and stratified random sampling (stratified by qualification and gender). The data was collected using self-report questionnaires for mathematics teachers. One tool was used to collect…

  7. Pre-Service Teachers' Mathematics Self-Efficacy and Mathematics Teaching Self-Efficacy (United States)

    Zuya, Habila Elisha; Kwalat, Simon Kevin; Attah, Bala Galle


    Pre-service mathematics teachers' mathematics self-efficacy and mathematics teaching self-efficacy were investigated in this study. The purpose was to determine the confidence levels of their self-efficacy in mathematics and mathematics teaching. Also, the study was aimed at finding whether their mathematics self-efficacy and teaching…

  8. Effects of Mathematics Computer Games on Special Education Students' Multiplicative Reasoning Ability (United States)

    Bakker, Marjoke; van den Heuvel-Panhuizen, Marja; Robitzsch, Alexander


    This study examined the effects of a teacher-delivered intervention with online mathematics mini-games on special education students' multiplicative reasoning ability (multiplication and division). The games involved declarative, procedural, as well as conceptual knowledge of multiplicative relations, and were accompanied with teacher-led lessons…

  9. Improving mathematics teaching and learning experiences for hard of hearing students with wireless technology-enhanced classrooms. (United States)

    Liu, Chen-Chung; Chou, Chien-Chia; Liu, Baw-Jhiune; Yang, Jui-Wen


    Hard of hearing students usually face more difficulties at school than other students. A classroom environment with wireless technology was implemented to explore whether wireless technology could enhance mathematics learning and teaching activities for a hearing teacher and her 7 hard of hearing students in a Taiwan junior high school. Experiments showed that the highly interactive communication through the wireless network increased student participation in learning activities. Students demonstrated more responses to the teacher and fewer distraction behaviors. Fewer mistakes were made in in-class course work because Tablet PCs provided students scaffolds. Students stated that the environment with wireless technology was desirable and said that they hoped to continue using the environment to learn mathematics.

  10. A professional experience learning community for secondary mathematics: developing pre-service teachers' reflective practice (United States)

    Cavanagh, Michael; McMaster, Heather


    This paper reports on the reflective practice of a group of nine secondary mathematics pre-service teachers. The pre-service teachers participated in a year-long, school-based professional experience program which focussed on observing, co-teaching and reflecting on a series of problem-solving lessons in two junior secondary school mathematics classrooms. The study used a mixed methods approach to consider the impact of shared pedagogical conversations on pre-service teachers' written reflections. It also examined whether there were differences in the focus of reflections depending on whether the lesson was taught by an experienced mathematics teacher, or taught by a pair of their peers, or co-taught by themselves with a peer. Results suggest that after participants have observed lessons taught by an experienced teacher and reflected collaboratively on those lessons, they continue to reflect on lessons taught by their peers and on their own lessons when co-teaching, rather than just describe or evaluate them. However, their written reflections across all contexts continued to focus primarily on teacher actions and classroom management rather than on student learning.

  11. Preparing and Supporting Black Students to Enroll and Achieve in Advanced Mathematics Classes in Middle School: A Case Study


    Cobbs, Joyce Bernice


    The literature on minority student achievement indicates that Black students are underrepresented in advanced mathematics courses. Advanced mathematics courses offer students the opportunity to engage with challenging curricula, experience rigorous instruction, and interact with quality teachers. The middle school years are particularly significant for mathematics education since the courses students pursue during those years affect later access to rigorous mathematics coursework at the high ...

  12. Teacher classroom practices and Mathematics performance in ...

    African Journals Online (AJOL)

    The Mathematics teacher questionnaire, administered as part of the Trends in International Mathematics and Science Study (TIMSS) 2011, comprised questions pertaining to the classroom practices of Teacher Clarity, Classroom Discussion, Feedback, Formative Assessment, Problem Solving and Metacognitive Strategies, ...

  13. Destrezas de Matematica: Curriculo Basico. Guia para el Maestro (Mathematics Skills: Basic Curriculum. Teacher's Guide). (United States)

    Puerto Rico State Dept. of Education, Hato Rey. Office of Special Education.

    The fundamental importance of basic mathematics to daily life is emphasized in this teacher's guide for special education teachers in Puerto Rico. While it is necessary for the teacher to determine the needs and abilities of each student and adapt the curriculum accordingly, this guide presents, in Spanish, a set of lesson plans, each with an…

  14. Improving students’ creative mathematical reasoning ability students through adversity quotient and argument driven inquiry learning (United States)

    Hidayat, W.; Wahyudin; Prabawanto, S.


    This study aimed to investigate the role factors of Adversity Quotient (AQ) and Argument-Driven Inquiry (ADI) instruction in improving mathematical creative reasoning ability from students’ who is a candidate for a math teacher. The study was designed in the form of experiments with a pretest-posttest control group design that aims to examine the role of Adversity Quotient (AQ) and Argument-Driven Inquiry (ADI) learning on improving students’ mathematical creative reasoning abilities. The population in this research was the student of mathematics teacher candidate in Cimahi City, while the sample of this research was 90 students of the candidate of the teacher of mathematics specified purposively then determined randomly which belong to experiment class and control class. Based on the results and discussion, it was concluded that: (1) Improvement the ability of mathematical creative reasoning of students’ who was a candidate for a math teacher who received Argument-Driven Inquiry (ADI) instruction is better than those who received direct instruction is reviewed based on the whole; (2) There was no different improvement the ability of mathematical creative reasoning of students’ who is a candidate for a math teacher who received Argument-Driven Inquiry (ADI) instruction and direct instruction was reviewed based on the type of Adversity Quotient (Quitter / AQ Low, Champer / AQ Medium, and the Climber / AQ High); (3) Learning factors and type of Adversity Quotient (AQ) affected the improvement of students’ mathematical creative reasoning ability. In addition, there was no interaction effect between learning and AQ together in developing of students’ mathematical creative reasoning ability; (4) mathematical creative reasoning ability of students’ who is a candidate for math teacher had not been achieved optimally on the indicators novelty.

  15. Exploring mathematics anxiety and attitude: Mathematics students' experiences (United States)

    Sahri, Nurul Ashikin; Kamaruzaman, Wan Nur Farahdalila Wan; Jamil, Jastini Mohd.; Shaharanee, Izwan Nizal Mohd.


    A quantitative and correlational, survey methods were used to investigate the relationships among mathematical anxiety and attitude toward student's mathematics performance. Participants were 100 students volunteer to enroll in undergraduate Industrial Statistics, Decision Sciences and Business Mathematics at one of northern university in Malaysia. Survey data consisted of demographic items and Likert scale items. The collected data was analyzed by using the idea of correlation and regression analysis. The results indicated that there was a significant positive relationship between students' attitude and mathematics anxiety. Results also indicated that a substantial positive effect of students' attitude and mathematics anxiety in students' achievement. Further study can be conducted on how mathematical anxiety and attitude toward mathematics affects can be used to predict the students' performance in the class.

  16. Mathematics, Language, and Learning: A Longitudinal Study of Elementary Teachers and Their Mathematics Teaching Practices


    Yeh, Cathery


    Elementary school mathematics has gained increased attention in the last few decades. A growing field of research has studied the programmatic design and development of elementary mathematics teaching in teacher education, however, few studies have examined longitudinally the mathematics teaching of novice elementary teachers. Existing longitudinal studies on elementary mathematics teaching have generally focused on the effects of teacher preparation on their beginning practices and have exam...

  17. Modelling Mathematics Teachers' Intention to Use the Dynamic Geometry Environments in Macau: An SEM Approach (United States)

    Zhou, Mingming; Chan, Kan Kan; Teo, Timothy


    Dynamic geometry environments (DGEs) provide computer-based environments to construct and manipulate geometric figures with great ease. Research has shown that DGEs has positive impact on student motivation, engagement, and achievement in mathematics learning. However, the adoption of DGEs by mathematics teachers varies substantially worldwide.…

  18. Influence of a Mathematics Teachers' Circle on Elementary Teachers' Use of Problem Solving (United States)

    Garner, Mary L.; Watson, Virginia; Rogers, Beth; Head, Catherine


    Math teachers' circles are a form of professional development that is recommended by the Conference Board of the Mathematical Sciences in their publication Mathematical Education of Teachers II (2012). However, little research has been published on how effective math teachers' circles are in advancing the mathematical knowledge of teachers and…

  19. Measuring and factors influencing mathematics teachers' technological pedagogical and content knowledge (TPACK) in three southernmost provinces, Thailand (United States)

    Adulyasas, Lilla


    Technology becomes an important role in teaching and learning mathematics nowadays. Integrating technology in the classroom helps students have better understanding in many of mathematics concepts. One of the major framework for assessing the knowledge of integrating technology with the pedagogy and content in the classroom is Technological Pedagogical and Content Knowledge (TPACK) framework. This study aimed to measure mathematics teachers' TPACK in three southernmost provinces, Thailand and to study on factors influencing their TPACK. A quantitative study was carried out with 210 secondary level mathematics teachers in the three southernmost provinces, Thailand which were random by two stage sampling technique. Data were collected by using a questionnaire to identify the level of mathematics teachers' TPACK and the factors influencing their TPACK. Descriptive statistics, Pearson product moment correlation and multiple regression analysis were used for analysing data. Findings reveal that the mean score of mathematics teachers' TPACK is 3.33 which is in the medium level and the three factors which have positive correlation at .05 level of significant with the level of TPACK are teaching experience factor, individual specialization factor and personal & organization factor. However, there are only two factors influencing mathematics teachers' TPACK. The two factors are individual specialization factor and personal & organization factors. These give better understanding on mathematics teachers' knowledge in integrating technology with the pedagogy and content which will be the important information for improving mathematics teachers' TPACK.

  20. The enhancement of students' mathematical self-efficacy through teaching with metacognitive scaffolding approach (United States)

    Prabawanto, S.


    This research aims to investigate the enhancement of students’ mathematical self- efficacy through teaching with metacognitive scaffolding approach. This research used a quasi- experimental design with pre-post respon control. The subjects were pre-service elementary school teachers in a state university in Bandung. In this study, there were two groups: experimental and control groups. The experimental group consists of 60 students who acquire teaching mathematics under metacognitive approach, while the control group consists of 58 students who acquire teaching mathematics under direct approach. Students were classified into three categories based on the mathematical prior ability, namely high, middle, and low. Data collection instruments consist of mathematical self-efficacy instruments. By using mean difference test, two conclusions of the research: (1) there is a significant difference in the enhancement of mathematical self-efficacy between the students who attended the course under metacognitive scaffolding approach and students who attended the course under direct approach, and (2) there is no significant interaction effect of teaching approaches and ability level based on the mathematical prior ability toward enhancement of students’ mathematical self-efficacy.

  1. Elementary General and Special Education Teachers' Mathematics Skills and Efficacy (United States)

    Flores, Margaret M.; Thornton, Jennifer; Franklin, Toni M.; Hinton, Vanessa M.; Strozier, Shaunita


    The purpose of this study was to extend the literature regarding elementary teachers' beliefs about mathematics instruction to include special education teachers by surveying special education and general education teachers' mathematics teaching efficacy. In addition, the researchers' surveyed teachers' mathematics skills. The participants (n =…

  2. Preservice Teachers' Perceptions about Teaching Mathematics through Music (United States)

    An, Song A.; Tillman, Daniel; Shaheen, Andrea; Boren, Rachel


    This study examined preservice teachers' perceptions about teaching elementary level mathematics lessons integrated with music. It also sought to determine how preservice teachers would strategize the integration of music activities when introducing elementary level mathematics lessons. The participants, 53 undergraduate preservice teachers at a…

  3. Increasing Mathematics and Science Achievement for Culturally Diverse Students through Teaching Training (United States)

    Mahon, Lee


    The purpose of this proposal was to field test and evaluate a Teacher Training program that would prepare teachers to increase the motivation and achievement of culturally diverse students in the areas of science and mathematics. Designed as a three year program, this report covers the first two years of the training program at the Ronald McNair School in the Ravenswood School district, using the resources of the NASA Ames Research Center and the California Framework for Mathematics and Science.

  4. Secondary School Mathematics Teachers’ and Students’ Views on Computer Assisted Mathematics Instruction in Turkey: Mathematica Example

    Directory of Open Access Journals (Sweden)

    Mehmet Alper Ardıç


    Full Text Available This study aimed at determining the secondary school mathematics teachers’ and students’ views on computer-assisted mathematics instruction (CAMI conducted via Mathematica. Accordingly, three mathematics teachers in Adıyaman and nine 10th-grade students participated in the research. Firstly, the researchers trained the mathematics teachers in the Mathematica program, a computer algebra system (CAS and CAMI. Then, they provided a suitable environment for teachers to practice CAMI with their students to teach quadratic functions (parabola. Case study, a qualitative research design, was utilized in the study. Semi-structured interview forms were used as data collection tools. The interview data were analyzed using descriptive and content analysis, and the codes and themes related to the topic were obtained. The findings revealed that all the teachers found CAMI implementations interesting as supported by students’ views. While all mathematics teachers wanted to benefit from CAMI in mathematics and geometry courses, most of the students asked that CAMI be used in different courses. It was found that students did not have any problems with the Mathematica used with CAMI activities. However, it was also revealed by one student and one teacher that involving CAMI constantly in the courses would hinder preparations for the university entrance exam.

  5. Educating mathematics teacher educators

    DEFF Research Database (Denmark)

    Højgaard, Tomas; Jankvist, Uffe Thomas


    The paper argues for a three-dimensional course design structure for future mathematics teacher educators. More precisely we describe the design and implementation of a course basing itself on: the two mathematical competencies of modelling and problem tackling, this being the first dimension......; the two mathematical topics of differential equations and stochastics, this being the second dimension; and finally a third dimension the purpose of which is to deepen the two others by means of a didactical perspective....

  6. Do Prospective Teachers Have Anxieties about Teaching Mathematics? (United States)

    Yavuz, Günes


    The purpose of this study is to analyse the level of prospective classroom and mathematics teachers' anxieties about teaching mathematics. Freshman and junior prospective teachers from educational faculties of two different universities participated in this study. "Anxieties About Teaching Mathematics Scale" which was developed by Peker…

  7. Pre-service teachers' mathematical knowledge for teaching basic ...

    African Journals Online (AJOL)

    This study measured pre-service teachers' mathematical knowledge for teaching (MKT) basic school mathematics. MKT multiple-choice test was administered to 100 pre-service teachers from two colleges of education (located at Mampong in the Ashanti Region of Ghana) to assess their mathematical knowledge for ...

  8. Secondary School Mathematics Teachers' Attitude in Teaching Mathematics


    Mulugeta Atnafu


    The purpose of this study was to examine Addis Ababa secondary school mathematics teachers’ attitude in teaching mathematics. 148 mathematics teachers were selected using cluster sampling from Addis Ababa administration region. The study used survey method of data collection and it includes both quantitative and qualitative research methods. From the independent t-test, ANOVA, tukey test and regression analysis, some of the results obtained were: the majority of the secondary school mathemati...

  9. Helping All Students Become Einstein's Using Bibliotherapy When Teaching Mathematics to Prepare Students for a STEM World (United States)

    Furner, Joseph M.


    Today, being confident and having a sound understanding of mathematics is critical in an age of STEM. Teachers must play in important role in seeing that all students display their confidence in their ability to do mathematics. This paper explains the process of using bibliotherapy when teaching mathematics to address both the math anxious or the…

  10. "Change My Thinking Patterns towards Maths": A Bibliotherapy Workshop for Pre-Service Teachers' Mathematics Anxiety (United States)

    Wilson, Sue; Raven, Monica


    In small-group workshops, a joint initiative of the researcher and the student counsellor, primary (elementary) pre-service teachers (PSTs) wrote about critical incidents in their mathematics learning, and shared them with the group. Then, PSTs read extracts about mathematics anxiety (maths anxiety), and wrote and shared their reflections…

  11. Teacher Education and Development Study in Mathematics (TEDS-M): Do Countries Paying Teachers Higher Relative Salaries Have Higher Student Mathematics Achievement? (United States)

    Carnoy, Martin; Brodziak, Iliana; Luschei, Thomas; Beteille, Tara; Loyalka, Prashant


    In this publication, the authors compare the salaries of primary (Grades 1 to 6 in most countries) and secondary school (usually Grades 7 to 12) teachers with the salaries of people in mathematics-oriented professions, such as engineering, scientific fields, and accounting. Their analysis centers on a number of developed and developing countries.…

  12. The Multimedia Case as a Tool for Professional Development: An Analysis of Online and Face-to-Face Interaction among Mathematics Pre-Service Teachers, In-Service Teachers, Mathematicians, and Mathematics Teacher Educators (United States)

    McGraw, Rebecca; Lynch, Kathleen; Koc, Yusuf; Budak, Ayfer; Brown, Catherine A.


    In this study, we consider the potential of multimedia cases as tools for teacher professional development. Specifically, we examined online and face-to-face discussions that occurred within groups composed of pre-service mathematics teachers, in-service mathematics teachers, mathematicians, and mathematics teacher educators. Discussions within…

  13. Teachers' Perception of African American Middle School Girls' Interest in Mathematics and Science (United States)

    Best, Bonnie M.

    Research into African American female underrepresentation in science, technology, engineering, and mathematics (STEM) fields has become an area of interest due to the fact that a majority of African American middle school females do not possess the high levels of mathematics and science knowledge because of social and cultural barriers both inside and outside school that challenge their academic success. The purpose of this qualitative interpretative phenomenological study was to explore teachers' shared, lived experiences of teaching mathematics and science to African American middle school girls. Delgado and Stefancic's critical race theory, Pratt-Clarke's critical race feminism, and Baker-Miller's relational-cultural theory were used to guide this study. Research questions focused on the perceptions and experiences of teachers' lived experiences teaching mathematics and science to African American middle school females. Criterion, purposive, and maximum variation sampling techniques were used to recruit 10 teachers who have 3 or more years' experience teaching African American middle school girls. Semistructured face-to-face interviews were the primary data collection source. First cycle and second cycle coding methods were used to support the analysis of this study. Findings suggest that there is a connection between a positive student-teacher relationship and academic success. The results of this study contribute to positive social change by providing empirical evidence policymakers and teachers can use to improve the mathematics and science instruction and practices that are needed to meet the needs of African American middle school females and reduce the underrepresentation and underachievement of African American females in mathematics and science.

  14. Pre-service teachers' experiences teaching secondary mathematics in English-medium schools in Tanzania (United States)

    Kasmer, Lisa


    In order to promote mathematical understanding among English Language Learners (ELLs), it is necessary to modify instructional strategies to effectively communicate mathematical content. This paper discusses the instructional strategies used by four pre-service teachers to teach mathematics to secondary students in English-medium schools in Arusha, Tanzania as a result of the tensions they faced and reflections on their teaching. Strategies such as code switching, attending to sentence structure, non-linguistic representations, and placing the content within a familiar context proved to be beneficial strategies for conveying mathematical ideas.

  15. Mathematics authentic assessment on statistics learning: the case for student mini projects (United States)

    Fauziah, D.; Mardiyana; Saputro, D. R. S.


    Mathematics authentic assessment is a form of meaningful measurement of student learning outcomes for the sphere of attitude, skill and knowledge in mathematics. The construction of attitude, skill and knowledge achieved through the fulfilment of tasks which involve active and creative role of the students. One type of authentic assessment is student mini projects, started from planning, data collecting, organizing, processing, analysing and presenting the data. The purpose of this research is to learn the process of using authentic assessments on statistics learning which is conducted by teachers and to discuss specifically the use of mini projects to improving students’ learning in the school of Surakarta. This research is an action research, where the data collected through the results of the assessments rubric of student mini projects. The result of data analysis shows that the average score of rubric of student mini projects result is 82 with 96% classical completeness. This study shows that the application of authentic assessment can improve students’ mathematics learning outcomes. Findings showed that teachers and students participate actively during teaching and learning process, both inside and outside of the school. Student mini projects also provide opportunities to interact with other people in the real context while collecting information and giving presentation to the community. Additionally, students are able to exceed more on the process of statistics learning using authentic assessment.

  16. Beliefs and Attitudes about Science and Mathematics in Pre-Service Elementary Teachers, STEM, and Non-STEM Majors in Undergraduate Physics Courses (United States)

    Michaluk, Lynnette; Stoiko, Rachel; Stewart, Gay; Stewart, John


    Elementary teachers often hold inaccurate beliefs about the Nature of Science (NoS) and have negative attitudes toward science and mathematics. Using a pre-post design, the current study examined beliefs about the NoS, attitudes toward science and mathematics, and beliefs about the teaching of mathematics and science in a large sample study ( N = 343) of pre-service teachers receiving a curriculum-wide intervention to improve these factors in comparison with Science, Technology, Engineering, and Mathematics (STEM) and non-STEM majors in other physics courses ( N = 6697) who did not receive the intervention, over a 10-year period. Pre-service teachers evidenced initially more negative attitudes about mathematics and science than STEM majors and slightly more positive attitudes than non-STEM majors. Their attitudes toward mathematics and science and beliefs about the NoS were more similar to non-STEM than STEM majors. Pre-service teachers initially evidenced more positive beliefs about the teaching of mathematics and science, and their beliefs even increased slightly over the course of the semester, while these beliefs in other groups remained the same. Beliefs about the NoS and the teaching of mathematics and science were significantly negatively correlated for STEM and non-STEM majors, but were not significantly correlated for pre-service teachers. Beliefs about the NoS and attitudes toward mathematics and science were significantly positively correlated for both pre-service teachers and STEM students pursing the most mathematically demanding STEM majors. Attitudes toward science and mathematics were significantly positively correlated with accurate beliefs about the teaching of mathematics and science for all student groups.

  17. Preservice Mathematics Teachers' Metaphorical Perceptions towards Proof and Proving (United States)

    Ersen, Zeynep Bahar


    Since mathematical proof and proving are in the center of mathematics; preservice mathematics teachers' perceptions against these concepts have a great importance. Therefore, the study aimed to determine preservice mathematics teachers' perceptions towards proof and proving through metaphors. The participants consisted of 192 preservice…

  18. Differentiation practices in grade 2 and 3 : Variations in teacher behavior in mathematics and reading comprehension lessons

    NARCIS (Netherlands)

    Ritzema, Evelien S.; Deunk, Marjolein I.; Bosker, Roel J.


    This study focused on the differentiation practices of second- and third-grade teachers in mathematics and reading comprehension lessons. Preconditions for differentiation, classroom organization, and how teachers dealt with students of different ability levels were investigated through

  19. Establishing a mathematical Lesson Study culture in Danish teacher education

    DEFF Research Database (Denmark)

    Skott, Charlotte Krog; Østergaard, Camilla Hellsten

    Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences......Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences...

  20. Scale development for pre-service mathematics teachers ...

    African Journals Online (AJOL)

    The purpose of this study is to develop a scale to determine pre-service mathematics teachers' perceptions related to their pedagogical content knowledge. Firstly, a preliminary perception scale of pedagogical content knowledge was constructed and then administered to 112 pre-service mathematics teachers who were ...

  1. Undergraduate Students' Perceptions of the Mathematics Courses Included in the Primary School Teacher Education Program (United States)

    Serin, Mehmet Koray; Incikabi, Semahat


    Mathematics educators have reported on many issues regarding students' mathematical education, particularly students who received mathematics education at different departments such as engineering, science or primary school, including their difficulties with mathematical concepts, their understanding of and preferences for mathematical concepts.…

  2. Teachers' Conceptions of Mathematical Modeling (United States)

    Gould, Heather


    The release of the "Common Core State Standards for Mathematics" in 2010 resulted in a new focus on mathematical modeling in United States curricula. Mathematical modeling represents a way of doing and understanding mathematics new to most teachers. The purpose of this study was to determine the conceptions and misconceptions held by…

  3. Co-operation Between Science Teachers and Mathematics Teachers. Volumes 1-6. (United States)

    Rogerson, Alan, Ed.

    This document contains six separate works, titled: (1) Functions and Physics; (2) Links Between Geography and Mathematics; (3) Our Inheritance: Common Ground for the Mathematics and Biology Teacher; (4) Mathematics and Chemistry: The Classroom Interface; (5) Mathematical Modeling; and (6) Mathematical Modeling with Calculus. This series of…

  4. Future Directions in Research on Mathematics-Related Teacher Identity (United States)

    Lutovac, Sonja; Kaasila, Raimo


    Mathematics education research has placed great emphasis on teacher identity, examining both pre- and in-service teachers, and within these cohorts, specialised mathematics teachers and non-specialists such as elementary teachers. Extensive research has already been done; hence, this paper discusses possible future directions for research on…

  5. Task Modification and Knowledge Utilization by Korean Prospective Mathematics Teachers.

    Directory of Open Access Journals (Sweden)

    Kyeong-Hwa Lee


    Full Text Available It has been asserted that mathematical tasks play a critical role in the teaching and learning of mathematics. Modification of tasks included in intended curriculum materials, such as textbooks, can be an effective activity for prospective teachers to understand the role of mathematical tasks in the teaching and learning of mathematics; designing of new tasks requires more knowledge and experience. This study aims to identify the patterns that Korean prospective mathematics teachers seem to follow when they modify the mathematical tasks in textbooks. Knowledge utilized by prospective teachers while they modify textbook tasks is identified and characterized in order to understand the possible factors that have an impact on Korean prospective mathematics teachers' modification of tasks.


    Directory of Open Access Journals (Sweden)

    Vdovychyn Tatiana


    Full Text Available The article provides methodical recommendations on studying of the discipline "Informatics" for the specialists preparation of the first (Bachelor level of higher education of the field of knowledge 01 "Education" of the specialty 014.04 "Secondary education (mathematics", 014.08 "Secondary education (physics". This discipline plays a particularly important role in the higher education establishments physical and mathematical field specialists training, since it combines both the fundamental concepts and principles of various mathematical and informatics disciplines, as well as applied models and algorithms for their application. The methodological aspects of the discipline "Informatics" study include the pedagogical feasibility of the forms, methods and means of training for students who are qualified as a teacher of mathematics and a physics teacher respectively. The discipline program includes issues on informatics theoretical foundations, applied software, and the basics of programming. Students are encouraged to consider the basics of programming in the C ++ environment. Basic C ++ language designs have a convenient, professional programming toolkit. Integrated C ++ environment is characterized by speed, convenience in debugging and compiling of the program. Therefore, the article focuses on the practical skills formation in the C ++ environment for the students of the physical and mathematical profile and highlights the methodological aspects of the C ++ programming language use in the course of the discipline "Informatics" teaching. The formation of practical skills takes place during the performance of laboratory works, namely: the original problem setting, the construction of an algorithm for its solution, analysis of the received results.

  7. Preparing and Supporting Black Students to Enroll and Achieve in Advanced Mathematics Classes in Middle School: A Case Study (United States)

    Cobbs, Joyce Bernice


    The literature on minority student achievement indicates that Black students are underrepresented in advanced mathematics courses. Advanced mathematics courses offer students the opportunity to engage with challenging curricula, experience rigorous instruction, and interact with quality teachers. The middle school years are particularly…

  8. An Investigation of Mathematical Modeling with Pre-Service Secondary Mathematics Teachers (United States)

    Thrasher, Emily Plunkett


    The goal of this thesis was to investigate and enhance our understanding of what occurs while pre-service mathematics teachers engage in a mathematical modeling unit that is broadly based upon mathematical modeling as defined by the Common Core State Standards for Mathematics (National Governors Association Center for Best Practices & Council…

  9. Rethinking Teacher Preparation: Conceptualizing Skills and Knowledge of Novice Teachers of Secondary Mathematics (United States)

    Cummings, Margarita Borelli


    This dissertation examines the extent to which novice secondary mathematics teachers (licensed and currently teaching in Utah) perceive they are prepared to do the work of teaching secondary mathematics. It first examined if novice secondary mathematics teachers' perceptions of their knowledge and skills of doing their work fell into four…

  10. Emotions in the classroom: the role of teachers' emotional intelligence ability in predicting students' achievement. (United States)

    Curci, Antonietta; Lanciano, Tiziana; Soleti, Emanuela


    School days can be a difficult time, especially when students are faced with subjects that require motivational investment along with cognitive effort, such as mathematics and sciences. In the present study, we investigated the effects of teachers' emotional intelligence (El) ability, self-efficacy, and emotional states and students' self-esteem, perceptions of ability, and metacognitive beliefs in predicting school achievement. We hypothesized that the level of teacher EI ability would moderate the impact of students' self-perceptions and beliefs about their achievements in mathematics and sciences. Students from Italian junior high schools (N = 338) and their math teachers (N = 12) were involved in the study, and a multilevel approach was used. Findings showed that teachers' EI has a positive role in promoting students' achievement, by enhancing the effects of students' self-perceptions of ability and self-esteem.These results have implications for the implementation of intervention programs on the emotional, motivational, and metacognitive correlates of studying and learning behavior.

  11. Mathematical literacy teachers' engagement with contextual tasks ...

    African Journals Online (AJOL)

    This article reports on a study carried out with a group of 108 practising Mathematical Literacy (ML) teachers who participated in an Advanced Certificate in Education (ACE) programme. The purpose of the qualitative study was to identify and describe the teachers' varying levels of engagement with mathematics tools and ...

  12. Student teachers’ perceptions of democracy in the mathematics classroom: Freedom, equality and dialogue

    Directory of Open Access Journals (Sweden)

    Wajeeh Daher


    Full Text Available This article studies student teachers’ perceptions of the pedagogic and didactic aspects of teaching and learning mathematics in a democratic classroom. It is concerned primarily with issues of democracy in the mathematics classroom, specifically freedom, equality and dialogue. The research was conducted in two mathematics teacher education classes, where students were in their third year of study to major in mathematics. To find these students’ perceptions of democracy in the mathematics classroom the first two stages of the constant comparison method were followed to arrive at categories of democratic and undemocratic acts. The participants in the research emphasised that instructors should refrain from giving some students more time or opportunities to express themselves or act in the mathematics classroom than other students, because this would make them feel unequal and possibly make them unwilling to participate further in the mathematics classroom. The participants also emphasised that instructors should not exert their power to stop the flow of students’ actions in the mathematics classroom, because this would trouble them and make them lose control of their actions. Further, the participants mentioned that instructors would do better to connect to students’ ways of doing mathematics, especially of defining mathematical terms, so that students appreciate the correct ways of doing mathematics and defining its terms.

  13. Developing Mathematical Resilience of Prospective Math Teachers (United States)

    Ariyanto, L.; Herman, T.; Sumarmo, U.; Suryadi, D.


    Prospective math teachers need to develop positive adaptive attitudes toward mathematics that will enable them to continue learning despite having to deal with obstacles and difficulties. This research focuses on the resilience improvement of the prospective mathematic teachers after being treated using problem-based learning based on their basic knowledge on mathematic and their overall knowledge on math. This research used only one group for pre-test and post-test. The result of this research shows that there is improvement on prospective teachers’ resilience after they were given treatment using problem-based learning. One of the factors causing the resilience improvement of the prospective mathematic teachers is the instructions on students’ work sheet. In the instructions, stud ents were asked to write difficulties in solving math problems as well as write down the solution they take to overcome them. This research can be used as a reference for other researchers who want to do the same research related on students’ resiliency o n math and or math lecturers to improve the resilience of prospective teachers to be resilient teachers on math in the future.

  14. Capturing Student Mathematical Engagement through Differently Enacted Classroom Practices: Applying a Modification of Watson's Analytical Tool (United States)

    Patahuddin, Sitti Maesuri; Puteri, Indira; Lowrie, Tom; Logan, Tracy; Rika, Baiq


    This study examined student mathematical engagement through the intended and enacted lessons taught by two teachers in two different middle schools in Indonesia. The intended lesson was developed using the ELPSA learning design to promote mathematical engagement. Based on the premise that students will react to the mathematical tasks in the forms…

  15. Primary school teachers' assessment profiles in mathematics education. (United States)

    Veldhuis, Michiel; van den Heuvel-Panhuizen, Marja


    The aim of this study was to contribute to knowledge about classroom assessment by identifying profiles of teachers' assessment of their students' understanding of mathematics. For carrying out this study we used data of a nationwide teacher survey (N = 960) in the Netherlands. The data were collected by an online questionnaire. Through exploratory factor analyses the underlying structure of what is measured by this questionnaire was uncovered as consisting of five factors: Goal centeredness of assessment, Authentic nature of assessment, Perceived usefulness of assessment, Diversity of assessment problem format, and Allocated importance of assessing skills and knowledge. By using a latent class analysis four different assessment profiles of teachers were identified: Enthusiastic assessors, Mainstream assessors, Non-enthusiastic assessors, and Alternative assessors. The findings suggest that teachers with particular assessment profiles have qualitatively different assessment practices. The paper concludes with discussing theoretical implications of these assessment profiles and indications these profiles can offer both for designing material for professional development in classroom assessment and for evaluating changes in teachers' classroom assessment practice.

  16. Primary school teachers' assessment profiles in mathematics education.

    Directory of Open Access Journals (Sweden)

    Michiel Veldhuis

    Full Text Available The aim of this study was to contribute to knowledge about classroom assessment by identifying profiles of teachers' assessment of their students' understanding of mathematics. For carrying out this study we used data of a nationwide teacher survey (N = 960 in the Netherlands. The data were collected by an online questionnaire. Through exploratory factor analyses the underlying structure of what is measured by this questionnaire was uncovered as consisting of five factors: Goal centeredness of assessment, Authentic nature of assessment, Perceived usefulness of assessment, Diversity of assessment problem format, and Allocated importance of assessing skills and knowledge. By using a latent class analysis four different assessment profiles of teachers were identified: Enthusiastic assessors, Mainstream assessors, Non-enthusiastic assessors, and Alternative assessors. The findings suggest that teachers with particular assessment profiles have qualitatively different assessment practices. The paper concludes with discussing theoretical implications of these assessment profiles and indications these profiles can offer both for designing material for professional development in classroom assessment and for evaluating changes in teachers' classroom assessment practice.

  17. An Exploratory Study of Taiwanese Mathematics Teachers' Conceptions of School Mathematics, School Statistics, and Their Differences (United States)

    Yang, Kai-Lin


    This study used phenomenography, a qualitative method, to investigate Taiwanese mathematics teachers' conceptions of school mathematics, school statistics, and their differences. To collect data, we interviewed five mathematics teachers by open questions. They also responded to statements drawn on mathematical/statistical conceptions and…

  18. Does the sex of the mathematics teacher make a difference in a single-sex setting? A case for girls


    Wallace, Jenna Lee


    In Australia, girls continue to be outperformed by boys on large scale mathematics tests. One explanation provided in the literature for this gender gap is the interaction between teacher and student in the classroom. This study was inspired by the persistent patterns of gender differences in mathematics achievement favouring boys at the participating school, a large independent school in Victoria, Australia. In this study, the aim was to determine whether the sex of the mathematics teacher h...

  19. Developing teaching material based on realistic mathematics andoriented to the mathematical reasoning and mathematical communication

    Directory of Open Access Journals (Sweden)

    Fitria Habsah


    Full Text Available This research aims to produce mathematics textbook for grade VII junior high school students based on realistic mathematics and oriented to the mathematical reasoning and mathematical communication. The quality is determined based on Nieveen criteria, including validity, practicality, and effectiveness.This study was a research and development and used Borg & Gall model. The subject of this research were the students of SMPN 2 Pujon-Kabupaten Malang, that is 30 students in an experimental class (using the developed textbook and 29 students in a control class (using BSE book from the government. The teaching material was categorized valid if the expert's judgment at least is categorized as “good”. The teaching material was categorized practical if both of teachers and students assessment at least categorized as “good”. The teaching material was categorized effectively if minimum 75% of student scores at least is categorized as “good” for the mathematical reasoning test and mathematical communication test. This research resulted in a valid, practical, and effective teaching material. The resulted of the validation show that material teaching is valid. The resulted of teachers and students assessment show that the product is practical. The tests scores show that the product is effective. Percentage of students who categorized at least as “good” is 83,33% for the mathematical reasoning and 86,67% for the mathematical communication. The resulted of statistic test shows that the product more effective than the BSE book from the government in terms of mathematical reasoning and mathematical communication.

  20. Helping all Students Become Einstein’s using Bibliotherapy when Teaching Mathematics to Prepare Students for a STEM World

    Directory of Open Access Journals (Sweden)

    Joseph M. Furner


    Full Text Available Today, being confident and having a sound understanding of mathematics is critical in an age of STEM.Teachers must play in important role in seeing that all students display their confidence in their ability to domathematics. This paper explains the process of using bibliotherapy when teaching mathematics to addressboth the math anxious or the math gifted student to build more math confidence in a STEM world. Oftengifted students of mathematics can be made to feel bad by their peers just because they know mathematicsand things come easy to them. Today there are many students in school that have math anxiety. Children'sand adolescent literature has been recognized now as a means to teaching mathematics to students throughthe use of stories to make the mathematics concepts relevant and meaningful. Literature can also be usedas a form of therapy, bibliotherapy, to reach students who may be frustrated with children picking on themfor knowing a lot of mathematics or who are math anxious. Story and picture books such as Counting onFrank, Math Curse and A Gebra Named Al are now available to use in the classroom as forms of bibliotherapyin helping students come to terms with issues that haunt them as it relates to mathematics. Children's bookscan be beneficial to address the math anxious and even the gifted. In this paper the author proposes usingreading and discussion (bibliotherapy to help all students become confident in mathematics in the STEMworld we live in.

  1. Pre-Service Elementary Teachers' Mathematics Content Knowledge: A Predictor of Sixth Graders' Mathematics Performance (United States)

    Shirvani, Hosin


    This study examined the knowledge of mathematics content of elementary pre-service teachers at a sixth grade level. The researcher administered a mathematics test for sixth graders mandated by the Texas Education Agency to pre-service teachers; the same test was given to sixth graders in Texas. The study found that pre-service teachers performed…

  2. Metaphor Perceptions of Pre-Service Teachers towards Mathematics and Mathematics Education in Preschool Education (United States)

    Keles, Oguz; Tas, Isil; Aslan, Durmus


    The aim of this study was to identify the thoughts of pre-service teachers, who play an important role in the early preschool experience of children in mathematics, towards the concepts of mathematics and education of mathematics with the help of metaphors. The study group of the research consists of a total of 227 pre-service teachers at the…

  3. Teacher Judgment, Student Motivation, and the Mediating Effect of Attributions (United States)

    Zhou, Ji; Urhahne, Detlef


    Based on Weiner's attributional theory of intrapersonal motivation, the mediating effect of attributions between teacher judgment and student motivation was examined. In two studies, 144 German and 272 Chinese fourth-grade elementary school students were tested on their mathematical achievement, causal ascriptions for success and failure,…

  4. Students with ‘Special Rights' for mathematics education

    DEFF Research Database (Denmark)

    Lindenskov, Lena; Gervasoni, Ann


    The issues of equity and quality have been central to international debates on mathematics in research, policy, curriculum and teaching. This book covers a wide variety of topics in the research and practice of mathematics education, demonstrating how equity and quality are inherently political...... equity and quality within various educational contexts and with a variety of marginalized populations. Written by teachers, researchers and academics from all over the world, this book represents a powerful response to the international call for quality education of all students in mathematics around...... terms whose political bedrock is obscured by them being taken for granted. Mapping Equity and Quality in Mathematics Education is broken into four parts. Section 1 addresses the constructs of equity and quality from a variety of theoretical perspectives and outlines new directions to approach...

  5. Factors Predicting Mathematics Achievement of 8th Graders in TIMSS 2015

    Directory of Open Access Journals (Sweden)

    Mehmet Hayri SARI


    Full Text Available In the study, it is aimed to investigate the student, teacher and school factors predicting mathematics achievement of Turkish 8th grade students in TIMSS 2015. The group of the study consists of 6079 students and 220 teachers who attended TIMSS from Turkey. The data of the study was obtained from student and teacher questionnaires and mathematics cognitive test scores. In the data analysis, multilevel regression analysis was used in which dependent variables were plausible mathematics scores and independent variables were student, teacher and school scale scores. According to results, 34% percent of student-level variance was explained by student-level variables. It was found that self-confidence level of students was the most important predictor of mathematics achievement among student-level variables. Additionally, educational resources at home variable was also among the important predictors of mathematics achievement. Teacher and school factors explained 29% of between school variance. Among these variables, school emphasis on academic success and teaching limited by student needs were two significant variables that could predict mathematics achievement of students.

  6. Meeting in mathematics

    DEFF Research Database (Denmark)

    Mogensen, Arne; Georgiev, Vladimir; Ulovec, Andreas

    To encourage many more young people to appreciate the real nature and spirit of mathematics and possibly to be enrolled in mathematics study it is important to involve them in doing mathematics (not just learning about mathematics). This goal could be achieved if mathematics teachers are prepared...... to identify and work with mathematically gifted students (without loosing the rest). The book offers chapters on gifted students, mathematical competences and other issues....

  7. Mathematics Teachers' Capacity for Change (United States)

    Golding, Jennie


    Mathematics teachers across the Western world are faced with an expectation that they make significant change to their teaching, but repeated attempts have shown little embedded success. This paper draws on a longitudinal study of two apparently well-placed English mathematics departments attempting to make change aligned with both policy and…

  8. Teacher-student relationship climate and school outcomes: implications for educational policy initiatives. (United States)

    Barile, John P; Donohue, Dana K; Anthony, Elizabeth R; Baker, Andrew M; Weaver, Scott R; Henrich, Christopher C


    In recent discussions regarding concerns about the academic achievement of US students, educational policy makers have suggested the implementation of certain teacher policies. To address the limited empirical research on the putative educational impact of such policies, this study used multilevel structural equation models to investigate the longitudinal associations between teacher evaluation and reward policies, and student mathematics achievement and dropout with a national sample of students (n = 7,779) attending one of 431 public high schools. The student sample included an equal number of boys and girls averaging 16 years of age, and included a White (53%) majority. This study examined whether associations between teacher policies and student achievement were mediated by the teacher-student relationship climate. Results of this study were threefold. First, teacher evaluation policies that allowed students to evaluate their teachers were associated with more positive student reports of the classroom teaching climate. Second, schools with teacher reward policies that included assigning higher performing teachers with higher performing students had a negative association with student perceptions of the teaching climate. Lastly, schools with better student perceptions of the teaching climate were associated with lower student dropout rates by students' senior year. These findings are discussed in light of their educational policy implications.

  9. Students' Perceptions of Emotional and Instrumental Teacher Support: Relations with Motivational and Emotional Responses (United States)

    Federici, Roger A.; Skaalvik, Einar M.


    We explored whether students' perceptions of emotional and instrumental support provided by their mathematics teacher constitute separate dimensions of teacher support and how they are related. We also analyzed how students' perceptions of emotional and instrumental support in math lessons relate to math anxiety, intrinsic motivation, help-seeking…

  10. Making Sense of Mathematics (United States)

    Umphrey, Jan


    The National Council of Teachers of Mathematics (NCTM) is a voice and advocate for mathematics educators, working to ensure that all students receive equitable mathematics learning of the highest quality. To help teachers and school leaders understand the Common Core State Standards for Mathematics (CCSSM) and to point out how the CCSSM can be…

  11. The Effects of Modern Mathematics Computer Games on Mathematics Achievement and Class Motivation (United States)

    Kebritchi, Mansureh; Hirumi, Atsusi; Bai, Haiyan


    This study examined the effects of a computer game on students' mathematics achievement and motivation, and the role of prior mathematics knowledge, computer skill, and English language skill on their achievement and motivation as they played the game. A total of 193 students and 10 teachers participated in this study. The teachers were randomly…

  12. Using Video Analysis to Support Prospective K-8 Teachers' Noticing of Students' Multiple Mathematical Knowledge Bases (United States)

    Roth McDuffie, Amy; Foote, Mary Q.; Bolson, Catherine; Turner, Erin E.; Aguirre, Julia M.; Bartell, Tonya Gau; Drake, Corey; Land, Tonia


    As part of a larger research project aimed at transforming preK-8 mathematics teacher preparation, the purpose of this study was to examine the extent to which prospective teachers notice children's competencies related to children's mathematical thinking, and children's community, cultural, and linguistic funds of knowledge or what…

  13. A Framework for Teachers' Knowledge of Mathematical Reasoning (United States)

    Herbert, Sandra


    Exploring and developing primary teachers' understanding of mathematical reasoning was the focus of the "Mathematical Reasoning Professional Learning Research Program." Twenty-four primary teachers were interviewed after engagement in the first stage of the program incorporating demonstration lessons focused on reasoning conducted in…

  14. Students discussing their mathematical ideas: Group-tests and mind-maps

    NARCIS (Netherlands)

    Pijls, M.; de Kramer, D.; Maj, B.; Pytlak, M.; Swoboda, E.


    In an explorative research project, teachers experimented with new ideas to make their students discuss (i.e. show, explain, justify and reconstruct their work) their mathematical ideas with each other. Two kind of special tasks were developed: group tests and mind maps. Also, the role of the

  15. Promoting Student Collaboration in a Detracked, Heterogeneous Secondary Mathematics Classroom (United States)

    Staples, Megan E.


    Detracking and heterogeneous groupwork are two educational practices that have been shown to have promise for affording all students needed learning opportunities to develop mathematical proficiency. However, teachers face significant pedagogical challenges in organizing productive groupwork in these settings. This study offers an analysis of one…

  16. Teacher Interviews, Student Interviews, and Classroom Observations in Combinatorics: Four Analyses (United States)

    Caddle, Mary C.


    This research consists of teacher interviews, student interviews, and classroom observations, all based around the mathematical content area of combinatorics. Combinatorics is a part of discrete mathematics concerning the ordering and grouping of distinct elements. The data are used in four separate analyses. The first provides evidence that…

  17. How special are teachers of specialized schools? : a quantitative investigation of Turkish mathematics teachers' self-confidence levels in the technology domain


    Çatma, Zehra


    Ankara : The Program of Curriculum and Instruction, Bilkent University, 2013. Thesis (Master's) -- Bilkent University, 2013. Includes bibliographical refences. The purpose of the current study was to investigate whether specialized high school mathematics teachers, who were selected to educate selected students, were mentally ready to integrate Fatih project technologies into their teaching. The sample consisted of 40 teachers, who voluntarily participated the study and work...

  18. Mathematics University Teachers' Perception of Pedagogical Content Knowledge (PCK) (United States)

    Khakbaz, Azimehsadat


    Teaching mathematics in university levels is one of the most important fields of research in the area of mathematics education. Nevertheless, there is little information about teaching knowledge of mathematics university teachers. Pedagogical content knowledge (PCK) provides a suitable framework to study knowledge of teachers. The purpose of this…

  19. Understanding in mathematics

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    Sierpinska, Anna


    The concept of understanding in mathematics with regard to mathematics education is considered in this volume, the main problem for mathematics teachers being how to facilitate their students'' understanding of the mathematics being taught.

  20. Technological pedagogical content knowledge of junior high school mathematics teachers in teaching linear equation (United States)

    Wati, S.; Fitriana, L.; Mardiyana


    Linear equation is one of the topics in mathematics that are considered difficult. Student difficulties of understanding linear equation can be caused by lack of understanding this concept and the way of teachers teach. TPACK is a way to understand the complex relationships between teaching and content taught through the use of specific teaching approaches and supported by the right technology tools. This study aims to identify TPACK of junior high school mathematics teachers in teaching linear equation. The method used in the study was descriptive. In the first phase, a survey using a questionnaire was carried out on 45 junior high school mathematics teachers in teaching linear equation. While in the second phase, the interview involved three teachers. The analysis of data used were quantitative and qualitative technique. The result PCK revealed teachers emphasized developing procedural and conceptual knowledge through reliance on traditional in teaching linear equation. The result of TPK revealed teachers’ lower capacity to deal with the general information and communications technologies goals across the curriculum in teaching linear equation. The result indicated that PowerPoint constitutes TCK modal technological capability in teaching linear equation. The result of TPACK seems to suggest a low standard in teachers’ technological skills across a variety of mathematics education goals in teaching linear equation. This means that the ability of teachers’ TPACK in teaching linear equation still needs to be improved.

  1. Developing Understanding of Mathematical Modeling in Secondary Teacher Preparation (United States)

    Anhalt, Cynthia Oropesa; Cortez, Ricardo


    This study examines the evolution of 11 prospective teachers' understanding of mathematical modeling through the implementation of a modeling module within a curriculum course in a secondary teacher preparation program. While the prospective teachers had not previously taken a course on mathematical modeling, they will be expected to include…

  2. A Preservice Mathematics Teacher's Beliefs about Teaching Mathematics with Technology (United States)

    Belbase, Shashidhar


    This paper analyzed a preservice mathematics teacher's beliefs about teaching mathematics with technology. The researcher used five semi-structured task-based interviews in the problematic contexts of teaching fraction multiplications with JavaBars, functions and limits, and geometric transformations with Geometer's Sketchpad, and statistical data…

  3. Investigating Alignment between Elementary Mathematics Teacher Education and Graduates' Teaching of Mathematics for Conceptual Understanding (United States)

    Jansen, Amanda; Berk, Dawn; Meikle, Erin


    In this article, Amanda Jansen, Dawn Berk, and Erin Meikle investigate the impact of mathematics teacher education on teaching practices. In their study they interviewed six first-year teachers who graduated from the same elementary teacher education program and who were oriented toward teaching mathematics conceptually. They observed each teacher…

  4. Mathematical Investigations for Supporting Pre-Service Primary Teachers Repeating a Mathematics Education Course (United States)

    Bailey, Judy


    Preparing to become an effective primary school mathematics teacher is a challenging and complex task; and is influenced by one's past experiences, personal knowledge of, and beliefs and attitudes towards mathematics. This paper examines the experiences of a small group of pre-service teachers who did not pass their first year mathematics…

  5. Preservice Elementary Teachers' Mathematics Content Knowledge and Teacher Efficacy (United States)

    Newton, Kristie Jones; Leonard, Jacqueline; Evans, Brian R.; Eastburn, Julie A.


    The purpose of this study was to examine the relationship between mathematics content knowledge and teacher efficacy during an elementary mathematics methods course. A positive moderate relationship between content knowledge and personal teaching efficacy was found, and this relationship was stable during the course. No relationship was found…

  6. Salient Beliefs of Secondary School Mathematics Teachers Using Dynamic Geometry Software (United States)

    Chan, Kan Kan


    Even though dynamic geometry software (DGS) is becoming an emergent instructional tool for mathematics teachers, many teachers are still in the process of consideration about whether to use it. In order to encourage teachers to use DGS, this study seeks to discover mathematics teachers' salient beliefs about the use of DGS in mathematics class.…

  7. Pre-Service Accounting Teachers' Attitudes to Mathematics (United States)

    Mkhize, Msizi Vitalis; Maistry, Suriamurthee Moonsamy


    Mathematics proficiency has an acknowledged impact on students' accounting grades. Success in this core business subject is dependent on students' mathematical aptitude, attitude and type of secondary schooling. Our study investigated accounting students' attitudes to mathematics on domains of the Fennema-Sherman Mathematics Attitudes Scales…

  8. The enhancement of students' mathematical problem solving ability through teaching with metacognitive scaffolding approach (United States)

    Prabawanto, Sufyani


    This research aims to investigate the enhancement of students' mathematical problem solving through teaching with metacognitive scaffolding approach. This research used a quasi-experimental design with pretest-posttest control. The subjects were pre-service elementary school teachers in a state university in Bandung. In this study, there were two groups: experimental and control groups. The experimental group consists of 60 studentswho acquire teaching mathematicsunder metacognitive scaffolding approach, while the control group consists of 58 studentswho acquire teaching mathematicsunder direct approach. Students were classified into three categories based on the mathematical prior ability, namely high, middle, and low. Data collection instruments consist of mathematical problem solving test instruments. By usingmean difference test, two conclusions of the research:(1) there is a significant difference in the enhancement of mathematical problem solving between the students who attended the course under metacognitive scaffolding approach and students who attended the course under direct approach, and(2) thereis no significant interaction effect of teaching approaches and ability level based on the mathematical prior ability toward enhancement of students' mathematical problem solving.

  9. A Phenomenological Research Study of the Experience of Teachers in the Virgin Islands Teacher Enhancement in Mathematics and Science Project (United States)

    Thurland, Karen C.

    The purpose of conducting this study was to describe the experience of elementary teachers in a mathematics and science staff development project in the U.S. Virgin Islands. The focus of this study was to describe the meaning teachers attribute to their experience in this three year project, in which many of the national mathematics and science reform efforts were implemented. A phenomenological approach was used in order to develop a complete picture of the teachers' experiences. Data collection consisted of interviews with seven elementary teachers. The data were subjective descriptions of the teachers pertaining to the initial summer institute, the follow-up sessions, and the new innovative methods. The transcendental phenomenological model was used. The textural and structural themes included enhanced learning and changes in teaching practice, and interactions with colleagues. From these themes, individual and composite textual descriptions of the experience of the teacher participants were developed. The synthesis of those descriptions illuminated the meanings and essence of their lived experience. The findings indicate that the essence of the experience was the development of a positive attitude towards the teaching of math and science. The teachers gained confidence in their ability to motivate students with the inquiry method and taught more math and science. The implications for the Virgin Islands Department of Education include establishing a partnership with the local university to offer staff development training in mathematics and science and to conduct evaluations of its training efforts.

  10. Technological pedagogical content knowledge and teaching practice of mathematics trainee teachers (United States)

    Tajudin, Nor'ain Mohd.; Kadir, Noor Zarinawaty Abd.


    This study aims to identify the level of technological pedagogical content knowledge (TPCK) of mathematics trainee teachers at Universiti Pendidikan Sultan Idris (UPSI) and explore their teaching practices during practical training at school. The study was conducted in two phases using a mix-method research. In the first phase, a survey method using a questionnaire was carried out on 156 trainee teachers of Bachelor of Mathematics Education (AT14) and Bachelor of Science (Mathematics) with Education (AT48). The instrument used was a questionnaire that measures the level of content knowledge, pedagogy, technology and TPCK of mathematics. Data were analyzed using descriptive statistics, namely the mean. While in the second phase, the interview method involved four trainee teachers were performed. The instrument used was the semi-structured interview protocol to assess the trainee teacher's TPCK integration in their teaching practice. Data were analyzed using the content analysis. The findings showed that the level of knowledge of TPCK among trainee teachers was moderate with overall mean score of 3.60. This level did not show significant differences between the two programs with mean scores of 3.601 for the AT14 group and 3.603 for the AT48 group. However, there was a difference for gender classification such that the female trainees had mean score of 3.58 and male trainees with mean score of 3.72. Although students' TPCK level was moderate, the level of content knowledge (CK), technological knowledge (TK) and pedagogical knowledge (PK), showed a higher level with overall mean scores of 3.75, 3.87 and 3.84 respectively. The findings also showed that in terms of content knowledge, trainee teacher's learning mathematics background was good, but the knowledge of mathematics was limited in the curriculum, philosophy and application aspect. In terms of pedagogical content knowledge, all respondents tend to use lecture and discussion methods in teaching Trigonometry topic

  11. The role of local theories: teacher knowledge and its impact on engaging students with challenging tasks (United States)

    Choppin, Jeffrey


    This study explores the extent to which a teacher elicited students' mathematical reasoning through the use of challenging tasks and the role her knowledge played in doing so. I characterised the teacher's knowledge in terms of a local theory of instruction, a form of pedagogical content knowledge that involves an empirically tested set of conjectures situated within a mathematical domain. Video data were collected and analysed and used to stimulate the teacher's reflection on her enactments of an instructional sequence. The teacher, chosen for how she consistently elicited student reasoning, showed evidence of possessing a local theory in that she articulated the ways student thinking developed over time, the processes by which that thinking developed, and the resources that facilitated the development of student thinking. Her knowledge informed how she revised and enacted challenging tasks in ways that elicited and refined student thinking around integer addition and subtraction. Furthermore, her knowledge and practices emphasised the progressive formalisation of students' ideas as a key learning process. A key implication of this study is that teachers are able to develop robust knowledge from enacting challenging tasks, knowledge that organises how they elicit and refine student reasoning from those tasks.

  12. The Measurement of Students' Achievement in Teaching Primary School Fifth Year Mathematics Classes (United States)

    Doganay, Ahmet; Bal, Ayten Pinar


    The aim of this study was to investigate students' and teachers' point of views about preparing measurement tools used in mathematics classes, the level of learning that these tools are intended to measure, how often they are used and how they are scored in terms of assessing 5th grade primary school mathematic courses. The population of the study…

  13. Effects of mathematics computer games on special education students' multiplicative reasoning ability

    NARCIS (Netherlands)

    Bakker, M.; Heuvel-Panhuizen, M.H.A.M. van den; Robitzsch, A.


    This study examined the effects of a teacher-delivered intervention with online mathematics mini-games on special education students' multiplicative reasoning ability (multiplication and division). The games involved declarative, procedural, as well as conceptual knowledge of multiplicative

  14. Pre-service mathematics student teachers’ conceptions of nominal and effective interest rates

    Directory of Open Access Journals (Sweden)

    Judah P. Makonye


    Full Text Available The general public consumes financial products such as loans that are administered in the realm of nominal and effective interest rates. It is debatable if most consumers really understand how these rates function. This article explores the conceptions that student teachers have about nominal and effective interest rates. The APOS theory illuminates analysis of students’ levels of conception. Seventy second-year mathematics students’ responses to Grade 12 tasks on effective and nominal interest rates were analysed, after which 12 students were interviewed about their mathematical thinking in solving the tasks. The findings varied. While some students could not do the tasks due to erratic use of formulae (algebra, I ascertained that some students obtained correct answers through scrupulous adherence to the external prompt of formulae. Most of those students remained stuck at the action and process stages and could not view their processes as mathematical objects. A few students had reached the object and schema stages, showing mature understanding of the relationship between nominal and effective interest rates. As most students remained at the operational stages rather than the structural, the findings accentuate that when teaching this topic, teachers ought to take their time to build learners’ schema for these notions. They need to guide their learners through the necessary action-process-object loop and refrain from introducing students to formulae too soon as this stalls their advancement to the object and schema stages which are useful in making them smart consumers of financial products.

  15. Developing Instructional Design to Improve Mathematical Higher Order Thinking Skills of Students (United States)

    Apino, E.; Retnawati, H.


    This study aimed to describe the instructional design to improve the Higher Order Thinking Skills (HOTS) of students in learning mathematics. This research is design research involving teachers and students of class X MIPA 1 MAN Yigyakarta III, Special Region of Yogyakarta, Indonesia. Data collected through focus group discussions and tests. Data analyzed by quantitative descriptive. The results showed that the instructional design developed is effective to improving students’ HOTS in learning mathematics. Instructional design developed generally include three main components: (1) involve students in the activities non-routine problem solving; (2) facilitating students to develop the ability to analyze and evaluate (critical thinking) and the ability to create (creative thinking); and (3) encourage students to construct their own knowledge.

  16. Psychometric properties of the Turkish adaptation of the Mathematics Teacher Efficacy Belief Instrument for in-service teachers. (United States)

    Cetinkaya, Bulent; Erbas, Ayhan Kursat


    Teaching efficacy beliefs have attracted researchers' attention in recent decades because of its close association with and potential impact on the implementation of new ideas and skills in education. In the present study, we have explored the psychometric properties and construct validity of the Turkish adaptation of the Mathematics Teacher Efficacy Belief Instrument developed by Enochs, Smith, & Huinker (2000) for in-service mathematics teachers. The instrument distinguishes between two dimensions of efficacy beliefs for mathematics teachers: personal mathematics teaching efficacy and mathematics teaching outcome expectancy. The sample consisted of 1355 in-service elementary school teachers and middle school mathematics teachers from 368 schools. Exploratory and confirmatory factor analysis revealed a two-factor structure similar to that found in other studies. Also, scores from the two subscales indicated acceptable internal consistency.

  17. Effectiveness of Kem Kembara-i on improving the interests of students in mathematical sciences (United States)

    Majid, Noriza; Rambely, Azmin Sham; Razman, Nini Nabila bt


    Mathematics does not only play an important role in daily life but it is also a compulsory subject that has to be learn from early stage until the highest level of study. However, various issues arise from Mathematic education especially the decline in the interest of students towards Mathematics. This study was carried out to study the level of interest of the students towards Mathematics and the factors that affect the level of their interest. In addition, this study also aims to determine the best approach to help improve students' interest in Mathematics and to study the effectiveness of Kem Kembara-i organized by School of Mathematical Science (PPSM) UKM. A total of 553 respondents from twenty secondary schools around Malaysia attended this camp. Questionnaire has been used as an instrument in this study and Likert scale was used in this questionnaire. The finding shows that most of the students who participated in this camp were interested in Mathematics and the factors that affect their level of interest are such as the parents, peers, teachers and attitude. Recreational approach is the best approach in increasing the interest of students towards Mathematics and the results show that almost all of the activities in this camp, managed to attract the interest of students towards Mathematics. Therefore, it is concluded that this camp is effective in forming positive attitudes toward Mathematics.

  18. Characterizing and Facilitating Prospective Teachers' Engagement with Student Thinking about Fractions (United States)

    Baker, Katherine


    Reform-based mathematics instruction emphasizes that mathematics is learned through reasoning and sense-making rather than strict memorization and is taught through facilitation rather than telling (NCTM, 1989, 1991, 1995, 2000). Teachers' engagement with student thinking to inform instruction is central to such teaching. Engagement with student…

  19. Mathematics education for social justice (United States)



    Mathematics often perceived as a difficult subject with many students failing to understand why they learn mathematics. This situation has been further aggravated by the teaching and learning processes used, which is mechanistic without considering students' needs. The learning of mathematics tends to be just a compulsory subject, in which all students have to attend its classes. Social justice framework facilitates individuals or groups as a whole and provides equitable approaches to achieving equitable outcomes by recognising disadvantage. Applying social justice principles in educational context is related to how the teachers treat their students, dictates that all students the right to equal treatment regardless of their background and completed with applying social justice issues integrated with the content of the subject in order to internalise the principles of social justice simultaneously the concepts of the subject. The study examined the usefulness of implementing the social justice framework as a means of improving the quality of mathematics teaching in Indonesia involved four teacher-participants and their mathematics classes. The study used action research as the research methodology in which the teachers implemented and evaluated their use of social justice framework in their teaching. The data were collected using multiple research methods while analysis and interpretation of the data were carried out throughout the study. The findings of the study indicated that there were a number of challengesrelated to the implementation of the social justice framework. The findings also indicated that, the teachers were provided with a comprehensive guide that they could draw on to make decisions about how they could improve their lessons. The interactions among students and between the teachers and the students improved, they became more involved in teaching and learning process. Using social justice framework helped the teachers to make mathematics more

  20. Investigation of Mathematics Teachers Conceptualisation of the Spiritual, Moral, Social and Cultural Role of Mathematics (United States)

    Agashi, Pius P.; Enemali, I. A.


    The study sought to investigate mathematics teachers' conceptualization of the spiritual, moral social and cultural (SMSC) role of mathematics in Ankpa Education Zone of Kogi State. It used a purposive sample of all the 82 mathematics teachers in the zone comprising of 64 male and 18 female. The instrument used for the study was SMSC Role of…

  1. Pre-service accounting teachers' attitudes to mathematics


    Mkhize, Msizi Vitalis; Maistry, Suriamurthee Moonsamy


    Mathematics proficiency has an acknowledged impact on students' accounting grades. Success in this core business subject is dependent on students' mathematical aptitude, attitude and type of secondary schooling. Our study investigated accounting students' attitudes to mathematics on domains of the Fennema-Sherman Mathematics Attitudes Scales (F-SMAS) and identified demographic variables in overall attitudes to mathematics, which are pertinent to higher education pedagogy for accountancy. Eigh...

  2. Understanding Prospective Teachers' Mathematical Modeling Processes in the Context of a Mathematical Modeling Course (United States)

    Zeytun, Aysel Sen; Cetinkaya, Bulent; Erbas, Ayhan Kursat


    This paper investigates how prospective teachers develop mathematical models while they engage in modeling tasks. The study was conducted in an undergraduate elective course aiming to improve prospective teachers' mathematical modeling abilities, while enhancing their pedagogical knowledge for the integrating of modeling tasks into their future…

  3. Antecedents of Teachers' Educational Beliefs about Mathematics and Mathematical Knowledge for Teaching among In-Service Teachers in High Poverty Urban Schools (United States)

    Corkin, Danya M.; Ekmekci, Adem; Papakonstantinou, Anne


    This paper examines the antecedents of three types of educational beliefs about mathematics among 151 teachers predominantly working in high poverty schools. Studies across various countries have found that teachers in high poverty schools are less likely to enact instructional approaches that align with mathematics reform standards set by…

  4. Teacher characteristics and student performance: An analysis using hierarchical linear modelling

    Directory of Open Access Journals (Sweden)

    Paula Armstrong


    Full Text Available This research makes use of hierarchical linear modelling to investigate which teacher characteristics are significantly associated with student performance. Using data from the SACMEQ III study of 2007, an interesting and potentially important finding is that younger teachers are better able to improve the mean mathematics performance of their students. Furthermore, younger teachers themselves perform better on subject tests than do their older counterparts. Identical models are run for Sub Saharan countries bordering on South Africa, as well for Kenya and the strong relationship between teacher age and student performance is not observed. Similarly, the model is run for South Africa using data from SACMEQ II (conducted in 2002 and the relationship between teacher age and student performance is also not observed. It must be noted that South African teachers were not tested in SACMEQ II so it was not possible to observe differences in subject knowledge amongst teachers in different cohorts and it was not possible to control for teachers’ level of subject knowledge when observing the relationship between teacher age and student performance. Changes in teacher education in the late 1990s and early 2000s may explain the differences in the performance of younger teachers relative to their older counterparts observed in the later dataset.

  5. A Quantitative Correlational Study of Teacher Preparation Program on Student Achievement (United States)

    Dingman, Jacob Blackstone


    The purpose of this quantitative correlational study was to identify the relationship between the type of teacher preparation program and student performance on the seventh and eighth grade mathematics state assessments in rural school settings. The study included a survey of a convenience sample of 36 teachers from Colorado and Washington school…

  6. Mathematics related anxiety: Mathematics bogeyman or not?

    Directory of Open Access Journals (Sweden)

    Videnović Marina


    Full Text Available Data of the PISA 2003 survey indicate high levels of mathematics anxiety of students in Serbia. More than half of our students worry whether they will have difficulties in mathematics class or whether they will earn poor marks. Aims of this study therefore are: examining relationship between math anxiety and achievement at mathematics literacy scale; establishing possible predictors of math anxiety and identification of students' groups in relations to their relationship towards mathematics as a subject. Mathematics anxiety is statistically negatively correlated with school achievement and achievement at mathematics literacy scale. Socio-demographic factors, motivational and cognitive aspects related to learning mathematics, perception of school and classroom climate explain 40% variance of mathematics anxiety. Based on students' relationship towards mathematics they cam be divided into three groups; while dimensions that apart them are uninterested-interested in mathematics and presence-absence of anxiety. The group displaying anxiety scores lowest among the three. Applying qualitative analysis students' and teachers' attitudes on specific issues related to teaching and learning mathematics was examined.

  7. Supporting students' strategic competence: a case of a sixth-grade mathematics classroom (United States)

    Özdemir, İ. Elif Yetkin; Pape, Stephen J.


    Mathematics education research has documented several classroom practices that might influence student self-regulation. We know little, however, about the ways these classroom practices could be structured in real classroom settings. In this exploratory case study, we purposefully selected a sixth-grade mathematics teacher who had participated in a professional development program focussed on NCTM standards and SRL in the mathematics classroom for extensive classroom observation. The purpose was to explore how and to what extend she structured classroom practices to support strategic competence in her students. Four features of classroom practices were found as evidence for how strategic competence was potentially supported in this classroom: (a) allowing autonomy and shared responsibility during the early stages of learning, (b) focusing on student understanding, (c) creating contexts for students to learn about strategic learning and to exercise strategic behaviour, and (d) helping students to personalise strategies by recognising their ideas and strategic behaviours.

  8. The affordances of using a flipped classroom approach in the teaching of mathematics: a case study of a grade 10 mathematics class (United States)

    Muir, Tracey; Geiger, Vince


    Teaching secondary mathematics has a number of challenges, including the expectations that teachers cover the prescribed curriculum, help students learn difficult concepts, prepare students for future studies, and, increasingly, that they do so incorporating digital technologies. This study investigates a teacher's, and his students', perceptions of the benefits or otherwise of a flipped classroom approach in meeting these challenges, within a prescribed curriculum context. Data collection instruments included a survey designed to investigate the nature of students' engagement with the flipped approach and semi-structured student and teacher interviews. Analysis of these data indicated that the teacher and students were positive about their experiences with a flipped classroom approach and that students were motivated to engage with the teacher-created online mathematics resources. The study adds to the limited research literature related to student and teacher perceptions of the affordances of the flipped classroom approach and has implications for secondary mathematics teachers who face the challenge of the twin demands of covering the prescribed curriculum and catering for a range of students' learning needs.

  9. Shifting Preservice Teachers' Beliefs and Understandings to Support Pedagogical Change in Mathematics (United States)

    Letwinsky, Karim Medico; Cavender, Monica


    Many preservice teacher (PST) programs throughout the world are preparing students to implement the Core Standards, which require deeper conceptual understandings of mathematics and an informed approach for teaching. In this qualitative multi-case study, researchers explored the teaching methods for two university instructors and changes in PSTs…

  10. School and teacher factors associated with frequency of ICT use by mathematics teachers: country comparisons

    NARCIS (Netherlands)

    Pelgrum, W.J.; Voogt, Joke


    This paper explores school and teacher factors that are associated with the frequency of use of ICT by mathematics teachers. The SITES 2006 data base was used to compare countries with a relative high percentage of frequently ICT-using mathematics teachers (HIMA countries) with countries with a

  11. Influences on Mathematical Preparation of Secondary School Teachers of Mathematics. (United States)

    Johnson, Carl S.; Byars, Jackson A.

    The results of a survey related to the impact of various recommendations on preservice content programs for teachers of mathematics are reported. The content of current programs is compared to the recommendations of the Committee on Undergraduate Programs in Mathematics (CUPM). The acceptance of CUPM and the Cambridge Conference on School…

  12. Exploring Turkish Mathematics Teachers' Content Knowledge of Quadrilaterals (United States)

    Butuner, Suphi Onder; Filiz, Mehmet


    The aim of this research was to examine mathematics teachers' performances in defining special types of quadrilaterals, identifying their family and hierarchically classifying them. In this vein, 33 of 58 primary school mathematics teachers working in the province of Yozgat, Turkey were voluntarily recruited for this survey, and they were asked to…

  13. Mathematical thinking styles of undergraduate students and their achievement in mathematics (United States)



    The main purpose of this study is to analyze the role of mathematical thinking styles in students' achievement in mathematics. On the basis of this study, it is also to generate recommendation for classroom instruction. The two specific aims are; first to observe students' mathematical thinking styles during problem solving, the second to asses students' achievement in mathematics. The data were collected by using Mathematical Thinking Styles questionnaires and test of students' achievement in mathematics. The subject in this study was 35 students from third year at mathematics study program of Muhammadiyah University of Bengkulu in academic year 2016/2017. The result of this study was that the students have three mathematical thinking styles (analytic, visual, and integrated), and the students who have analytic styles have better achievement than those who have visual styles in mathematics.

  14. Master teachers' responses to twenty literacy and science/mathematics practices in deaf education. (United States)

    Easterbrooks, Susan R; Stephenson, Brenda; Mertens, Donna


    Under a grant to improve outcomes for students who are deaf or hard of hearing awarded to the Association of College Educators--Deaf/Hard of Hearing, a team identified content that all teachers of students who are deaf and hard of hearing must understand and be able to teach. Also identified were 20 practices associated with content standards (10 each, literacy and science/mathematics). Thirty-seven master teachers identified by grant agents rated the practices on a Likert-type scale indicating the maximum benefit of each practice and maximum likelihood that they would use the practice, yielding a likelihood-impact analysis. The teachers showed strong agreement on the benefits and likelihood of use of the rated practices. Concerns about implementation of many of the practices related to time constraints and mixed-ability classrooms were themes of the reviews. Actions for teacher preparation programs were recommended.

  15. Opportunity to learn first year mathematics in teacher training ...

    African Journals Online (AJOL)

    African Journal of Educational Studies in Mathematics and Sciences ... topics in the first year teacher training mathematics syllabus were not taught by the end ... that the teacher training college tutors make efforts to complete the PS1 syllabus.

  16. Student perceptions of drill-and-practice mathematics software in primary education (United States)

    Kuiper, Els; de Pater-Sneep, Martie


    Drill-and-practice mathematics software offers teachers a relatively simple way to use technology in the classroom. One of the reasons to use the software may be that it motivates children, working on the computer being more "fun" than doing regular school work. However, students' own perceptions of such software are seldom studied. This article reports on a study on the opinions of Grade 5 and 6 students regarding two mathematics drill-and-practice software packages. In total, 329 students from ten Dutch primary schools took part in the study. The results show that a majority of the students preferred to work in their exercise book, for various reasons. Especially the rigid structure of the software is mentioned as a negative aspect by students. The elaborate arguments students used illustrate the importance of taking their opinions into account already at the primary level. Students' perceptions also show that the idea of ICT as naturally motivating for students may need modification.

  17. The Effect of Teacher and Student Characteristics on TIMSS 2011 Mathematics Achievement of Fourth- and Eighth-Grade Students in Turkey (United States)

    Yalcin, Seher; Demirtasli, Rahime Nükhet; Dibek, Munevver Ilgun; Yavuz, Hatice Cigdem


    This study investigated effect of student- and school-level variables on mathematics achievement of fourth- and eighth-grade students using the Trends in International Mathematics and Science Study (TIMSS) 2011 data of Turkey. The common variables addressed in student and school questionnaires were compared. Due to nested structure of the TIMSS…

  18. Stories about Math: An Analysis of Students' Mathematical Autobiographies (United States)

    Latterell, Carmen M.; Wilson, Janelle L.


    This paper analyzes 16 preservice secondary mathematics education majors' mathematical autobiographies. Participants wrote about their previous experiences with mathematics. All participants discussed why they wanted to become mathematics teachers with the key factors being past experience with mathematics teachers, previous success in mathematics…

  19. The Opinions of Middle School Mathematics Teachers on the Integration of Mathematics Course and Social Issues

    Directory of Open Access Journals (Sweden)

    Buket Turhan Turkkan


    Full Text Available The purpose of this study is to examine the opinions of middle school mathematics teachers on the integration of mathematics course and social issues. For this purpose, qualitative research method was used in this study. As for determining the participants of the research, criterion sampling among purposeful sampling methods was used. Being a middle school mathematics teacher as an occupation was considered as a criterion for determining the participants. The participants of the research consist of 13 middle school mathematics teachers in Turkey. So as to collect the research data, the semi-structured interview form created by the researchers was used. The data analysis was performed according to the content analysis, and Nvivo 10 program was used for the analysis. As a result of this study, the themes of the situation and methods of the integration of mathematics course and social issues, the attainment of democratic values in mathematics course and the ways of its attainment, gaining awareness of social justice and equality in mathematics course and the ways of its gaining, the activities performed by teachers for social issues in mathematics course and the teachers’ suggestions for the integration of mathematics course and social issues were reached and the results were discussed within this frame.


    Directory of Open Access Journals (Sweden)

    Norudin Mansor


    Full Text Available The policy of changing the medium of instruction in the teaching of mathematics and science from Bahasa Melayu to English is an important innovation affecting teachers of mathematics and science. It poses special challenges not only for teachers who have been trained in the Malay medium but also for those trained in English. This investigation seeks to find out the achievement of students in mathematic and science subjects after considering the impact of prominent independent variables such as, the school, class and home environment, the teaching methodology and the teachers’ attitude. Analysis of the development in the state of Terengganu has been carried out by the distribution of questionnaires to teachers involved. Result of the correlation and multiple regressions indicated that all the three factors are significantly associated towards students’ achievement. However, the teaching methodology indicated a low level of moderate correlation which is believed to be the immediate issue that needed to be addressed in the new system.

  1. A Lesson Based on Student-Generated Ideas: A Practical Example Highlighting the Role of a Teacher (United States)

    Fuentes, Sarah Quebec


    The role of a teacher is different from that in traditional mathematics instruction when the implementation of a lesson is based on students' ideas. The author's experience teaching the same lesson (of the latter format) to two different classes of pre-service teachers in an elementary mathematics methods course is described. Since whole-class…

  2. Examination of Pre-Service Mathematics Teachers' Knowledge of Teaching Function Concept (United States)

    Tasdan, Berna Tataroglu; Koyunkaya, Melike Yigit


    Teaching of mathematics could be improved with teachers who have a strong mathematical knowledge and have an ability to reflect this knowledge on their teaching. Therefore, it is important to develop mathematics teachers' theoretical and pedagogical knowledge. This study was designed to examine pre-service secondary mathematics teachers' (PSMT)…

  3. Mathematical Gossip: Relevance and Context in the Mathematics Classroom (United States)

    Callingham, Rosemary


    Using mathematical gossip in the classroom allows teachers to expand their students' horizons, and provide pathways to improvement of understanding. The expansion of a simple idea into another mathematical context can enrich a student's learning. In particular it may help to bridge the gap between purely procedural approaches and a conceptual…

  4. Secondary School Mathematics Teachers’ and Students’ Views on Computer Assisted Mathematics Instruction in Turkey: Mathematica Example


    Mehmet Alper Ardıç; Tevfik İşleyen


    This study aimed at determining the secondary school mathematics teachers’ and students’ views on computer-assisted mathematics instruction (CAMI) conducted via Mathematica. Accordingly, three mathematics teachers in Adıyaman and nine 10th-grade students participated in the research. Firstly, the researchers trained the mathematics teachers in the Mathematica program, a computer algebra system (CAS) and CAMI. Then, they provided a suitable environment for teachers to practice CAMI with their ...

  5. Reaching teachers: The first step in teaching students

    Energy Technology Data Exchange (ETDEWEB)

    Berry, G.


    A 1984 American Association of the Academy of Sciences study of more than 150 successful science in-service programs developed a list of their characteristics, which included: Strong academic component in mathematics, science, and communications, focused on enrichment rather than remediation; academic subjects taught by teachers who are highly competent in the subject matter and believe that students can learn the materials; heavy emphasis on the applications of science and mathematics and careers in these fields; integrative approach to teaching that incorporates all subject areas, hands-on opportunities, and computers; multiyear involvement with students; recruitment of participants from all relevant target populations; opportunities for in-school and out-of-school learning experiences; parental involvement and development of base of community support; specific attention to removing educational inequalities related to race and gender; involvement of professionals and staff who look like the target population; development of peer support systems (involvement of a critical mass of any kind of student); evaluation, long-term follow-up, and careful data collection; and, ``mainstreaming`` -- integration of program elements supportive of women and minorities into the institutional support programs. I shall illustrate these points with ongoing teacher-support programs in progress in the Chicago area.

  6. Effects of an Additional Mathematics Content Course on Elementary Teachers' Mathematical Beliefs and Knowledge for Teaching (United States)

    Smith, Marvin E.; Swars, Susan L.; Smith, Stephanie Z.; Hart, Lynn C.; Haardorfer, Regine


    This longitudinal study examines the effects of changes in an elementary teacher preparation program on mathematics beliefs and content knowledge for teaching of two groups of prospective teachers (N = 276): (1) those who completed a program with three mathematics content courses and two mathematics methods courses and (2) those who completed a…

  7. Can improving teachers' knowledge of mathematics lead to gains in ...

    African Journals Online (AJOL)

    It is wellknown that the majority of South African learners achieve extremely poorly in Mathematics. Many claim that one of the causes of this poor attainment is teachers' weak knowledge of mathematics, and propose that improving teachers' mathematical knowledge would improve learner attainment. However, the ...

  8. Middle School Teachers' Views and Approaches to Implement Mathematical Tasks (United States)

    Yesildere-Imre, Sibel; Basturk-Sahin, Burcu Nur


    This research examines middle school mathematics teachers' views regarding implementation of mathematical tasks and their enactments. We compare their views on tasks and their implementation, and determine the causes of difference between the two using qualitative research methods. We interview sixteen middle school mathematics teachers based on…

  9. Variables Affecting Students' Intrinsic Motivation for School Mathematics: Two Empirical Studies Based on Deci and Ryan's Theory on Motivation. (United States)

    Valas, Harald; Sovik, Nils


    Effects of the controlling strategies of the mathematics teacher on student achievement, interest, and mathematics self-concept were demonstrated in a longitudinal study involving 161 seventh graders and 164 eighth graders. This empirical test of the self-determination theory of Deci and Ryan provides insight into student motivation. (SLD)


    Directory of Open Access Journals (Sweden)

    Olena V. Semenikhina


    Full Text Available The results of the pedagogical experiment to clarify the number of dynamic mathematics software, which modern math teacher should know, are described.Quantitative results of the questionnaire survey of math teachers concerning the use of DMS in the learning process are given. Thus, the preferences of the teachers are software Gran and GeoGebra, the preferences of the students are software GeoGebra and MathKit. It is noted that math teachers in determining the number of DMS, which they should know and be able to use in the future, notice 3-5 DMS and students, future math teachers, notice 5-7 DMS. Statistical processing of the results was made based on the sign test. It allowed to justify the conclusion, that the study of 5 DMS is needed, at the significance level of 0.05.

  11. Irish Mathematics Teachers' Attitudes towards Inclusion (United States)

    Whitty, Elaine; Clarke, Marie


    This paper through the theoretical framework of constructive attitude theory explores mathematics teachers' attitudes and pedagogical strategies with reference to inclusive practice. The authors argue that though teachers may have formed positive inclusive attitudes, the translation of these into practice does not always occur and poses…

  12. Preservice Secondary Teachers Perceptions of College-Level Mathematics Content Connections with the Common Core State Standards for Mathematics (United States)

    Olson, Travis A.


    Preservice Secondary Mathematics Teachers (PSMTs) were surveyed to identify if they could connect early-secondary mathematics content (Grades 7-9) in the Common Core State Standards for Mathematics (CCSSM) with mathematics content studied in content courses for certification in secondary teacher preparation programs. Respondents were asked to…

  13. Ways That Preservice Teachers Integrate Children's Literature into Mathematics Lessons (United States)

    Rogers, Rachelle Meyer; Cooper, Sandi; Nesmith, Suzanne M.; Purdum-Cassidy, Barbara


    Children's literature involving mathematics provides a common, natural context for the sharing of mathematics. To learn more about how preservice teachers included children's literature in their mathematics lessons, a study was conducted over two semesters during a required field experience component of an undergraduate teacher education program.…

  14. The discursive production of classroom mathematics (United States)

    Smith, Kim; Hodson, Elaine; Brown, Tony


    School mathematics is a function of its discursive environment where the language being used formats mathematical activity. The paper explores this theme through an extended example in which the conduct of mathematical teaching and learning is restricted by regulative educational policies. It considers how mathematics is discursively produced by student teachers within an employment-based model of teacher education in England where there is a low university input. It is argued that teacher reflections on mathematical learning and teaching within the course are patterned discursively in line with formal curriculum framings, assessment requirements and the local demands of their placement school. Both teachers and students are subject to regulative discourses that shape their actions and as a consequence this regulation influences the forms of mathematical activity that can take place. It is shown how university sessions can provide a limited critical platform from which to interrogate these restrictions and renegotiate them.

  15. Students' and teachers' cognitions about good teachers. (United States)

    Beishuizen, J J; Hof, E; van Putten, C M; Bouwmeester, S; Asscher, J J


    Good teachers have been studied ever since Plato described how Socrates taught by asking questions of his audience. Recent findings shed light on two characteristics of good teachers: their personality and their ability. However, more attention has been paid to teachers' practices and opinions than to students' views. The study reported here attempted to deepen our understanding of what students think about good teachers. Students of four age groups (7, 10, 13, and 16 years of age) and teachers from primary and secondary schools were asked to write an essay on the good teacher. The correspondence between conceptual items in the essays was investigated by determining the extent to which they were used in the same essays to describe good teachers. Correspondence analysis revealed two dimensions. The first dimension reflected the preference of students and teachers for describing the good teacher in terms of either personality or ability characteristics. The second dimension was interpreted as an orientation in the essays towards either attachment to, detachment from or commitment to school and teachers. Students and teachers were compared to establish the amount of (dis)agreement about what makes a good teacher. Primary school students described good teachers primarily as competent instructors, focusing on transfer of knowledge and skills, whereas secondary school students emphasised relational aspects of good teachers. Teachers, however, considered good teachers in the first place a matter of establishing personal relationships with their students. Consequently, primary school students and teachers disagreed about the characteristics of good teachers. In secondary education, disagreements between teachers and students were relatively small. The research method of collecting free essays and utilising correspondence analysis to represent conceptual items and groups of participants seems promising as long as a theoretical framework is available to interpret the

  16. Teacher Evaluations: A Correlation of Observed Teaching Practice and Student Achievement (United States)

    Wright, Pamela D.


    This quantitative study employed a correlational research design to examine the extent to which overall teacher evaluation scores and instructional practice domain scores relate to student achievement scores in mathematics and English language arts among 3rd grade students. This research tested the theory of instruction by Jerome Bruner as it…

  17. Performance-based classrooms: A case study of two elementary teachers of mathematics and science (United States)

    Jones, Kenneth W.

    This case study depicts how two elementary teachers develop classrooms devoted to performance-based instruction in mathematics and science. The purpose is to develop empirical evidence of classroom practices that leads to a conceptual framework about the nature of performance-based instruction. Performance-based assessment and instruction are defined from the literature to entail involving students in tasks that are complex and engaging, requiring them to apply knowledge and skills in authentic contexts. In elementary mathematics and science, such an approach emphasizes problem solving, exploration, inquiry, and reasoning. The body of the work examines teacher beliefs, curricular orientations, instructional strategies, assessment approaches, management and organizational skills, and interpersonal relationships. The focus throughout is on those aspects that foster student performance in elementary mathematics and science. The resulting framework describes five characteristics that contribute to performance-based classrooms: a caring classroom community, a connectionist learning theory, a thinking and doing curriculum, diverse opportunities for learning, and ongoing assessment, feedback, and adjustment. The conclusion analyzes factors external to the classroom that support or constrain the development of performance-based classrooms and discusses the implications for educational policy and further research.

  18. Exploring grade 3 teachers' resistance to `take up' progressive mathematics teaching roles (United States)

    Westaway, Lise; Graven, Mellony


    This article addresses the question: Why teachers of mathematics have yet to `take up' progressive roles? Drawing on the philosophy of critical realism and its methodological equivalent, social realism, we analyse interview and observation data of four grade 3 teachers, with the view to identifying the mechanisms conditioning the expression of teachers' identities. In so doing, we show how post-apartheid changes in systemic roles of teachers create contradictory tensions for teachers as these bring their own mathematical learning and teaching experiences into contradiction with the new post-apartheid roles they are mandated to enact. We examine how this contradiction, together with beliefs about mathematics, pedagogy and learners, is expressed in the teaching of grade 3 mathematics. We maintain that the complementarity between teachers' beliefs and old systemic roles provides an explanation for why teachers of grade 3 mathematics have yet to `take-up' progressive roles. The implications point to the need for teacher development that creates enablers that lead to changes in classroom practices that align with policy-designated, progressive roles in teaching mathematics.

  19. Establishing Mathematics for Teaching within Classroom Interactions in Teacher Education (United States)

    Ryve, Andreas; Nilsson, Per; Mason, John


    Teacher educators' processes of establishing "mathematics for teaching" in teacher education programs have been recognized as an important area for further research. In this study, we examine how two teacher educators establish and make explicit features of mathematics for teaching within classroom interactions. The study shows how the…

  20. Science and Mathematics Teachers' Experiences, Needs, and Expectations regarding Professional Development (United States)

    Chval, Kathryn; Abell, Sandra; Pareja, Enrique; Musikul, Kusalin; Ritzka, Gerard


    High quality teachers are essential to improving the teaching and learning of mathematics and science, necessitating effective professional development (PD) and learning environments for teachers. However, many PD programs for science and mathematics teachers fall short because they fail to consider teacher background, experience, knowledge,…

  1. Factors Influencing Elementary Mathematics Teachers' Beliefs in Reform-Based Teaching (United States)

    Sawyer, Amanda Gantt


    I investigated a reform based teachers' beliefs about the nature of mathematics, teaching mathematics, and learning mathematics, and the factors leading to their formation. I interviewed and observed a reform-based elementary mathematics teacher with 13 years' experience teaching first grade. She held a Platonist/problem solver view of…

  2. Racial Differences in Mathematics Test Scores for Advanced Mathematics Students (United States)

    Minor, Elizabeth Covay


    Research on achievement gaps has found that achievement gaps are larger for students who take advanced mathematics courses compared to students who do not. Focusing on the advanced mathematics student achievement gap, this study found that African American advanced mathematics students have significantly lower test scores and are less likely to be…


    Directory of Open Access Journals (Sweden)

    Natal’ya Yur’evna Gorbunova


    Full Text Available We described several aspects of organizing student research work, as well as solving a number of mathematical modeling problems: professionally-oriented, multi-stage, etc. We underlined the importance of their economic content. Samples of using such problems in teaching Mathematics at agricultural university were given. Several questions connected with information material selection and peculiarities of research problems application were described. Purpose. The author aims to show the possibility and necessity of using professionally-oriented problems of mathematical modeling in teaching Mathematics at agricultural university. The subject of analysis is including such problems into educational process. Methodology. The main research method is dialectical method of obtaining knowledge of finding approaches to selection, writing and using mathematical modeling and professionally-oriented problems in educational process; the methodology is study of these methods of obtaining knowledge. Results. As a result of analysis of literature, students opinions, observation of students work, and taking into account personal teaching experience, it is possible to make conclusion about importance of using mathematical modeling problems, as it helps to systemize theoretical knowledge, apply it to practice, raise students study motivation in engineering sphere. Practical implications. Results of the research can be of interest for teachers of Mathematics in preparing Bachelor and Master students of engineering departments of agricultural university both for theoretical research and for modernization of study courses.

  4. The Teachers Academy for Mathematics and Science. Executive summary and program activities update

    Energy Technology Data Exchange (ETDEWEB)


    In his State of the Union address on January 31, 1990, President Bush set a goal for US students to be number one in the world in mathematics and science achievement by the year 2000. The Teachers Academy for Mathematics and Science in Chicago is an experiment of unprecedented boldness and scale that can provide a means to the President`s goal, both for the Chicago area and as a national model. This document covers organization and governance, program activities, future training goals, and evaluation programs.

  5. Primary teachers notice the impact of language on children's mathematical reasoning (United States)

    Bragg, Leicha A.; Herbert, Sandra; Loong, Esther Yoon-Kin; Vale, Colleen; Widjaja, Wanty


    Mathematical reasoning is now featured in the mathematics curriculum documents of many nations, but this necessitates changes to teaching practice and hence a need for professional learning. The development of children's mathematical reasoning requires appropriate encouragement and feedback from their teacher who can only do this if they recognise mathematical reasoning in children's actions and words. As part of a larger study, we explored whether observation of educators conducting mathematics lessons can develop teachers' sensitivity in noticing children's reasoning and consideration of how to support reasoning. In the Mathematical Reasoning Professional Learning Research Program, demonstration lessons were conducted in Australian and Canadian primary classrooms. Data sources included post-lesson group discussions. Observation of demonstration lessons and engagement in post-lesson discussions proved to be effective vehicles for developing a professional eye for noticing children's individual and whole-class reasoning. In particular, the teachers noticed that children struggled to employ mathematical language to communicate their reasoning and viewed limitations in language as a major barrier to increasing the use of mathematical reasoning in their classrooms. Given the focus of teachers' noticing of the limitations in some types of mathematical language, it seems that targeted support is required for teachers to facilitate classroom discourse for reasoning.

  6. Note-Taking in a Mathematics Classroom (United States)

    Hoong, Leong Yew; Guan, Tay Eng; Seng, Quek Khiok; Fwe, Yap Sook; Luen, Tong Cherng; Toh, Wei Yeng Karen; Chia, Alexander; Teck, Ong Yao


    The authors are a team of teachers and teacher educators who are deeply interested in helping mathematically-challenged students improve in their learning of mathematics. In Singapore, depending on their performance at the end of a nationwide Year 6 examination, students are channelled into three ability streams for Years 7 to 10: Express (60%),…

  7. How Mathematics Teachers Develop Their Pupils' Self-Regulated Learning Skills (United States)

    Marchis, Iuliana


    Self-regulated learning skills are important in mathematical problem solving. The aim of the paper is to present a research on how mathematics teachers guide their pupils' mathematical problem-solving activities in order to increase self-regulation. 62 teachers have filled in a questionnaire developed for this research. The results are show that…


    Directory of Open Access Journals (Sweden)

    Marcus Samuelsson


    Full Text Available A not entirely unusual position among teachers is that they believe that they must first establish a peaceful classroom before they can begin to teach the subject. This research, shows how a proficient mathematics teacher teaches his subject and thereby creates a quiet and focused classroom and exerts effective leadership, just by teaching mathematics. The researchers observed a male mathematics teacher for almost half a year, i.e. one semester. The results of research present several patterns that the researchers saw during the observations of his teaching. The teacher showed an interest in each student’s mathematical thinking and expressed explicitly how students were expected to learn mathematics. He also directed students’ attention to mathematics and established a culture where all solutions were important in the teaching process. In the teaching process, he used multiple representations to motivate students and a lot of supportive expressions that made them feel that they were able to learn mathematics. He worked patiently to establish structures, and there was almost no disruptive behaviour. Students simply did not have time to interfere because they were so engaged in learning mathematics.

  9. An instrument measuring prospective mathematics teacher self-regulated learning: validity and reliability (United States)

    Nugroho, A. A.; Juniati, D.; Siswono, T. Y. E.


    Self Regulated Learning (SRL) is an individual's ability to achieve academic goals by controlling behavior, motivate yourself and use cognitive in learning, so it is important for a teacher especially teachers of mathematics related to the ability of management, design, implementation of learning and evaluation of learning outcomes. The purpose of the research is to develop an instrument to describe the SRL of a prospective mathematics teacher. Data were collected by (1) the study of the theory of SRL produced the indicator SRL used to design the questionnaire SRL; (2) analysis of the questionnaire SRL obtained from several References; and (3) development stage of the SRL questionnaire through validity test of content and empirical validation. The study involved 2 content experts in mathematics, 1 linguist, and 92 prospective mathematics teachers. The results of the research on content validity test based on Indonesian expert and 2 content experts indicate that the content can assess the indicator of the SRL and feasible to be used, in the test of legibility of two prospective mathematics teacher concluded that the instrument has a language that can be understood by the prospective teacher of mathematics and on empirical validation involving 92 prospective mathematics teacher generate data that of 65 statements there are 3 invalid statements. Reliability calculation shows high category that values 0,93. The conclusion is the SRL instrument developed for the prospective mathematics teacher.

  10. Student Motivation and Learning in Mathematics and Science: A Cluster Analysis (United States)

    Ng, Betsy L. L.; Liu, W. C.; Wang, John C. K.


    The present study focused on an in-depth understanding of student motivation and self-regulated learning in mathematics and science through cluster analysis. It examined the different learning profiles of motivational beliefs and self-regulatory strategies in relation to perceived teacher autonomy support, basic psychological needs (i.e. autonomy,…

  11. Refining teacher design capacity: mathematics teachers' interactions with digital curriculum resources

    NARCIS (Netherlands)

    Pepin, B.; Gueudet, G.; Trouche, L.


    The goal of this conceptual paper is to develop enhanced understandings of mathematics teacher design and design capacity when interacting with digital curriculum resources. We argue that digital resources in particular offer incentives and increasing opportunities for mathematics teachers’ design,

  12. The Equal Sign: Teachers' Knowledge and Students' Misconceptions (United States)

    Vermeulen, Cornelis; Meyer, Bronwin


    This article reports on a study that investigated the extent to which 57 Grade 6 students at a particular school have misconceptions regarding equality, with the equal sign as focus. It also investigated this school's three Grade 5 and 6 teachers' mathematical knowledge for teaching regarding equality, again focusing on the equal sign. The…

  13. Teachers' Use of a Pedagogical Framework for Improvement in Mathematics Teaching: Case Studies from YuMi Deadly Maths (United States)

    Carter, Merilyn; Cooper, Tom; Anderson, Robyn


    This paper describes the pedagogical framework used by YuMi Deadly Maths, a school change process used to improve mathematics teaching and thus enhance employment and life chances for socially disadvantaged students. The framework, called the RAMR cycle, is capable of being used by mathematics teachers for planning and delivering lessons and units…

  14. A Digital Storytelling Study Project on Mathematics Course with Preschool Pre-Service Teachers (United States)

    Inan, Cemil


    Digital storytelling technique is based on a presentation of course content in a story form using multimedia tools. In this study, digital stories were designed for mathematics instruction with preschool pre-service teachers. At the end of the six-week study, preschool students viewed the digital stories created. The study aimed to determine the…

  15. Choosing High-Yield Tasks for the Mathematical Development of Practicing Secondary Teachers (United States)

    Epperson, James A. Mendoza; Rhoads, Kathryn


    Many mathematics teacher educators encounter the challenge of creating or choosing mathematical tasks that evoke important mathematical insights and connections yet remain firmly grounded in school mathematics. This challenge increases substantially when trying to meet the needs of practicing secondary mathematics teachers pursuing graduate work…

  16. Prospective Secondary Mathematics Teachers' Reflections on Teaching after Their First Teaching Experience (United States)

    Yazgan-Sag, Gönül; Emre-Akdogan, Elçin; Argün, Ziya


    The aim of our study was to examine prospective secondary mathematics teachers' reflections about teaching after their first teaching experience. We carried out five interviews during the two semesters with four Turkish prospective secondary mathematics teachers. The data analysis suggests that prospective secondary mathematics teachers'…

  17. Improving the Reasoning Ability of Elementary School Student through the Indonesian Realistic Mathematics Education

    Directory of Open Access Journals (Sweden)

    Muhamad Saleh


    Full Text Available By taking the role as a mentor and a facilitator, a teacher in the 4th grade of elementary school needs to look at the condition of the students in the concrete thinking stage. Learning process needs to be adjusted such that the abstract objects in mathematics can be represented through concrete objects as a bridge to enter the knowledge that the students already had, especially for the material of fraction. This research aims to analyze the achievement and the improvement of students’ mathematics reasoning ability through the implementation of Indonesian realistic mathematics education (PMRI approach. The research subject consisted of 51 students in the experiment group and 45 students in the control group which categorized into three levels (low, intermediate, and high. The result suggests that the achievement and the improvement of students’ reasoning ability in the mathematics learning using PMRI approach are better than the conventional learning.

  18. A Case Study on Pre-Service Secondary School Mathematics Teachers' Cognitive-Metacognitive Behaviours in Mathematical Modelling Process (United States)

    Sagirli, Meryem Özturan


    The aim of the present study is to investigate pre-service secondary mathematics teachers' cognitive-metacognitive behaviours during the mathematical problem-solving process considering class level. The study, in which the case study methodology was employed, was carried out with eight pre-service mathematics teachers, enrolled at a university in…

  19. Teachers' Pedagogical Mathematical Awareness in Swedish Early Childhood Education (United States)

    Björklund, Camilla; Barendregt, Wolmet


    Revised guidelines for Swedish early childhood education that emphasize mathematics content and competencies in more detail than before raise the question of the status of pedagogical mathematical awareness among Swedish early childhood teachers. The purpose of this study is to give an overview of teachers' current pedagogical mathematical…

  20. Employment of an Informal Educational Mathematical Facility to Lower Math Anxiety and Improve Teacher and Student Attitudes Towards Understanding Mathematics (United States)

    Adams, Vicki


    Students do not pursue careers in science, technology, engineering, or mathematics (STEM) because of a lack of ability, but rather a lack of positive experiences with mathematics. Research has concluded that attitudes in math directly influence success in mathematics. As many as 75% of high school graduates in the United States suffer from mild to…