Influence of Preservice Elementary Teachers' Mathematics Experiences on Their Attitudes and Beliefs about Mathematics

Influence of Preservice Elementary Teachers' Mathematics Experiences on Their Attitudes and Beliefs about Mathematics PDF Author: Kevin J. Voogt
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
Mathematics education research has repeatedly shown that many elementary teachers and preservice elementary teachers (PSTs) carry negative attitudes and unhealthy beliefs about mathematics (e.g., Bursal & Paznokas, 2006). That research, however, has largely examined PSTs' attitudes and beliefs about mathematics separately, rather than together, ignoring the research that has long asserted a relationship between the two (e.g., McLeod, 1992). Also, it has mostly focused on dislike of mathematics or mathematics anxiety, rather than attending to the full range of attitudes, including positive ones. Lastly, attitudes have largely been examined holistically. While students may have a predominantly positive or negative attitude toward mathematics, they may also like or dislike particular aspects of mathematics. In this study, I examined the attitudes that a group of PSTs held toward mathematics concurrently with their beliefs about mathematics. I also explored the experiences they indicated had shaped those attitudes and beliefs. Lastly, I examined their "turning point stories," or experiences that brought about significant change in attitudes or beliefs (Drake, 2006), to track the most drastic changes in their attitudes. I used qualitative research methods to explore a range of written and spoken data that addressed these issues-including mathematics autobiographies, free-response survey questions, and interviews in which participants graphed their changing attitudes over time.Findings indicate that these PSTs' attitudes and beliefs were interrelated, complex, and not easily captured by force-choice or Likert-type survey items. These PSTs' attitudes and beliefs fluctuated based on their experiences with mathematics, especially as connected to teachers and performance outcomes. This group also reported their attitudes as more positive than negative, though the data also suggest complexity about how they selected their attitude ratings. Findings also indicated that many PSTs had come to their teacher preparation program with beliefs about mathematics that were directly oppositional to some of their peers (e.g., only one solution path for solving a problem versus many possible paths). PSTs at all levels of attitude (i.e., liking or disliking mathematics) reported negative experiences with mathematics, where some categories of experiences were either generally positive (e.g., working with a tutor) or negative (e.g., taking mathematics tests). Positive turning points in attitudes toward mathematics were located in high school and college, whereas negative turning points were reported across all levels of schooling. PSTs most-often described their experiences with mathematics as a "roller coaster," with teachers being the most-common cause of turning points in their attitudes toward mathematics.These results have important methodological, pedagogical, and theoretical implications for research on preservice elementary teachers' attitudes and beliefs about mathematics. First, simple or Likert-scale surveys may obscure the complexity and dynamic, changing nature of people's attitudes and beliefs about mathematics. This study provides some methodological alternatives. For instruction, teachers hold substantial power in shaping their students' attitudes and beliefs about mathematics, but teacher preparation programs can be a site of recovery. In exploring the relationship between attitudes, beliefs, and experiences, this study suggests focusing future research on the dynamic, multidirectional relationships among the three.

Influence of Preservice Elementary Teachers' Mathematics Experiences on Their Attitudes and Beliefs about Mathematics

Influence of Preservice Elementary Teachers' Mathematics Experiences on Their Attitudes and Beliefs about Mathematics PDF Author: Kevin J. Voogt
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
Mathematics education research has repeatedly shown that many elementary teachers and preservice elementary teachers (PSTs) carry negative attitudes and unhealthy beliefs about mathematics (e.g., Bursal & Paznokas, 2006). That research, however, has largely examined PSTs' attitudes and beliefs about mathematics separately, rather than together, ignoring the research that has long asserted a relationship between the two (e.g., McLeod, 1992). Also, it has mostly focused on dislike of mathematics or mathematics anxiety, rather than attending to the full range of attitudes, including positive ones. Lastly, attitudes have largely been examined holistically. While students may have a predominantly positive or negative attitude toward mathematics, they may also like or dislike particular aspects of mathematics. In this study, I examined the attitudes that a group of PSTs held toward mathematics concurrently with their beliefs about mathematics. I also explored the experiences they indicated had shaped those attitudes and beliefs. Lastly, I examined their "turning point stories," or experiences that brought about significant change in attitudes or beliefs (Drake, 2006), to track the most drastic changes in their attitudes. I used qualitative research methods to explore a range of written and spoken data that addressed these issues-including mathematics autobiographies, free-response survey questions, and interviews in which participants graphed their changing attitudes over time.Findings indicate that these PSTs' attitudes and beliefs were interrelated, complex, and not easily captured by force-choice or Likert-type survey items. These PSTs' attitudes and beliefs fluctuated based on their experiences with mathematics, especially as connected to teachers and performance outcomes. This group also reported their attitudes as more positive than negative, though the data also suggest complexity about how they selected their attitude ratings. Findings also indicated that many PSTs had come to their teacher preparation program with beliefs about mathematics that were directly oppositional to some of their peers (e.g., only one solution path for solving a problem versus many possible paths). PSTs at all levels of attitude (i.e., liking or disliking mathematics) reported negative experiences with mathematics, where some categories of experiences were either generally positive (e.g., working with a tutor) or negative (e.g., taking mathematics tests). Positive turning points in attitudes toward mathematics were located in high school and college, whereas negative turning points were reported across all levels of schooling. PSTs most-often described their experiences with mathematics as a "roller coaster," with teachers being the most-common cause of turning points in their attitudes toward mathematics.These results have important methodological, pedagogical, and theoretical implications for research on preservice elementary teachers' attitudes and beliefs about mathematics. First, simple or Likert-scale surveys may obscure the complexity and dynamic, changing nature of people's attitudes and beliefs about mathematics. This study provides some methodological alternatives. For instruction, teachers hold substantial power in shaping their students' attitudes and beliefs about mathematics, but teacher preparation programs can be a site of recovery. In exploring the relationship between attitudes, beliefs, and experiences, this study suggests focusing future research on the dynamic, multidirectional relationships among the three.

Beliefs: A Hidden Variable in Mathematics Education?

Beliefs: A Hidden Variable in Mathematics Education? PDF Author: G.C. Leder
Publisher: Springer Science & Business Media
ISBN: 0306479583
Category : Education
Languages : en
Pages : 367

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Book Description
This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.

Examining the Attitudes Toward Mathematics of Preservice Elementary School Teachers Enrolled in an Introductory Mathematics Methods Course and the Experiences that Have Influenced the Development of These Attitudes

Examining the Attitudes Toward Mathematics of Preservice Elementary School Teachers Enrolled in an Introductory Mathematics Methods Course and the Experiences that Have Influenced the Development of These Attitudes PDF Author: Joy Bronston Schackow
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description
Thirty-three university students enrolled in one section of a mathematics methods course for elementary education majors completed the Attitudes Toward Mathematics Inventory at the beginning of the semester and again during week 12 of the 15-week semester. Throughout the semester, participants submitted reflective journal entries in which they reflected on their attitudes toward and experiences with mathematics. The instructor responded to each journal. Participants initial survey scores indicated that they valued mathematics, but their scores for Self-Confidence, Enjoyment, and Motivation were somewhat negative. As a whole, participants showed a statistically significant positive change in attitude on the second survey.

Compendium for Research in Mathematics Education

Compendium for Research in Mathematics Education PDF Author: Jinfa Cai
Publisher: National Council of Teachers of English
ISBN: 9780873537117
Category : Matemáticas
Languages : en
Pages : 1008

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Book Description
This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five sections that address research about (1) foundations, (2) methods, (3) mathematical processes and content, (4) students, teachers, and learning environments, and (5) futuristic issues. Each chapter offers a synthesis of research with an eye to the historical development of a research topic and, in particular, historical milestones of the research about the topic.

Understanding Experiences in a Mathematics Content Course for Preservice Teachers

Understanding Experiences in a Mathematics Content Course for Preservice Teachers PDF Author: Natalia Judith Bailey
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
Mathematics educators have long been interested in teachers' beliefs about mathematics. Researchers have connected teachers' beliefs with their practices, providing a sound reason for the examination of beliefs of preservice teachers. Unfortunately, researchers have also documented that many elementary preservice teachers have negative attitudes toward mathematics coupled with anxiety and the belief that mathematics is a static collection of disconnected rules. A mathematics content course for preservice teachers is one place in an education program where instructors may have an opportunity to provide activities that may solidify preservice teachers' beliefs about mathematics or provide an opportunity to reexamine their beliefs. However, these opportunities may differ depending on the beliefs of the mathematics content course instructor. In this dissertation, I examine the experiences of preservice teachers in two different sections of a mathematics content course. Using interviews with the course instructors before the course began, classroom observations during the course, and interviews with preservice teachers after the completion of the course I ask how preservice teachers understand their experiences in the course, particularly considering its alignment with their beliefs about mathematics. From this case study, it appears as though the instructors' perspectives of their students influenced classroom interactions, which students report as influencing both their beliefs about mathematics and their beliefs about mathematics teaching. Furthermore, instructors' instructional decisions are interpreted by their students, sometimes in ways unanticipated by the instructor. General recommendations for instruction in mathematics content courses for preservice teachers are provided.

Beliefs and Attitudes in Mathematics Education

Beliefs and Attitudes in Mathematics Education PDF Author: Jürgen Maasz
Publisher: BRILL
ISBN: 9087907230
Category : Education
Languages : en
Pages : 210

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Book Description
Tina Besley has edited this collection which examines and critiques the ways that different countries, particularly Commonwealth and European states, assess the quality of educational research in publicly funded higher education institutions. Such assessment often ranks universities, departments and even individual academics, and plays an important role in determining the allocation of funding to support university research.

Attitudes, Beliefs, Motivation and Identity in Mathematics Education

Attitudes, Beliefs, Motivation and Identity in Mathematics Education PDF Author: Markku S. Hannula
Publisher: Springer
ISBN: 3319328115
Category : Education
Languages : en
Pages : 42

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Book Description
This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.

Research Advances in the Mathematical Education of Pre-service Elementary Teachers

Research Advances in the Mathematical Education of Pre-service Elementary Teachers PDF Author: Gabriel J. Stylianides
Publisher: Springer
ISBN: 331968342X
Category : Education
Languages : en
Pages : 297

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Book Description
This book examines new trends and developments in research related to the mathematical education of pre-service elementary teachers, and explores the implications of these research advances for theory and practice in teacher education. The book is organized around the following four overarching themes: pre-service teachers’ mathematics content and mathematics-specific pedagogical preparation; professional growth through activities and assessment tools used in mathematics teacher preparation programs; pre-service mathematics teachers’ knowledge and beliefs; and perspectives on noticing in the preparation of elementary mathematics teachers. Including contributions from researchers working in 11 different countries, the book offers a forum for discussing and debating the state of the art regarding the mathematical preparation of pre-service elementary teachers. By presenting and discussing the findings of research conducted in different countries, the book offers also opportunities to readers to learn about varying teacher education practices around the world, such as: innovative practices in advancing or assessing teachers’ knowledge and beliefs, similarities and differences in the formal mathematics education of teachers, types of and routes in teacher education, and factors that can influence similarities or differences.

Views and Beliefs in Mathematics Education

Views and Beliefs in Mathematics Education PDF Author: Benjamin Rott
Publisher: Springer
ISBN: 3030012735
Category : Education
Languages : en
Pages : 253

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Book Description
The book is made up of 21 chapters from 25 presentations at the 23rd MAVI conference in Essen, which featured Alan Schoenfeld as keynote speaker. Of major interest to MAVI participants is the relationship between teachers’ professed beliefs and classroom practice. The first section is dedicated to classroom practices and beliefs regarding those practices, taking a look at prospective or practicing teachers’ views of different practices such as decision-making, the roles of explanations, problem-solving, patterning, and the use of play. The focus of the second section in this book deals with teacher change, which is notoriously difficult, even when the teachers themselves are interested in changing their practice. The third section of this book centers on the undercurrents of teaching and learning mathematics, what rises in various situations, causing tensions and inconsistencies. The last section of this book takes a look at emerging themes in affect-related research. In this section, papers discuss attitudes towards assessment.

Preservice Teachers' Beliefs about the Nature, Teaching and Learning of Elementary Mathematics, and the Influence of Previous Experiences on These Beliefs

Preservice Teachers' Beliefs about the Nature, Teaching and Learning of Elementary Mathematics, and the Influence of Previous Experiences on These Beliefs PDF Author: Patricia A. Pulver
Publisher:
ISBN:
Category :
Languages : en
Pages : 372

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Book Description