quantitative research methods in mathematics education

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Quantitative Research in Education A Primer

• Wayne K. Hoy - Ohio State University, USA
• Curt M. Adams - University of Oklahoma, USA
• Description

“ The book provides a reference point for beginning educational researchers to grasp the most pertinent elements of designing and conducting research… ”

— Megan Tschannen-Moran, The College of William & Mary

Quantitative Research in Education: A Primer, Second Edition is a brief and practical text designed to allay anxiety about quantitative research. Award-winning authors Wayne K. Hoy and Curt M. Adams first introduce readers to the nature of research and science, and then present the meaning of concepts and research problems as they dispel notions that quantitative research is too difficult, too theoretical, and not practical. Rich with concrete examples and illustrations, the Primer emphasizes conceptual understanding and the practical utility of quantitative methods while teaching strategies and techniques for developing original research hypotheses.

The Second Edition includes suggestions for empirical investigation and features a new section on self-determination theory, examples from the latest research, a concluding chapter illustrating the practical applications of quantitative research, and much more. This accessible Primer is perfect for students and researchers who want a quick understanding of the process of scientific inquiry and who want to learn how to effectively create and test ideas.

See what’s new to this edition by selecting the Features tab on this page. Should you need additional information or have questions regarding the HEOA information provided for this title, including what is new to this edition, please email [email protected] . Please include your name, contact information, and the name of the title for which you would like more information. For information on the HEOA, please go to http://ed.gov/policy/highered/leg/hea08/index.html .

For assistance with your order: Please email us at [email protected] or connect with your SAGE representative.

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“This text will definitely be useful in providing students with a solid orientation to research design particularly in quantitative research”

“Precision, precision, precision! I think this is a must have companion text for graduate students who have to complete a thesis or dissertation. The author does an outstanding job of cataloging and describing difficult research methods terms in a clear and concise way.”

“Greatest strength is the comprehensiveness of the treatment”

“A reference point for beginning educational researchers to grasp the most pertinent elements of designing and conducting research”

Provides all the essential information for quantitative research in a concise book.

A book on research in education but quite well can be accommodated into other social science areas. A great easy to follow publication especially if someone is new to statistical analysis.

There are two strong chapters in this publication that are clearer and more relevant that the sources presently being used by my students. Chapter 3 is particularly well written and clear and builds a progression in terms of understanding statistics. Chapter 4 is also effective however I would probably place this before Chapter 3. In terms of detail there is probably too much in Chapter 4 on Hypothesis whereas Chapter 3 could be developed perhaps by the inclusion of more examples.

Very helpful book that provides a basis for students undertaking education based research.

For those that are interested in doing research that is quantitative in nature, this book is useful, although we tend to advise a more qualitative approach. Therefore I can see myself dipping in and out of this book as it provides some good explanations and there is follow through. I would have welcomed more working examples as this would have concretised everything a lot more.

This is a good supplement to the research methods module, especially for those students who are entering into the field of education. The quantitative methods discussed are also transferrable to other subjects.

NEW TO THIS EDITION:    

• A new chapter devoted to the practical applications of education research uses the concepts of collective trust, organizational climate, and improvement science to illustrate the utility of a quantitative approach. It also offers guidelines for analyzing and improving the practice of research in education.
• New hypotheses found in a variety of research studies are available for readers to analyze and diagram.
• A new section on self-determination theory has been added to demonstrate the relation between theory and practice.
• A new section on self-regulatory climate gives readers an opportunity to explore an exciting new area that they are likely to encounter in practice.  
• A conceptual description of Hierarchical Linear Modeling (HLM) has been added to help readers understand statistical data organized at more than one level.    

KEY FEATURES:  

• Education-specific concrete examples bring concepts to life and engage readers with relevant, meaningful illustrations.
• Check Your Understanding exercises and questions assess the reader’s ability to understand, value, and apply the content of the chapter.  
• Strat egies and techniques for generating hypotheses help readers understand the process of creating their own hypotheses.
• Key Terms are highlighted in the text when they first appear and then summarized in a list at the end of the chapter to help reinforce key concepts.
• A Glossary concisely and clearly defines all the key terms in the text so readers have immediate access to ideas and concepts needing review.
• Charts throughout the text allow readers to select appropriate statistical techniques for given scenarios.
• The Diagramming Table (in Chapter 4) enables readers to diagram and dissect hypotheses by ensuring the key elements of a hypothesis are considered, analyzed, and understood.
• An Elements of a Proposal section (Appendix A) gives readers directions for developing a quantitative research plan and motivates readers to get started—the most difficult step for many.
• The A Few Writing Tips section (Appendix B) lists a number of salient writing suggestions to help readers avoid common mistakes found in formal writing.

Sample Materials & Chapters

For instructors, select a purchasing option.

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Examining purposeful researchable questions in mathematics education

Journal of Honai Math

Often general, and frequently involving scholarly concepts, research questions are the cornerstone of studies. Thus, from their precise wording to their context, research questions play a vital role in uncovering information, determining answers given by participants, and drawing conclusions. However, poorly structured research questions and misalignments to purpose within theoretical and empirical studies can lead to miscommunication and unanswered queries. To this point, this paper discusses the importance of asking purposeful researchable questions in mathematics education and examines what purposeful questioning in mathematics education using quantitative and qualitative research designs entails. An extensive review of literature, is presented with the purpose of identifying strategies for asking purposeful questions, exploring various criteria for judging researchable questions in mathematics education, and discussing the importance of aligning research questions to methodology...

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Rina Zazkis

With the development of qualitative methodologies, interviewing has become one of the main tools in mathematics education research. As the first step in analyzing interviewing in mathematics education we focus here on the stage of planning, specifically, on designing the interview questions. We attempt to outline several features of interview questions and understand what guides researchers in choosing the interview questions. Our observations and conclusions are based on examining research in mathematics education that uses interviews as a data-collection tool and on interviews with practicing researchers reflecting on their practice.

Advances in Mathematics Education

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Proceedings of the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education

David W Stinson

CITATION: Stinson, D. W., & Walshaw, M. (2017). “Theory at the crossroads”: Mapping moments of mathematics education research onto paradigms of inquiry. In E. Galindo & J. Newton (Eds.), Proceedings of the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1407–1414). Hoosier Association of Mathematics Teachers Educators: Indianapolis, IN. ABSTRACT: In this essay, traveling through the past half-century, the authors illustrate how mathematics education research shifted, theoretical, beyond its psychological and mathematical roots. Mapping four historical moments of mathematics education research onto broader paradigms of inquiry, the authors make a case for the field to take up a theoretical " identity " that refutes closure and keeps the possibilities of mathematics teaching and learning open to multiple and uncertain interpretations and analyses.

International Group for the Psychology of Mathematics Education

Margaret Walshaw

In this essay, traveling through the past half-century, the authors illustrate how mathematics education research shifted, theoretical, beyond its psychological and mathematical roots. Mapping four historical moments of mathematics education research onto broader paradigms of inquiry, the authors make a case for the field to take up a theoretical “identity” that refutes closure and keeps the possibilities of mathematics teaching and learning open to multiple and uncertain interpretations and analyses.

Edrine Mutebi CFA

Mutebi Edrine

Kathmandu University School of Education

Niroj Dahal

My inquiry portrayed the existing classroom practices in mathematics pedagogy on understanding and uses of questioning by mathematics teachers. For this, narrative inquiry approach has been used to focus on experiences of six mathematics teachers working in schools in Kathmandu Valley, Nepal, by using criterion-based selection strategy to choose my participants to be involved in this research (Roulston, 2010). It aims to examine the complexities of experiences by gaining insight into how understanding and uses of questioning in mathematics classroom are embedded in mathematics teachers’ multiple and uniquely situated experiences, and in doing so, this inquiry views from various theoretical lens, namely, sociological perspectives, behaviorists to constructivists approaches, categories of questioning as per expertise, critical pedagogical perspectives and algorithmic and daily life practices, for analysis how interlock to create unequal power relations in mathematics classroom exist while questioning from teachers' view. With those issues in mind, this study was designed to explore the following research question: How do teachers narrate their experience of understanding and usage of questioning in relation to mathematics pedagogy? Subscribing to a narrative inquiry for meaning-making, my study foregrounds the six mathematics teachers voices and experiences, power relationship about whose experiences are valued and whose voice can be heard in their mathematics classroom while questioning the students. In keeping with narrative inquiry approaches, I use a more personal voice to reflect on mathematics teachers' understanding and uses of questioning which is an ethical challenge involved in the research process, namely: Issues of representation, as well as struggles relating to voice, is at the core of the study and reflexively considered throughout. Near to final, in conclusion of my study, the majority of the mathematics teachers seem to be conformist mathematics teacher at the beginning of their teaching career but later on, they were nonconformist by being flexible enough in questioning. Further, the majority of my research participants asked more questions within the simple to complex level and highly focusing on simple (low level) questioning, claiming to encourage students in mathematical discussion. Finally, it attempts to be an example of ethical and respectful research and claims to increase understanding of how mathematics teacher understanding and uses of questioning in the mathematics classrooms in Kathmandu Valley, Nepal.

Journal for Research in Mathematics Education

Marta Civil

Mathematics education researchers seek answers to important questions that will ultimately result in the enhancement of mathematics teaching, learning, curriculum, and assessment, working toward “ensuring that all students attain mathematics proficiency and increasing the numbers of students from all racial, ethnic, gender, and socioeconomic groups who attain the highest levels of mathematics achievement” (National Council of Teachers of Mathematics [NCTM], 2014, p. 61). Although mathematics education is a relatively young field, researchers have made significant progress in advancing the discipline. As Ellerton (2014) explained in her JRME editorial, our field is like a growing tree, stable and strong in its roots yet becoming more vast and diverse because of a number of factors. Such growth begs these questions: Is our research solving significant problems? How do we create a system and infrastructure that will provide an opportunity to accumulate professional knowledge that is st...

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Home > Physical and Mathematical Sciences > Mathematics Education > Theses and Dissertations

Mathematics Education Theses and Dissertations

Theses/dissertations from 2024 2024.

New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting

Theses/Dissertations from 2023 2023

Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales

Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff

Parents' Perceptions of the Importance of Teaching Mathematics: A Q-Study , Ashlynn M. Holley

Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson

Theses/Dissertations from 2022 2022

Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll

Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon

Developing a Quantitative Understanding of U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena

The Perception of At-Risk Students on Caring Student-Teacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper

Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby

Structural Reasoning with Rational Expressions , Dana Steinhorst

Student-Created Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong

Theses/Dissertations from 2021 2021

Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams

You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer

Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens

Theses/Dissertations from 2020 2020

Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway

Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen

Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe

Theses/Dissertations from 2019 2019

Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson

Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson

Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis

“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross

Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark

Theses/Dissertations from 2018 2018

Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason

How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job

Teacher Graphing Practices for Linear Functions in a Covariation-Based College Algebra Classroom , Konda Jo Luckau

Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky

Theses/Dissertations from 2017 2017

Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard

Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard

Kyozaikenkyu: An In-Depth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville

Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga

Theses/Dissertations from 2016 2016

The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis

Insight into Student Conceptions of Proof , Steven Daniel Lauzon

Theses/Dissertations from 2015 2015

Teacher Participation and Motivation inProfessional Development , Krystal A. Hill

Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom , Ashley Burgess Hulet

English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill

Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich

Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts

Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson

Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke

Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise

Theses/Dissertations from 2014 2014

The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams

Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch

Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd

Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton

An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen

Theses/Dissertations from 2013 2013

Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo

Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau

Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc

Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele

Types of Questions that Comprise a Teacher's Questioning Discourse in a Conceptually-Oriented Classroom , Keilani Stolk

Theses/Dissertations from 2012 2012

Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call

Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons

Learning Within a Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson

Mathematics Teacher Time Allocation , Ashley Martin Jones

Theses/Dissertations from 2011 2011

How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell

Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce

A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams

Theses/Dissertations from 2010 2010

Growth in Students' Conceptions of Mathematical Induction , John David Gruver

Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart

Thinking on the Brink: Facilitating Student Teachers' Learning Through In-the-Moment Interjections , Travis L. Lemon

Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams

Theses/Dissertations from 2009 2009

A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick

The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling

Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak

Theses/Dissertations from 2008 2008

Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon

How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks

Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill

Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson

Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb

Theses/Dissertations from 2007 2007

Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff

What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff

Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow

One Problem, Two Contexts , Danielle L. Gigger

The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class , Greg Brough Henry

Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer

Theses/Dissertations from 2006 2006

How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras

Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standards-based Curriculum Students and NonStandards-based Curriculum Students? , Rebekah Loraine Genz

The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze

Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing

What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb

Theses/Dissertations from 2005 2005

Fraction Multiplication and Division Image Change in Pre-Service Elementary Teachers , Jennifer J. Cluff

An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen

Theses/Dissertations from 2004 2004

Reasoning About Motion: A Case Study , Tiffini Lynn Glaze

Theses/Dissertations from 2003 2003

An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford

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129 List Of Research Topics In English Language Teaching [updated]

English Language Teaching (ELT) is a field dedicated to teaching English to non-native speakers. It’s important because English is a global language used for communication, business, and education worldwide. Research in ELT helps improve teaching methods, making it easier for students to learn English effectively. This blog will explore a list of research topics in English language teaching.

What Are The Areas Of Research In English Language Teaching?

Table of Contents

Research in English Language Teaching (ELT) encompasses a wide range of areas, including:

• Language Learning: Understanding how people learn English well, like when they learn a new language and if there’s a best time to do it.
• Teaching Ways: Looking into different ways teachers teach, like using conversations, tasks, or mixing language with other subjects.
• Curriculum Design and Syllabus Development: Designing and evaluating language curricula and syllabi to meet the needs of diverse learners and contexts.
• Assessment and Evaluation: Developing and validating assessment tools, exploring alternative assessment methods, and investigating the effectiveness of feedback and error correction strategies.
• Technology in ELT: Exploring the integration of technology in language teaching and learning, including computer-assisted language learning (CALL), mobile-assisted language learning (MALL), and online learning platforms.
• Teacher Education and Professional Development: Investigating pre-service and in-service teacher education programs, reflective practices, and challenges in teacher training.
• Cultural and Sociolinguistic Aspects: Examining the role of culture in language teaching and learning, sociolinguistic competence, and addressing cultural diversity in the classroom.
• Learner Diversity and Inclusive Practices: Researching teaching strategies for diverse learners, including young learners, learners with learning disabilities, and learners from diverse linguistic and cultural backgrounds.
• Policy and Planning in ELT: Analyzing language policies at national and international levels, exploring the implementation of ELT programs, and examining the role of ELT in national development.
• Research Methodologies in ELT: Investigating qualitative, quantitative, and mixed-methods research approaches in ELT research, including action research conducted by teachers in their own classrooms.
• Future Trends and Innovations: Exploring emerging trends and innovations in ELT, such as the impact of globalization, the use of artificial intelligence (AI) in language learning, and innovative teaching strategies.

129 List Of Research Topics In English Language Teaching: Category Wise

Language acquisition and development.

• Second Language Acquisition Theories: Explore different theories explaining how learners acquire a second language.
• Critical Period Hypothesis: Investigate the idea of an optimal age range for language acquisition.
• Multilingualism and Language Development: Study how knowing multiple languages affects language development.
• Cognitive and Affective Factors in Language Learning: Examine the role of cognitive abilities and emotions in language learning.
• Language Learning Strategies: Investigate the strategies learners use to acquire and develop language skills.
• Input Hypothesis: Explore the role of comprehensible input in language acquisition.
• Interaction Hypothesis: Examine the importance of interaction in language learning.
• Fossilization in Second Language Learning: Study why some learners reach a plateau in their language development.

Teaching Methodologies and Approaches

• Communicative Language Teaching (CLT): Analyze the effectiveness of CLT in promoting communication skills.
• Task-Based Language Teaching (TBLT): Explore the use of real-world tasks to teach language.
• Content and Language Integrated Learning (CLIL): Investigate teaching subject content through English.
• Blended Learning in ELT: Study the integration of traditional and online teaching methods.
• Audio-Lingual Method: Assess the effectiveness of drills and repetition in language teaching.
• Grammar-Translation Method: Compare traditional grammar-focused methods with communicative approaches.
• Lexical Approach: Explore teaching vocabulary as a key component of language proficiency.
• Suggestopedia: Investigate the use of relaxation techniques to enhance language learning.

Curriculum Design and Syllabus Development

• Needs Analysis in ELT: Identify the language needs of learners and design appropriate curricula.
• Integrating Language Skills in Curriculum: Examine strategies for integrating reading, writing, listening, and speaking skills.
• Syllabus Types: Compare different types of syllabi, such as structural and task-based.
• Task-Based Syllabus Design: Design syllabi based on real-world tasks to promote language acquisition.
• Content-Based Instruction (CBI): Integrate language learning with academic content in syllabus design.
• Needs Analysis in Specific Contexts: Conduct needs analyses for learners in specific professional or academic contexts.
• Cross-Cultural Communication in Curriculum Design: Incorporate intercultural communication skills into language curricula.

Assessment and Evaluation

• Standardized Testing in ELT: Evaluate the reliability and validity of standardized English language tests.
• Alternative Assessment Approaches: Explore non-traditional assessment methods like portfolios and self-assessment.
• Feedback Strategies in Language Learning: Investigate effective feedback techniques for improving language proficiency.
• Washback Effect of Testing: Study how assessment practices influence teaching and learning.
• Authentic Assessment in ELT: Develop assessment tasks that mirror real-life language use situations.
• Portfolio Assessment: Investigate the use of portfolios to track language learning progress over time.
• Computer Adaptive Testing (CAT): Evaluate the feasibility and effectiveness of adaptive testing methods in ELT.

Technology in ELT

• Computer-Assisted Language Learning (CALL): Assess the impact of computer-based language learning programs.
• Mobile-Assisted Language Learning (MALL): Study the effectiveness of mobile devices in language learning.
• Online Learning Platforms for ELT: Analyze the features and usability of online platforms for language education.
• Virtual Reality (VR) in Language Learning: Explore immersive VR environments for language practice and instruction.
• Artificial Intelligence (AI) Tutoring Systems: Assess the effectiveness of AI-based tutors in providing personalized language instruction.
• Social Media in Language Learning: Study the role of social media platforms in informal language learning contexts.
• Gamification in ELT: Investigate the use of game elements to enhance engagement and motivation in language learning.

Teacher Education and Professional Development

• Pre-service Teacher Education Programs: Evaluate the effectiveness of teacher training programs.
• Reflective Practice in Teaching: Investigate how teachers reflect on their practice to improve teaching.
• Challenges in Teacher Education: Identify challenges faced by educators in training and development.
• Teacher Beliefs and Practices: Examine how teachers’ beliefs about language learning influence their instructional practices.
• Peer Observation in Teacher Development: Explore the benefits of peer observation and feedback for teacher professional growth.
• Mentoring Programs for New Teachers: Evaluate the effectiveness of mentoring programs in supporting novice teachers.
• Continuing Professional Development (CPD) Models: Compare different models of CPD for language teachers and their impact on teaching quality.

Cultural and Sociolinguistic Aspects

• Language and Culture Interrelationship: Explore the relationship between language and culture in ELT.
• Sociolinguistic Competence and Pragmatics: Study how social context influences language use and understanding.
• Gender and Identity in Language Learning: Investigate how gender identity affects language learning experiences.
• Intercultural Competence in Language Teaching: Develop strategies for promoting intercultural communicative competence in language learners.
• Language Policy and Minority Language Education: Analyze the impact of language policies on the education of minority language speakers.
• Gender and Language Learning Strategies: Investigate gender differences in language learning strategies and their implications for instruction.
• Code-Switching in Multilingual Classrooms: Study the role of code-switching in language learning and classroom interaction.

Learner Diversity and Inclusive Practices

• Teaching English to Young Learners (TEYL): Examine effective teaching strategies for children learning English.
• Addressing Learning Disabilities in ELT: Investigate methods for supporting learners with disabilities in language learning.
• ELT for Specific Purposes (ESP): Explore specialized English language instruction for specific fields.
• Differentiated Instruction in Language Teaching: Develop strategies for addressing diverse learner needs in the language classroom.
• Inclusive Pedagogies for Learners with Special Educational Needs: Design instructional approaches that accommodate learners with disabilities in language learning.
• Language Learning Strategies of Autistic Learners: Investigate effective language learning strategies for individuals on the autism spectrum.
• Language Identity and Learner Motivation: Explore the relationship between language identity and motivation in language learning.

Policy and Planning in ELT

• National and International Language Policies: Analyze policies governing English language education at different levels.
• ELT Program Implementation Challenges: Identify challenges in implementing ELT programs in diverse contexts.
• Role of ELT in National Development: Examine the contribution of English language education to national development goals.
• English as a Medium of Instruction (EMI) Policies: Analyze the impact of EMI policies on educational equity and access.
• Language Teacher Recruitment and Deployment Policies: Evaluate policies related to the recruitment and deployment of language teachers in diverse contexts.
• Language Assessment Policy Reform: Propose reforms to language assessment policies to promote fairness and validity.
• Biliteracy Development Policies: Study policies aimed at promoting biliteracy development among bilingual learners.

Research Methodologies in ELT

• Qualitative Research Methods in ELT: Explore qualitative approaches like interviews and case studies in ELT research.
• Quantitative Research Methods in ELT: Investigate quantitative methods such as surveys and experiments in language education research.
• Mixed-Methods Approaches in ELT Research: Combine qualitative and quantitative methods to gain a comprehensive understanding of research questions.
• Ethnographic Approaches to ELT Research: Conduct ethnographic studies to explore language learning and teaching in naturalistic settings.
• Case Study Research in Language Education: Investigate specific language learning contexts or programs through in-depth case studies.
• Corpus Linguistics in ELT Research: Analyze language use patterns and learner language production using corpus linguistic methods.
• Longitudinal Studies of Language Learning: Follow language learners over an extended period to examine developmental trajectories and factors influencing language acquisition.

Future Trends and Innovations

• Emerging Technologies in ELT: Study the integration of technologies like AI and VR in language teaching.
• Innovations in Teaching Strategies: Explore new approaches to teaching language, such as flipped classrooms and gamification.
• Future Directions in ELT Research: Investigate potential areas for future research in English language teaching.
• Wearable Technology in Language Learning: Explore the potential of wearable devices for delivering personalized language instruction.
• Data Analytics for Adaptive Learning: Develop data-driven approaches to adaptive learning in language education.
• Augmented Reality (AR) Applications in ELT: Design AR-enhanced language learning experiences for immersive language practice.
• Global Citizenship Education and Language Learning: Investigate the role of language education in fostering global citizenship skills.
• Eco-Linguistics and Language Education: Explore the intersection of language education and environmental sustainability.
• Metacognition and Language Learning: Explore how learners’ awareness of their own learning processes affects language acquisition.
• Peer Interaction in Language Learning: Investigate the role of peer collaboration and discussion in promoting language development.
• Heritage Language Education: Study strategies for maintaining and revitalizing heritage languages among immigrant and minority communities.
• Language Learning Motivation in Adolescents: Examine factors influencing motivation and engagement in adolescent language learners.
• Phonological Awareness in Language Learning: Investigate the role of phonological awareness in literacy development for language learners.
• Pragmatic Development in Language Learners: Explore how learners acquire pragmatic competence and understanding of language use in context.
• Digital Literacies and Language Learning: Examine how digital literacy skills contribute to language proficiency and communication in the digital age.
• Critical Language Awareness: Investigate approaches to developing learners’ critical awareness of language use and power dynamics.
• Language Teacher Identity: Study how language teachers’ identities shape their beliefs, practices, and interactions in the classroom.
• Collaborative Learning in Language Education: Explore the benefits and challenges of collaborative learning environments for language learners.
• Motivational Strategies in Language Teaching: Develop and evaluate motivational techniques to enhance student engagement and persistence in language learning.
• Heritage Language Maintenance: Investigate factors influencing the maintenance and transmission of heritage languages across generations.
• Phonics Instruction in Language Learning: Examine the effectiveness of phonics-based approaches for teaching reading and pronunciation.
• Language Policy Implementation: Analyze the challenges and successes of implementing language policies at the institutional, regional, and national levels.
• Language Teacher Cognition: Explore language teachers’ beliefs, knowledge, and decision-making processes in the classroom.
• Intercultural Communicative Competence: Develop strategies for fostering learners’ ability to communicate effectively across cultures.
• Critical Pedagogy in Language Education: Explore approaches to teaching language that promote critical thinking, social justice, and equity.
• Language Learning Strategies for Autodidacts: Investigate effective self-directed learning strategies for language learners outside formal educational settings.
• Content and Language Integrated Learning (CLIL) in Higher Education: Examine the implementation and outcomes of CLIL programs in tertiary education.
• Sociocultural Theory and Language Learning: Explore how social and cultural factors influence language acquisition and development.
• Language Socialization: Investigate how individuals learn language within social and cultural contexts, including family, peer groups, and communities.
• Speech Perception and Language Learning: Examine the relationship between speech perception abilities and language proficiency in second language learners.
• Genre-Based Approaches to Language Teaching: Explore the use of genre analysis and genre-based pedagogy to teach language skills in context.
• Learner Autonomy in Language Learning: Investigate strategies for promoting learner autonomy and independence in language education.
• Multimodal Literacy in Language Learning: Examine the integration of multiple modes of communication, such as text, image, and sound, in language instruction.
• Community-Based Language Learning: Study language learning initiatives that engage learners with their local communities and resources.
• English as a Lingua Franca (ELF) Communication: Explore the use of English as a global means of communication among speakers from diverse linguistic backgrounds.

Research in English Language Teaching covers a wide range of topics, from language acquisition theories to the impact of technology on learning. By exploring these topics (from a list of research topics in english language teaching), we can improve how English is taught and learned, making it more effective and accessible for everyone.

Continuous research and collaboration among educators, researchers, and policymakers are essential for the ongoing development of ELT.

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Research Methods in Mathematics Teacher Education

• First Online: 01 January 2012

Cite this chapter

• Uwe Gellert 6 ,
• Rosa Becerra Hernández 7 &
• Olive Chapman 8  

Part of the book series: Springer International Handbooks of Education ((SIHE,volume 27))

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As the field of mathematics education grows so too do the research methods used to study the field. In the special area of teacher education, the last decade has witnessed a substantial increase in attention. New perspectives and new methodologies have been constituted and new research techniques established. Choosing the “right” method is not a trivial task for any researcher, and increasingly we are seeing more sophisticated research methods, including different forms of mixed methods. A main concern of research these days relates to the fact that as well as studying teachers and teaching, researchers want to see their findings applied to the professional development of teachers and to a critical modification of teacher education practices, in the frame of social changes. This has led to more research with teachers rather than on teachers. After surveying state-of-the-art of methods in research on mathematics teacher education published in renowned international journals, this chapter focusses on participatory action research as an example of a research method from the politicized periphery of the field.

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Adler, J., Ball, D., Krainer, K., Lin, F.-L., & Novotna, J. (2005). Reflections on an emerging field: Researching mathematics teacher education. Educational Studies in Mathematics, 60 (3), 359–381.

Google Scholar  

Altrichter, H., Feldman, A., Posch, P., & Somekh, B. (2008). Teachers investigate their work: An introduction to action research across the professions (2nd ed.). London, UK: Routledge.

Ander-Egg, E. (2003). Repensando la investigación-acción participativa . Buenos Aires, Argentina: Lumen.

Apple, M. (1997). Teoría crítica y educación . Buenos Aires, Argentina: Miño y Dávila Editores.

Arbaugh, F. (2003). Study groups as a form of professional development for secondary mathematics teachers. Journal of Mathematics Teacher Education, 6 (2), 139–163.

Barrantes, M., & Blanco, L. J. (2006). A study of prospective primary teachers’ conceptions of teaching and learning school geometry. Journal of Mathematics Teacher Education, 9 (5), 411–436.

Barwell, R. (2003). Discursive psychology and mathematics education: Possibilities and challenges. Zentralblatt für Didaktik der Mathematik, 35 (5), 201–207.

Baumert, J., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A., Klusmann, U., Krauss, S., Neubrand, M., & Tsai, Y.-M. (2010). Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress. American Educational Research Journal, 47 (1), 133–180.

Bazzini, L. (2007). The mutual influence of theory and practice in mathematics education: Implications for research and teaching. ZDM The International Journal on Mathematics Education, 39 (1–2), 119–125.

Becerra, R. (2003). Construyendo una estrategia metodológica participativa en el curso de Geometría del currículo de formación del docente integrador (Doctoral dissertation). Universidad Pedagógica Experimental Libertador, Caracas, Venezuela.

Becerra, R. (2005). La educación matemática crítica: Origen y perspectivas. In D. Mora (Ed.), Didáctica crítica, educación crítica de las matemáticas y etnomatemática (pp. 165–203). La Paz, Bolivia: Campo Iris.

Becerra, R. (2010). Action-research in the Venezuelan classrooms. In U. Gellert, E. Jablonka, & C. Morgan (Eds.), Proceedings of the Sixth International Mathematics Education and Society Conference (pp. 121–129). Berlin, Germany: Freie Universität Berlin.

Becerra, R., & Moya, A. (2008). Hacia una formación docente crítica y transformadora. In D. Mora & S. De Alarcón (Eds.), Investigar y transformer: Reflexiones críticas para pensar la educación (pp. 109–155). La Paz, Bolivia: III-CAB.

Becerra, R., & Moya, A. (2010). Investigación-acción participativa crítica y transformadora: Un proceso permanente en construcción. Integra Educativa, 3 (2), 133–156.

Bekdemir, M. (2010). The pre-service teachers’ mathematics anxiety related to depth of negative experiences in mathematics classroom while they were students. Educational Studies in Mathematics, 75 , 311–328.

Bigott, L. (1992). Investigación alternativa y educación popular en América Latina . Caracas, Venezuela: Fondo Editorial Tropykos.

Bogdan, R. C., & Biklen, S. K. (1998). Qualitative research in education: An introduction to theory and methods . Boston, MA: Allyn and Bacon.

Boylan, M. (2010). “It’s getting me thinking and I’m an old cynic”: Exploring the relational dynamics of mathematics teacher change. Journal of Mathematics Teacher Education, 13 (5), 383–395.

Breen, C. (2003). Mathematics teachers as researchers: Living on the edge? In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.), Second international handbook of mathematics education (pp. 523–544). Dordrecht, The Netherlands: Kluwer.

Brown, L., & Coles, A. (2010). Mathematics teacher and mathematics teacher educator change: Insight through theoretical perspectives. Journal of Mathematics Teacher Education, 13 (5), 375–382.

Burton, L. (2002). Methodology and methods in mathematics education research: Where is “the why”? In S. Goodchild & L. English (Eds.), Researching mathematics classrooms: A critical examination of methodology (pp. 1–10). Greenwich, CT: Information Age Publishing.

Cantoral, R. (2000, July). La matemática educativa en Latinoamérica. Interview at the 14 th Reunión Latinoamericana de Matemática Educativa (Relme 14), Panama. Retrieved from http://www.educ.ar/educar/site/educar/la-matematica-educativa-en-latinoamerica--entrevista-al-investigador-ricardo-cantoral-uriza.html .

Carter, K. (1993). The place of story in the study of teaching and teacher education. Educational Researcher, 22 (1), 5–12.

Chapman, O., & Heater, B. (2010). Understanding change through a high school mathematics teacher’s journey to inquiry-based teaching. Journal of Mathematics Teacher Education, 13 , 445–458.

Chinnappan, M., & Lawson, M. J. (2005). A framework for analysis of teachers’ geometric content knowledge and geometric knowledge for teaching. Journal of Mathematics Teacher Education, 8 , 197–221.

Clandinin, D. J., & Connelly, F. M. (2000). Narrative inquiry: Experience and story in qualitative research . San Francisco, CA: Jossey Bass.

Cockburn, A. (2008). How can research be used to inform and improve mathematics teaching practice? Journal of Mathematics Teacher Education, 11 (5), 343–347.

Creswell, J. W. (1998). Qualitative inquiry and research design: Choosing among five traditions . Thousand Oaks, CA: Sage.

Creswell, J. W. (2003). Research design: Qualitative, quantitative, and mixed methods approaches (2nd ed.). Thousand Oaks, CA: Sage.

Creswell, J. W. (2008). Narrative research designs. In Educational research: Planning, conducting and evaluating quantitative and qualitative research (3rd ed., pp. 511–550). Upper Saddle River, NJ: Pearson Education

Davis, J. D. (2009). Understanding the influence of two mathematics textbooks on prospective secondary teachers’ knowledge. Journal of Mathematics Teacher Education, 12 , 365–389.

Davis, P. J., & Hersh, R. (1986). Descartes’ dream: The world according to mathematics . San Diego, CA: Harcourt Brace Jovanovich.

De Silva, G. V. S., Wignaraja, P., Mehta, N., & Rahman, M. A. (1979). Bhoomi Sena: A struggle for people’s power. Development Dialogue, 2 , 3–70.

Descartes, R. (1637). Discours de la méthode pour bien conduire la raison et chercher la verité dans les sciences . Leyde, Belgium: Ian Maire.

Dowling, P. (2009). Sociology as method: Departures from the forensics of culture, text and knowledge . Rotterdam, The Netherlands: Sense Publishers.

Drake, C. (2006). Turning points: Using teachers’ mathematics life stories to understand the implementation of mathematics education reform. Journal of Mathematics Teacher Education, 9 , 579–608.

Dussel, E. (1995). The invention of the Americas: Eclipse of “the other” and the myth of modernity . London, UK: Continuum.

Dussel, E. (2011). Filosofía de le liberación en la era de la globalización y la exclusión. In Pensando el mundo desde Bolivia: I ciclo de seminarios internacionales (pp. 259–272). La Paz, Bolivia: Vicepresidencia del Estado Plurinacional de Bolivia.

Erickson, F. (1986). Qualitative methods in research on teaching. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd ed., pp. 119–161). New York, NY: Macmillan Publishing Company.

Ernest, P. (1991). The philosophy of mathematics education . London, UK: The Falmer Press.

Fals Borda, O. (1979–1986). Historia doble de la costa (4 Vols.). Bogotá, Colombia: Carlos Valencia.

Fals Borda, O. (1986). Investigación-acción participativa en Colombia . Bogotá, Colombia: Punta de Lanza y Foro Nacional por Colombia.

Fals Borda, O. (1995). Conocimiento y poder popular . Bogotá, Colombia: Siglo XXI.

Fals Borda, O. (2001). Participatory (action) research in social theory: Origins and challenges. In P. Reason & H. Bradbury (Eds.), Handbook of action research: Participative inquiry and practice (pp. 27–37). London, UK: Sage.

Fals Borda, O. (2003). Ante la crisis del país: Ideas/acción para el cambio . Bogotá, Colombia: El Áncora Editores.

Fennema, E., & Franke, M. L. (1992). Teachers’ knowledge and its impact. In D. A. Grouws (Ed.), Handbook of research in mathematics teaching and learning (pp. 147–164). New York, NY: Macmillan.

Fierro, C., Fortoul, B., & Rosas, L. (1999). Transformando la práctica docente: Una propuesta basada en la investigación-acción . México D.F: Paidós.

Florio, S., & Walsh, M. (1981). The teacher as colleague in classroom research. In H. T. Trueba, G. P. Guthrie, & K. H.-P. Au (Eds.), Culture in the bilingual classroom: Studies in classroom ethnography (pp. 87–101). Rowley, MA: Newbury House.

Freire, P. (1970). Pedagogy of the oppressed . New York, NY: Seabury Press.

Freire, P. (1990). La naturaleza política de la educación: Cultura, poder y liberación . Barcelona, Spain: Paidós.

Frykholm, J. A. (1999). The impact of reform: Challenges for mathematics teacher preparation. Journal of Mathematics Teacher Education, 2 (1), 79–105.

Gellert, U. (2001). Research on attitudes in mathematics education: A discursive perspective. In M. van den Heuvel-Panhuizen (Ed.), Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 33–40). Utrecht, The Netherlands: Freudenthal Institute.

Gellert, U. (2003). Researching teacher communities and networks. Zentralblatt für Didaktik der Mathematik, 35 (5), 224–232.

Gellert, U. (2009). Analysing accounts, discourse and mathematics classroom interaction: Reflections on qualitative methodology. In R. Kaasila (Ed.), Matematiikan ja luonnontieteiden (pp. 9–34). Rovaniemi, Finland: Lapin yliopistopaino.

Gellert, U. (2011). Now it concerns us! A reaction to sustainable mathematics education. For the Learning of Mathematics, 31 (2), 20–21.

Gil, J. (1992–1993). La metodología de investigación mediante grupos de discusión. Enseñanza, X–XI , 199–212.

Giroux, H. (1989). Schooling and the struggle for public life: Critical pedagogy in the modern age . Minneapolis, MN: University of Minnesota Press.

Glaser, B. G., & Strauss, A. L. (1967). The discovery of grounded theory: Strategies for qualitative research . Chicago, IL: Aldine.

Goetz, J. P., & Lecompte, M. D. (1984). Ethnography and qualitative design in educational research . New York, NY: Academic Press.

Gómez, P., & Valero, P. (2004). Algunas reflexiones sobre el ICME 10 y el PME 28. Retrieved from http://www.cumbia.ath.cx:591/pna/Archivos/GomezP .

Greenwood, D., & Levin, M. (2007). Introduction to action research (2nd ed.). Thousand Oaks, CA: Sage.

Habermas, J. (1984–1987). The theory of communicative action (2 vols.). Cambridge, UK: Polity.

Harkness, S. S., D’Ambrosio, B., & Morrone, A. S. (2007). Preservice elementary teachers’ voices describe how their teacher motivated them to do mathematics. Educational Studies in Mathematics, 65 , 235–254.

Hart, L. C., Smith, S. Z., Swars, S. L., & Smith, M. E. (2009). An examination of research methods in mathematics education (1995–2005). Journal of Mixed Methods Research, 3 (1), 26–41.

Hough, S., O’Rode, N., Terman, N., & Weissglass, J. (2007). Using concept maps to assess change in teachers’ understandings of algebra: A respectful approach. Journal of Mathematics Teacher Education, 10 , 23–41.

Hymes, D. (1981). Ethnographic monitoring. In H. T. Trueba, G. P. Guthrie, & K. H.-P. Au (Eds.), Culture in the bilingual classroom: Studies in classroom ethnography (pp. 56–68). Rowley, MA: Newbury House.

Jablonka, E. (2003). Mathematical literacy. In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.), Second international handbook of mathematics education (pp. 75–102). Dordrecht, The Netherlands: Kluwer Academic Publishers.

Jablonka, E., & Gellert, U. (2007). Mathematisation—Demathematisation. In U. Gellert & E. Jablonka (Eds.), Mathematisation and demathematisation: Social, philosophical and educational ramifications (pp. 1–18). Rotterdam, The Netherlands: Sense Publishers.

Jaworski, B., & Wood, T. (Eds.). (2008). The mathematics teacher educator as a developing professional . Rotterdam, The Netherlands: Sense Publishers.

Johnson, R. B., & Onwuegbuzie, A. J. (2004). Mixed methods research: A research paradigm whose time has come. Educational Researcher, 33 (7), 14–26.

Jones-Newton, K. (2009). Instructional practices related to prospective elementary school teachers’ motivation for fractions. Journal of Mathematics Teacher Education, 12 , 89–109.

Kaasila, R. (2007). Mathematical biography and key rhetoric. Educational Studies of Mathematics, 66 , 373–384.

Kanu, Y. (1997). Understanding development education through action research: Cross-cultural reflections. In T. R. Carson & D. J. Sumara (Eds.), Action research as a living practice (pp. 167–186). New York, NY: Peter Lang.

Keitel, C., Kotzmann, E., & Skovsmose, O. (1993). Beyond the tunnel vision: Analysing the relationship between mathematics, society and technology. In C. Keitel & K. Ruthven (Eds.), Learning from computers: Mathematics education and technology (pp. 243–279). Berlin, Germany: Springer.

Kilpatrick, J. (2000). Research in mathematics education across two centuries. In M. A. Clements, H. H. Tairab, & Wong, K. Y. (Eds.), Science, mathematics and technical education in the 20th and 21st centuries (pp. 79–93). Gadong, Brunei Darussalam: Universiti Brunei Darussalam.

Krainer, K. (1999). PFL-Mathematics: Improving professional practice in mathematics teaching. In B. Jaworski, T. Wood, & S. Dawson (Eds.), Mathematics teacher education: Critical international perspectives (pp. 102–112). London, UK: Falmer.

Krainer, K. (2003). Editorial: Teams, communities & networks. Journal of Mathematics Teacher Education, 6 (2), 93–105.

Krainer, K., & Wood, T. (Eds.). (2008). Participants in mathematics teacher education: Individuals, teams, communities and networks . Rotterdam, The Netherlands: Sense Publishers.

Lanz, C. (1994). El poder en la escuela: El método INVEDECOR como fundamento del currículo alternativo . Caracas, Venezuela: Edit-Art.

Law, J. (2004). After method: Mess in social science research . London, UK: Routledge.

Leavy, A., & O’Loughlin, N. (2006). Preservice teachers’ understanding of the mean: Moving beyond the arithmetic average. Journal of Mathematics Teacher Education, 9 , 53–90.

LeCompte, M. D., Preissle, J., & Tesch, R. (1993). Ethnography and qualitative design in educational research (2nd ed.). San Diego, CA: Academic Press.

Levenson, E., Tsamir, P., & Tirosh, D. (2010). Mathematically based and practically based explanations in the elementary school: Teachers’ preferences. Journal of Mathematics Teacher Education, 13 , 345–369.

Li, Q., & Chapman, O. (2010, April). iMovie in prospective secondary mathematics teacher education. Presented at the American Educational Research Association Annual Meeting, Denver, CO.

Liljedahl, P. (2010). Noticing rapid and profound mathematics teacher change. Journal of Mathematics Teacher Education, 13 (5), 411–423.

Linn, R. L. (1986). Quantitative methods in research on teaching. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd ed., pp. 92–118). New York, NY: Macmillan Publishing Company.

Llinares, S., & Valls, J. (2010). Prospective primary mathematics teachers’ learning from on-line discussions in a virtual video-based environment. Journal of Mathematics Teacher Education, 13 , 177–196.

Lloyd, G. M. (2006). Preservice teachers’ stories of mathematics classrooms: Explorations of practice through fictional accounts. Educational Studies in Mathematics, 63 , 57–87.

Lubienski, S. T., & Bowen, A. (2000). Who’s counting? A survey of mathematics education research 1982–1998. Journal for Research in Mathematics Education, 31 (5), 626–633.

Mason, J. (2002). Researching your own practice: The discipline of noticing . New York, NY: Routledge.

Messina, G. (1999). Investigación en o acerca de la formación docente: Un estado del arte en los noventa. Revista Iberoamericana de Educación, 19 , n/p.

Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (2nd ed.). London, UK: Sage.

Mill, J. S. (1975). Three essays on liberty, representative government and the subjection of women . Oxford, UK: Oxford University Press.

Morris, A. K. (2006). Assessing pre-service teachers’ skills for analyzing teaching. Journal of Mathematics Teacher Education, 9 , 471–505.

Moya, A. (2008). Elementos para la construcción de un modelo de evaluación en matemática para el nivel de educación superior (Doctoral dissertation). Universidad Pedagógica Experimental Libertador, Caracas, Venezuela.

Neubrand, M., Seago, N., Agudelo-Valderrama, C., DeBlois, L., & Leikin, R. (2009). The balance of teacher knowledge: Mathematics and pedagogy. In R. Even & D. L. Ball (Eds.), The professional education and development of teachers of mathematics: The 15th ICMI Study (pp. 211–225). New York, NY: Springer.

Noffke, S. (2009). Revisiting the professional, personal, and political dimensions of action research. In S. Noffke & B. Somekh (Eds.), The SAGE handbook of educational research (pp. 6–23). Thousand Oaks, CA: Sage.

Osana, H. P., Lacroix, G. I., Tucker, B. J., & Desrosiers, C. (2006). The role of content knowledge and problem features on preservice teachers’ appraisal of elementary mathematics tasks. Journal of Mathematics Teacher Education, 9 , 347–380.

Parsons, J. B., & Harding, K. J. (2011). Post-colonial theory and action research. Turkish Online Journal of Qualitative Inquiry, 2 (2), 1–6.

Patton, M. Q. (2002). Qualitative research and evaluation methods . Newbury Park, CA: Sage.

Planas, N., & Civil, M. (2009). Working with mathematics teachers and immigrant students: An empowerment perspective. Journal of Mathematics Teacher Education, 12 (6), 391–409.

Renert, M. (2011). Mathematics for life: Sustainable mathematics education. For the Learning of Mathematics, 31 (1), 20–26.

Rojas Olaya, A. (2011). El GIDEM: 10 años de revolución en educación matemática. Foro del Futuro, 4 , 10–20.

Santagata, R., Zannoni, C., & Stigler, J. W. (2007). The role of lesson analysis in pre-service teacher education: An empirical investigation of teacher learning from a virtual video-based field experience. Journal of Mathematics Teacher Education, 10 , 123–140.

Scherer, P., & Steinbring, H. (2006). Noticing children’s learning processes: Teachers jointly reflect on their own classroom interaction for improving mathematics teaching. Journal of Mathematics Teacher Education, 9 (2), 157–185.

Serrano, W. (2010). La educación matemática crítica en el contexto de la sociedad Venezolana: Hacia su filosofía y praxis (Doctoral dissertation). Universidad Central de Venezuela, Caracas, Venezuela.

Setati, M. (2000). Classroom-based research: From with or on teachers to with and on teachers. In J. F. Matos & M. Santos (Eds.), Proceedings of the Second International Mathematics Education and Society Conference (pp. 351–363). Lisbon, Portugal: CIEAFC-Universidade de Lisboa.

Sfard, A. (2005). What could be more practical than good research? On mutual relations between research and practice of mathematics education. Educational Studies in Mathematics, 58 (3), 393–413.

Silva, D. (2010). De lo real a lo formal en matemática (M.A. thesis). Universidad Pedagógica Experimental Libertador, Caracas, Venezuela.

Skott, J. (2001). The emerging practice of a novice teacher: The role of his school mathematics images. Journal of Mathematics Teacher Education, 4 (1), 3–28.

Skovsmose, O. (1994). Towards a philosophy of critical mathematics education . Dordrecht, The Netherlands: Kluwer Academic Publishers.

Smith, L. M. (1994). Biographical method. In N. K. Denzin & Y. S. Lincoln (Eds.), Handbook of qualitative research (pp. 286–305). Thousand Oaks, CA: Sage.

Son, J.-W., & Crespo, S. (2009). Prospective teachers’ reasoning and response to a student’s non-traditional strategy when dividing fractions. Journal of Mathematics Teacher Education, 12 , 235–261.

Speer, N. M. (2005). Issues of methods and theory in the study of mathematics teachers’ professed and attributed beliefs. Educational Studies in Mathematics, 58 (3), 361–391.

Spivak, G. C. (1990). The post-colonial critic: Interviews, strategies, dialogues . London, UK: Routledge.

Spivak, G. C. (2011). Colonidad, capitalismo y descolonización en las sociedades periféricas. In Pensando el mundo desde Bolivia: I ciclo de seminarios internacionales (pp. 311–320). La Paz, Bolivia: Vicepresidencia del Estado Plurinacional de Bolivia.

Stake, R. E. (1995). The art of case study research . Thousand Oaks, CA: Sage.

Stake, R. E. (2000). Case studies. In N. K. Denzin & Y. S. Lincoln (Eds.), Handbook of qualitative research (2nd ed., pp. 435–454). Thousand Oaks, CA: Sage.

Star, J. R., & Strickland, S. K. (2008). Learning to observe: Using video to improve preservice mathematics teachers’ ability to notice. Journal of Mathematics Teacher Education, 11 , 107–125.

Steinbring, H. (1994). Dialogue between theory and practice in mathematics education. In R. Biehler, R. W. Scholz, R. Sträßer, & B. Winkelmann (Eds.), Didactics of mathematics as a scientific discipline (pp. 89–102). Dordrecht, The Netherlands: Kluwer.

Steiner, H. G. (1985). Theory of mathematics education: An introduction. For the Learning of Mathematics, 5 (2), 11–17.

Stockero, S. L. (2008). Using a video-based curriculum to develop a reflective stance in prospective mathematics teachers. Journal of Mathematics Teacher Education, 11 , 373–394.

Strauss, A. L., & Corbin, J. (1990). Basics of qualitative research: Grounded theory procedures and techniques . Newbury Park, CA: Sage.

Strauss, A. L., & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory (2nd ed.). Thousand Oaks, CA: Sage.

Sullivan, P., & Wood, T. (Eds.). (2008). Knowledge and beliefs in mathematics teaching and teaching development . Rotterdam, The Netherlands: Sense Publishers.

Swantz, M. L. (1970). Ritual and symbol in transitional Zaramo society with special reference to women . Lund, Sweden: Gleerup.

Swars, S. L., Smith, S. Z., Smith, M. E., & Hart, L. C. (2009). A longitudinal study of effects of a developmental teacher preparation program on elementary prospective teachers’ mathematics beliefs. Journal of Mathematics Teacher Education, 12 , 47–66.

Tashakkori, A., & Teddlie, C. (Eds.). (2003). Handbook of mixed methods in social and behavioral research . Thousand Oaks, CA: Sage.

Thanheiser, E. (2010). Investigating further preservice teachers’ conceptions of multi-digit whole numbers: Refining a framework. Educational Studies of Mathematics, 75 , 241–251.

Thompson, A. G. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127–146). New York, NY: Macmillan.

Tirosh, D. (2007). What is research in mathematics teacher education? Journal of Mathematics Teacher Education, 10 (3), 141–144.

Tirosh, D., & Wood, T. (Eds.). (2008). Tools and processes in mathematics teacher education . Rotterdam, The Netherlands: Sense Publishers.

Uworwabayeho, A. (2009). Teachers’ innovative change within countrywide reform: A case study in Rwanda. Journal of Mathematics Teacher Education, 12 (5), 315–324.

Vacc, N. B., & Bright, G. W. (1999). Elementary preservice teachers’ changing beliefs and instructional use of children’s mathematical thinking. Journal for Research in Mathematics Education, 30 (1), 89–110.

Vico, G. (1709). De nostril temporis studiorum ratione . Naples, Italy: Dissertatio.

Vithal, R., & Valero, P. (2003). Researching mathematics education in situations of social and political conflict. In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.), Second international handbook of mathematics education (pp. 545–591). Dordrecht, The Netherlands: Kluwer.

Warman, A., Nolasco, M., Bonfil, G., Olivera, M., & Valencia, E. (1970). De eso que llaman antropología Mexicana . Mexico D. F: Nuestro Tiempo.

Watts, M., & Ebbutt, D. (1987). More than the sum of the parts: Research methods in group interviewing. British Educational Research Journal, 13 (1), 25–34.

Wilkins, J. L. M. (2008). The relationship among elementary teachers’ content knowledge, attitudes, beliefs, and practices. Journal of Mathematics Teacher Education, 11 , 139–164.

Wilson, M., & Cooney, T. (2002). Mathematics teacher change and development: The role of beliefs. In G. C. Leder, E. Pekhonen, & G. Törner (Eds.), Beliefs: The hidden variable in mathematics education? (pp. 127–147). Dordrecht, The Netherlands: Kluwer Academic Publishers.

Yin, R. K. (1989). Case study research: Design and methods . Thousand Oaks, CA: Sage.

Zack, V., Mousley, J., & Breen, C. (Eds.). (1997). Developing practice: Teachers’ inquiry and educational change . Geelong, Australia: Deakin University Press.

Zeichner, K. (2001). Educational action research. In P. Reason & H. Bradbury (Eds.), Handbook of action research: Participative inquiry and practice (pp. 273–283). London, UK: Sage.

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Uwe Gellert

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Gellert, U., Hernández, R.B., Chapman, O. (2012). Research Methods in Mathematics Teacher Education. In: Clements, M., Bishop, A., Keitel, C., Kilpatrick, J., Leung, F. (eds) Third International Handbook of Mathematics Education. Springer International Handbooks of Education, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4684-2_11

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