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- Australian Journal of Teacher Education (5)
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Articles 1 - 29 of 29
Full-Text Articles in Education
Why Do I Teach Math This Way: A Qualitative Examination Of How Teacher Experiences Impact The Implementation Of Instructional Practices, Carrie A. Heaney
Why Do I Teach Math This Way: A Qualitative Examination Of How Teacher Experiences Impact The Implementation Of Instructional Practices, Carrie A. Heaney
Master's Theses and Doctoral Dissertations
Since the 1960s, there has been an effort among the mathematical education community to shift instructional practices from a focus on arithmetic, memorizing rules, and completing practice worksheets to instructional practices that allow students to see mathematics as content that requires thinking and pattern explorations. Many mathematics teachers have not fully embraced these shifts in instructional practice. This study aimed to examine secondary mathematics teachers’ experiences and how those experiences connect to teachers’ implementation of student-centered instructional practices in the lessons they design. This qualitative study utilized a grounded theory approach to examine how a teacher’s experiences as a student …
Science And Mathematics Teacher Communities Of Practice: Social Influences On Discipline-Based Identity And Self-Efficacy Beliefs, Samuel J. Polizzi, Yicong Zhu, Joshua W. Reid, Brandon Ofem, Sara Salisbury, Michael Beeth, Gillian Roehrig, Margaret J. Mohr-Schroeder, Keith Sheppard, Gregory T. Rushton
Science And Mathematics Teacher Communities Of Practice: Social Influences On Discipline-Based Identity And Self-Efficacy Beliefs, Samuel J. Polizzi, Yicong Zhu, Joshua W. Reid, Brandon Ofem, Sara Salisbury, Michael Beeth, Gillian Roehrig, Margaret J. Mohr-Schroeder, Keith Sheppard, Gregory T. Rushton
Science, Technology, Engineering, and Mathematics (STEM) Education Faculty Publications
Background
Teacher communities of practice, identity, and self-efficacy have been proposed to influence positive teacher outcomes in retention, suggesting all three may be related constructs. Qualitative studies of communities of practice can be difficult to empirically link to identity and self-efficacy in larger samples. In this study, we operationalized teacher communities of practice as specific networks related to teaching content and/or pedagogy. This scalable approach allowed us to quantitatively describe communities of practice and explore statistical relationships with other teacher characteristics. We asked whether these community of practice networks were related to identity and self-efficacy, similar to other conceptualizations of …
Teacher Resources On Numeracy, Anannya Chakraborty
Teacher Resources On Numeracy, Anannya Chakraborty
Teacher India
Teachers have to persistently orient mathematics teaching towards building a strong foundation and improving achievements of students. This article provides a list of short topical online readings on teaching and learning mathematics published by ACER.
Using Self-Based Methodologies To Unpack Mathematics Teacher Educators' Work, Elizabeth Suazo-Flores, Signe E. Kastberg, Melva R. Grant, Jennifer Ward, Sue Ellen Richardson, Olive Chapman
Using Self-Based Methodologies To Unpack Mathematics Teacher Educators' Work, Elizabeth Suazo-Flores, Signe E. Kastberg, Melva R. Grant, Jennifer Ward, Sue Ellen Richardson, Olive Chapman
Teaching & Learning Faculty Publications
Narrative inquiry, self-study, and autoethnography (i.e., self-based methodologies) are methodologies used by mathematics teacher educators (MTEs). These methodologies have opened up the field by unpacking and unearthing MTEs' work communicating findings from their practices. Building from our previous working groups at PME-NA 2018-2020, we sustain a community where MTEs can feel supported in their study design, implementation, representation of findings, and publication using self-based methodologies. At PME-NA Philadelphia, we will continue our work at PME-NA Mexico on self-based methodologies to develop perspectives on philosophical underpinnings of self-based methodologies and addressing trustworthiness and authenticity in our reports.
Teaching Classroom Mathematics: Linking Two Pedagogical Models For Promoting Student Engagement And Conceptual Connections, Christine A. Ormond
Teaching Classroom Mathematics: Linking Two Pedagogical Models For Promoting Student Engagement And Conceptual Connections, Christine A. Ormond
Australian Journal of Teacher Education
This paper explains how an original conceptual framework model for mathematics pedagogy, the Australian Curriculum Conceptual Rubric (ACCR), has continued to be used successfully by the author in pre-service and in-service teacher education programs over the past ten years or more. Now further enhanced by a deeper reflection upon Peter Sullivan’s Six Principles (2011) for the effective teaching of classroom mathematics, the ACCR is based on four preparatory “big questions” that the teachers may ask of themselves and their students. The model is also a sequenced system of conceptual “rubrics” whose aim is to encourage, in new teachers especially, …
Exceptional Mathematics Teachers: What The Learners Think, Brianna Louvier
Exceptional Mathematics Teachers: What The Learners Think, Brianna Louvier
Masters of Education in Teaching and Learning
The purpose of this study was to determine high school learners’ perceptions of what makes an exceptional mathematics teacher. The author was a pre-service teacher serving her clinical teaching internship in a high school mathematics classroom in which Precalculus, Pre-AP Precalculus, and AP Calculus were taught. For this study, data was collected through a student survey, one-on-one interviews, and focus group interviews with students. The data was analyzed using the constant comparative method. Four major themes emerged from the data, including the significance of a teacher’s attitude, the importance of a teacher’s desire to help and teach learners, whether or …
The Gentle Man Who Taught Infinity, Sheshagiri K.M. Rao
The Gentle Man Who Taught Infinity, Sheshagiri K.M. Rao
Teacher India
Sheshagiri KM Rao describes the non-conventional teaching methods of his high school mathematics teacher Channa who helped students to discover the beauty in mathematics.
Using Number Properties To Inspire Teaching And Learning In The K-12 Classrooms, Hui Fang H. Su, Farrah Bell, Denise Gates, Janice Haramis, Kristin Hjerpe, Claude Manigat, Lourivaldo Da Silva
Using Number Properties To Inspire Teaching And Learning In The K-12 Classrooms, Hui Fang H. Su, Farrah Bell, Denise Gates, Janice Haramis, Kristin Hjerpe, Claude Manigat, Lourivaldo Da Silva
Transformations
Where would today’s world be without the number system? Indeed, civilization would not have come to as far as in modern times. In fact, the software this paper is being written on is run by a computer that is embedded in numerical codes and commands– something that would not be possible if it were not for the advancement of technology using the modern number system. In this paper, we study the historical development of the modern-day number system. We investigate the classification of numbers and number properties for mathematical use; including standard functions, rules, and examples. As a culmination of …
Mathematics Teacher Educators' Exploring Self-Based Methodologies, Elizabeth Elizabeth, Signe E. Kastberg, Dana Cox, Jennifer Ward, Olive Chapman, Melva R. Grant
Mathematics Teacher Educators' Exploring Self-Based Methodologies, Elizabeth Elizabeth, Signe E. Kastberg, Dana Cox, Jennifer Ward, Olive Chapman, Melva R. Grant
Teaching & Learning Faculty Publications
Historically underused methodologies in mathematics teacher education such as narrative inquiry, self-study, and autoethnography (i.e., self-based methodologies) are becoming a more frequent choice of mathematics teacher educators (MTEs). This has opened new challenges for MTEs as they try to disseminate their findings in mathematics education journals. Building from our working group at PME-NA 2018, we respond to the need for creating spaces (communities) where MTEs can feel supported in their study design, implementation, representation of findings, and publication using self-based methodologies. This year, we shift our focus from discussion to mentoring and scholarship on self-based methodologies. We invite MTEs with …
A Multilevel Analysis Of The Impact Of Teachers’ Beliefs And Mathematical Knowledge For Teaching On Students’ Mathematics Achievement, Adem Ekmekci, Danya M. Corkin, Weihua Fan
A Multilevel Analysis Of The Impact Of Teachers’ Beliefs And Mathematical Knowledge For Teaching On Students’ Mathematics Achievement, Adem Ekmekci, Danya M. Corkin, Weihua Fan
Australian Journal of Teacher Education
: Teachers’ content knowledge and beliefs about teaching and learning are among the key factors for effective teaching and, in turn, for student achievement-related outcomes. This study explores the extent to which K-8 math teachers’—who teach in high-poverty urban schools—professional background, motivational beliefs, and mathematical knowledge for teaching (MKT) have an impact on students’ math achievement. Hierarchical linear modeling (HLM) results indicated that although students’ prior mathematics achievement was the most determining factor of their subsequent math achievement, teachers’ MKT and holding a bachelor’s degree in mathematics had significant positive effects on students’ math achievement. Results provide support for professional …
Thinking Maths: Learning Impact Fund Evaluation Report: Addendum To The Evaluation Report, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Thinking Maths: Learning Impact Fund Evaluation Report: Addendum To The Evaluation Report, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Dr Hilary Hollingsworth
Thinking Maths is a three-term structured professional learning program for Years 6 - 9 mathematics teachers to engage middle school students’ mathematics learning. The Thinking Maths program has been developed by the South Australian Department for Education based on its Teaching for Effective Learning (TfEL) Framework. The program aims to address a significant drop in students’ mathematics performance in NAPLAN from Years 7 to Year 9. Thinking Maths supports teachers to improve students’ learning of mathematical content during the transition between Primary and Secondary school. Years 6 - 9 teachers participate in five professional learning days at 4 - 5 …
Thinking Maths: Learning Impact Fund Evaluation Report: Evaluation Report And Executive Summary, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Thinking Maths: Learning Impact Fund Evaluation Report: Evaluation Report And Executive Summary, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Dr Hilary Hollingsworth
Thinking Maths is a three-term structured professional learning program for Years 6 - 9 mathematics teachers to engage middle school students’ mathematics learning. The Thinking Maths program has been developed by the South Australian Department for Education based on its Teaching for Effective Learning (TfEL) Framework. The program aims to address a significant drop in students’ mathematics performance in NAPLAN from Years 7 to Year 9. Thinking Maths supports teachers to improve students’ learning of mathematical content during the transition between Primary and Secondary school. Years 6 - 9 teachers participate in five professional learning days at 4 - 5 …
Thinking Maths: Learning Impact Fund Evaluation Report: Addendum To The Evaluation Report, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Thinking Maths: Learning Impact Fund Evaluation Report: Addendum To The Evaluation Report, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Dr Katherine Dix
Thinking Maths is a three-term structured professional learning program for Years 6 - 9 mathematics teachers to engage middle school students’ mathematics learning. The Thinking Maths program has been developed by the South Australian Department for Education based on its Teaching for Effective Learning (TfEL) Framework. The program aims to address a significant drop in students’ mathematics performance in NAPLAN from Years 7 to Year 9. Thinking Maths supports teachers to improve students’ learning of mathematical content during the transition between Primary and Secondary school. Years 6 - 9 teachers participate in five professional learning days at 4 - 5 …
Thinking Maths: Learning Impact Fund Evaluation Report: Evaluation Report And Executive Summary, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Thinking Maths: Learning Impact Fund Evaluation Report: Evaluation Report And Executive Summary, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Dr Katherine Dix
Thinking Maths is a three-term structured professional learning program for Years 6 - 9 mathematics teachers to engage middle school students’ mathematics learning. The Thinking Maths program has been developed by the South Australian Department for Education based on its Teaching for Effective Learning (TfEL) Framework. The program aims to address a significant drop in students’ mathematics performance in NAPLAN from Years 7 to Year 9. Thinking Maths supports teachers to improve students’ learning of mathematical content during the transition between Primary and Secondary school. Years 6 - 9 teachers participate in five professional learning days at 4 - 5 …
Thinking Maths: Learning Impact Fund Evaluation Report: Evaluation Report And Executive Summary, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Thinking Maths: Learning Impact Fund Evaluation Report: Evaluation Report And Executive Summary, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Literacy and Numeracy
Thinking Maths is a three-term structured professional learning program for Years 6 - 9 mathematics teachers to engage middle school students’ mathematics learning. The Thinking Maths program has been developed by the South Australian Department for Education based on its Teaching for Effective Learning (TfEL) Framework. The program aims to address a significant drop in students’ mathematics performance in NAPLAN from Years 7 to Year 9. Thinking Maths supports teachers to improve students’ learning of mathematical content during the transition between Primary and Secondary school. Years 6 - 9 teachers participate in five professional learning days at 4 - 5 …
Thinking Maths: Learning Impact Fund Evaluation Report: Addendum To The Evaluation Report, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Thinking Maths: Learning Impact Fund Evaluation Report: Addendum To The Evaluation Report, Katherine Dix, Hilary Hollingsworth, Toby Carslake
Literacy and Numeracy
Thinking Maths is a three-term structured professional learning program for Years 6 - 9 mathematics teachers to engage middle school students’ mathematics learning. The Thinking Maths program has been developed by the South Australian Department for Education based on its Teaching for Effective Learning (TfEL) Framework. The program aims to address a significant drop in students’ mathematics performance in NAPLAN from Years 7 to Year 9. Thinking Maths supports teachers to improve students’ learning of mathematical content during the transition between Primary and Secondary school. Years 6 - 9 teachers participate in five professional learning days at 4 - 5 …
The Effects Of The School-Work Environment On Mathematics Teachers’ Motivation For Teaching: A Self-Determination Theoretical Perspective, Danya M. Corkin, Adem Ekmekci, Richard Parr
The Effects Of The School-Work Environment On Mathematics Teachers’ Motivation For Teaching: A Self-Determination Theoretical Perspective, Danya M. Corkin, Adem Ekmekci, Richard Parr
Australian Journal of Teacher Education
Guided by self-determination theory, this study investigated the extent to which factors of teachers’ school-work environments predict their self-efficacy and intrinsic value for teaching. Participants were 217 mathematics teachers working in Texas public schools. Results indicated that principals’ autonomy support positively predicted teachers’ self-efficacy and intrinsic value for teaching beyond years of teaching experience, mathematics background, and grade level taught. Moreover, the negative effects of school-work environments dominated by high-stakes testing on teachers’ motivation for teaching were moderated by the level of autonomy support provided by the school principal.
Lifting Australian Performance In Mathematics, Sue Thomson
Lifting Australian Performance In Mathematics, Sue Thomson
2009 - 2019 ACER Research Conferences
One in five Australian 15-year-old students was found to be failing to achieve what the OECD describes as a basic level of mathematical literacy to enable students to actively participate in 21st century life. In many cases, these students are also unmotivated and disengaged with schooling, perceive their school experience in a negative light, and have low aspirations for the future. In a disproportionate number of cases, low-achieving students come from low socio-economic backgrounds, have an Indigenous background, and live in rural areas. This paper investigates the relationship of these and other demographic and educational background variables with being a …
Antecedents Of Teachers’ Educational Beliefs About Mathematics And Mathematical Knowledge For Teaching Among In-Service Teachers In High Poverty Urban Schools, Danya M. Corkin, Adem Ekmekci, Anne Papakonstantinou
Antecedents Of Teachers’ Educational Beliefs About Mathematics And Mathematical Knowledge For Teaching Among In-Service Teachers In High Poverty Urban Schools, Danya M. Corkin, Adem Ekmekci, Anne Papakonstantinou
Australian Journal of Teacher Education
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 national and international organizations. Researchers contend that for instruction to change, educational beliefs about mathematics and teaching must change. Regression analyses indicated that mathematics-teaching experience was associated with teachers’ self-efficacy for teaching mathematics at the onset of professional development and the number of mathematics college courses teachers had taken moderated their …
Paper 6: A Mathematics Teacher’S Journey Of Identity Construction And Change, Anthony B. Stinson
Paper 6: A Mathematics Teacher’S Journey Of Identity Construction And Change, Anthony B. Stinson
Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference
Despite some gains, improving mathematics instruction remains an area of concern in the United States. The implementation of the Common Core Standards and the challenge of teaching the 21st Century student require mathematics teachers to examine their pedagogy to determine if they need to change or improve their practices. This paper provides a personal account of my journey when determining my identity as a mathematics teacher and how constructing my identity helped in changing and improving my practices as a mathematics teacher. The study was done using autoethnography, a burgeoning research method, and identity theory. This study has the goals …
Paper 2: The Mathematics Teacher Educator's Reflection On Edtpa: The Basics And The Complexity Of Georgia's Implementation, Woong Lim, Lynn Stallings
Paper 2: The Mathematics Teacher Educator's Reflection On Edtpa: The Basics And The Complexity Of Georgia's Implementation, Woong Lim, Lynn Stallings
Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference
Beginning in fall 2015, Georgia will require that all teacher candidates pass the edTPA, a performance-based assessment, as a requirement for initial certification. With the potential to impact teacher preparation programs in a profound way, the questions and issues related to the implementation of edTPA merit some critical reflection. In this article, we introduce the brief history of the instrument and review the basics of edTPA with a particular interest in middle grades mathematics. Furthermore, drawing upon our experience with edTPA during a pilot program and the extensive knowledge base of edTPA rubrics and scoring process, we present issues related …
The Impact Of Teachers' Characteristics And Self-Reported Practices On Students' Algebra Achievement, Liza Cope
The Impact Of Teachers' Characteristics And Self-Reported Practices On Students' Algebra Achievement, Liza Cope
Legacy Theses & Dissertations (2009 - 2024)
This study examined the impact of teachers' characteristics and self-reported practices on students' Algebra achievement while controlling for students' characteristics. This study is based on the secondary analysis of data collected from a nationally representative sample of 9th grade students and their mathematics teachers during the base year of the High School Longitudinal Study of 2009 (HSLS). Student and teacher data were obtained through questionnaires and students' Algebra achievement was measured by an ability-adaptive assessment designed to measure a cross-section of understandings representative of the six major Algebraic content domains (The language of algebra; Proportional relationships and change; Linear equations, …
Paper 1: Becoming Critical Mathematics Pedagogues: A Journey, David W. Stinson, Carla R. Bidwell, Ginny C. Powell, Mary M. Thurman
Paper 1: Becoming Critical Mathematics Pedagogues: A Journey, David W. Stinson, Carla R. Bidwell, Ginny C. Powell, Mary M. Thurman
Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference
This session will report the findings of a study that explored the beginning transformations in the pedagogical philosophies and practices of three mathematics teachers (middle, high school, and 2-year college) who completed a graduate-level mathematics education course that focused on critical theory and teaching for social justice, and how these transformations are compatible (or not) with reform mathematics education as suggested by the National Council of Teachers of Mathematics (NCTM), and in turn, the new Georgia Performance Standards (GPS). The study employed Freirian participatory research methodology; in fact, the participants were not only co- researchers, but also co-authors of the …
Using Critical Incident Reflections: A Self-Study As A Mathematics Teacher Educator, Joanne E. Goodell
Using Critical Incident Reflections: A Self-Study As A Mathematics Teacher Educator, Joanne E. Goodell
Joanne E Goodell
In this paper, I report the results of a 4-year study into how my students learn to become mathematics teachers during the combined 15-week methods and field placement course I teach. At the start of most weekly methods class meetings, groups of three or four students reported their critical incidents to each other, and then chose one incident to report to the whole class. Each student then submitted a written report of 10 critical incidents for grading. At the end of each semester, I administered a questionnaire about the usefulness of each of the elements of the course. Using these …
Secondary Mathematics Teachers' Perceptions Of The Achievement Gap, Linda Bol, Robert Q. Berry Iii
Secondary Mathematics Teachers' Perceptions Of The Achievement Gap, Linda Bol, Robert Q. Berry Iii
Educational Foundations & Leadership Faculty Publications
The purpose of this study was to survey the perceptions of secondary mathematics teachers on factors contributing to the achievement gap and ways to reduce this gap. National Council of the Teachers of Mathematics (NCTM) members were surveyed, and a total of 379 secondary teachers responded. Overall, respondents were most likely to attribute the achievement gap to student characteristics, such as differences in motivational levels, work ethic, and family support. Furthermore, teachers from schools with a higher population of White students were more likely to attribute the gap to student characteristics than were teachers in schools with higher percentages of …
Teaching Mathematical Problem Solving In The Context Of Oregon's Educational Reform, Nicole R. Rigelman
Teaching Mathematical Problem Solving In The Context Of Oregon's Educational Reform, Nicole R. Rigelman
Dissertations and Theses
Implementation of Oregon’s Educational Reform Act (HB 3565 and HB 2991) provides the context for this inquiry as its emphasis on problem solving has impacted mathematics teaching and learning throughout the state. Even though all Oregon teachers are responding to the same policy, their goals in teaching problem solving vary. These goals and these practices are influenced by the way teachers view the role of problem solving in the curriculum. Further, their practice is influenced by their knowledge and beliefs about mathematics content, teaching, learning, and the reform policy. The questions addressed in this study are: (1) What do exemplary …
Teachers Of Mathematics Teach Mathematics Differently : A Case Study Of Two Teachers, Jennie Bickmore-Brand
Teachers Of Mathematics Teach Mathematics Differently : A Case Study Of Two Teachers, Jennie Bickmore-Brand
Theses: Doctorates and Masters
This thesis investigates the different approaches adopted by two teachers for teaching mathematical content at the upper primary level of education. Questions have been raised by researchers about the impact teachers' philosophical background may have on their perception of how mathematics should be taught. Similarly questions have been asked about the role of content in mathematics education in relation to the process of education. The two teachers held different beliefs about what they were doing when they were teaching mathematics and why they were teaching that way. Their methodological emphases were different; one could be described as being more learner-centred …
When Mathematicians And Mathematics Teachers Come Together, Ronald B. Narode
When Mathematicians And Mathematics Teachers Come Together, Ronald B. Narode
Curriculum and Instruction Faculty Publications and Presentations
In accordance with recommendations from educators and educational researchers [Wilcox, et a!, 1991; Schwab, 1976], recent attempts to integrate the communities of professional mathematicians and high school mathematics teachers in the U.S A. have resulted in several summer institutes which bring these groups together for up to four weeks. Through living, working, and studying together, the two normally disparate groups are expected to develop a dialogue for the mutual benefit of the participants and for their students. The present study of one such institute was conducted with the use of interviews of the participants, examination of some of the teachers' …
Mathematics Education, English Technological Universities And Variety Of Entry Into The Teaching Profession, A. G. Shannon
Mathematics Education, English Technological Universities And Variety Of Entry Into The Teaching Profession, A. G. Shannon
Australian Journal of Teacher Education
The purpose of this paper is to raise the issue of genuine variety of entry into the teaching profession in Australia. The author's interest in mathematics and technological institutions has been used to focus the discussion on specific features, but his experience as a member of the Course Assessment Committee of the NSW Board of Teacher Education has made him aware of wider implications beyond the features peculiar to mathematics. Mathematics education itself is a term which can include the teaching of mathematics, studies about the learning of mathematics, and the preparation of mathematics teachers. The various aspects of mathematics …