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Articles 1 - 26 of 26
Full-Text Articles in Education
Winter 2016, Transformations
Associating Mathematics To Its History: Connecting The Mathematics We Teach To Its Past, Joseph M. Furner, Ernest A. Brewer
Associating Mathematics To Its History: Connecting The Mathematics We Teach To Its Past, Joseph M. Furner, Ernest A. Brewer
Transformations
Across the USA and around the world now, globalization has taken a strong hold. The purpose of this paper is to explore the historical considerations that can be incorporated in the teaching of mathematics. The paper will also provide suggestions for teaching math by interweaving historical elements into the mathematics instruction. Teachers should strive to bridge the cultural and historical gap among all students by incorporating innovative ideas as well as historical and cultural connections into their teaching so to foster understanding, appreciation, and tolerance for the richness inherent in diversity and a sound understanding of mathematics and appreciation for …
Using Technology And Media-Rich Platforms To Help Teach The Pythagorean Theorem, Hui Fang Huang Su, Denise Gates, Janice Haramis, Farrah Bell, Claude Manigat, Kristin Hierpe, Lourivaldo Da Silva
Using Technology And Media-Rich Platforms To Help Teach The Pythagorean Theorem, Hui Fang Huang Su, Denise Gates, Janice Haramis, Farrah Bell, Claude Manigat, Kristin Hierpe, Lourivaldo Da Silva
Transformations
The history of mathematics is quite extensive, dating back to ancient times and elapsing several centuries. Many great mathematicians, philosophers, scientists, and scholars have contributed to mathematics on the subject we see today. For the purpose of this research project, we have chosen to highlight the great mathematician Pythagoras and his famous Pythagorean Theorem. We investigate the history of the Pythagorean Theorem, relationships among Pythagorean numbers, and unusual proofs of the Theorem. This paper provides a suggestive lesson plan, activity, and presentation for classroom use.
Every Student Can Be An Einstein: Addressing Math Anxiety In Today’S Classrooms, Joseph M. Furner
Every Student Can Be An Einstein: Addressing Math Anxiety In Today’S Classrooms, Joseph M. Furner
Transformations
This article is geared toward mathematics educators in hopes that they can ultimately excite young people about mathematics, encourage students to be confident in their ability to solve problems, understand mathematical concepts, and see math as a human endeavor. The author believes that as students feel less anxious about and more confident in their abilities to do math that their performance will improve. As math test scores are often a concern for principals, teachers, and society at large, success and confidence with mathematics is critical in our high-tech globally competitive world. Math anxiety has become a growing concern in the …
Number Pattern, Hui Fang Huang Su, Denise Gates, Janice Haramis, Farrah Bell, Claude Manigat, Kristin Hierpe, Lourivaldo Da Silva
Number Pattern, Hui Fang Huang Su, Denise Gates, Janice Haramis, Farrah Bell, Claude Manigat, Kristin Hierpe, Lourivaldo Da Silva
Transformations
In this manuscript, we study the purpose of number patterns, a brief history of number patterns, and classroom uses for number patterns and magic squares. We investigate and summarize number patterns and magic squares in various charts: 6 x 6, 7 x 7, 13 x 13, 21 x 21, and 37 x 37. The results are established by each number pattern along with narrative conjectures about primes and multiples of six from each pattern. Numerical charting examples are provided as an illustration of the theoretical results.
Effective Teaching In The Eye Of Teacher Educators: A Case Study In A Higher Education, Melek Çakmak, Ülker Akkutay
Effective Teaching In The Eye Of Teacher Educators: A Case Study In A Higher Education, Melek Çakmak, Ülker Akkutay
The Qualitative Report
Attempts to explore teacher educators’ thoughts seem to be meaningful at educational sciences since the number of studies discussing effective teaching and effective teacher at teacher education in the eye of teacher educators are quite limited. Therefore, this study mainly aims to identify the viewpoints of teacher educators in order to discover how they contextualize the concept of effective teaching. For this aim, a case study design, increasingly used in education (Tellis, 1997), is utilized in the study. This method is suitable when the research addresses an explanatory question such as how or why? (Yin, 2004). A questionnaire including open-ended …
Debriefing The Interpretive Researcher: Spider Sniffing With Critical Friend, Jan K. Williams, Reese H. Todd
Debriefing The Interpretive Researcher: Spider Sniffing With Critical Friend, Jan K. Williams, Reese H. Todd
The Qualitative Report
This auto-ethnographic study describes a practical application of qualitative research skills in an intensive writing retreat. The retreat was held in response to an inadequate dissertation defense just three weeks before final university deadline for graduation. It uses narrative and double- storytelling to step in and out of the experience of a debriefing process that put the writer in a vulnerable position with a critical friend. The reality of not completing the PhD demanded aggressive and immediate action – an intense commitment to critical analysis of the dissertation. The reflective self-study of the writing retreat experience describes the significance of …
Teaching In Circles: Learning To Harmonize As A Co-Teacher Of Gifted Education, Steve Haberlin
Teaching In Circles: Learning To Harmonize As A Co-Teacher Of Gifted Education, Steve Haberlin
The Qualitative Report
In this autoethnography, I explored my daily challenges and frustrations working as a teacher of gifted students in inclusion classrooms in an elementary public school. Inquiring about how I coped with these challenges and eventually thrived in the position, I journaled weekly about my teaching experiences during a six-month period and collected e-mails to teachers and parents. I employed constant comparative analysis and five themes emerged: frustration, isolation, advocacy, collaboration, and influence. I discussed the themes within the greater social and cultural context, drawing upon psychology and educational theories.
Humanization Through Action Research As Methodology, Jeffrey D. Radloff, Cole Joslyn, Brenda Capobianco
Humanization Through Action Research As Methodology, Jeffrey D. Radloff, Cole Joslyn, Brenda Capobianco
The Qualitative Report
The purpose of this action research study was to critically examine the use of action research as a mechanism to enhance graduate students’ development as emerging qualitative researchers. Although action research has been recognized as an effective means of transforming teaching practices, studies examining its use among graduate students learning to become qualitative researchers are lacking. Participants profiled in this study include two graduate students and one teacher educator. The context of the study was a graduate level course on action research where all three participants identified starting points, employed distinct action strategies, engaged in sustained, critical reflection, and developed …
Developing Healthcare Practitioners’ Professional Expertise Through Effective Continuing Education: Commentary, Caroline Faucher
Developing Healthcare Practitioners’ Professional Expertise Through Effective Continuing Education: Commentary, Caroline Faucher
Internet Journal of Allied Health Sciences and Practice
Development of professional expertise is the transition from novice to expert within a profession through deliberate practice with feedback. While this development is actively stimulated during undergraduate studies, encouraging practicing healthcare professionals to pursue their development towards expertise doesn’t seem as obvious. This commentary briefly describes the development of professional expertise and the possible decline in performance that can occur with time. It then gives insight into the roles of continuing professional education in healthcare practitioners’ acquisition and maintenance of professional expertise.
An Investigation Into English Language Instructors' And Students’ Intercultural Awareness, Burcu Yılmaz, Yonca Özkan
An Investigation Into English Language Instructors' And Students’ Intercultural Awareness, Burcu Yılmaz, Yonca Özkan
The Qualitative Report
The role of English as a global language has been increasing greatly in importance for the past few decades, giving rise to different varieties of English spoken by native and non-native English speakers all around the world. It has pointed to the need to raise intercultural awareness in English language classes. This study aims to reveal teacher and student perspectives of intercultural awareness regarding ownership of English and cultural integration in English language classes in Turkey. A mixed method research investigation was used in this descriptive case study. Questionnaires were employed to collect data from 45 English language instructors and …
Enhancing The Quality Of The Findings Of A Longitudinal Case Study: Reviewing Trustworthiness Via Atlas.Ti, Chooi Kean Ang, Mohamed Amin Embi, Melor Md Yunus
Enhancing The Quality Of The Findings Of A Longitudinal Case Study: Reviewing Trustworthiness Via Atlas.Ti, Chooi Kean Ang, Mohamed Amin Embi, Melor Md Yunus
The Qualitative Report
Case study often implies the collection of unstructured data and qualitative analysis of those data. Additionally, it is often argued that the aim of case study research should be to capture cases in their uniqueness, rather than to use them as a basis for wider generalization or theoretical inference of some kind. Hence, it often raises a fundamental issue about the aspect of trustworthiness. This paper aims to examine the extent of support by using ATLAS.ti for data analysis in establishing trustworthiness in a longitudinal case study. The case study is on the use of e-portfolio as a continuing professional …
Transforming Educational Leadership Preparation: Starting With Ourselves, Patricia L. Guerra, Barbara L. Pazey
Transforming Educational Leadership Preparation: Starting With Ourselves, Patricia L. Guerra, Barbara L. Pazey
The Qualitative Report
To lead for social justice, scholars have maintained aspiring leaders should examine their own values and beliefs that dictate, to a great extent, their day-to-day decision-making and responsibilities. To do so requires faculty to examine themselves before they can prepare leaders for social justice. The purpose of this paper is to engage others with similar interests toward creating and/or improving programs designed to prepare leaders for social justice. Serving as a source of data and method of analysis, this duoethnography chronicles the life histories of two faculty members working in different leadership programs to reveal how their understanding of diversity …
Exploring The Influence Of Teacher Language On Fourth Grade Students’ Mindsets: A Multi-Case Study, Abby Rau
Exploring The Influence Of Teacher Language On Fourth Grade Students’ Mindsets: A Multi-Case Study, Abby Rau
The Qualitative Report
With a shift in education today toward increased student talk, collaboration, and ownership of learning, the words that teachers choose to weave throughout their instruction and interactions with students are even more crucial. The purpose of this qualitative multi-case study was to explore the shift in students’ mindsets within an environment thick with process-oriented language with a focus on the inevitability of problems while learning. Research questions focused on the impact of specific teacher language, student reactions to challenging situations, and shifts in student language and perceptions of themselves as learners (mindset). The participants, two male and one female, attended …
Commentary: Posing Questions To Support And Challenge -- A Guide For Mentoring Staff, Suzanne T. Nevers, Sherri Melrose
Commentary: Posing Questions To Support And Challenge -- A Guide For Mentoring Staff, Suzanne T. Nevers, Sherri Melrose
Internet Journal of Allied Health Sciences and Practice
Staff development educators seeking to mentor health care practitioners towards thinking more critically may integrate a questioning approach into their teaching. However, posing questions that both support and challenge learners is an intentional process. This article provides an overview of the contextual considerations, dynamics and mechanics that educators need to understand in order to pose high level questions that invite learners to engage in reflection, problem solving and evidence informed practice. The approaches are framed from a constructivist theoretical perspective, a mentoring model of instruction and Socratic dialogue. The suggestions are practical mentoring strategies that can be readily integrated into …
Our Academic Sandbox: Scholarly Identities Shaped Through Play, Tantrums, Building Castles, And Rebuffing Backyard Bullies, Denise Mcdonald, Cheryl Craig, Carrie Markello, Michele Kahn
Our Academic Sandbox: Scholarly Identities Shaped Through Play, Tantrums, Building Castles, And Rebuffing Backyard Bullies, Denise Mcdonald, Cheryl Craig, Carrie Markello, Michele Kahn
The Qualitative Report
This paper presents four teacher educators’ stories that explore their scholarly identity development through an Academic Sandbox metaphor where Play, Tantrums, Building Castles, and Rebuffing Backyard Bullies, serve as creative constructs for describing their experiences of triumphs and challenges in academia. The authors share how a professional learning community (Faculty Academy) functioned as the safe space for “participatory sense-making” (See De Jaegher & Di Paolo, 2007) where situated agency emerged and became strengthened through the telling of the teachers’ stories (Archer, 2003; Clandinin & Connelly, 2000; Kligyte, 2011; McGann, 2014; McLean, Pasupathi, & Pals, 2007). Stories representative of each metaphorical …
The Construct Definition Of An English Language Teachers’ Content Knowledge, Reza Khani, Anna Hajizadeh
The Construct Definition Of An English Language Teachers’ Content Knowledge, Reza Khani, Anna Hajizadeh
The Qualitative Report
Regardless of the increasing emphasis on the importance of language teachers’ content knowledge, there is a lack of consensus regarding its constituents. To this end, a panel of experts and non-experts were requested to express their opinions regarding the constructs of content knowledge (CK) in the format of an open-ended written questionnaire. The findings indicate that teachers’ CK includes eleven categories: teaching skills, structures, method and approaches, curriculum, language acquisition theories, classroom context, language testing theories, learner related knowledge, ELT research methods, and teacher related knowledge. The findings can help training educated teachers to be familiar with various aspects of …
The Nature Of Teacher Learning In Collaborative Data Teams, Robert Michaud
The Nature Of Teacher Learning In Collaborative Data Teams, Robert Michaud
The Qualitative Report
As data teams have grown in popularity in recent years, they have been increasingly looked to by educational researchers because of the tantalizing prospect of combining teachers’ on the job professional development with increased and effective data use to drive instruction. Data teams have been increasingly implemented within schools by educational leaders attempting to take advantage of what teachers learn from each other in the context of a data team. Many conceptual models of data team function have been proposed, but few empirical studies have examined how teachers learn from collaborating with each other in a data team. This paper …
Word-Slam Stories As Venues For Stimulating Learning And Developing Agency With Urban High School Students, Elite Ben-Yosef, Limor Pinhasi-Vittorio
Word-Slam Stories As Venues For Stimulating Learning And Developing Agency With Urban High School Students, Elite Ben-Yosef, Limor Pinhasi-Vittorio
The Qualitative Report
Word-slam was used with our high school urban students as instrument and method to elicit engagement with learning and develop agency through personal storytelling. The word-slam text (as it appears on YouTube and in hard-copy format as well) was chosen due to its being a personal story and an alternative, artistic and critical form of text that our students could relate to directly as the format and content were relevant to their lives and experiences. By using the text as a mentor text and studying the author’s craft together, students were able to write, rewrite and develop their own word-slam …
Preservice Teachers’ Perceptions Of Students With Learning Disabilities: Using Mixed Methods To Examine Effectiveness Of Special Education Coursework, Renée A. Greenfield, Megan Mackey, Gretchen Nelson
Preservice Teachers’ Perceptions Of Students With Learning Disabilities: Using Mixed Methods To Examine Effectiveness Of Special Education Coursework, Renée A. Greenfield, Megan Mackey, Gretchen Nelson
The Qualitative Report
As the number of K-12 students with learning disabilities educated in general education classrooms grow, it is essential to examine the preparation and perceptions of pre-service teachers (N=15) who will educate students with learning disabilities. Within the context of an undergraduate learning disabilities method course, this study examined how pre-service teachers perceived students with learning disabilities as well as the effectiveness of particular course experiences, including fieldwork with students with learning disabilities, video vignettes, lesson planning, assigned reading, and center-based instruction, in shifting perceptions. Using a convergent, mixed method design, teacher educators at a university in the northeast used surveys, …
Mathematics Anxiety In Society: A Real Phenomena And A Real Solution, Joseph M. Furner, Carol A. Marinas
Mathematics Anxiety In Society: A Real Phenomena And A Real Solution, Joseph M. Furner, Carol A. Marinas
Transformations
While math anxiety still remains a real issue affecting student performance and confidence, today it is even more critical with the greater emphasis on producing more students for careers in STEM fields. In an effort to understand ways to ease math anxiety and encourage adaptive achievement behaviors to deal with such anxiety, this paper will explore the topic and provide research-based practices in providing a solution to this existing problem in our schools. There are many studies that show using technology in the teaching of mathematics will help to alleviate math anxiety and encourage students to enjoy learning mathematics. GeoGebra, …
Function Concept: Learning From History, Ruthmae Sears, Dung Tran, Seoung Woo Lee, Amanda Thomas
Function Concept: Learning From History, Ruthmae Sears, Dung Tran, Seoung Woo Lee, Amanda Thomas
Transformations
The importance of functions in school mathematics has grown tremendously within the past century. Functions have progressed from being scantly represented in school mathematics to being a core mathematical topic. C.B. Boyer (1946) acknowledged “The development of the function concept has revolutionized mathematics in much the same way as did the nearly simultaneous rise of non-Euclidean geometry. It has transformed mathematics from a pure natural science- the queen of the sciences- into something vastly large. It has established mathematics as the basis of all rigorous thinking – the logic of all possible relations” (Markovits, Eylor, & Bruckheimer, 1986, p. 18). …
Winter 2016, Transformations
When Two Wrongs Made A Right: A Classroom Scenario Of Critial Thinking As Problem Solving, Hui Fan Huang "Angie" Su, Frederick A. Ricci, Mamikon Mnatsakanian
When Two Wrongs Made A Right: A Classroom Scenario Of Critial Thinking As Problem Solving, Hui Fan Huang "Angie" Su, Frederick A. Ricci, Mamikon Mnatsakanian
Transformations
Educators from kindergarten through college often stress the importance of teaching critical thinking within all academic content areas (Foundation for Critical Thinking, 2007, 2013). As indicated by the position statements of the National Council of Teachers of Mathematics, high quality mathematics education before the first grade should use curriculum and teaching practices that strengthen children’s problem-solving and reasoning processes as well as representing, communicating, and connecting mathematical ideas” The joint position statement of NAEYC and the National Council of” (NAEYC & NCTM [2002] 2010, 3). Through the educational and academic institutions critical thinking is identified as an important outcome for …
The Problem-Solving Process In A Mathematics Classroom, Enrique Ortiz
The Problem-Solving Process In A Mathematics Classroom, Enrique Ortiz
Transformations
Problem solving provides a working framework to apply mathematics, and well chosen mathematics problems provide students with the opportunity to solidify and extend what they know, and can stimulate students’ mathematics learning (NCTM, 2001). Using this framework, students may utilize ways to learn mathematics concepts and skills that are rich with meaning and connections, and pre- and in-service teachers may implement teaching and assessment procedures to establish teaching and assessment environments.
Integrating Diversity Training Into Doctoral Programs In Mathematics Education, Ruthmae Sears, Tonisha B. Lane
Integrating Diversity Training Into Doctoral Programs In Mathematics Education, Ruthmae Sears, Tonisha B. Lane
Transformations
There exists a need to promote diversity, equity, and inclusion in mathematics education (Wilson and Franke, 2008). Being cognizant that there are few underrepresented groups that obtain doctoral degrees in mathematical sciences or mathematics education (AMS, 2014; Reys and Dossey, 2008), focused training is needed to prepare doctoral students on diversity issues that may arise in higher education and the means by to address such issues. An advance seminar course or colloquium that would be helpful to mathematics education doctoral students who seek a career position in higher education should be entitled, “Gaining a better perspective of diversity in higher …