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Learning about the practice of teaching is a complex and ongoing business. While it may commence as initial teacher education, undertaken as tertiary study, it necessarily continues throughout a teacher’s professional career. This is recognized by employing authorities across many parts of the world as they make provisions for professional learning often characterized as “professional development,” mainly through short and longer generic courses. However, such provision may lack contextual coherence leading to an acknowledgement that the complexity of teaching may be better captured through systematic inquiry undertaken by practitioners into their own practices in the company of others. Such inquiry could investigate not only matters of significance in terms of actions and activities, but also take account of local and external relevant discourses and the arrangements of relationships with peers and students themselves mediated by a variety of factors, for example, social geography. Educational practice is best seen as a “living practice” constantly morphing and changing in accord with a dynamic world. It can be argued that inquiry-based learning is itself a practice-changing practice with a focus on a range of matters such as enhancing student learning outcomes through a profound understanding of how students learn via their agency as the consequential stakeholders able and willing to provide their teachers with honest and worthwhile feedback. As well practitioner inquiry may address what is worthwhile, fundamental and enduring, and seek to integrate current theories with practice.
Many so-called “improvements” and “reforms” in education are developed with little reference to that which teachers know and understand of their practice. They are developed for teachers rather than with teachers. As a redress it is essential that teachers themselves can articulate their practice and provide sustainable, plausible evidence of not only their achievements, but also the many matters that present ongoing challenges, for example: the impact of social media on classroom dynamics; technological innovation more generally; and state-wide testing regimes combined with international comparisons. Systematic inquiry can contribute not only to the professional learning of the practitioners who are so engaged, but also to the larger body of knowledge regarding professional practice. With this end in mind, it is essential that inquiry-based learning is both to the benefit of individual teachers as well as the broader profession itself and to act as an antidote to some of the less desirable features of the Global Education Reform Movement (GERM). Thus inquiry-based learning may be seen as a powerful reform in its own right.
Chris Forlin and Kuen-Fung Sin
Following the UNESCO initial statement in 1994 that inclusive schools were the most effective way to counter discriminatory approaches and attitudes toward students with a disability, international legislation and policy has evolved to challenge exclusionary practices and focus attention on equal opportunities for all learners. Inclusion in education is now accepted as a basic right and the foundation for a fairer and equal society. In opposition to earlier dual systems of regular and special education, inclusive education presents a changed paradigm in the way that learners with diverse needs are educated. Specifically, generalist teachers are now required to be able to cater to the needs of the most diverse student populations both academically and socially within regular classrooms.
In most regions, there has been a rather slow and lagging change in teacher preparation to support these new developments. It is frequently documented that new graduates and in-service teachers are not well prepared for managing inclusive classrooms and understanding differences among students. Many teachers will say that they require more professional learning opportunities about inclusive education than they currently receive. When teachers are appropriately trained, have positive attitudes toward including students with diverse abilities, and have access to appropriate resources and support, there are many good practices that become evident. Conversely, inadequate teacher education and a lack of suitable resources often inhibit teachers from developing the appropriate beliefs or attitudes necessary for becoming inclusive practitioners.
As the demand for better training of teachers about the inclusion of students with diverse abilities increases, the question that arises is what constitutes best-practice professional learning for upskilling teachers about inclusive education? While a variety of existing practices ranging from in-school support to system-wide approaches are employed globally, identifying which to use must be grounded in the context and specific needs of individual teachers and schools. This article provides a review of the range of models of whole-school methods, including focusing on teacher competencies, developing school and university links, engaging in collaborative scholarship, and establishing professional learning communities. System support is also examined, as this is critical to effective training. The Hong Kong model is cited as a good example of a collaborative government system/university partnership toward upskilling teachers about inclusive education. This model provides a realistic approach to addressing this issue when a longitudinal plan has been implemented to upskill regular class teachers in inclusive education, using initially an off-site training program followed by a school-based whole-school approach that may be of interest to many other systems. Consideration is also given to the training needs of education assistants who work in inclusive classrooms and their roles in supporting students. The importance of lifelong professional learning should underpin decisions regarding what model or approach to adopt, as student and teacher needs will undoubtedly change over time.
Concerns about intellectual property in education typically involve administrative interest in improving institutional compliance with copyright and patent laws. The focus on compliance, rather than on intellectual property as an area of educational inquiry for students raises two questions: Are educational institutions adequately preparing students (a) to participate in a global economy that is increasingly driven by intellectual property and (b) for a future in which the creation and distribution of intellectual property is being reshaped by the emerging digital era? The educational value of intellectual property begins, however, with history of the concept in which learning played a strong role in giving shape to the idea of text as an intangible good associated with distinct properties, rights, and responsibilities, with all of this taking place well before the 18th-century introduction of the modern concepts of copyright and patent law. In light of this history and its contemporary standing, intellectual property has much to offer as a way for students and teachers to gain insight into the nature of creative work in relation to private property and the public domain. While education benefits from exceptions made for “fair use” and other exemptions in copyright law, the digital era has seen the introduction of new intellectual property strategies that support the collective educational enterprise, including Creative Commons licensing, open educational resources, open access to research, and open source software. While intellectual property has played a small part in business education and composition classes in the past, a number of innovative programs now involve students in different approaches to balancing the private and public interests associated with this concept, suggesting the value that intellectual property holds, as a teachable topic, for the curriculum and for thinking, more broadly, about education’s role as a public good.
Robert J. Sternberg
Intelligence is commonly viewed as the ability to learn from experience as well as to adapt to the surrounding environment. There are several approaches to understanding intelligence, including the psychometric, cognitive, biological, cultural/contextual, and systems approaches. Each approach places an emphasis on different psychological aspects of intelligence as well as on different ways of investigating it. The psychometric approach is largely based on statistical methods, especially factor analysis. The cognitive approach studies mental representations and processes. The biological approach is largely brain based. The cultural/contextual approach emphasizes the role of culture in defining what constitutes intelligence in a given cultural setting. And the systems approach looks at intelligence in terms of complex systemic interactions. Two systems theories are Howard Gardner’s theory of multiple intelligences and Robert Sternberg’s theory of successful intelligence. Gardner’s theory argues that there are eight distinctive intelligences, whereas Sternberg’s theory argues that intelligence comprises creative, analytical, practical, and even wisdom-based skills.
Intelligence appears to be at least somewhat malleable. A number of programs have had modest to moderate success in helping people to improve their intelligence. These programs work best if they are sustained. They work less well if used only for short periods of time. Schooling is one way of increasing intelligence.
The Flynn effect shows modifiability of intelligence across secular time. During the 20th century, IQs rose roughly 30 points worldwide, or 10 points per decade. These results suggest that environment can have a powerful effect, at least on IQ and over a generational time span. However, the increases experienced in the 20th century are not being experienced worldwide in the 21st century.
The term “interculturality” acknowledges the complexity of locations, identities, and modes of expression in a global world and the desire to raise awareness, foster intercultural dialogue, and facilitate understanding across and between cultures. Intercultural arts is a critical component of interculturality.
One of many global educational imperatives is to further understanding and engage critically in what constitutes intercultural arts. Intercultural arts practitioners and researchers play a significant role in this undertaking. A close examination of intercultural arts work and encounters unravels complex relationships among arts disciplines and ways to conceptualize and understand intercultural arts travels. Intercultural arts research sheds new insights into shared cultural and intercultural futures that need to be reimagined and co-created with a sense of ethical obligations, exploration, openness, and reflexivity. This leads to embracing a multiperspective worldview that addresses and celebrates the embodied nature of intercultural arts practices across global contexts: a worldview that is continually constructed, dynamic, and fluid, existing both within and between locations, and that connotes a particular type of ethical educational space.
The study of interculturality in today’s society in general, and in actual intercultural arts practice in particular, is indispensable. For educators who want to engage in researching their professional practice in the “field” of intercultural arts, “field” is a useful agricultural metaphor for the various processes and tools used in researching intercultural arts practice. Social researchers talk, for example, about “entering the field” and “gathering” data as if venturing into the world to harvest material for processing (analysis) before its eventual distribution and consumption by a society hungrily seeking new information to build up its body of knowledge and increase its capacity for growth and improvement. However, for education practitioners researching their own professional practice, and their journey into and focus on “intercultural arts,” it will feel much more fluid and uncertain than being on dry land, and it will require them to locate and address the overlap of practice and ethical agendas in educational research.
Interdisciplinary curricula provide students the opportunity to work with knowledge drawn from multiple disciplines. Following suit, interdisciplinary learning requires interaction of knowledge from different disciplines; integration of knowledge from different disciplines; and an overarching topic, theme, or problem that shapes the learning experience. Since the university curriculum is commonly structured by academic disciplines, and faculty are socialized to their respective disciplinary norms, interdisciplinarity is a complex endeavor for colleges and universities. These endeavors include developing interdisciplinary courses, sustaining interdisciplinary initiatives, and financing interdisciplinary programs.
Given the multiple challenges facing 21st-century society, the question of interdisciplinarity is urgent. How knowledge is defined and disseminated; how and what students learn; and how higher education can be responsive to its external environment are crucial issues facing educators. Responding to these issues does not diminish the role of the discipline in education, but rather acknowledges that knowledge is unbounded and potential discoveries lie outside compartmentalized structures.
Poi Kee Low
With the growing diversity of professions working in schools, interdisciplinary partnership and collaboration are growing quickly the world over. Apart from traditional teaching and learning concerns, awareness of children and youth mental health issues and socio-emotional wellbeing, grew readily since the 2000s. Rising in tandem with this trend is the number of psychologists, social workers, and counselors joining educators to support children and young persons in schools. Challenges such as misconception of roles, differing perceptions as well as cross-disciplinary misunderstanding threaten to prevent concerned professionals in working collaborative to help children and young persons in need. Fortunately, this aspect of interdisciplinary partnership in schools gains the much-needed attention in research from Asia and the Middle East to Europe and the Americas. Models and frameworks suggesting best practices for interdisciplinary collaboration emerged in school psychology, counseling and social work literature. Also growing in tandem is research in methods of measurement and evaluation of such collaboration as well as studies on pre-service professional training on interdisciplinary collaborative skills in the related disciplines.
James H. Williams
This article looks broadly at the intersection of education, development, and international cooperation. It discusses trends in international cooperation in education for developing countries as well as ongoing challenges. Education has expanded rapidly throughout the world. Even so, the industrialized nations are decades if not generations ahead of parts of the developing world in terms of enrollment and learning attainment. For reasons of equity and economic development alone, it is imperative that all efforts be put to the task of achieving universal school enrollment and learning. To achieve such a goal in the context of what some researchers have termed a 100-year gap requires efforts on the part of national governments and international cooperation on the part of all nations of the world. International cooperation in education includes: (1) the institutions and architecture of international organizations; (2) development assistance, which is closely related; and (3) international agreements to promote education and other development goals. In a broad sense, these initiatives can be seen as moving toward increasingly cooperative relationships between wealthier nations and developing countries. International institutions involved in education include various agencies of the United Nations (UNESCO, UNICEF, ILO, UNHCR) as well as multilateral development banks (the World Bank, IMF, IDA, etc.); regional development banks (Asian Development Bank, Inter-American Development Bank, etc.); and bilateral development agencies. Development assistance is provided in the form of technical and financial assistance to national governments by bilateral development agencies, the multilateral development agencies, UN agencies, as well as an increasing number of non-governmental agencies (NGOs). The UN Declaration on Human Rights and the Convention on the Rights of the Child are foundational documents laying out the rights of all children to education and the obligation of governments to ensure children have access to quality education. Several global initiatives have led the way toward increasing educational participation in developing countries, including Education for All, the Millennium Development Goals, the UN Global Education First Initiative, and the Sustainable Development Goals. The article concludes with a listing of trends in educational development.
Ensuring quality teachers and quality teacher education programmes have been fundamental global concerns over the decades. High quality teachers are critical to the future development of national educational systems and economic vitality. Teachers’ quality and professionalism are closely linked to their professional standards, preparation and development. Teacher education, therefore, plays a central role in preparing quality teacher and also laying foundation for the development of teacher as a professional. Worldwide, professional standards, teacher standards, teaching- leaning standards and teacher education standards are considered instrumental for improving teacher preparation, their quality and professionalism. In this context, it becomes pertinent to deliberate upon the multiple standards frameworks in operation and how these frameworks are informing teacher education programmes for preparing quality teachers.
The discourses on standards and benchmarking provide effective platforms for measuring and improving performance, practice, and knowledge of teachers. Standard framework can be considered a diagnostic approach to the delivery of education which evolves through research and practice to generate new knowledge and to maintain an accountable profession. The analysis of teacher standards in both developed and developing countries clearly indicates that standards contribute to the professionalization of teaching and raise the status of the profession. Therefore standards and quality dimensions form the cornerstone for the teacher education policy, planning, and implementation.
The ideas, concepts, and constructs for standards and benchmarking in teacher education are derived from comparative perspectives and implications on quality dimension processes. The concepts of standards and benchmarks in teacher education around the globe are interpreted and used in diverse ways. The developed countries of the world have specific or explicit teacher education standard frameworks, as per their country-specific expectations and requirements. Countries such as the United States of America, Australia, Canada, Scotland, and Singapore have exclusive standards frameworks for initial teacher education. Singapore and Finland have recognised the implication of teacher education standards and benchmarking on improving teaching profession. The implementation of standards is considered an important part of the solution to the problem of assessment, accreditation, and maintenance of teacher quality by the United States of America and Australia. Acknowledging the potential of standards to raise teacher quality, the East and South Asian countries are using implicit models by drawing essence from teacher, teaching and learning and professional standards frameworks as guiding reference for teacher education .The comparative analysis of standards frameworks across different countries reveals common features such as professional knowledge, professional competencies, professional skills, and professional conduct. Therefore, it can be argued that teaching learning and professional standards make teacher education programmes accountable to deliver quality and to prepare competent teachers.
Though the use of a standards framework is highly acknowledged, it is equally critiqued by many researchers. In order to substantiate the deliberation, the major question of whether standard frameworks are facilitating teacher education or act as a trap can be explored. This question rallies around both the merits and demerits of the multiple use of standards in teacher education. Though explicit and implicit models for teacher education standards are in operation, it is recommended that standard framework should be flexible and dynamic in nature in order to be replicated and adopted by various teacher education programs. Despite the raised criticism, once can argue that standards frameworks are necessary for ensuring teacher education quality. The teacher education framework model necessitates continuous research and innovation support to make it more dynamic and contextual.
Maria Luísa Quaresma and Cristóbal Villalobos
Elites can be understood as a group of people in possession of the highest levels of economic, social, cultural, and political capital. For this reason, these groups are considered key actors in understanding social inequality, the configuration of social structures, and the distribution of power within societies.
In the field of education, elites tend to concentrate in a small, select group of schools and universities, forming a social context that is key to understanding processes of (social) mobility and the reproduction of social positions.
The indisputable relevance of education in both the formation and consecration of elites make it almost impossible not to focus in the educational system when one is called to problematize the power of elites.
Through a literature review surveying the available literature within the field as well as examples of previous research, principle epistemological, conceptual, and empirical frameworks necessary to address interviews with elites in the educational sphere can be observed. The chapter review three critical dimensions of the interview process: (a) design, analyzing aspects such as the potentialities and limitations of the different types of interviews, the issue of validity and, the question about the distance between interviewer and interviewee (b) contact and consent to participate, studding the identification, contact and pre-meeting stage and (c) the interview process, analyzing aspects such as the place of the interview, the cultural aspects involved in any interview, the objective and purpose of the interview, the knowledge and skills that the interviewer must display, and the dispute over the power and status that is displayed in this type of interaction. Researchers who study education and/or elite social classes and who want to deepen their understanding of a group of people might refer to this qualitative research process of studying elites in the educational field.
Interviews are frequently used in ethnographic research, but it is argued that they pose particular difficulties in interpretation. While ethnographers are interested in understanding how people construct and interpret cultures in their natural settings, interviews are based on rules that counteract most normal interactions. Thus interviews in ethnography can only be interpreted within the context of that wider ethnography and the data generated has to be tested against other data generated by different means and data generated in other interviews.
Although some ethnographers avoid the use of interviews, others use a range of different forms of interviews. It is argued that Basil Bernstein’s concepts of classification and framing can be used to clarify the range of forms and to highlight the potential relationships between the form of interview and class, gender, and ethnicity.
Intuition is a mode of consciousness wherein content is perceived by sudden, direct awareness. Intuition sees the wholes of things, perceiving patterns, and making connections. Intuitive awareness occurs to the conscious mind without any identifiable processing, cognitive or otherwise. The intuitive mode is useful for creativity, problem solving, decision making, and all forms of discovery. Scholars have addressed intuition in education by drawing attention to its possibilities for professional practice, and by theorizing how intuition can be harnessed to improve educational outcomes. Intuition offers an important balancing effect to the hegemony of rational analysis, but like everything to do with consciousness, its function is not well understood. Philosophers of education often conceptualize intuition as a form of expertise, relying on Gladwell’s Blink as a referent to the experience. But intuition encompasses a broader range of experience; so-called parapsychological experiences such as telepathic communication and pre-cognitive awarenesses are also common intuitive experiences and need more attention by educators. It is possible to learn to improve the intuitive function. Such training involves cultivating an acceptance of uncertainty and pursuing a depth of self-awareness so that intuitive content can be distinguished from projection, fear, and simple guesses.
There are at least three approaches to Islamic education: interpretive, critical, and deconstructive understandings of Islamic education. These mutually intertwined approaches to Islamic education lend themselves to various practices through which they engender specific human actions. In the main, the notion of Islamic education can be attentive to some of the ethical dilemmas in the contemporary world, such as human trafficking, global warming, and global terrorism. First, education in Islam is constituted by the notions of hudā (guidance), tarbiyyah (socialization), and hikmah (wisdom)—underlying meanings that give Islamic education its distinctive form. These are also referred to as three intertwined theoretical approaches to Islamic education. In turn, these concepts can give rise to various human actions referred to as practices of Islamic education. Therefore, second, the aforementioned educative concepts engender a’māl (human actions) that can be responsive to undermining ethical dilemmas in the contemporary world, such as ijtihād (individual striving), shūrā (dialogical/deliberative engagement), and ummah (communal action). As a consequence of the prevalence of major ethical predicaments in and about Islamic education in especially the Arab and Muslim world, it is argued that dilemmas of parochialism and male chauvinism, religious and ideological differences, and Islamophobia can most appropriately be addressed through critical and responsible human action. Therefore, third, the a’māl of ijtihād (individual striving), shūrā (dialogical/deliberative engagement), and ummah (communal action) can cultivate responsibility, humanity, diversity, and concern for the other in dealing with the aforementioned human predicaments.
Islamophobia is a term used to describe society’s phobic reaction to a certain religious or ideological group. Historically, the coined word Islamophobia has been manipulated into various constructs, which pose a microcosm-macrocosm challenge for educators over whether or not the education system can act as a platform for better understanding what is currently transpiring in the world. It is in the classroom that educators and students can grapple with the sociophobic situation and pull apart the two sides of Islam and phobia. In the classroom there are learning opportunities that can foster critical new understandings about why social phobias exist and challenge, through an antiphobic curriculum, the fear and indifference of otherness. New and higher levels of immigration in the Western world, rising tensions in non-Muslim populations, and the baggage of history have brought us to a critical turning point. Educators can respond positively and constructively to this challenge and opportunity and help to steer the course. Although Islamophobia is present in many countries worldwide, assimilationist policies vary from country to country. Nonetheless, individual countries, including the United Kingdom, Canada, the United States, Australia, and in those in Western Europe, have their own takes on Islamophobia. Since 9/11 there has been significant agreement among scholars that societal changes can be constructed through the systematic employment of specific curricular initiatives. These initiatives call into question the traditional trajectory of how the sentiments of Islamophobia can be successfully countered in the classroom to reduce sociophobic tensions and increase cultural and linguistic awareness. This can happen through culturally sustaining pedagogy, whose primary objective is to embrace literate, linguistic, and cultural pluralism in the school system. Education has tremendous power to challenge phobic perspectives and move beyond the traditional realm of what has historically been the norm in the classroom.
Jan Amos Comenius (b. 1592) is widely recognized as a pivotal figure in the history of educational thought. Living during a period of great turmoil he promoted universal schooling as the means to engineer a perfectly harmonious world. His argument turned upon claims to scientific knowledge and a didactic method that could instill truth in all minds. As the ever expanding scholarship on Comenius demonstrates, many still find inspiration in this visionary project. But Comenius’ work must be read in the context of Early Modern thought. Convinced that life was situated in the divinely crafted cosmos pictured in the Book of Genesis, his overarching goal was to restore “the image of God in man” and realize the Golden Age depicted in prophecy. The school was to be a workshop for the reformation of mankind, a place to manufacture of right thinking and right acting individuals. I explore these epistemological and pedagogic arguments and demonstrate their role in his hugely successful Latin primer, Orbis pictus (1658). Comenius, I conclude, was a revolutionary thinker who married subtle observations about the process of learning with sophisticated instructional practices. However, given current views about human nature and the social good, these principles cannot be applied uncritically to contemporary educational problems.
Margaret Schmidt and Randall Everett Allsup
John Dewey’s writings on schooling are extensive, and characteristically wide-ranging: teachers are expected to think deeply about knowledge construction, how we think and learn, the purpose of curriculum in the life of the child, and the role of school and societal reform. He worked throughout his life to develop and refine his philosophy of experience, describing all learning as defined by the quality of interactions between the learner and the social and physical environment. According to Dewey, teachers have a responsibility to structure educational environments in ways that promote educative learning experiences, those that change the learner in such a way as to promote continued learning and growth. The capacity to reflect on and make meaning from one’s experiences facilitates this growth, particularly in increasing one’s problem-solving abilities.
While Dewey wrote little that specifically addressed the preparation of teachers, his 1904 essay, “The Relation of Theory to Practice in Education,” makes clear that he grounds his beliefs about teachers’ learning in this same philosophy of experiential learning. Dewey argued that thoughtful reflection on previous and current educational experiences is especially important in teacher preparation; teacher educators could then guide beginners to examine and test the usefulness of the beliefs formed from those experiences. Teacher educators, therefore, have a responsibility to arrange learning environments for beginning teachers to promote sequential experiences leading to increased understanding of how children learn, “how mind answers to mind.” These experiences can then help beginning teachers grow, not as classroom technicians, but as true “students of teaching.”
Dewey’s ideas remain relevant, but must also be viewed in historical context, in light of his unfailing belief in education and the scientific method as ways to promote individual responsibility and eliminate social problems. His vision of a democratic society remains a fearless amalgam of human adaptation, continuity, change, and diversity: public schools are privileged locations in a democracy for the interplay and interrogation of old and new ideas. Teacher preparation and teacher wellbeing are crucial elements; they can provide experiences to educate all children for participation in their present lives in ways that facilitate their growth as citizens able to fully participate in a democracy. Despite criticism about limitations of his work, Dewey’s ideas continue to offer much food for thought, for both research and practice in teacher education.
John P. Miller
This is an advance summary of a forthcoming article in the Oxford Research Encyclopedia of Education. Please check back later for the full article.
Holistic education as a field of inquiry began in the 1980s. Prior to this time, this field was referred to as humanistic education, confluent education, affective education, or transpersonal education. The work of Carl Rogers and Abraham Maslow inspired many educators working in these areas. In 1988 The Holistic Education Review under the editorship of Ron Miller was first published along with The Holistic Curriculum by John Miller. However, as a field of practice, holistic education can first be found in indigenous education. Historically, Socrates, Rousseau, Pestalozzi, Froebel, Bronson Alcott, and Tolstoy can be viewed as working within a holistic frame.
What is that frame? It is educating the whole person: body, mind, and spirit. Today, at every level, education focuses on skills and a narrow view of the intellect. The body receives little attention while the spiritual life of the student is ignored. This approach views the student as a brain on a stick. In contrast, the holistic curriculum attempts to reach the head, hands, and heart of the student.
The other main principle of holistic education is connectedness. Connectedness is one of the fundamental realities of nature. In contrast, the curriculum at every level, except perhaps for kindergarten, is fragmented as knowledge is broken down into courses, units, lessons, and bits of information. Rarely are there attempts to show how knowledge is interconnected. Holistic education seeks to be in harmony with how things actually are by focusing on connections. Six connections are at the core of the holistic curriculum: connections to the earth, community, subject integration, intuition/logic, body/mind, and soul. There are many models of holistic education in practice. They range from more structured approaches such as Waldorf education to schools such as Summerhill and Sudbury Valley that give students a great deal of choice. Despite these differences, each of these schools views the child as a whole human being.
Kristie J. Newton, Christina A. Barbieri, and Julie L. Booth
Mathematics learning encompasses a broad range of processes and skills that change over time. Magnitude and equivalence are two fundamental mathematical ideas that students encounter early and often in their mathematics learning. Numerical magnitude knowledge is knowledge of the relative sizes of numbers, including whole numbers, fractions, and negative numbers, within a given scale. Understanding mathematical equivalence means understanding that two or more specific quantities with the same value can be represented in a variety of ways and remain equal and interchangeable. A major area of research on equivalence is knowledge of the equal sign. Both equal sign knowledge and magnitude knowledge are foundational in that they predict later learning in mathematics, including algebra. Implications for practice include the use of number lines and more variation in the way that arithmetic problems are formatted.
Danilo Romeu Streck and Telmo Adams
Since the second half of the 20th century, research practices in social science and the humanities in Latin America and the Caribbean have been developed alongside criticisms of positivist methodologies. Some of the main interventions are reviewed by scholars such as Orlando Fals Borda, João Bosco Guedes Pinto, Michel Thiollent, Paulo Freire, Carlos Rodrigues Brandão, and Oscar Jara. Participation is central to all of these, but each contain nuances that must be identified, explained, and analyzed. Furthermore, these interventions relate to the field of popular education or, more broadly, to practices associated with critical educational proposals.
Sally J. Zepeda, Ahmed M. Alkaabi, and Mark D. Tavernier
Supervisory leadership must be enacted as a daily and persistent practice to support teachers’ efforts to educate children, despite the constant influx of accountability demands and requirements from internal and external forces that often distract from the core function of teaching and learning. As a field, supervision has progressed from autocratic practices used to inspect and control teachers to more developmental and differentiated forms to support teachers’ own wish to evaluate, understand, and improve their practices. The tensions between supervision as a support and the summative aspects of evaluation continue to polarize the teacher–supervisor relationship.
Supervisory leadership is a collaborative process that builds cultures of trust and risk-taking. Supervisory leadership connects supervision, teacher evaluation, and professional development to support teacher growth and development. Embedded in these processes are the principles of adult learning and career-stage theory to accommodate various needs to foster cognitive development and enhance instructional practices.