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1.
What is the place of social theory in mathematics education research, and what is it for? This special issue of Educational Studies in Mathematics offers insights on what could be the role of some sociological theories in a field that has historically privileged learning theories coming from psychology and mathematics as the main theoretical frames informing research. Although during the last 10 years the term “socio-cultural” has become part of the accepted and widespread trends of mathematics education research when addressing learning, this issue gathers a collection of papers that depart from a “socio-cultural” approach to learning and rather deploy sociological theories in the analysis of mathematics education practices. In this commentary paper, we will point to what we see to be the contributions of these papers to the field. We will do so by highlighting issues that run through the six papers. We will try to synthetize what we think are the benchmarks of the social approach to mathematics education that they propose. We will also take a critical stance and indicate some possible extensions of the use of social theory that are not addressed in this special issue but nonetheless are worth being explored for a fuller understanding of the “social” in mathematics education. 相似文献
2.
The field of education is rich with metaphors that reveal one's perspective on the nature of teaching and learning—ideas are “covered,” students “absorb” information, teachers offer writing “clinics.” Each of these metaphors indicate nuanced ideas about what schooling is and is for—to be checked off? Taken in unquestioningly? For those who are sick? Two teacher educators in the field of early childhood education share insights from their own experiences in considering novice teachers' metaphors in their preparatory experiences, particularly wondering what these unveil about heretofore unanalyzed beliefs and what instructors can learn so as to form further instruction. Methods are shared and reflection led educators to find important instructional and relationship-building implications for working with novice teachers. 相似文献
3.
Kathleen Nolan 《Journal of Mathematics Teacher Education》2009,12(3):205-216
The current push to marry off mathematics with social justice compels one to ask such critical questions as “What is social justice?” and “How does (or can) mathematics look and act when viewed in/through the lenses of social justice?” Taking a critically reflective approach, this article draws the reader into a discussion of what is amiss in the currently promoted picture-perfect marriage of mathematics and social justice, presenting perspectives on both the content and context of mathematics teaching and learning. In this article, the author’s account of her experience in teaching a mathematics curriculum course for prospective middle years' teachers highlights a call to re-imagine the relationship between mathematics and social justice as more than a perfunctory integration of a “statistics and figures” approach. The author’s reflections acknowledge the complexity and potentiality of the relationship while challenging current status quo practices and paradigms in mathematics education. 相似文献
4.
Jrène Rahm 《Cultural Studies of Science Education》2016,11(1):61-75
Marta Civil’s paper “STEM learning research through a funds of knowledge lens” can be read as a story about her trajectory as a researcher of everyday and school mathematics over time, grounded in sociocultural historical theory. Building on her work, I explore three issues. First, I address the grounding of STEM research in studies of learning and show what this may imply in the context of multilingualism and transculturism. Second, I explore how funds of knowledge can put into question what counts as science. Third, I discuss some of the methodological challenges the article raises. I conclude with some comments to think with for the future of the STEM field and equitable science. 相似文献
5.
Many decades after the introduction of ICT into classrooms there are still unanswered questions about the impact of technology in the long and short term on students’ learning, and how it has affected simple and complex learning tasks. These are important for (a) forming government policies; (b) directing teacher education programmes: (c) advancing national curricula; (d); designing or reforming classroom implementation and (e) analysing costs and benefits. While a plethora of studies has been conducted on the effects of ICT in education, major policy and methodological problems have precluded an unambiguous answer to such questions as:—“Does the way in which ICT is implemented have a major/minor impact on students’ knowledge and understanding?” and “Does the impact affect the surface or deep structure of students’ thinking and acting?” To date we have had no large-scale longitudinal studies of ICT’s impact in education such as we have in the form of studies of earlier major curriculum development projects. Nor have we had many comprehensive studies of the complex interactions between various types of ICT implementation and the effects of other factors such as school-based interventions, socio-economic status and school expenditures which have been shown to have a greater impact on education compared with other previous innovations in education. Furthermore we do not know if previous research studies have used research methods that matched learning objectives to instruments/procedures. Many previous studies are vague as to the actual measures used but we can infer that standardized tests were a frequent measure. In other instances, ad hoc analyses, with criteria that may have varied from analyst to analyst and were not “blind” analyses were certainly used to measure “success.” All of these limitations and uncertainties and many more point to the need for a thorough, rigorous, and multifaceted approach to analysing the impact of ICT on students’ learning. This paper draws on previous research evidence to identify relevant research strategies to address the gaps in our knowledge about ICT and students’ learning explained above. 相似文献
6.
Patti Lather 《Cultural Studies of Science Education》2012,7(4):1021-1025
Given my long-time interests in neoliberalism and questions of subjectivity, I am pleased to respond to Jesse Bazzul’s paper, “Neoliberal Ideology, global capitalism, and science education: Engaging the question of subjectivity.” In what follows, I first summarize what I see as Bazzul’s contributions to pushing science education in ‘post’ directions. I next introduce the concept of “post-neoliberalism” as a tool in this endeavor. Finally, I address what all of this might have to do with subjectivity in the context of science education. I speak as a much-involved veteran of a version of the science wars fought out in education research for the last decade (NRC 2002). My interest is to use this “battle” to think politics and science anew toward an engaged social science, without certainty, rethinking subjectivity, the unconscious and bodies where I ask “what kind of science for what kind of politics?” 相似文献
7.
We illustrate and exemplify how the idea of reflection is framed by the enactive concept of “deliberate analysis”. In keeping with this frame, we do not attempt to define reflection but rather work on the question of “how do we do reflecting?” within such a frame. We set out our enactivist theoretical stance, in particular pointing to implications for how we can learn from experience and showing the role of “deliberate analysis”. We then describe, drawing on education literature, what is generally seen as the purpose of reflection and review some existing conceptualizations in mathematics education, pointing out where we draw distinctions. To illustrate how we do reflecting, we offer excerpts from two lessons of an expert teacher and the writing of a prospective teacher. We exemplify how reflecting as deliberate analysis leads to a way of working with teachers supporting them in handling multiple views and ambiguity, their actions being contingent upon their students’ actions in learning mathematics. 相似文献
8.
Thinking aloud together: A teacher’s semiotic mediation of a whole-class conversation about percents
How does classroom interaction support students’ apprenticeship into the ways of speaking, writing, and diagramming that constitute the practice of mathematics? We address this problem through an interpretative analysis of a whole-group conversation about alternative ways of solving a problem involving percent discounts that occurred in a sixth grade classroom. This research study draws upon Dewey’s theory of inquiry, Vygotsky’s cultural–historical psychology, Freudenthal’s realistic mathematics education, and Halliday’s systemic functional linguistics (SFL). From Freudenthal, we borrow the notions of mathematizing and guided reinvention—the former notion offers a view of mathematics as an activity of structuring subject matter and the latter one provides insights into the processes whereby mathematizing is learned and taught in the classroom. We glean from Dewey his view of reflective thinking as inquiry and the role that conversations may serve therein. We rely upon Vygotsky’s notions of a verbal thinking plane and a social phase of learning in order to reconsider the function of whole-class interaction in apprenticing students into mathematizing. Finally, SFL provides us with tools for explaining the choices of grammar and vocabulary students and teachers make as they realize meanings in whole-group conversations. Treating the selected whole-class conversation as a text, we focus our analysis on how this text came to mean what it did. Our central questions are as follows: What meanings were realized in the whole-class conversation by teacher and students and how were these meanings realized? How did the teacher’s lexico-grammatical choices guide the students’ choices? In addressing these questions, we advance an interpretation of the conversation as paradigmatic of students and teacher thinking aloud together about percents. 相似文献
9.
This study concerns teaching and learning development in science through collaboration between science teachers and researchers. At the core was the ambition to integrate research outcomes of science education—here ‘didactic models’—with teaching practice, aligned with professional development. The phase where the collaboration moves from initial establishment towards a stable practice is investigated. The study aims to identifying features of formation and exploring consequences for the character of contact between research and teaching. Specific questions are “What may be identified as actions and arrangements impacting the quality and continuation of the emerging practice?” and “What and in what ways may support teacher growth?” The analysis draws on practice architectures as a theoretical framework and specifically investigates the initial meetings as a practice-node for a new practice, empirically drawing on documented reflections on science teaching, primarily from meetings and communication. The results take the form of an analytical-narrative account of meetings that focused planning, enactment and reflection on teaching regarding the human body. We identify enabling actions such as collaborative work with concrete material from the classroom and arrangements such as the regular meetings and that the collaborative group had a core of shared competence—in science teaching and learning. Constraining were actions such as introducing research results with weak connection to practical action in the school practice and arrangements such as differences between school and university practice architectures and the general ‘oppression’ of teachers’ classroom practice. The discussion includes reflections on researchers’ roles and on a research and practice base for school development. 相似文献
10.
Simplest Shapes First! But Let's Use Cognitive Science to Reconceive and Specify What “Simple” Means
Children's informal and formal learning experiences with geometric shapes currently result in misconceptions that persist into adulthood. Here, we combine research from mathematics education as well as cognitive science pertaining to concepts, categories, and learning strategies to propose a more optimal progression that is better specified and justified than the current standards. To do so, we reframed what constitutes a “simple” shape from perceptual simplicity to simplicity of properties. Our Property-Based Shape Sequence uses property-based criteria of what makes shapes “simple” and progresses in a way that affords opportunities for learners to develop hierarchical conceptions of two-dimensional and three-dimensional shapes. Our goals are threefold: (1) recommend an optimal, mathematically-correct shape learning sequence, (2) correct misconceptions that adults and children harbor about shapes, and (3) encourage cross-disciplinary collaborations between mathematics education and psychology researchers to validate the proposed learning sequence. 相似文献
11.
Howard Woodhouse 《Interchange》2012,43(1):1-23
In several of his works, Alfred North Whitehead (1861–1947) presents mathematics as a way of learning about general ideas that increase our understanding of the universe. The danger is that students get bogged down in its technical operations. He argues that mathematics should be an integral part of a new kind of liberal education, incorporating science, the humanities, and “technical education” (making things with one’s hands), thereby integrating “head-work and hand-work.” In order to appreciate the role mathematics plays in modern science, students should understand its diverse history which is capable of bringing abstract ideas to life. Moreover, mathematics can discern the alternating rhythms of repetition and difference in nature constituting the periodicity of life. Since these same rhythms are to be found in his theory of learning as growth, there appears to be a pattern linking Whitehead’s approach to mathematics and his educational philosophy. 相似文献
12.
Megan H. Wickstrom 《Equity & Excellence in Education》2015,48(4):589-605
Creating equitable opportunities so all students can learn and succeed mathematically has been a key focus of mathematics education across several decades. Central to student achievement are students’ mathematical identity and their feelings of success during instruction. Researchers (e.g., Boaler & Staples, 2008) have shown that teachers can be particularly powerful in shaping students’ beliefs, feelings of success, and achievement, but few studies have investigated how teachers frame what it means to be successful or “smart” in mathematics. Through the social construct of smartness (Hatt, 2012) and the learning perspectives of incremental and entity theories (Blackwell, Trzesnieski, & Dweck, 2007; Yeager & Dweck, 2012), I examine how one teacher, Mrs. Purl, conceptualized what it meant to be smart in mathematics and how this perception changed slowly, over time, through repeated examination and discussion of individual student's thinking. As Mrs. Purl came to know her students at a personal level, she began to see that her perceptions were not always accurate and warranted reexamination. 相似文献
13.
Andrew J. Stapleton 《Cultural Studies of Science Education》2018,13(1):227-233
In response to the authors, I demonstrate how threshold concepts offer a means to both contextualise teaching and learning of quantum physics and help transform students into the culture of physics, and as a way to identify particularly troublesome concepts within quantum physics. By drawing parallels from my own doctoral research in another area of contemporary physics—special relativity—I highlight concepts that require an ontological change, namely a shift beyond the reality of everyday Newtonian experience such as time dilation and length contraction, as being troublesome concepts that can present barriers to learning with students often asking “is it real?”. Similarly, the domain of quantum physics requires students to move beyond “common sense” perception as it brings into sharp focus the difference between what is experienced via the sense perceptions and the mental abstraction of phenomena. And it’s this issue that highlights the important role imagery and creativity have both in quantum physics and in the evolution of physics more generally, and lies in stark contrast to the apparent mathematical focus and lack of opportunity for students to explore ontological issues evident in the authors’ research. By reflecting on the authors’ observations of a focus on mathematical formalisms and problem solving at the expense of alternative approaches, I explore the dialectic between Heisenberg’s highly mathematical approach and Schrödinger’s mechanical wave view of the atom, together with its conceptual imagery, at the heart of the evolution of quantum mechanics. In turn, I highlight the significance of imagery, imagination and intuition in quantum physics, together with the importance of adopting an epistemological pluralism—multiple ways of knowing and thinking—in physics education. Again drawing parallels with the authors’ work and my own, I identify the role thought experiments have in both quantum physics education and in physics more generally. By introducing the notion of play, I advocate adopting and celebrating multiple approaches of teaching and learning, including thought experiments, play, dialogue and a more conceptual approach inclusive of multiple forms of representation, that complements the current instructional, mathematical approach so as to provide better balance to learning, teaching and the curriculum. 相似文献
14.
Camilla Björklund 《Scandinavian Journal of Educational Research》2018,62(2):245-263
This is an empirical inquiry concerning children’s concept development and early mathematics teaching. The intention is to broaden the understanding of preschool children’s perceptions of the concept “half” (as 1 of 2 equal parts of a whole), in designed mathematics teaching settings. Three teachers working with 4–5-year-old children participate in an in-service program, involving continuous and cooperative reflection and theoretically designed teaching activities. Observations of pedagogical strategies and children’s responses reveal that: children show qualitatively different ways of experiencing the same concept; the ways of experiencing are critical for how the intended learning object is perceived; and the dimensions of the learning object are related to each other, suggesting a hierarchical organization of how to perceive aspects of “half.” 相似文献
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16.
New Trends in Swedish Educational Research 总被引：1，自引：0，他引：1
Tomas Englund 《Scandinavian Journal of Educational Research》2013,57(4):383-396
What new tendencies can be made out in Swedish educational research in the last three decades? Briefly, the following developments are described: In the 1970s, a long‐prevailing emphasis on quantitative research was challenged by a number of different qualitative methods. Traditional sociology of education, meanwhile, was challenged by the new sociology of education. During the 1980s, the dominant trend was a “didacticisation” of educational research, and here two main strands can be discerned, based in phenomenography and curriculum theory. Didactics very soon made its presence felt in educational policy, and in a major evaluation of Swedish educational research the two largely didactics‐based traditions of “teaching and learning” and “curriculum theory” were identified as internationally the most significant. In the 1990s, educational research took a “linguistic turn”—involving a wide‐ranging shift in emphasis towards language and communication—with the result that new perspectives emerged. In addition, the philosophy of education experienced a powerful renaissance, partly as a reflection of the new focus on language and communication, but also in other respects, leading to a reawakening of interest in both classical and modern philosophy (of education). 相似文献
17.
Rachelle K. Gould Nicole M. Ardoin Jennifer M. Thomsen Noelle Wyman Roth 《Environmental Education Research》2019,25(3):314-340
Decades of research emphasize that information alone rarely influences environmental behavior. We addressed the question of, “what, then, does influence environmental behavior?” by asking more specifically: what factors mediate the relationship between learning about environmentally related issues and engaging in environmentally related behaviors? Following Yin’s case study approach, we designed a California (USA)-based case study focused on four everyday-life activities: purchasing food, commuting, engaging in leisure activities, and interacting with mobile technology. We grounded the study in four propositions that previous sociological, psychological, and learning sciences research suggested might influence learning–behavior connections in complex everyday-life contexts. To address the propositions across the four cases, we conducted 197 short, semi-structured interviews grounded in a narrative, relational frame. Using thematic content analysis, we found support for three of our propositions as mediators of learning–behavior connections; we also uncovered two emergent themes. Our findings suggest a web of elements that affect learning–behavior connections; those elements offer insights for environmentally related programming. 相似文献
18.
In an attempt to address shortcomings revealed in international assessments and lamented in legislation, many schools are reducing or eliminating elective courses, applying the rationale that replacing “non-essential” subjects with core subjects, such as mathematics and language arts, will better position students in the global market. However, there is evidence that systematically pairing a core subject with another, complementary subject, may lead to greater overall learning in both subjects. In this paper, we analyze two subject area pairs—first and second language, and computer programming and mathematics—to demonstrate in what ways two subjects might complement each other. We then analyze the relationships between these pairs to better understand the principles and conditions that encourage what we call convergent cognition, the synergistic effect that occurs when a learner studies two complementary subjects. 相似文献
19.
Mercedes García Victoria Sánchez Isabel Escudero Salvador Llinares 《Journal of Mathematics Teacher Education》2006,9(2):109-128
This paper addresses issues linking research in student teacher learning with reflection on practice in mathematics teacher education. From a situated perspective on learning and practice, we explore our own practice as teacher educators while researching student teacher learning in our classrooms. We describe a study on student teacher learning, considering student teacher learning as a “process of becoming”, and how the results of this research have affected our development as mathematics teacher educators and members of a community of inquiry. Our work shows how in the mathematics teacher education context the relationship between theory and practice becomes an element of both teacher educator and researcher development. 相似文献
20.
我国数学教育学学科建设始于对“中学数学教材教法”相关问题的探讨,经历了作为一门课程的“数学教育学”、作为系列课程的“数学教育学”及作为学科群的“数学教育学”和“数学教育学”的主题研究繁荣等几个发展阶段,初步形成了具有中国特色的数学教育学学科。数学教育学是一门涉及数学、教育学、哲学、心理学、文化学、传播学、教育技术学、思维科学等有关内容的新兴交叉学科,在数学教育学的学科建设过程中,通过理论与实践两方面研究,形成了数学教育专门研究人员与一线教师组成的研究团队,发展、完善了有中国特色的数学教育学科体系。今后,数学教育学学科建设仍需关注理论体系建构、研究团队建设、研究视角拓展等问题。 相似文献