Mathematics teachers' reflective thinking: Level of understanding and implementation in their professional practices.
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ABSTRACT:
SUBMITTER: Aldahmash AH
PROVIDER: S-EPMC8496853 | biostudies-literature |
REPOSITORIES: biostudies-literature
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Project description:Considering how spatial thinking connects to Science, Technology, Engineering and Mathematics (STEM) outcomes, recent studies have evaluated how spatial interventions impact elementary students' math learning. While promising, these interventions tend to overlook other factors affecting math learning; perceptions of math abilities, beliefs about math, and math anxiety can also impact math performance. Additionally, perceptions of spatial skill and spatial anxiety impact spatial performance. This study investigated how elementary teachers' perceptions of spatial thinking connects with math perceptions. Specifically, we focused on teachers' attitudes and beliefs around three topics: teaching and learning math, spatial abilities, and spatial thinking in mathematics. We found that lower spatial anxiety related to lower anxiety about teaching math, greater alignment between math beliefs and math standards, and greater efficacy in teaching and learning math. Further, a factor analysis showed one factor that connected stereotypical math thinking with both math and spatial anxiety, and another that connected spatial competencies, teaching and learning math, and spatial thinking within math. To further evaluate spatial thinking in math, we introduced a math categorization and verified it using teachers' ratings of teaching difficulty, visualization helpfulness, and spatial-thinking involvement. Structural equation models revealed that the level of spatial-thinking categorization was the best model of all three of the teachers' ratings. Overall, results showed numerous connections between teachers' attitudes and beliefs about mathematics and spatial thinking. Future intervention studies should consider teachers who are spatial and/or math-anxious, and future research should investigate the role of stereotypical thinking in spatial and math anxiety.
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Project description:Background:This research highlights a school-university collaboration to pilot a professional development framework for integrating STEM in K-6 mathematics classrooms in a mid-Atlantic suburban school division. Because mathematics within STEM integration is often characterized as the calculations or the data representations in science classrooms, technology labs, or outside-of-school programs, developing a reasonable and realistic conceptualization of STEM integration for mathematics teachers and coaches may be especially challenging. Using design-based implementation research, university facilitators worked with eight mathematics teachers and coaches to construct an accessible vision of STEM integration built upon the design features of model-eliciting activities (MEAs). The research team strategized a flexible and fluid professional development that would (1) situate participants' breadth of experiences on a STEM curriculum integration continuum; (2) elicit a new vision of STEM integration through open-ended mathematics problems with client-driven, real-life contexts; and (3) focus on making mathematics content explicit. Results:Qualitative analysis of participant discussions and written reflections from a four-day summer institute indicates that the daily tailoring of the professional development design supported an evolving participant envisioning of STEM integration. Opportunities to engage with MEAs as learners, contrast MEAs with problem-based learning and draw from MEA design features to modify existing curricular tasks allowed participants to think more broadly about mathematics content within STEM integration. Participants communicated a readiness to use MEAs as a vehicle for K-6 STEM integration which maintains an important grounding in the teaching realities of grade-level standards and standardized test preparation. They also acknowledged the need for ongoing support as they considered the challenges of curricular pacing and administrative expectation. Conclusions:The researchers continued to support the school division during monthly academic-year professional development sessions as the teachers and coaches created and enacted prototype lessons. Their shared investment in building STEM integration capacity with a specific focus on mathematics content can offer a model for STEM integration using MEAs that challenges one-size-fits-all professional development, encourages STEM instructional leadership, and promotes mathematical readiness for STEM citizenship and careers.
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Project description:The aim of this study was to contribute to knowledge about classroom assessment by identifying profiles of teachers' assessment of their students' understanding of mathematics. For carrying out this study we used data of a nationwide teacher survey (N = 960) in the Netherlands. The data were collected by an online questionnaire. Through exploratory factor analyses the underlying structure of what is measured by this questionnaire was uncovered as consisting of five factors: Goal centeredness of assessment, Authentic nature of assessment, Perceived usefulness of assessment, Diversity of assessment problem format, and Allocated importance of assessing skills and knowledge. By using a latent class analysis four different assessment profiles of teachers were identified: Enthusiastic assessors, Mainstream assessors, Non-enthusiastic assessors, and Alternative assessors. The findings suggest that teachers with particular assessment profiles have qualitatively different assessment practices. The paper concludes with discussing theoretical implications of these assessment profiles and indications these profiles can offer both for designing material for professional development in classroom assessment and for evaluating changes in teachers' classroom assessment practice.
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Project description:Transferring current research findings on the topic of learning and memory to "brain-based" learning in schools is of great interest among teachers. However, numerous international studies demonstrate that both pre-service and in-service teachers do not always succeed. Instead, they transfer numerous misconceptions about neuroscience, known as neuromyths, into pedagogical practice. As a result, researchers call for more neuroscience in teacher education in order to create a professional understanding of learning and memory. German pre-service science teachers specializing in biology complete neuroscientific modules (human biology/animal physiology) during their studies because they are expected to teach these topics to their students. Thus, they are required to demonstrate a certain degree of neuroscience literacy. In the present study, 550 pre-service science teachers were surveyed on neuromyths and scientific concepts about learning and memory. Pre-service science teachers' scientific concepts increased over the course of their training. However, beliefs in neuromyths were independent of participants' status within teacher education (first-year students, advanced students, and post-graduate trainees). The results showed that 10 neuromyths were endorsed by more than 50% of prospective science teachers. Beliefs in the existence of learning styles (93%) and the effectiveness of Brain Gym (92%) were most widespread. Many myths were endorsed even though a large share of respondents had thematically similar scientific concepts; endorsement of neuromyths was found to be largely independent of professional knowledge as well as theory-based and biography-based learning beliefs about neuroscience and learning. Our results suggest that neuromyths can exist in parallel to scientific concepts, professional knowledge and beliefs and are resistant to formal education. From the perspective of conceptual change theory, they thus exhibit characteristic traits of misconceptions that cannot simply be counteracted with increased neuroscientific knowledge. On the basis of our study's findings, it can be concluded that new teacher programs considering neuromyths as change-resistant misconceptions are needed to professionalize pre-service science teachers' neuroscience literacy. For this, an intensive web of exchange between the education field and neuroscientists is required, not just to deploy the latest scientific insights to refute neuromyths on learning and memory, but also to identify further neuromyths.
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Project description:INTRODUCTION:Calls for enabling 'critical thinking' are ubiquitous in health professional education. However, there is little agreement in the literature or in practice as to what this term means and efforts to generate a universal definition have found limited traction. Moreover, the variability observed might suggest that multiplicity has value that the quest for universal definitions has failed to capture. In this study, we sought to map the multiple conceptions of critical thinking in circulation in health professional education to understand the relationships and tensions between them. METHODS:We used an inductive, qualitative approach to explore conceptions of critical thinking with educators from four health professions: medicine, nursing, pharmacy, and social work. Four participants from each profession participated in two individual in-depth semi-structured interviews, the latter of which induced reflection on a visual depiction of results generated from the first set of interviews. RESULTS:Three main conceptions of critical thinking were identified: biomedical, humanist, and social justice-oriented critical thinking. 'Biomedical critical thinking' was the dominant conception. While each conception had distinct features, the particular conceptions of critical thinking espoused by individual participants were not stable within or between interviews. DISCUSSION:Multiple conceptions of critical thinking likely offer educators the ability to express diverse beliefs about what 'good thinking' means in variable contexts. The findings suggest that any single definition of critical thinking in the health professions will be inherently contentious and, we argue, should be. Such debates, when made visible to educators and trainees, can be highly productive.
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Project description:BackgroundBedside teaching is an important modality for training medical students and postgraduate trainees in clinical settings. Despite its significance, the effective practice of Bedside teaching has been declining over the past few decades. The literature highlighted the need for structured training, assessment, and certification or in other words entrustment of bedside teachers. The current study aims to develop and validate the Entrustable Professional Activities (EPAs) for bedside clinical teachers.MethodsA multi-method study with clinical teachers, medical educationists, and postgraduate medical students was conducted from July 2021-22. First, a nominal group using the jigsaw puzzle technique was conducted with 16 participants to identify EPAs. Then these EPAs were mapped and validated by the skills/competencies identified in the literature. Next, the EPAs were evaluated using the EQual rubric by 3 medical educationists. This was followed by two-rounds of modified Delphi to develop consensus among 90 participants in round-one and 69 in round-two. For qualitative data, a thematic analysis was conducted. For quantitative data, means and standard deviations were calculated.ResultsThe study identified five EPAs for bedside clinical teachers: developing bedside teaching program, planning bedside teaching session, conducting bedside teaching, conducting bedside assessments and evaluating bedside teaching.ConclusionsThis study comprehensively developed and validated a full description of EPAs for bedside clinical teachers. The EPAs identified in the study can serve as a guiding framework for bedside clinical teachers' training, assessment, and entrustment.
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Project description:IntroductionThere has been a recent transition from the use of "competencies" to "entrustable professional activities" (EPAs) in medical education assessment paradigms. Although this transition proceeds apace, few studies have examined these concepts in a practical context. Our study sought to examine how distinct the concepts of competencies and EPAs were to front-line clinical educators.MethodsA 20-item survey tool was developed based on the University of Calgary Department of Family Medicine's publicly available lists of competencies and EPAs. This tool required participants to identify given items as either a competency or an EPA, after reading a description of each. The tool was administered to a convenience sample of consenting clinical educators at 5 of the 14 training sites at the University of Toronto Department of Family and Community Medicine in 2018. We also collected information on years in practice, hours spent supervising per week, and direct involvement in medical education.ResultsWe analyzed a total of 60 surveys. The mean rate of correct responses was 45.3% (+/- 21.8%). Subgroup analysis failed to reveal any correlation between any of the secondary characteristics and correct responses.ConclusionClinical educators in our study were not able to distinguish between competencies and EPAs. Further research is recommended prior to intensive curricular changes.
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Project description:Background:Determining whether a professional development program can be enacted with integrity in different settings and by different facilitators is critical to understanding efficacy. In this paper, we describe the two-stage preparation process of a facilitator as she prepared to use and adapt the highly specified Learning and Teaching Geometry video-based professional development materials with fidelity. The latter stage of the preparation process involved a rehearsal, during which the research team used two instruments to measure fidelity. Methods:Two existing instruments were used to explore fidelity through different lenses, including timing and modification of activities and learning goals. Results:Results from both fidelity instruments indicate that the facilitator used the materials as intended by the developers. However, these instruments did not capture important information regarding modifications the facilitator made, including timing and content-focused adaptations. Conclusions:Suggestions are made with respect to measuring fidelity, preparing facilitators, and supporting productive adaptations.
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