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tandfonline.com – Understanding analytical drawings of preschool children: the importance of a dialog with a child

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Understanding analytical drawings of preschool children: the importance of a dialog with a child Link til kilde

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tandfonline.com – Understanding sustainable professional learning communities by considering school leaders’ interpretations and educational beliefs

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT The way in which school leaders implement professional learning communities (PLCs) is important for realizing sustainable school improvement. The assumption is that school leaders act based on their interpretation of the PLC, which is based on their underlying educational beliefs. In this study, we explored these latter aspects by interviewing six formal and informal school leaders, discussing the sustainability of PLCs in two secondary schools that had each worked with PLCs for seven years. The results of this in-depth qualitative study show that the schools differed in the degree of sustainability they achieved: one still used the PLC as intended; the other now omitted one step of the original format. This can be explained by the leaders’ interpretations… Continue Reading

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tandfonline.com – Lifting the understanding of trigonometric limits from procedural towards conceptual

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. The purpose of this paper is to follow the reasoning of high school students when asked to explain the standard trigonometric limit limθ→0⁡sin⁡θθ=1. An observational study was conducted in four different phases in order to investigate if visualization, by means of an interactive technology environment (Geogebra), can contribute in lifting high school students’ understanding from a mere procedural understanding to a combination of conceptual and procedural understanding. The obtained results confirm that the students were able to show a… Continue Reading

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tandfonline.com – Oral Exams: A More Meaningful Assessment of Students’ Understanding

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Abstract Compared to their written counterpart, oral assessments provide a wealth of information about student understanding. Instead of deciphering a static response, oral assessments provide instructors the opportunity to probe student explanations, obtaining a more complete picture of their understanding. Moreover, students explaining their conceptual reasoning is advocated in the 2016 GAISE guidelines. Additionally, oral exams allow for flexibility in how students can explain their thinking, potentially helping build students’ identities as statistical thinkers and speakers. Despite the facilities these assessments provide, oral assessments are rarely used in the statistics classroom. In this article I describe the important considerations to be attended to when implementing oral exams in the classroom, my experiences facilitating oral exams in my statistics courses,… Continue Reading

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tandfonline.com – Exploring core ideas of procedural understanding in scientific inquiry using educational data mining

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Background: Scientific thinking is an essential learning goal of science education and it can be fostered by inquiry learning. One important prerequisite for scientific thinking is procedural understanding. Procedural understanding is the knowledge about specific steps in scientific inquiry (e.g. formulating hypotheses, measuring dependent and varying independent variables, repeating measurements), and why they are essential (regarding objectivity, reliability, and validity). We present two studies exploring students’ ideas about procedural understanding in scientific inquiry using Concept Cartoons. Concept Cartoons are cartoon-like drawings of different characters who have different views about a concept. They are to activate students’ ideas about the specific concept and/or make them discuss them. Purpose: The purpose of this paper is to survey students’ ideas of… Continue Reading

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tandfonline.com – Locked in: understanding the ‘irreversibility’ of powerful private supplementary tutoring markets

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Private supplementary tutoring (PST) is a phenomenon growing throughout the world. Looking at regions such as East Asia where it is already vast and comparing with regions where it remains modest but is rising, some authors have argued that countries must act quickly to discourage negative societal implications which arise when PST grows. One underpinning suggestion here is the notion that addressing PST may be time-critical. Drawing on insights from political science on the nature of continuity and change, in this paper I explore the possibility that societies could become substantially ‘locked in’ to complex patterns of dependence on PST. I report on the case of South Korea, drawing on interviews with experts in the Korean education system.… Continue Reading

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tandfonline.com – Computerized adaptive assessment of understanding of programming concepts in primary school children

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Background and Context. Valid assessment of understanding of programming concepts in primary school children is essential to implement and improve programming education. Objective. We developed and validated the Computerized Adaptive Programming Concepts Test (CAPCT) with a novel application of Item Response Theory. The CAPCT is a web-based and resource-efficient adaptive assessment of 4489 questions measuring: the understanding of basic sequences, loops, conditions (if & if-else statements), debugging, multiple agents, procedures, and the ability to generalize to a new syntax. Method. Data was collected through an existing online adaptive practice and monitoring system called Math Garden. We collected 14 million responses from 93,341 Dutch children (ages 4 – 13). Findings. The CAPCT demonstrated good psychometric qualities because 75% of… Continue Reading

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tandfonline.com – The Use of Algorithmic Models to Develop Secondary Teachers’ Understanding of the Statistical Modeling Process

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. Abstract Statistical modeling continues to gain prominence in the secondary curriculum, and recent recommendations to emphasize data science and computational thinking may soon position algorithmic models into the school curriculum. Many teachers’ preparation for and experiences teaching statistical modeling have focused on probabilistic models. Subsequently, much of the research literature related to the teachers’ understanding has focused on probabilistic models. This study explores the extent to which secondary statistics teachers appear to understand ideas of statistical modeling, specifically the… Continue Reading

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Eric.ed.gov – Towards an Understanding of Development in Transformational Teacher Education.

eric.ed.gov har udgivet: Arguing that transformative teacher professional development may require more than a shift in the content of teachers’ thinking, this paper examines how the structure of teachers’ meaning-making systems might affect their experiences in three mathematics teacher professional development programs. The paper describes the change goals of three teacher professional development programs and their methods for accomplishing those goals. SummerMath for Teachers attempts to support a shift in teachers’ paradigms about mathematics and learning by asking them to personally engage with and reflect on mathematics and pedagogy. The Math Case Methods Project supports teachers in re-evaluating and complicating their ideas about mathematics and mathematics teaching through collaborative inquiry into practice via mathematics teaching cases. The Algebra Project seeks to change the expectations of teachers, students, and the broader… Continue Reading

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Eric.ed.gov – Understanding the Meaning of Rural within a Middle School Mathematics Professional Development and Research Project in Nebraska. Working Paper No. 40

eric.ed.gov har udgivet: Improving teacher quality in P-12 mathematics is a national need, and many universities and schools are working to address it. With the support of the National Science Foundation (NSF), twelve math and science institutes across the country are helping P-12 teachers strengthen their capacity to support students’ learning. These NSF Institutes operate under the leadership of STEM university faculty, representing colleges of arts and science as well as colleges of education. The strategy is to build capacity by improving teachers’ content knowledge, pedagogy, and leadership skills. One such venture is The Math in the Middle Institute Partnership (M2) at the University of Nebraska-Lincoln (UNL). As part of their efforts to understand the place of rural in M2, the research team systematically interviewed the 63 rural participants from… Continue Reading