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tandfonline.com – Promoting critical thinking through mathematics and science teacher education: the case of argumentation and graphs interpretation about climate change

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Promoting critical thinking through mathematics and science teacher education: the case of argumentation and graphs interpretation about climate change Link til kilde

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Eric.ed.gov – Anthropological Analysis of Content Knowledge of Preservice Elementary Mathematics Teachers’ on Graphs

eric.ed.gov har udgivet: The purpose of this study is to analyse the content knowledge on graphs of pre-service elementary mathematics teachers from an anthropological perspective. 112 pre-service elementary mathematics teachers participated in the study. Concentric mixed pattern research method has been used in the study. The data was collected through Graphic Content Knowledge Scale and interview method in order to examine the content knowledge of primary school math teacher candidates related to graphics anthropologically. This scale which was developed within the frame of determined institutional recognitions includes graphic concept and its usage conditions, graphic types and different display forms, making proper transformations between graphics related to a given context, graphic reading, graphic interpreting and graphic drawing skills. In addition, for the purpose of having a more detailed review of the… Continue Reading

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tandfonline.com – Students’ Understanding of Bar Graphs and Histograms: Results From the LOCUS Assessments

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Bar graphs and histograms are core statistical tools that are widely used in statistical practice and commonly taught in classrooms. Despite their importance and the instructional time devoted to them, many students demonstrate misunderstandings when asked to read and interpret bar graphs and histograms. Much of the research that has been conducted about these misunderstandings has been with students in introductory statistics classes at the college level. In this article, students in grades 6–12 completed multiple-choice and constructed-response questions about bar graphs and histograms as part of a larger study. The same misunderstandings that college-level students demonstrate were found in these younger students. Link til kilde

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tandfonline.com – Assessing Students’ Understanding of Variability in Graphical Representations that Share the Common Attribute of Bars

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Everyday encounters with graphical representations include a variety of graphs that superficially appear similar due to their use of bars. This article examines students’ conceptions and misconceptions regarding the interpretation of variability in histograms, bar graphs, and value bar charts. A multiple choice assessment with brief written justifications was administered to students in an introductory level college statistics course. Assessment items included comparisons of variability among same-type graphs and questions regarding students’ ability to identify key features of the graphs. The study revealed that students struggle to make sense of the underlying structures of the various types of graphs and often disregard graph type as they transfer correct conceptions of variability for one type of graph erroneously to… Continue Reading

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tandfonline.com – Arc length of function graphs via Taylor’s formula

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. We use Taylor’s formula with Lagrange remainder to prove that functions with bounded second derivative are rectifiable in the case when polygonal paths are defined by interval subdivisions which are equally spaced. As a means for generating interesting examples of exact arc length calculations in calculus courses, we recall two large classes of functions f with the property that 1+(f′)2 has a primitive, including classical examples by Neile, van Heuraet and Fermat, as well as more recent ones induced… Continue Reading

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tandfonline.com – Task design for graphs: rethink multiple representations with variation theory

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT It is well known that students benefit from opportunities to interpret and create different representations (e.g., diagrams, graphs, tables, symbols) of mathematical ideas. Employing Marton’s Variation theory as a lens, I argue for an expansion of the use of multiple representations in task design for graphs: Incorporate two different forms of the same type of graph to represent a relationship between variables in a situation. With this approach, designers, teachers, and researchers can engineer opportunities for students to discern, or separate, features of representation systems, such as the Cartesian coordinate system, and in turn, promote students’ mathematical reasoning. Link til kilde

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tandfonline.com – A survey and a new class of graceful unicylic graphs

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 A graph G admits a graceful labeling if there is a one-to-one map f from the set of vertices of G to {0,1,2,…,|E(G)|} such that when an edge xy is assigned the label |f(x)−f(y)|, the resulting set of edge labels is {1,2,…,|E(G)|}. When such a labeling exists, G is called graceful. Rosa showed that a cycle Cn ( n≥3 ) is graceful if and only if n is congruent to 0 or 3 modulo 4. Truszczyński conjectured that… Continue Reading