tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Conditions influencing 328 students’ (Grades 6-8) preferences for collaborating or working alone on challenging projects were investigated, as well as their potential interactions with ability, grade and sex. Each student completed the Cognitive Abilities Test (Form 7) and Project Context Survey. No overall preference for individual or collaborative projects was found. Students’ preferences were sensitive to features of the context (subject, nature of the task and social dynamics). Individual projects were preferred in art and shared projects in science and social studies. Students with high ability and boys preferred individual projects in Math. Principal components analyses revealed three contextual considerations influenced students’ desire to work on projects alone (enjoyment, optimizing the outcome, and risk management) and five influenced… Continue Reading →
Like this:
Like Loading...
tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Abstract We examine a hypothesis implied by Steffe’s constructivist model of children’s numerical reasoning: a child’s spontaneous additive strategy may relate to a foundational form of multiplicative reasoning, termed multiplicative double counting (mDC). To this end, we mix quantitative and qualitative analyses of 31 fourth graders’ responses during clinical, task-based interviews. All participants spontaneously used one of three additive strategies—counting-on, doubling, or break-apart-make-ten (BAMT)—to correctly solve an addition word problem (8 + 7). We found between-group differences, with asymmetric association of those ordinal variables. We found counting-on to be mainly related to premultiplicative reasoning and BAMT to mDC reasoning. We discuss the theoretical significance and implications of this corroboration of Steffe’s model. Link til kilde
Like this:
Like Loading...
tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT This article argues that crucial elements of the three most important theoretical models of twentieth-century education can be traced back to three Protestant denominations that were developed in Europe in the sixteenth and seventeenth centuries. First, rather than to look in depth at the Protestant Reformers’ own educational ideas, the paper examines their perceptions of how the social or political order should be governed as appropriate for salvation. It then shows how educational models became possible in the context of the three Protestant denominations as they morphed across time and space: German Lutheranism and how it eventually gave rise to the theory of Bildung, which goes hand in hand with the dual world view of Lutheranism; the political… Continue Reading →
Like this:
Like Loading...
tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Patterns of Development in Children’s Scientific Reasoning: Results from a Three-Year Longitudinal Study Link til kilde
Like this:
Like Loading...
tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT The demands on mathematical problem-solving have increased in almost all school systems internationally and may constitute a barrier for children with special educational needs (SEN). This study explored the role of fluid reasoning (FR), working memory (WM) and complex executive function of planning (EF) in children (N = 62) referred for assessment of SEN, and specifically of risk for mathematical difficulties (MD). Performances on FR, WM and complex EF of planning were used to predict risk for MD. Results showed that planning ability predicted children at risk for MD, beyond FR or WM ability, when comparing with children not at risk for MD. It was concluded that assessing the complex EF of planning in addition to FR and WM ability is… Continue Reading →
Like this:
Like Loading...
tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Inquiry-based lessons have been demonstrated to improve children’s scientific thinking (i.e. reasoning abilities and domain-specific knowledge). Although empirical evidence shows that inquiry-based learning requires instruction, research comes from two approaches that have not been bridged yet: direct instruction of scientific reasoning and teacher training of verbal support. We investigated how these two types of instruction separately or combined strengthened children’s scientific thinking by comparing four conditions: baseline, direct instruction, verbal support, and a combined approach. Effectiveness of an inquiry-based lesson series on scientific reasoning abilities, vocabulary, and domain-specific knowledge (near and far transfer) were studied among 301 fourth graders. Results showed that both approaches strengthened different components of scientific reasoning abilities, and that a combination of instructions was… Continue Reading →
Like this:
Like Loading...
eric.ed.gov har udgivet: This paper articulates a stance on the study of students’ meaningful mathematics understanding with multiple representations. We integrate Thompson’s theory of quantitative reasoning and Dreyfus’ theory of multiple representations in our approach to frame and conduct empirical investigations of the study of meaningful understanding of function. We provide empirical data to support our approach to examining representational fluency and functional thinking from this networked stance. Our research articulates how the coordination of theories can be productive in informing the design, conduct, and analysis of contexts aimed to understand students’ meaningful math learning with a focus on functional thinking. [For the complete proceedings, see ED606556.] Link til kilde
Like this:
Like Loading...
eric.ed.gov har udgivet: In this study we analyze and contrast approaches that future high school math teachers show when solving word problems with the use of pencil and paper and later, with the use of a Dynamic Geometry System (DGS). The resources, representations, strategies and forms of mathematical reasoning that the participants exhibit when they use GeoGebra in the process of problem solving are analyzed. The results show that the use of the tool favors the dynamic exploration of the concepts involved, the formulation of conjectures and the search for different arguments to validate the solution. [This paper is provided in both Spanish and English. For the complete proceedings, see ED606531.] Link til kilde
Like this:
Like Loading...
tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Qualitative spatial reasoning on topological relations by combining the semantic web and constraint satisfaction Link til kilde
Like this:
Like Loading...
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 The purpose of this study was to examine fifth graders’ mathematical reasoning and spatial ability, to identify a correlation with their learning styles, and to determine the predictive power of their learning styles on their mathematical learning profiles. This causal study was conducted with 97 fifth graders (60 females, 61.9% and 37 males, 38.1%). The data were collected using three instruments: the Test on Learning Styles, the Mathematical Reasoning Test, and the Spatial Ability Test. Considering the combined… Continue Reading →
Like this:
Like Loading...
Læst 8 gange 
