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tandfonline.com – Interpretations of Boxplots: Helping Middle School Students to Think Outside the Box

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 Boxplots are statistical representations for organizing and displaying data that are relatively easy to create with a five-number summary. However, boxplots are not as easy to understand, interpret, or connect with other statistical representations of the same data. We worked at two different schools with 259 middle school students who constructed and interpreted boxplots. We observed that even students who were able to create boxplots had difficulty interpreting data represented in a boxplot. After sharing specific difficulties that… Continue Reading

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Eric.ed.gov – A Parallel Mixed-Methods Exploration of Inclusion Strategies Being Used by Middle School Math and Science Teachers for Included Students with Autism

eric.ed.gov har udgivet: General education teachers are seeing an increase of students with disabilities being included. A major contributing factor to this is that students with disabilities are required to be in least restrictive environments and given access to the general curriculum in the major subjects like math and science as mandated by federal legislation (Individuals with Disabilities Education Act, 2004; No Child Left Behind, 2001). This parallel mixed methods design study (Newman, Newman, & Newman, 2011) investigated inclusion strategies with classroom observations, teacher interviews, and archival document reviews. The focus was on nine middle school teachers, six of whom were math and science teachers, in inclusive classrooms and the curriculum modifications/instructional accommodations they were using for their students with autism. Link til kilde

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tandfonline.com – On Enthusing Students About Big Data and Social Media Visualization and Analysis Using R, RStudio, and RMarkdown

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT We discuss the learning goals, content, and delivery of a University of Plymouth intensive module delivered over four weeks entitled MATH1608PP Understanding Big Data from Social Networks, aimed at introducing students to a broad range of techniques used in modern Data Science. This module made use of R, accessed through RStudio, and some popular R packages. After describing initial examples used to fire student enthusiasm, we explain our approach to teaching data visualization using the ggplot2 package. We discuss other module topics, including basic statistical inference, data manipulation with dplyr and tidyr, data bases and SQL, social media sentiment analysis, Likert-type data, reproducible research using RMarkdown, dimension reduction and clustering, and parallel R. We present four lesson outlines… 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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Eric.ed.gov – Validating Teacher Effects on Students’ Attitudes and Behaviors: Evidence from Random Assignment of Teachers to Students

eric.ed.gov har udgivet: There is growing interest among researchers, policy makers, and practitioners in identifying teachers who are skilled at improving student outcomes beyond test scores. However, questions remain about the validity of these teacher effect estimates. Leveraging the random assignment of teachers to classes, I find that teachers have causal effects on their students’ self-reported behavior in class, self-efficacy in math, and happiness in class that are similar in magnitude to effects on math test scores. Weak correlations between teacher effects on different student outcomes indicate that these measures capture unique skills that teachers bring to the classroom. Teacher effects calculated in nonexperimental data are related to these same outcomes following random assignment, revealing that they contain important information content on teachers. However, for some nonexperimental teacher effect estimates,… Continue Reading

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Eric.ed.gov – The Effects of Differentiated Instruction on Motivation and Engagement in Fifth-Grade Gifted Math and Music Students

eric.ed.gov har udgivet: The purpose of this action research project report was to increase student motivation and engagement. There seemed to be an increasing disconnect between student potential and performance, especially among gifted math and beginning music students. Two teacher researchers carried out this research with 25 fifth-grade students at two different sites in a gifted math class and a beginning band class. The research was conducted from September 11th, 2012, through December 17th, 2012. In order to document the lack of student motivation and engagement, three tools were utilized; a teacher survey, a student survey, and a student behavior checklist. After analyzing the collected data, it was evident that a notable percentage of students felt that their school work was too easy while teachers felt their lessons were appropriately… Continue Reading

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tandfonline.com – Student enrichment in mathematics: a case study with first year university students

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT This paper presents an enrichment case study to showcase a possible avenue for attending to the needs of academically strong mathematics students. We report on a group of university students who were presented with the opportunity of exploring a specific first year mathematics topic deeper, using an inquiry-based learning approach as part of an enrichment programme. Following the intervention, students completed a questionnaire and a few were interviewed to establish their experiences of the enrichment programme. We discuss the successes and pitfalls of the intervention and report on the impact it had on the participants. Link til kilde

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tandfonline.com – Investigating students’ perceptions of graduate learning outcomes in mathematics

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT The purpose of this study is to explore the perceptions mathematics students have of the knowledge and skills they develop throughout their programme of study. It addresses current concerns about the employability of mathematics graduates by contributing much needed insight into how degree programmes are developing broader learning outcomes for students majoring in mathematics. Specifically, the study asked students who were close to completing a mathematics major (n = 144) to indicate the extent to which opportunities to develop mathematical knowledge along with more transferable skills (communication to experts and non-experts, writing, working in teams and thinking ethically) were included and assessed in their major. Their perceptions were compared to the importance they assign to each of these… Continue Reading

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tandfonline.com – Shrinkage of Value-Added Estimates and Characteristics of Students with Hard-to-Predict Achievement Levels

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 It is common in the implementation of teacher accountability systems to use empirical Bayes shrinkage to adjust teacher value-added estimates by their level of precision. Because value-added estimates based on fewer students and students with “hard-to-predict” achievement will be less precise, the procedure could have differential impacts on the probability that the teachers of fewer students or students with hard-to-predict achievement will be assigned consequences. This article investigates how shrinkage affects the value-added estimates of teachers of hard-to-predict… Continue Reading

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tandfonline.com – To what extent are students expected to participate in specialised mathematical discourse? Change over time in school mathematics in England

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT From a discursive perspective, differences in the language in which mathematics questions are posed change the nature of the mathematics with which students are expected to engage. The project The Evolution of the Discourse of School Mathematics (EDSM) analysed the discourse of mathematics examination papers set in the UK between 1980 and 2011. In this article we address the issue of how students over this period have been expected to engage with the specialised discourse of school mathematics. We explain our analytic methods and present some outcomes of the analysis. We identify changes in engagement with algebraic manipulation, proving, relating mathematics to non-mathematical contexts and making connections between specialised mathematical objects. These changes are discussed in the light… Continue Reading