abstract: The concept of distribution is one of the core ideas of probability theory and inferential statistics, if not the core idea. Many introductory statistics textbooks pay lip service to stochastic/random processes but how do students think about these processes? This study sought to explore what understandings of stochastic process students develop as they work through materials intended to support them in constructing the long-run behavior meaning for distribution. I collected data in three phases. First, I conducted a set of task-based clinical interviews that allowed me to build initial models for the students’ meanings for randomness and probability. Second, I worked with Bonnie in an exploratory teaching setting through three sets of activities to see what meanings she would develop for randomness and stochastic process. The final phase consisted of me working with Danielle as she worked through the same activities as Bonnie but this time in teaching experiment setting where I used a series of interventions to test out how Danielle was thinking about stochastic processes. My analysis shows that students can be aware that the word “random” lives in two worlds, thereby having conflicting meanings. Bonnie’s meaning for randomness evolved over the course of the study from an unproductive meaning centered on the emotions of the characters in the context to a meaning that randomness is the lack of a pattern. Bonnie’s lack of pattern meaning for randomness subsequently underpinned her image of stochastic/processes, leading her to engage in pattern-hunting behavior every time she needed to classify a process as stochastic or not. Danielle’s image of a stochastic process was grounded in whether she saw the repetition as being reproducible (process can be repeated, and outcomes are identical to prior time through the process) or replicable (process can be repeated but the outcomes aren’t in the same order as before). Danielle employed a strategy of carrying out several trials of the process, resetting the applet, and then carrying out the process again, making replicability central to her thinking. / Dissertation/Thesis / Doctoral Dissertation Mathematics Education 2019

Thesis (M. Ed.)--University of Hong Kong, 1994. / Includes bibliographical references (leaves 50-54).

Thesis (M.Ed.)--University of Hong Kong, 1994. / Includes bibliographical references (leaves 50-54). Also available in print.

<p>ABSTRACT This study?s purpose was to determine whether instruction in growth math mindset led to change in perceptions of 18-22-year-old at-risk students in math mindset, math anxiety, and view of math. The experimental curriculum was created by the researcher with the guidance of experts in mathematics and education and focused on the impact of brain growth and learning supported by positive math mindset. Young adult public charter high school at-risk students were surveyed before and after completion of the experimental intervention to measure their perceptions in the domains of Math Mindset, Math Anxiety, and View of Math. The results revealed significant differences in the treatment group?s pre-to post-test perceptions in all three math domains (p < .001) Comparison between the experimental and control groups were conducted, revealing significant differences between the two group in all three domains of math. These results point to the effectiveness of the experimental curriculum and instructional techniques to positively impact students? perceptions of Math Mindset, reduction of Math Anxiety, and improvement in View of Math. Keywords: [mindset, mathematics, math anxiety, view of math, math curriculum, education, at-risk]

No description available.

No description available.

No description available.

No description available.

<p>The focus of this project is the development of a unit of study in Science for junior students (ages 9-11), in the Elementary School and the assessment of its implementation. The actual participants in the programme were students at the grade five level.</p> <p>There are two areas of student learning that have been identified as significant in science education: the cognitive-process skills, and the communicative skills. Through application and assessment of the proposed programme, "Junior Science For General Education", it was discovered that active "hands-on" participation resulted in an increased capacity for problem solving.</p> / Master of Arts in Teaching (MAT)

<p> With millions invested in educational technology, what is its impact on student achievement and engagement? This question formed the basis for a review of the current literature on the impact of iPads and other instructional technology on student academic growth and motivation in public schools. The research supports technology&rsquo;s positive impact on student achievement and engagement, but more research is needed in order to better understand how iPad use impacts students in the early elementary mathematics classroom. </p><p> This dissertation study examines the effects of an iPad-based math intervention, as compared to a traditional paper-pencil approach, on second graders&rsquo; achievement and engagement in mathematics. The students were assigned to treatment and control groups in matched pairs based on sex and pre-test scores. Then students engaged in a four-week math intervention, using either the iPad or paper-pencil. At the end of each intervention, students completed quantitative posttests given by their classroom teachers. Students then switched treatment and control groups for a second four-week math intervention. Quantitative pre-post assessments include Bridges math unit tests, easyCBM math tests, and a Likert-scale engagement measure. After the two interventions were completed, qualitative focus group data were collected from the teachers involved in the study, giving a more complete view of student engagement.</p><p> With finite intervention time and resources, schools need to know how to best improve student achievement and engagement in mathematics. This study fills a documented research gap and will help inform school decisions regarding instructional technology in the early elementary math classroom. </p>