Covariational reasoning and mathematical narratives: investigating students’ understanding of graphs in chemical kinetics

2019 ◽  
Vol 20 (1) ◽  
pp. 107-119 ◽  
Author(s):  
Jon-Marc G. Rodriguez ◽  
Kinsey Bain ◽  
Marcy H. Towns ◽  
Maja Elmgren ◽  
Felix M. Ho

Graphical representations are an important tool used to model abstract processes in fields such as chemistry. Successful interpretation of a graph involves a combination of mathematical expertise and discipline-specific content to reason about the relationship between the variables and to describe the phenomena represented. In this work, we studied students’ graphical reasoning as they responded to a chemical kinetics prompt. Qualitative data was collected and analyzed for a sample of 70 students through the use of an assessment involving short-answer test items administered in a first-year, non-majors chemistry course at a Swedish university. The student responses were translated from Swedish to English and subsequently coded to analyze the chemical and mathematical ideas students attributed to the graph. Mathematical reasoning and ideas related to covariation were analyzed using graphical forms and the shape thinking perspective of graphical reasoning. Student responses were further analyzed by focusing on the extent to which they integrated chemistry and mathematics. This was accomplished by conceptualizing modeling as discussing mathematical narratives, characterizing how students described the “story” communicated by the graph. Analysis provided insight into students’ understanding of mathematical models of chemical processes.

Genus ◽  
2021 ◽  
Vol 77 (1) ◽  
Author(s):  
Andrea Priulla ◽  
Nicoletta D’Angelo ◽  
Massimo Attanasio

AbstractThis paper investigates gender differences in university performances in Science, Technology, Engineering and Mathematics (STEM) courses in Italy, proposing a novel application through the segmented regression models. The analysis concerns freshmen students enrolled at a 3-year STEM degree in Italian universities in the last decade, with a focus on the relationship between the number of university credits earned during the first year (a good predictor of the regularity of the career) and the probability of getting the bachelor degree within 4 years. Data is provided by the Italian Ministry of University and Research (MIUR). Our analysis confirms that first-year performance is strongly correlated to obtaining a degree within 4 years. Furthermore, our findings show that gender differences vary among STEM courses, in accordance with the care-oriented and technical-oriented dichotomy. Males outperform females in mathematics, physics, chemistry and computer science, while females are slightly better than males in biology. In engineering, female performance seems to follow the male stream. Finally, accounting for other important covariates regarding students, we point out the importance of high school background and students’ demographic characteristics.


2017 ◽  
Vol 15 (1) ◽  
pp. 285-301
Author(s):  
THEODORE KODITSCHEK

Since his first year in graduate school, Jerrold Seigel has puzzled over the relationship between modernity and the bourgeoisie. Willing to acknowledge the salience of this class in the making of the modern, he grew increasingly troubled by the failure of every effort to give a clear account of its distinctive historical role. To define the bourgeoisie as simply the group(s) in the middle, “all those who are neither peasants nor workers on the one side, nor aristocrats by birth on the other,” might be empirically accurate, he reasoned, but this provided no analytical insight into the processes of history. The Marxist alternative avoids this vacuity, but only by creating a mythology of the ascendant bourgeoisie—a class that by mere dint of its privileged relation to capital is deemed to be capable of entirely transforming the realms of culture, politics, and the material world. Dissatisfied with these conventional approaches, Seigel introduced a fundamentally new way of thinking in his seminal synthesisModernity and Bourgeois Life, which sought to replace the “traditional nominative formulation [of the bourgeoisie's role] with ones that are more adjectival and historical.” Considering “‘bourgeois’, not in terms of the rise of a class,” he has reconceptualized this term to denote “the emergence and elaboration of a certain ‘form of life’.” It is in connection with this project that Seigel developed the two key concepts that will be considered in this essay, “chains of connection” and “networks of means” (MBL, ix, 6, 25).


2018 ◽  
Vol 12 (1) ◽  
pp. 64-68
Author(s):  
Thomas B. Shea ◽  
Ruth Remington

Objective:Audio files of spontaneous signal streams generated byex vivoneuronal networks cultured on multi-electrode arrays generated an oscillating sine wave with an inherent musical quality. This was not anticipated considering that synaptic signals are “all - or – none”, and therefore digital, events.Methods:These findings may provide insight into why music can be perceived as pleasurable and invoke a calm mood despite that music is ultimately perceived and stored as a series of digital signals; it is speculated that music may reinforce and/or enhance this spontaneous digital stream.Results and Conclusion:These findings also support the relationship between music and mathematics.


2001 ◽  
Vol 7 (6) ◽  
pp. 337-343
Author(s):  
Jerry Lipka ◽  
Sandra Wildfeuer ◽  
Nastasia Wahlberg ◽  
Mary George ◽  
Dafna Ezran

Storytelling occurs across cultures but is not generally thought of as having a mathematical component; nor are other everyday activities, such as shopping for groceries, packing for a trip, or making a quilt. Each of these informal activities, however, contains embedded mathematics; in Yup'ik Eskimo storyknifing, the forms etched illustrate a relationship between mathematics and ethnomathematics (see fig. 1). Children usually do not see the relationship between their surroundings and activities and mathematics. Connecting the intuitive, visual, and spatial components of storyknifing, as well as other everyday and ethnomathematical activities, with mathematical reasoning is a way to adapt, enrich, and enlarge the types of problems and processes that elementary school students face when learning mathematics.


2021 ◽  
Vol 5 (2) ◽  
pp. 359
Author(s):  
Kamid Kamid ◽  
Husni Sabil ◽  
Wardi Syafmen ◽  
Elza Triani

The learning process is inseparable from the learning model, the selection of a good learning model will certainly have a good effect on student responses and student process skills and vice versa. This study aims to determine the comparison of student process skills and student responses to the PBL learning model in SD/MI, and to determine the relationship between student responses to student responses to the PBL learning model and student process skills. This type of research is experimental quantitative research by comparing 4 classes using the PBL model. The sample in this study was 144 students from public elementary schools. There are 2 instruments in this research, namely Process Skills for Science and Problem Based Learning (PBL) models. There are 47 items of process skills questions and 26 items of questions in the learning model that uses a Likert scale 5. This study uses quantitative data analysis with the help of SPSS statistics 25, to find descriptive statistics and inferential statistics. The results of the T test showed that in each school there were differences in process skills and student responses to the PBL learning model. Also, the results from the correlation test in each school showed that students' responses to the PBL learning model had an effect on students' process skills. This can be seen from the value of sig. < 0.05. So, the learning model carried out in each school has an influence on student responses and process skills, and there is a relationship between student responses and process skills.


Author(s):  
D. F. Blake ◽  
L. F. Allard ◽  
D. R. Peacor

Echinodermata is a phylum of marine invertebrates which has been extant since Cambrian time (c.a. 500 m.y. before the present). Modern examples of echinoderms include sea urchins, sea stars, and sea lilies (crinoids). The endoskeletons of echinoderms are composed of plates or ossicles (Fig. 1) which are with few exceptions, porous, single crystals of high-magnesian calcite. Despite their single crystal nature, fracture surfaces do not exhibit the near-perfect {10.4} cleavage characteristic of inorganic calcite. This paradoxical mix of biogenic and inorganic features has prompted much recent work on echinoderm skeletal crystallography. Furthermore, fossil echinoderm hard parts comprise a volumetrically significant portion of some marine limestones sequences. The ultrastructural and microchemical characterization of modern skeletal material should lend insight into: 1). The nature of the biogenic processes involved, for example, the relationship of Mg heterogeneity to morphological and structural features in modern echinoderm material, and 2). The nature of the diagenetic changes undergone by their ancient, fossilized counterparts. In this study, high resolution TEM (HRTEM), high voltage TEM (HVTEM), and STEM microanalysis are used to characterize tha ultrastructural and microchemical composition of skeletal elements of the modern crinoid Neocrinus blakei.


2014 ◽  
Vol 22 (4) ◽  
pp. 194-201 ◽  
Author(s):  
Freda-Marie Hartung ◽  
Britta Renner

Humans are social animals; consequently, a lack of social ties affects individuals’ health negatively. However, the desire to belong differs between individuals, raising the question of whether individual differences in the need to belong moderate the impact of perceived social isolation on health. In the present study, 77 first-year university students rated their loneliness and health every 6 weeks for 18 weeks. Individual differences in the need to belong were found to moderate the relationship between loneliness and current health state. Specifically, lonely students with a high need to belong reported more days of illness than those with a low need to belong. In contrast, the strength of the need to belong had no effect on students who did not feel lonely. Thus, people who have a strong need to belong appear to suffer from loneliness and become ill more often, whereas people with a weak need to belong appear to stand loneliness better and are comparatively healthy. The study implies that social isolation does not impact all individuals identically; instead, the fit between the social situation and an individual’s need appears to be crucial for an individual’s functioning.


2016 ◽  
Vol 15 (2) ◽  
pp. 55-65 ◽  
Author(s):  
Lonneke Dubbelt ◽  
Sonja Rispens ◽  
Evangelia Demerouti

Abstract. Women have a minority position within science, technology, engineering, and mathematics and, consequently, are likely to face more adversities at work. This diary study takes a look at a facilitating factor for women’s research performance within academia: daily work engagement. We examined the moderating effect of gender on the relationship between two behaviors (i.e., daily networking and time control) and daily work engagement, as well as its effect on the relationship between daily work engagement and performance measures (i.e., number of publications). Results suggest that daily networking and time control cultivate men’s work engagement, but daily work engagement is beneficial for the number of publications of women. The findings highlight the importance of work engagement in facilitating the performance of women in minority positions.


2018 ◽  
Vol 2 (3) ◽  
pp. 206-219
Author(s):  
Louay Qais Abdullah ◽  
Duraid Faris Khayoun

The study focused basically on measuring the relationship between the material cost of the students benefits program and the benefits which are earned by it, which was distributed on college students in the initial stages (matinee) and to show the extent of the benefits accruing from the grant program compared to the material burdens which matched and the extent of success or failure of the experience and its effect from o scientific and side on the Iraqi student through these tough economic circumstances experienced by the country in general, and also trying to find ways of proposed increase or expansion of distribution in the future in the event of proven economic feasibility from the program. An data has been taking from the data fro the Department of Financial Affairs and the Department of Studies and Planning at the University of Diyala with taking an data representing an actual and minimized pattern and questionnaires to a sample of students from the Department of Life Sciences in the Faculty of Education of the University of Diyala on the level of success and failure of students in the first year of the grant and the year before for the purpose of distribution comparison. The importance of the study to measure the extent of interest earned in comparision whit the material which is expenseon the program of grant (grant of students) to assist the competent authorities to continue or not in the program of student grants for the coming years.


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