Influences on engineering students’ choices of higher-level mathematics

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ABSTRACT Mathematics is a crucial skill for success in engineering studies, but mathematics prerequisites are a barrier to students wishing to undertake engineering degrees, particularly when considering the continually declining numbers of students studying higher-level mathematics subjects in the final years of secondary education. This study used semi-structured interviews to explore the choices of year 11 and 12 mathematics subjects that had been made by students commencing an engineering degree. Analysis of the data indicated that there was no single choice point, but a continual re-evaluation of the subjects they chose in terms of enjoyment, workload, evolving identity and career plans. Student narratives identified structural barriers to the uptake of higher-level mathematics subjects, such as early streaming of classes and the hierarchical and fast paced structure of mathematics courses.

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  • 박혜란 + 1 more

A longitudinal study traced changes in students` understanding of Nature Of science (NOS) through the public secondary science education in Ontario Canada. Although the concepts of NOS are complicated, and students` understandings are not easy to change, not many longitudinal studies have been done across the world. The current study tried to identify the changes of participating students` understandings of NOS for two and half years of public secondary science education in Ontario Canada. Pretest was administered using Views of Nature of Science (VNOS-C) when six participants graduated from a middle school of Toronto. Two and half years of secondary education, the posttest was carried out using the same instrument. After pre and posttest, probing interviews were performed. The analysis of the data was founded on the Standards and the conceptual framework for this study. The findings were that the initial views have little changed. Most examples and explanations the participants provided were from their science classes. Lab activities for confirming the existing laws and theories and observable photos in science textbooks made students regard the knowledge as a truth. Naturally, their knowledge has been expanded for 2 and 1/2 years, but this expansion of scientific knowledge led students toward Universalist views on science. On the other hand, when science was presented with a historical approach or was networked with other concepts, students acknowledged science and scientific knowledge had been induced from inferences as well as observations and experimental results. Based on the findings the authors of this research suggest that educating the knowledge of science should be historical and networked approaches rather than teaching the knowledge as concise and true statements of the nature.

  • Research Article
  • Cite Count Icon 1
  • 10.1115/1.3099350
JMD Editorial Board
  • Mar 24, 2009
  • Journal of Mechanical Design
  • Panos Y Papalambros

All scholars know that preparing a manuscript of new research work for scholarly publication is a lot of work. Shepherding a submitted manuscript to its eventual publication among meritorious peers in JMD is also a lot of work. This shepherding, formally referred to as the publication process, happens only because of the untiring volunteer efforts of the JMD Editorial Board. The Board consists of the (Technical) Editor and Associate Editors. The Editor serves for five years, and the Associate Editors for three years with the possibility for one time renewal. All appointments must be approved by the ASME Design Engineering Executive Committee and the ASME Publications Committee.The JMD publication process follows closely the society guidelines of ASME, summarized here.1A manuscript or other work is submitted to the journal.2The Editor reads the work and determines if it is appropriate and worthy of review.3The Editor assigns the work to an Associate Editor, who oversees the review process.4The Associate Editor assigns the work to qualified reviewers.5The work is reviewed in accordance with ASME standards and requirements.6Based on the reviews, the Associate Editor makes a recommendation to the Editor, who makes the final determination of acceptance or rejection.7Accepted works are processed for publication; rejected works are returned to the authors.The primary responsibility of the Editor is to oversee the technical content and operation of the journal. In overseeing the technical content, the Editor is responsible fordetermining acceptance or rejection of all materials considered for publication;managing the Associate Editors and overseeing their roles and responsibilities in coordinating the review process;maintaining commitment to standards of high quality;enrolling and maintaining qualified reviewers to consistently contribute and support the journal by judging the technical merit of potential material;maintaining the health of the journal and inspire new growth;maintaining technical currency in the overall journal subject matter.In overseeing the operation of the journal, the Editor is responsible forencouraging and supporting the Associate Editors;nominating potential Associate Editors to the Publications Committee for approval;cooperating with the ASME Technical Publishing Department staff to ensure timely publication of journal issues and implementation of state-of-the-art technologies in the production process;staying current with publishing technologies to assist and support authors, Associate Editors, and reviewers;overseeing the management of the editorial office and related journal administrative functions;participating in meetings and activities of the Board of Editors.The primary responsibility of the Associate Editor is to oversee the peer review process of the technical works assigned. Associate Editors are responsible forenrolling and maintaining qualified reviewers to consistently contribute and support the journal by judging the technical merit of potential material;ensuring the review is completed in a timely manner and in accordance with Society policy and standards;recommending acceptance or rejection of all materials considered for publication to the journal Editor;maintaining active communication with authors and reviewers during the peer review process;ensuring authors address review comments and prepare and complete their work in accordance with Society guidelines and standards;maintaining commitment to standards of high quality;assisting and supporting the Editor in maintaining the health of the journal and inspiring new growth;maintaining technical currency in the overall journal subject matter and in a personal specialty area;staying current with publishing technologies to assist and support authors;cooperating with the ASME Technical Publishing Department staff to ensure timely publication of journal issues and implementation of state-of-the-art technologies in the production process.As a design educator, I am fond of checklists. 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  • Participatory Educational Research
  • Handan Kocabatmaz + 1 more

Educational digital games are games designed for educational purposes. These games are used to provide students with certain knowledge, and designated with a with a view to improving their skills or to shaping their behavior. The aim of this study is to determine the effect of educational digital games Wordwall and Matific used in teaching primary school mathematics course on student achievement and attitude. Pre-test and post-test were applied to the experimental and control groups of the study in which quasi-experimental method was used. The study group consisted of 48 students studying in the 3rd grade of a public primary school. In the experimental group of the study, educational digital games Wordwall and Matific were used in the measurement unit of the mathematics course (length, perimeter, area, and liquid measurement). In the control group, the same subject was presented in accordance with the instructions in the third grade mathematics teacher's guide provided by Republic of Türkiye Ministry of National Education. The data were collected with the 20-question "Mathematics Achievement Test", which was jointly determined by the classroom teachers and the researchers, and the "Mathematics Course Attitude Scale" consisting of 13 items developed by Ayvaz (2010). In the analysis of the data, t-test for independent and dependent groups, which is one of the parametric tests appropriate to the research hypotheses, was applied. The findings of the study show the effectiveness of educational digital games in affecting students' academic achievement and attitudes. Based on this result, it is recommended that teachers should benefit from trainings in order to use educational digital games effectively in lessons.

  • Single Book
  • Cite Count Icon 54
  • 10.1017/cbo9781139168120
Advanced Mathematical Methods for Engineering and Science Students
  • Apr 12, 1990
  • G Stephenson + 1 more

This book provides a solid foundation to a number of important topics in mathematics of interest to science and engineering students. The authors' approach is simple and direct, the emphasis being on the analytical structure and applications of the material. The text is virtually self-contained, assuming only that the student has received a good basic course in ancillary mathematics. Each chapter contains a large number of worked examples, and concludes with problems for solution, with answers given in the back of the book. There is no comparable text that covers this material in such a concise form. This book will be of great value to undergraduates in physics, chemistry, theoretical biology, and in all engineering disciplines, as a source book of advanced mathematical methods, and also to postgraduate students as a revision text.

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  • Research Article
  • Cite Count Icon 3
  • 10.3389/feduc.2021.662380
Factors Influencing Success in Advanced Engineering Mathematics Courses: A Case Study
  • Jun 17, 2021
  • Frontiers in Education
  • Prashant Athavale + 2 more

Several studies have been conducted to understand the predictors of academic performance of various levels of high school and undergraduate students as quantified by the grade point average. This study focuses specifically on engineering students as they differ from other undergraduate students in their background and expectations. We focus on quantifying essential predictors of the performance of engineering students in an advanced mathematics course. We collected data from 72 participants recruited from engineering students enrolled in the advanced engineering mathematics (AEM) course in a research university. We chose this course to represent a standard engineering mathematics course covering several essential topics. We consider several factors in our analysis, such as cellphone usage and the academic background, e.g., the academic year, number of minors, and majors, performance in prerequisite courses. We perform several regression analyses to understand the effects of cellphone usage, course schedule, and academic background on performance in the AEM course and its prerequisites. In particular, we use the stepwise regression technique using forward selection and backward elimination procedures. We discovered a few interesting findings in this case study. Firstly, for the participants in this study, we find that the daily average “screen time” on their cellphones is not a statistically significant predictor of student performance. This finding contradicts some prior studies on this participant and may indicate adaption and integration of the technology by the new generation of students in recent years. We also found that the lecturing schedule was not an influential factor for their academic performance. These findings are especially relevant during the COVID-19 pandemic, as they suggest that advanced engineering students have adapted to the use of technology and are flexible concerning lecture schedules. Another unexpected finding is that this study brings new evidence that the number of minors taken by the participants is a negative predictor of their grade in the AEM course. This observation may indicate that course-work from non-major classes may adversely impact their performance in mathematical engineering courses.

  • Research Article
  • Cite Count Icon 4
  • 10.1177/21582440231180671
Measuring Motivation for Mathematics Course Choice in Secondary School Students: Interrelationships Between Cost and Other Situated Expectancy-Value Theory Components
  • Apr 1, 2023
  • Sage Open
  • Jane Kirkham + 2 more

Higher-level mathematics courses in upper secondary school serve as a critical filter to future educational courses and careers in Science, Technology, Engineering and Mathematics (STEM). However, the percentage of senior school students in Australia undertaking higher-level mathematics courses is decreasing. Given that these courses provide students with skills and knowledge integral to STEM disciplines, it is important to discover factors that serve to encourage or detract students in choosing higher-level mathematics courses. Considering that educational and career choices are influenced by personal interests, values, and expectations, the purpose of this study was to design and validate a bipolar format survey instrument to investigate motivational factors on mathematics course choices of Year 10 Australian school students based upon Situated Expectancy-Value Theory (SEVT). A 25-item survey instrument using a bipolar format was developed to measure: Expectancy for success (operationalized as Competence-beliefs); Intrinsic value; Attainment value; Utility value; and Cost in relation to mathematics. Confirmatory and exploratory factor analyses of data collected from Year 10 students ( n = 886) revealed a four-factor model consisting of well-defined factors of Competence-beliefs, Intrinsic value, Attainment value, and Utility value. Unexpectedly, the items designed to measure the Cost factor dispersed variously into the factors of Competence-beliefs, Intrinsic value, and Utility value, and conceptually plausible explanations are offered for this finding. This survey represents a promising instrument for measuring predictors of mathematics course choices in senior school students. The study findings also suggest interrelationships between specific cost dimensions and other factors relevant to the measurement of SEVT constructs more generally.

  • Conference Article
  • Cite Count Icon 1
  • 10.1109/ipcc.2014.7020371
Impact of critical thinking instruction on first year engineering students
  • Oct 1, 2014
  • Peter Weiss + 1 more

The advancement of student ability to think critically is a learning outcome shared across a wide range of fields. We are instructors in a first year engineering design and communication course containing critical thinking interventions. We constantly struggle to determine the effectiveness of those interventions. This study is a work-in-progress report on one component of a large multi-institutional study on teaching and evaluating critical thinking in first year engineering students. In this study we describe the pitfalls encountered in the initial iteration of this study, such as difficulty in finding a standard test for critical thinking relevant to engineering students and in securing student participation. We describe the second iteration of the study, designed to avoid these initial pitfalls, and give details about our methodology and the conclusions we hope to draw upon analysis of the data. Finally, and perhaps most importantly for a work-in-progress report is plan for future expansion of data collection and analysis.

  • Research Article
  • Cite Count Icon 5
  • 10.1002/cae.22531
Comparing reflective and supportive scaffolding in 3D computer‐aided design course: Engineering students' metacognitive strategies, spatial ability self‐efficacy, and spatial anxiety
  • Jun 2, 2022
  • Computer Applications in Engineering Education
  • Nilüfer Atman Uslu + 2 more

Three‐dimensional (3D) modeling provides a suitable context for the improvement of students' higher order thinking skills as it involves challenging and complex learning tasks. For students to succeed in difficult learning tasks, it is necessary to determine the effects of the scaffolding type given to the students in the learning process. This study asserts that reflective and supportive scaffolding has a critical effect on the dependent variables. Reflective scaffolding enables students to explain their reflective processes and clarify their reflective behavior, using personal reflection as a learning tool. Supportive scaffolding provides a process to develop knowledge and guidance on what participants should consider. This study compares the effects of different scaffolding types (reflective or supportive), students' prior knowledge on students' use of metacognitive strategies, spatial ability self‐efficacy, and spatial anxiety in the 3D computer‐aided design course. A pretest and posttest 2 x 2 x 2 factorial quasi‐experimental model was used in the study. This study was carried out with 118 undergraduate mechanical engineering students. Analysis of covariance (ANCOVA) was used in the analysis of the data. The results showed that the supportive scaffolding group scored higher in the metacognitive strategies variable than the reflective scaffolding group. The supportive scaffolding group showed higher spatial ability than the reflective scaffolding group. This study provides engineering educators with an overview of the use of scaffolding types, their effects on the effectiveness of learning environments, and the design of these environments.

  • Research Article
  • Cite Count Icon 4
  • 10.1080/13668803.2022.2163880
What are the potential impacts of work-study conflict for adolescents’ mental health? Findings from a national Australian cohort study
  • Jan 6, 2023
  • Community, Work & Family
  • Tianying Wang + 4 more

Around half of all Australian adolescents combine their final years of secondary education with a part-time job and this may be creating pressure that impacts their mental health. However, there is virtually no national population-based research investigating how work-study conflicts for young people might adversely affect mental health. This study used data from Wave 7 of the Longitudinal Study of Australian Children (LSAC), including 996 adolescents (16–17 years, 44% males) who were working and studying concurrently in secondary school. The extent of work-study conflict was measured using a four-item scale. Depression and anxiety levels were assessed using the Short Mood and Feelings Questionnaire (SMFQ) and the Spence Children’s Anxiety Scale (SCAS). Associations were tested using Linear Regression, adjusting for a range of covariates (including psychosocial job quality and prior wave 6 depression/anxiety). Half of all students reported experiencing at least one indicator of work-study conflict. After adjusting for covariates (including prior depression/anxiety), work-study conflicts were significantly associated with greater depression (β = .33, p < 0.001) and anxiety (β = .26, p < 0.001). Many young Australians are having difficulties balancing their work and study commitments in their final secondary school years, and this is associated with greater depression and anxiety.

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