Mathematics in Engineering Education: a Review of the Recent Literature with a View towards Innovative Practices

Pepin, Birgit; Biehler, Rolf; Gueudet, Ghislaine

doi:10.1007/s40753-021-00139-8

Cited by 52 publications

(26 citation statements)

References 40 publications

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“…An analysis of works on mathematical competence in foreign countries (Holovan, 2014), (Niss & Højgaard, 2011), (Pepin et al, 2021) allows us to see that mathematical competence is defined using the concept of ability: mathematical competence means the ability to understand and evaluate mathematics and mathematical activity, its application and use in various contexts in which mathematics plays or can play a role. M. Niss considers mathematical competencies as clearly distinguishable and separate, basic components of mathematical competence, and describes 8 mathematical competencies, combined into two groups.…”

Section: Theoretical Foundations Of the Researchmentioning

confidence: 99%

Teaching Higher Mathematics Based on Competence-Based and Thesaurus Approaches

Kushmurotov

2023

FMO

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Formulation of the problem. The requirement to increase the level of mathematical training of future engineers and reduce the number of hours devoted to teaching higher mathematics gives rise to the task of developing and improving the methodology for teaching higher mathematics. The purpose of this article is to describe the methodology for teaching higher mathematics based on the thesaurus approach. Materials and methods. The research materials are pedagogical and methodical literature, and experiences of foreign and domestic scientists. In the course of the study, general scientific methods (analysis, synthesis, concretization, systematization, and generalization) were used. Results. The thesaurus approach to learning helps to clarify the mathematical competence of a particular topic, the basis of educational information is the educational thesaurus, the student's lexicon necessary for the optimal distribution of educational information by type of training session and the development of didactic materials, the choice of methods and forms of education. Conclusions. Determining the content of the educational thesaurus of a specific topic of higher mathematics helps to clearly describe the mathematical competencies of the relevant topic, the stages of its formation, analyze and clarify the necessary educational information, distribute it by type of lesson (lecture, practical lesson, self-study). Determining the student's vocabulary necessary for mastering a new topic helps to determine the methodology and means of teaching, in particular, to develop auxiliary tasks and questions for updating the student's vocabulary, to establish successive links between the educational thesaurus and the student's vocabulary, to implement a differentiated approach to learning. The proposed methodology has the properties of flexibility, additions, and modifications depending on the learning objectives and specific academic group. Further research is needed on the effective use of the thesaurus approach in the process of teaching higher mathematics.

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Section: Theoretical Foundations Of the Researchmentioning

confidence: 99%

Teaching Higher Mathematics Based on Competence-Based and Thesaurus Approaches

Kushmurotov

2023

FMO

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“…In Science, Technology, Engineering and Mathematics (STEM) education this is even more the case since mathematics provides the basis and language for physics and engineering specific courses students need to complete. On the other side, mathematics is also viewed as a means to teach students to think analytically, to model and to solve problems in their fields [4]. Mathematics education for non-mathematics students (or major) is usually referred to as service mathematics education (SME), since the subject is being taught as a service to other disciplines and their programmes.…”

Section: Service Mathematics In Higher Engineering Educationmentioning

confidence: 99%

Research on mathematical competencies in engineering education: where are we now?

Wong¹,

Papageorgiou²,

Klaassen³

et al. 2022

Towards a New Future in Engineering Education, New Scenarios That European Alliances of Tech Universities Open Up

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In tertiary mathematics education for engineers (hereafter called service mathematics education, SME), there is a long-lasting controversy on what and how to teach. The goal of SME is to provide a base for engineering-specific courses and to develop mathematical competencies needed for academic success and professional practice. A leading question in engineering education is how to take mathematical competencies into account when designing content. Mathematical competencies are employed to understand, judge, do, and use mathematics in a variety of mathematical contexts and situations in which mathematics could play a role [1]. Although mathematical competencies have been introduced for about two decades, Alpers [2] noted that research in engineering higher education had focused chiefly on the modelling competency and less on other competencies. By means of a scoping review, the current study aims to examine how mathematical competencies are investigated in higher education research. The main research question is “To what extent and in what ways have mathematical competencies been examined in higher engineering education research?” Papers were retrieved and qualitatively reviewed using the Preferred Reporting Items for Systematic Reviews and Meta- Analyses (PRISMA) guidelines. A systematic search yielded 166 records, of which, 65 unique records were relevant to engineering education and screened for eligibility. A synthesis of 23 studies reviewed showed that problem-solving and modelling were the most investigated mathematical competencies and were often investigated together or with other mathematical competencies. The inconsistencies in the terminologies used suggest a need for clearer conceptualizations to advance research and inform practice on mathematical competencies.

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“…Mathematics is a vital part of engineering programs in universities over the world (Coupland et al, 2008;Levey & Johnson, 2020;Pepin et al, 2021). Mathematics in the associate engineering program usually cover…”

Section: Introductionmentioning

confidence: 99%

Solving word problems involving triangles by transitional engineering students: Learning outcomes and implications

Guo

2023

EUR J SCI MATH ED

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Transitional engineering students are those who are academically ineligible to enter a bachelor’s engineering program but are enrolled in an associate engineering program with a university. Successful completion of such an associate engineering program allows the higher achievers to transfer to a full bachelor’s engineering program. The associate engineering program is taken commonly by self-employed tradesmen, technical workers, and young apprentices in regional, rural, and remote (RRR) areas. The foundation engineering mathematics course in the associate engineering program, particularly knowledge and skills in solving word problems involving triangles, plays a key role for the smooth transition of these students to the engineering disciplinary courses. However, there is little we have known about the performances of the transitional engineering students in solving problems involving triangles as the associate engineering programs are not among the mainstream of undergraduate programs. This study analyzed the 27 transitional engineering students’ performances in solving word problems involving triangles assigned to the students in the foundation mathematics course at a regional Australian university and found that the RRR transitional engineering students demonstrated a higher level of study ethics and achievement in solving word problems involving triangles, compared with the RRR student mathematics teachers. This seems mainly due to the professional experiences in delivering real-world projects prior to the start of their mathematics learning. Further research should be expanded to more areas of mathematics to gauge the overall performances of the transitional engineering students in mathematics learning and progression.

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Mathematics in Engineering Education: a Review of the Recent Literature with a View towards Innovative Practices

Cited by 52 publications

References 40 publications

Teaching Higher Mathematics Based on Competence-Based and Thesaurus Approaches

Teaching Higher Mathematics Based on Competence-Based and Thesaurus Approaches

Research on mathematical competencies in engineering education: where are we now?

Solving word problems involving triangles by transitional engineering students: Learning outcomes and implications

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