Effective Pedagogy of Guiding Undergraduate Engineering Students Solving First-Order Ordinary Differential Equations

Guo, William; Li, Wei; Tisdell, Christopher C.

doi:10.3390/math9141623

Cited by 10 publications

(9 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Unfortunately, as most RRR student mathematics teachers could hardly attend the weekly live online classes regularly, voluntarily participating in such a formal and serious one-to-one interview would be their last preference for engagement. Fortunately, given the four fact-oriented research goals regarding student's procedural and technical efficiency in mathematical problem solving, similar to the works done previously by others [9,22,30], the chosen method would be sufficient to achieve the goals of this exploratory case study.…”

Section: Research Methods and Considerationsmentioning

confidence: 83%

Exploratory Case Study on Solving Word Problems Involving Triangles by Pre-Service Mathematics Teachers in a Regional University in Australia

Guo¹

2022

Mathematics

Self Cite

View full text Add to dashboard Cite

Studies have shown that solving real-world problems involving triangles is one of the most difficult topics for the pre-service secondary mathematics teachers engaging study and training in metropolitan institutions. We have known little about performances of the pre-service mathematics teachers from regional, rural and remote (RRR) areas engaging study and training in regional universities. This case study intends to explore whether solving word problems involving triangles would also be challenging for the RRR pre-service mathematics teachers, and what unique factors may negatively affect the RRR student teachers’ performances in solving word problems involving triangles. This study compared the works of two groups of the first-year pre-service mathematics teachers who enrolled in an undergraduate education program in a regional university in Australia. The two chosen word questions for comparison were parts of the assignments involving solving triangles to the students. Through statistical analysis, this study indicates that the considerable proportion of no attempts among the enrolled RRR students is the distinctive difference between the metropolitan and RRR pre-service mathematics teachers. Although still challenging, the RRR student teachers who attempted the word problems seemed performed better than the metropolitan students in solving word problems involving triangles.

show abstract

Section: Research Methods and Considerationsmentioning

confidence: 83%

Exploratory Case Study on Solving Word Problems Involving Triangles by Pre-Service Mathematics Teachers in a Regional University in Australia

Guo¹

2022

Mathematics

Self Cite

View full text Add to dashboard Cite

show abstract

“…Consequently, pedagogical improvement is only part of any success in supporting student learning. Maintaining the quality standard achieved and even improving further for any course requires sustainable efforts from instructors and active engagement with learning from the students [17]. 10.…”

Section: Discussionmentioning

confidence: 99%

Design and implementation of multi-purpose quizzes to improve mathematics learning for transitional engineering students

Guo

2022

STEME

Self Cite

View full text Add to dashboard Cite

<p style='text-indent:20px;'>For students who are academically ineligible to enter a bachelor program in engineering but still want to upskill their knowledge in engineering, many universities provide an associate degree program in engineering to these students. The higher achievers from the associate degree program can transfer to a full degree program in engineering. Mathematics courses in such associate degree programs are often challenging to both the teachers and students due to various reasons. This paper presents a small part of a mathematics revitalization project on pedagogical adjustment to scaffold mathematics learning for students in an associate engineering program at Central Queensland University (CQU), a regional university in Australia, from 2018 to 2020. The design and implementation of the online multi-purpose quizzes (MPQ) to improve both the learning environment and outcomes for the engineering students from 2018 to 2020 are reported in this work. Statistically, the online MPQ empowered students to achieve their best possible outcomes by attempting the questions with time flexibility, on a confined set of topics, and with more chances of amending errors than the traditional written assessments. Hence, their performance in the online MPQ was consistently better than that in the written assignments in 2018-2020. The weaknesses of the online MPQ are also discussed.</p>

show abstract

“…The learning outcomes of using this streamlined approach to solve sophisticated problems by integration by parts from both the engineering and education students in 2018 and 2019 were encouraging, but it also confirmed the trend that more students become unwilling to engage with any form of teaching and learning activities, regardless of the pedagogical enhancement made by the teachers. This trend has been observed by many educators around the world for the recent two decades [8,9], particularly in regional universities [10]. Hence, dealing with pedagogical challenges in teaching and learning is not easy, but overcoming social challenges to motivate students to actively engage with teaching and learning is even more challenging.…”

Section: Discussionmentioning

confidence: 99%

Streamlining applications of integration by parts in teaching applied calculus

Guo¹

2022

STEME

Self Cite

View full text Add to dashboard Cite

<p style='text-indent:20px;'>Integration by parts can be applied in various ways for obtaining solutions for different types of integrations and hence it is taught in all calculus courses in the world. However, the coverage and discourse of various applications of integration by parts in most textbooks, often packed into one section, lack a cohesion of progression for solving different types of integrals. Students may be confused by such incohesive presentation of the method and applications in the textbooks. Based on the author's experiences and practices in teaching applied calculus for undergraduate engineering and education students since 2013, a streamlined approach in teaching integration by parts has been gradually developed to the current state and ready to be shared with the mathematics teaching and learning communities. This streamlined approach allows integration by parts to be applied to solve complicated and integrated problems in a progressive way so that students can improve efficacy in their use of integration by parts gradually. This approach also makes communications easier with students on particular problems involving integration by parts.</p>

show abstract

Effective Pedagogy of Guiding Undergraduate Engineering Students Solving First-Order Ordinary Differential Equations

Cited by 10 publications

References 22 publications

Exploratory Case Study on Solving Word Problems Involving Triangles by Pre-Service Mathematics Teachers in a Regional University in Australia

Exploratory Case Study on Solving Word Problems Involving Triangles by Pre-Service Mathematics Teachers in a Regional University in Australia

Design and implementation of multi-purpose quizzes to improve mathematics learning for transitional engineering students

Streamlining applications of integration by parts in teaching applied calculus

Contact Info

Product

Resources

About