A model for the effective engagement of all stakeholders in engineering education and its pilot implementation

Methodologies for engineering learning and teaching (MELT) approach aims to enhance the attractiveness of education through science, technology, engineering and mathematics (STEM) among young people, while promoting awareness of future careers in these areas. To this end, students’ expectations are considered within university programmes, aiming to an increased engagement in STEM careers. To accomplish these goals, a new and integrated approach (MELT) is presented, involving the main stakeholders in both scientific education and society. An education framework is presented, providing guidelines for an improved collaborative approach to STEM education in the future. Results from the pilot implementation of MELT are presented, from a small-scale education parliament prototype. From these initial stage and results, it is seen that there is a need for a proper alignment of expectations from all involved stakeholders, concerning the engineering education towards society’s demands.     

Conceptual and procedural approaches to mathematics in the engineering curriculum: views of qualified engineers*

The research interest underpinning this paper concerns the type of mathematical knowledge engineering students may acquire during their specialised education in terms of the conceptual and procedural dimensions of doing and using mathematics. This study draws on interviews with 25 qualified engineers from South Africa and Sweden regarding their views on the role of mathematics in engineering education, with special focus on the conceptual and procedural aspects of mathematical knowledge. A thematic analysis of the interview data led to the identification of two main themes. According to the conceptual view a predominantly conceptual approach is needed and valued more than procedural skills, while the balanced view emphasises a balance of conceptual understanding and procedural fluency as well as links between them. It is suggested that the mathematical education of engineers would need to be more conceptually oriented to prepare for the demands at the workplace.     

Mathematics education in the United States: past to present

This article presents a historical review of mathematics education since the late 1950s in the United States. Three themes are used to organize the literature reviewed in the article: (a) broad sociopolitical forces, particularly highly publicized educational policy statements; (b) trends in mathematics research; and (c) theories of learning and instruction. At times, these themes coincide, as was the case in the 1990s. In other cases, such as the recent push for educational accountability, these themes conflict. Nonetheless, the themes go a long way to explain the serpentine nature of reform in the United States over the last 45 years. This article also attempts to account for developments in special education as well as general education research, something that does not appear in most historical presentations of mathematics education.     

21世纪国际数学教育在关注什么——基于ICME中TSG主题的分析

每一届国际数学教育大会(ICME)上专题研究组(TSG)的设置反映了国际学术界,至少是当届ICME的国际程序委员会(IPC)对国际学术动态的把握以及对前一届会议实施结果的调整,作为国际学术发展的趋势有一定的参考意义。利用内容分析法,对21世纪以来6届大会(2000年ICME-9至2021年ICME-14)的TSG主题设置进行了历史梳理,并分8个模块进行深入分析,总结数学教育领域的主要研究内容和研究热点,发现了传统主题继续保持,部分主题独立发展,零散主题难以稳定,新生主题有望跻身的特点,最后对ICME-14以及数学教育的发展趋势进行了展望。     

Linking mathematics with engineering applications at an early stage – implementation,experimental set-up and evaluation of a pilot project

Too difficult, too abstract, too theoretical – many first-year engineering students complain about their mathematics courses. The project MathePraxis aims to resolve this disaffection. It links mathematical methods as they are taught in the first semesters with practical problems from engineering applications – and thereby shall give first-year engineering students a vivid and convincing impression of where they will need mathematics in their later working life. But since real applications usually require more than basic mathematics and first-year engineering students typically are not experienced with construction, mensuration and the use of engineering software, such an approach is hard to realise. In this article, we show that it is possible. We report on the implementation of MathePraxis at Ruhr-Universität Bochum. We describe the set-up and the implementation of a course on designing a mass damper which combines basic mathematical techniques with an impressive experiment. In an accompanying evaluation, we have examined the students' motivation relating to mathematics. This opens up new perspectives how to address the need for a more practically oriented mathematical education in engineering sciences.     

“Finding the Joy in the Unknown”: Implementation of STEAM Teaching Practices in Middle School Science and Math Classrooms

In response to a desire to strengthen the economy, educational settings are emphasizing science, technology, engineering, and mathematics (STEM) curriculum and programs. Yet, because of the narrow approach to STEM, educational leaders continue to call for a more balanced approach to teaching and learning, which includes the arts, design, and humanities. This desire created space for science, technology, engineering, arts, and mathematics (STEAM) education, a transdisciplinary approach that focuses on problem-solving. STEAM-based curricula and STEAM-themed schools are appearing all over the globe. This growing national and global attention to STEAM provides an opportunity for teacher education to explore the ways in which teachers implement STEAM practices, examining the successes and challenges, and how teachers are beginning to make sense of this innovative teaching practice. The purpose of this paper is to examine the implementation of STEAM teaching practices in science and math middle school classrooms, in hopes to provide research-based evidence on this emerging topic to guide teacher educators.     

The role of mathematics learning centres in engineering education

Mathematics departments in many universities, in many countries, are under pressure. The demand for mathematics undergraduate programmes is diminish- ing and service mathematics is under threat. In particular, engineering schools are either reducing the number of mathematics courses in degree programmes or engineering staff are teaching mathematics as part of engineering analysis courses. There is also a strong trend in engineering education to make greater use of computer courseware like Mathcad, Matlab and other software systems for the mathematical and statistical components of engineering programmes. Engineer- ing education is undergoing substantial change. The mathematics of engineering programmes will need to change accordingly. Mathematics learning centres have been established in many universities world-wide. Initially their main role was to provide assistance for those who had insufficient levels of competency in pre- requisite mathematics. However, these centres can also make a very useful contribution to the latest trends in the mathematics education of engineering undergraduates. This paper will describe that contribution.     

DEVELOPING AND IMPLEMENTING AN INTEGRATED,PROBLEM-BASED ENGINEERING TECHNOLOGY CURRICULUM IN AN AMERICAN TECHNICAL COLLEGE SYSTEM

The South Carolina Advanced Technological (SC ATE) Center of Excellence is establishing a model for postsecondary reform of mathematics, science, engineering technology, and communications education through its mission of increasing the quantity, quality, and diversity of engineering technology graduates from two-year technical colleges. An integrated, problem-based curriculum, collaborative teaching strategies, and extensive active learning techniques - together with faculty and student teams - form the cornerstone of the SC ATE approach. Two major instructional components have been developed: Technology Gateway, also known as pre-engineering technology, and the first-year engineering technology core (ET Core). Just-in-time delivery of mathematics concepts and other subject matter is an important component of the integrated curriculum. The SC ATE approach to technician education is greatly improving student retention in challenging engineering technology programs. Student confidence in mathematical ability is increasing, along with student capabilities in working in teams in an integrated curriculum setting. SC ATE is partially funded by the National Science Foundation and the South Carolina State Board for Technical and Comprehensive Education.     

The Impact of Design-Based STEM Integration Curricula on Student Achievement in Engineering,Science, and Mathematics

The new science education reform documents call for integration of engineering into K-12 science classes. Engineering design and practices are new to most science teachers, meaning that implementing effective engineering instruction is likely to be challenging. This quasi-experimental study explored the influence of teacher-developed, engineering design-based science curriculum units on learning and achievement among grade 4–8 students of different races, gender, special education status, and limited English proficiency (LEP) status. Treatment and control students (n = 4450) completed pretest and posttest assessments in science, engineering, and mathematics as well as a state-mandated mathematics test. Single-level regression results for science outcomes favored the treatment for one science assessment (physical science, heat transfer), but multilevel analyses showed no significant treatment effect. We also found that engineering integration had different effects across race and gender and that teacher gender can reduce or exacerbate the gap in engineering achievement for student subgroups depending on the outcome. Other teacher factors such as the quality of engineering-focused science units and engineering instruction were predictive of student achievement in engineering. Implications for practice are discussed.     

“Doing the Math”: Maternal Beliefs About Early Mathematics Versus Language Learning

Research Findings: Little is known about how parents approach preschoolers' mathematics learning and how this aligns with early mathematics education research and policy. This study examined these questions by contrasting parents' approaches to early mathematics and language and by exploring key themes in parents' talk about mathematics learning and education. Consistent with current research and policy, parents reported helping preschoolers learn mathematics and attempting to connect this learning to children's interests and everyday experiences. However, parents admitted to lacking goals for and knowledge about early mathematics. In addition, compared to language, parents reported that mathematics was taught less often at home, should be emphasized less in preschools, was less interesting to preschoolers, required more direct instruction, and was less of a personal interest and strength. Practice or Policy: Parent interventions could capitalize on parents' beliefs and practices by providing parents with concrete examples of what mathematics preschoolers learn through daily activities, how to maximize children's mathematics interests, and what the similarities are between early mathematics and language. These efforts will also need to help parents overcome their mathematics anxieties and show parents why early mathematics education is important. Similar strategies could be used to help early childhood teachers improve their mathematics practice.     

Exploring the Promises and Perils of Integrated STEM Through Disciplinary Practices and Epistemologies

Growing interest in integrated science, technology, engineering, and mathematics (iSTEM) education has been promoted as one way to increase innovation capacity, support future employment, and enhance learning outcomes in K-12 education throughout the USA. Existing efforts to construct iSTEM curricula have largely focused on finding points of integration among commonly shared disciplinary practices, but these efforts have not explicitly accounted for the distinct epistemologies of the disciplines. In this study, we critically examined the concept of iSTEM by conducting a thematic analysis of K-12 STEM learning standards documents to identify cross-cutting themes among the practices of the various disciplines. We then analyzed these themes using disciplinary epistemologies in order to highlight some promises and perils of an integrated approach to STEM education. We identified eight cross-cutting themes: communicating, investigating, modeling, using tools, working with data, making sense of problems or phenomena, solving problems, and evaluating ideas or solutions. Through our analysis of practices and epistemologies, we discuss the promises of iSTEM, including fewer learning standards, enhanced epistemic fluency, increased diversity and inclusion in STEM, and opportunities to challenge settled and siloed disciplinary knowledge. We also discuss potential perils, which consist of conflation and/or exclusion of various STEM practices and epistemologies. We urge continued examination of iSTEM with an eye toward the epistemic implications.

     

数学教育中的素质教育分析

数学从小学到高中被作为三大主科,在大学时,又是理工类学生必修之课,由此可见数学是非常重要的。我国提倡素质教育,因此数学教学中也要进行素质教育。本文从数学教育中创新思维能力的培养、数学教育中学生智力发展的培养、数学教育中德育的培养、数学教育中人文素质的培养以及数学教育中美育价值的培养这几个方面对数学教育中的素质教育进行了分析。     

An Evolution of Mathematical Beliefs: A Case Study of Three Pre-K Teachers

This case study involved examination of the evolution of mathematical beliefs of three prekindergarten teachers. The researcher followed three teachers at one school in west Alabama over the course of 6 months as they implemented a new mathematics curriculum in their pre-K classrooms. Interviews were conducted prior to implementation and at the end of the school year. Classroom observations were done throughout the implementation process. Three themes emerged from the data (a) math resources for the pre-K classroom, (b) pushing beyond—thinking mathematically, and (c) instructional strategies used the pre-K classroom. These themes revealed how all of the teachers' perceptions of early childhood mathematics curriculum and instruction evolved during the course of the study. These findings have implications for early childhood teacher education programs and professional development.     

Self-efficacy,mathematics’ anxiety and perceived importance: an empirical study with Portuguese engineering students

The accomplishment in mathematics has gained attention from educators and arises as an emerging field of study, including in engineering education. However, in Portugal, there is still incipient research in the area; so it is high time to explore factors that might enlighten the gap in the study of the relationship between Portuguese engineering students and the learning of mathematics. The main purpose of this study is to explore three factors identified in the literature as influencing the learning of mathematical concepts – self-efficacy, anxiety towards mathematics and perceived importance of mathematics – and search for differences by gender and by type of engineering course, a dimension not much reported in the literature but which was revealed as important in the team's previous research. Based on a sample of 140 undergraduate students of different engineering courses from University of Minho, results only identify differences in the type of course and not in gender. These results constitute a contribution and open new paths for future research in the engineering education.     

“Doing the Math”: Maternal Beliefs About Early Mathematics Versus Language Learning

Research Findings: Little is known about how parents approach preschoolers' mathematics learning and how this aligns with early mathematics education research and policy. This study examined these questions by contrasting parents' approaches to early mathematics and language and by exploring key themes in parents' talk about mathematics learning and education. Consistent with current research and policy, parents reported helping preschoolers learn mathematics and attempting to connect this learning to children's interests and everyday experiences. However, parents admitted to lacking goals for and knowledge about early mathematics. In addition, compared to language, parents reported that mathematics was taught less often at home, should be emphasized less in preschools, was less interesting to preschoolers, required more direct instruction, and was less of a personal interest and strength. Practice or Policy: Parent interventions could capitalize on parents' beliefs and practices by providing parents with concrete examples of what mathematics preschoolers learn through daily activities, how to maximize children's mathematics interests, and what the similarities are between early mathematics and language. These efforts will also need to help parents overcome their mathematics anxieties and show parents why early mathematics education is important. Similar strategies could be used to help early childhood teachers improve their mathematics practice.     

PRESERVICE MATHEMATICS AND SCIENCE TEACHERS IN AN INTEGRATED TEACHER PREPARATION PROGRAM FOR GRADES 7–12: A 3-YEAR STUDY OF ATTITUDES AND PERCEPTIONS RELATED TO INTEGRATION

The purpose of this article is twofold: (a) to describe a unique teacher licensure program for grades 7–12 that integrates mathematics, science, and technology education and (b) to explore the attitudes and perceptions related to the integration of mathematics, science, and technology education of three cohorts of preservice teachers enrolled in the first 3 years of the program. Eighty-one preservice teachers responded to a semantic differential to measure attitudes and perceptions related to “mathematics, science, and technology education integration.” Principal components and internal consistency reliability analyses were computed to provide validity and reliability evidence. Preservice teachers also responded to one open-ended, free-response written question, “What does the integration of mathematics, science, and technology education mean to you?” Multivariate and univariate analyses of variance with repeated measures and Pearson cross-tabulation chi-square analyses were computed to identify pretest–posttest differences for the value and difficulty scales, identified by the principal components analysis. Analytic inductive methods were used to identify emergent themes in student written responses to the open-ended question. Results indicated no change in preservice teacher attitudes and perceptions related to the value of integration—they clearly valued integration at the onset and completion of the program, often citing student benefits. However, a significant change in preservice teacher attitudes and perceptions related to difficulty was noted. Upon completion of the program, preservice teachers perceived integration to be more difficult and identified barriers and challenges—demonstrating a more realistic, practical, and cautious approach to the integration of mathematics, science, and technology education.     

Millennial generation preservice teachers inspiring the design of teacher education

The article presents an interpretive phenomenological approach (IPA) to preservice teachers’ experiences of their current secondary teacher education programme (STEP) in Finland. The focus of the study is the millennial generation cohort in which new teachers comprise a key group to be studied because they will contribute to the future of education. Thirteen preservice teachers participated in the study. Their experiences are interpreted through the lenses of generation theory and contemporary teacher education research. The findings include three phenomenological themes that are core elements of STEP: time balance, reciprocal participation and meaningfulness. These themes are discussed and suggestions made for ways to transform teacher education to make it more relevant.     

新工科背景下项目驱动的“软件工程”课程教学实践研究

培养学生解决复杂工程问题的能力以及提高他们的团队协作与沟通能力是新工科人才培养的重点,但以案例或项目方式驱动的原有软件工程教学方式在这些方面涉及的较少,因此参照新工科教育的要求,提出以软件项目设计流程和学生能力培养为主要特色的“软件工程”课程教学新方法。从湖南科技大学计算机科学与工程学院的教学实践来看,该方法能够有效地帮助学生提高求解复杂问题以及进行较大团队协作与沟通的能力。     

数学作文的命题研究

作为一种新兴的数学教育方式,数学作文是发扬教学民主,张扬学生数学个性,展示学生数学情感、态度与价值观,促进元认知能力和创新能力发展,丰富学生数学文化生活的有效方式.数学作文的命题对于数学作文教学的开展有着举足轻重的作用.文章以建构主义、人本主义学习理论和新课程的基本理念为理论指导,依据数学作文自身的特点,结合教学实践,对数学作文的命题进行了操作层面的系统研究.     

Pre-service teachers' beliefs about and attitudes toward mathematics: the case of Dudu

There is a need to move beyond the use of predetermined categories to classify teachers' orientations and an attempt should be made to understand, from the teachers' perspectives, their orientations and the beliefs from which they are generated. Such an understanding may help in the development of mathematics teacher education programmes that will assist teachers to formulate appropriate attitudes toward mathematics. This paper provides an in-depth study of one pre-service elementary teacher's views about mathematics and mathematics teaching. Dudu is a `case' that fits in with the emergent themes identified in the larger sample. Data for the study were collected by means of audio tape, an observational framework, field notes, student's written work and unstructured and formal interviews. The themes that emerged and that were emphasised by the participant were: limited vision for mathematics, construction of meaning in mathematics, knowledge of mathematics content and poor self-perception of pre-service primary mathematics teachers. The findings also suggest that although the participant reported uneasiness in learning mathematics, she was very enthusiastic about her teaching practice.