skip to main content


Title: On the Creation of Research-Practice Partnerships for Mathematics Teaching and Learning
In this paper, we explore the development of effective research-practice partnerships (RPPS) that created mediated spaces for mathematics teaching and learning, gleaning learning across activities and efforts.  more » « less
Award ID(s):
1758325
NSF-PAR ID:
10344641
Author(s) / Creator(s):
; ;
Editor(s):
Fernández, C.; Llinares, S.; Gutiérrez, A.; Planas, N.
Date Published:
Journal Name:
Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education
Volume:
4
Page Range / eLocation ID:
359
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. This theory paper focuses on understanding how mastery learning has been implemented in undergraduate engineering courses through a systematic review. Academic environments that promote learning, mastery, and continuous improvement rather than inherent ability can promote performance and persistence. Scholarship has argued that students could achieve mastery of the course material when the time available to master concepts and the quality of instruction was made appropriate to each learner. Increasing time to demonstrate mastery involves a course structure that allows for repeated attempts on learning assessments (i.e., homework, quizzes, projects, exams). Students are not penalized for failed attempts but are rewarded for achieving eventual mastery. The mastery learning approach recognizes that mastery is not always achieved on first attempts and learning from mistakes and persisting is fundamental to how we learn. This singular concept has potentially the greatest impact on students’ mindset in terms of their belief they can be successful in learning the course material. A significant amount of attention has been given to mastery learning courses in secondary education and mastery learning has shown an exceptionally positive effect on student achievement. However, implementing mastery learning in an undergraduate course can be a cumbersome process as it requires instructors to significantly restructure their assignments and exams, evaluation process, and grading practices. In light of these challenges, it is unclear the extent to which mastery learning has been implemented in undergraduate engineering courses or if similar positive effects can be found. Therefore, we conducted a systematic review to elucidate, how in the U.S., (1) has mastery learning been implemented in undergraduate engineering courses from 1990 to the present time and (2) the student outcomes that have been reported for these implementations. Using the systematic process outlined by Borrego et al. (2014), we surveyed seven databases and a total of 584 articles consisting of engineering and non-engineering courses were identified. We focused our review on studies that were centered on applying the mastery learning pedagogical method in undergraduate engineering courses. All peer-reviewed and practitioner articles and conference proceedings that were within our scope were included in the synthetization phase of the review. Most articles were excluded based on our inclusion and exclusion criteria. Twelve studies focused on applying mastery learning to undergraduate engineering courses. The mastery learning method was mainly applied on midterm exams, few studies used the method on homework assignments, and no study applied the method to the final exam. Students reported an increase in learning as a result of applying mastery learning. Several studies reported that students’ grades in a traditional final exam were not affected by mastery learning. Students’ self-reported evaluation of the course suggests that students prefer the mastery learning approach over traditional methods. Although a clear consensus on the effect of the mastery learning approach could not be achieved as each article applied different survey instruments to capture students’ perspectives. Responses to open-ended questions have mixed results. Two studies report more positive student comments on opened-ended questions, while one study report receiving more negative comments regarding the implementation of the mastery learning method. In the full paper we more thoroughly describe the ways in which mastery learning was implemented along with clear examples of common and divergent student outcomes across the twelve studies. 
    more » « less
  2. Recognizing the value of engagement in learning, recent engineering education initiatives have worked to encourage all types of students to pursue engineering while also facilitating the construction of makerspaces on university campuses. Makerspaces have the potential to engage a broader range of students by providing unique and personalized pathways into engineering. While this aims to improve the quality of an engineer’s education, the reality settles in when we begin to question whether these makerspaces are, in fact, encouraging learning in engineering for all types of students. In this work, we focus on investigating how a university makerspace affords learning for female students. We implemented an in-depth phenomenologically based interviewing approach which involved a series of three 90-minute semi-structured interviews with six highly engaged female undergraduate students involved in different makerspaces at a single university. The purpose of these interviews was to engage the students in their experiences with the makerspaces and the projects that they work on in this space, so as to inform how these spaces afford learning, specifically the impact on female student learning. All interviews were conducted by the same female graduate student. This work focuses on the second interviews of two females who had student worker roles in their respective makerspaces on campus. All of the interviews for these two females were transcribed resulting in 180 pages of single-spaced transcriptions, and the second interviews were analyzed through two phases of qualitative data analysis. Types of learning emerged in multiple forms and are presented via case studies of each female participant. For case one, these types of learning include machines learning, social learning, design learning, and self-learning. In the second case, the types of learning are tool learning, resourceful learning, space learning, and management learning. These types of learning are then further discussed according to engineering education pedagogy and implications. Makerspaces are often labeled as “open, learning environments,” and this work demonstrates how these spaces facilitate unique forms of learning that engage these women in the makerspace. 
    more » « less
  3. The research objective of this NSF-funded study is to explore and understand how open-ended, hands-on making work and activities can reflect student learning trajectories and learning gains in the product-based learning, undergraduate engineering classroom. The aim is to expand understanding of what making learning in the context of engineering design education might be and to illustrate educational pathways within the engineering education curriculum. Making is rooted in constructionism – learning by doing and constructing knowledge through that doing. Aspects of making work and activities that are unique to making that could appear in the engineering classroom or curriculum include: sharing, practical ingenuity, personal investment, playful invention, risk taking, community building and self-directed learning. The main research questions of this work is: How do engineering students learn and apply making? What are the attributes of making in the engineering classroom? Empirical evidence of what making in the engineering classroom looks like, and how it changes over time, and how students conceptualize making through making, designerly, and engineering ways of knowing-doing-acting will come from revisiting and additional qualitative analysis of student project data collected during a product-based learning course engineering design course. To best address the research question, this proposed study proposes multiple qualitative methods to collect and analyze data on engineering students learning making. We aim to triangulate what students think they are learning, what they are being taught, and what students are demonstrating. This work is exploratory in nature. In our approach to understanding making outside of formal engineering education, at events like Maker Faires in the Maker Community, it does seem evident that there is a lot of overlap between a making mindset and a designerly way of knowing or engineering way of knowing. In the sphere of formal engineering education however, making is regularly viewed as lesser than engineering, engineering design without the engineering science or analysis. Making is not yet valued as part of formal engineering education efforts. If making is something that can be connected to beneficial student learning and is additive to the required technical content and provides a means for students to figure out what area of problems they want to tackle in the studies and beyond, it would make for a student-centered making revolution. This study advances the knowledge of the learning pathways of making by capturing empirical evidence of such learning trajectories. This study will advance the currently limited knowledge of learning in the making community and making in the engineering classroom. Initial findings generated during this study describe the learning trajectories of engineers learning making. By examining the engineering student making learning experience through the lens of cognitive science and illustrating empirical making learning trajectories, this work may impact the quality of engineering design teaching. By sharing learning trajectories across multiple communities, we seek to change the conversation by illuminating pathways for a wider array of student makers to become the makers and engineers of the future. 
    more » « less
  4. The research objective of this NSF-funded study is to explore and understand how open-ended, hands-on making work and activities can reflect student learning trajectories and learning gains in the product-based learning, undergraduate engineering classroom. The aim is to expand understanding of what making learning in the context of engineering design education might be and to illustrate educational pathways within the engineering education curriculum. Making is rooted in constructionism – learning by doing and constructing knowledge through that doing. Aspects of making work and activities that are unique to making that could appear in the engineering classroom or curriculum include: sharing, practical ingenuity, personal investment, playful invention, risk taking, community building and self-directed learning. The main research questions of this work is: How do engineering students learn and apply making? What are the attributes of making in the engineering classroom? Empirical evidence of what making in the engineering classroom looks like, and how it changes over time, and how students conceptualize making through making, designerly, and engineering ways of knowing-doing-acting will come from revisiting and additional qualitative analysis of student project data collected during a product-based learning course engineering design course. To best address the research question, this proposed study proposes multiple qualitative methods to collect and analyze data on engineering students learning making. We aim to triangulate what students think they are learning, what they are being taught, and what students are demonstrating. This work is exploratory in nature. In our approach to understanding making outside of formal engineering education, at events like Maker Faires in the Maker Community, it does seem evident that there is a lot of overlap between a making mindset and a designerly way of knowing or engineering way of knowing. In the sphere of formal engineering education however, making is regularly viewed as lesser than engineering, engineering design without the engineering science or analysis. Making is not yet valued as part of formal engineering education efforts. If making is something that can be connected to beneficial student learning and is additive to the required technical content and provides a means for students to figure out what area of problems they want to tackle in the studies and beyond, it would make for a student-centered making revolution. This study advances the knowledge of the learning pathways of making by capturing empirical evidence of such learning trajectories. This study will advance the currently limited knowledge of learning in the making community and making in the engineering classroom. Initial findings generated during this study describe the learning trajectories of engineers learning making. By examining the engineering student making learning experience through the lens of cognitive science and illustrating empirical making learning trajectories, this work may impact the quality of engineering design teaching. By sharing learning trajectories across multiple communities, we seek to change the conversation by illuminating pathways for a wider array of student makers to become the makers and engineers of the future. 
    more » « less
  5. The research objective of this NSF-funded study is to explore and understand how open-ended, hands-on making work and activities can reflect student learning trajectories and learning gains in the product-based learning, undergraduate engineering classroom. The aim is to expand understanding of what making learning in the context of engineering design education might be and to illustrate educational pathways within the engineering education curriculum. Making is rooted in constructionism – learning by doing and constructing knowledge through that doing. Aspects of making work and activities that are unique to making that could appear in the engineering classroom or curriculum include: sharing, practical ingenuity, personal investment, playful invention, risk taking, community building and self-directed learning. The main research questions of this work is: How do engineering students learn and apply making? What are the attributes of making in the engineering classroom? Empirical evidence of what making in the engineering classroom looks like, and how it changes over time, and how students conceptualize making through making, designerly, and engineering ways of knowing-doing-acting will come from revisiting and additional qualitative analysis of student project data collected during a product-based learning course engineering design course. To best address the research question, this proposed study proposes multiple qualitative methods to collect and analyze data on engineering students learning making. We aim to triangulate what students think they are learning, what they are being taught, and what students are demonstrating. This work is exploratory in nature. In our approach to understanding making outside of formal engineering education, at events like Maker Faires in the Maker Community, it does seem evident that there is a lot of overlap between a making mindset and a designerly way of knowing or engineering way of knowing. In the sphere of formal engineering education however, making is regularly viewed as lesser than engineering, engineering design without the engineering science or analysis. Making is not yet valued as part of formal engineering education efforts. If making is something that can be connected to beneficial student learning and is additive to the required technical content and provides a means for students to figure out what area of problems they want to tackle in the studies and beyond, it would make for a student-centered making revolution. This study advances the knowledge of the learning pathways of making by capturing empirical evidence of such learning trajectories. This study will advance the currently limited knowledge of learning in the making community and making in the engineering classroom. Initial findings generated during this study describe the learning trajectories of engineers learning making. By examining the engineering student making learning experience through the lens of cognitive science and illustrating empirical making learning trajectories, this work may impact the quality of engineering design teaching. By sharing learning trajectories across multiple communities, we seek to change the conversation by illuminating pathways for a wider array of student makers to become the makers and engineers of the future. 
    more » « less