skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.


Title: Integrating Math and Science Through Engineering: Illustrative Examples From Curricula Implementation in Middle School Engineering Classrooms
ABSTRACT Engineering has emerged as a promising context for STEM integration in K‐12 schools. In the previous decade, the field has seen an increase in curricular resources and pedagogical approaches that invite students to utilize mathematics and science as they engage in engineering practices. This Innovation to Practice paper highlights one effort to meaningfully integrate mathematics and science through engineering in middle school classrooms. The STEM‐ID engineering course sequence consists of three 18‐week middle school engineering courses. Each of the 6th, 7th, and 8th grade courses integrate science and math with engineering design, enabling students to explore and practice foundational math and science skills in a low‐risk, non‐high‐stakes‐tested environment. This Innovation to Practice paper provides illustrative examples of STEM‐integration through the STEM‐ID curricula, focusing on four key areas: data analysis, measurement, experimental design, and force and motion concepts. Drawing on our project's implementation data, we highlight illustrative examples of STEM integration, in practice, and lessons learned by educators and researchers involved in the project.  more » « less
Award ID(s):
2101441
PAR ID:
10600249
Author(s) / Creator(s):
 ;  ;  ;  ;  ;  ;  
Publisher / Repository:
Wiley-Blackwell
Date Published:
Journal Name:
School Science and Mathematics
ISSN:
0036-6803
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. Despite recent progress in the adoption of engineering at the K-12 level, the scarcity of high-quality engineering curricula remains a challenge. With support from a previous NSF grant, our research team iteratively developed the three-year middle school engineering curricula, STEM-ID. Through a series of contextualized challenges, the 18-week STEM-ID curricula incorporate foundational mathematics and science skills and practices and advanced manufacturing tools such as computer aided design (CAD) and 3D printing, while introducing engineering concepts like pneumatics, aeronautics, and robotics. Our current project, supported by an NSF DRK-12 grant, seeks to examine the effectiveness of STEM-ID when implemented in diverse schools within a large school district in the southeastern United States. This paper will present early findings of the project’s implementation research conducted over two school years with a total of ten engineering teachers in nine schools. Guided by the Innovation Implementation framework (Century & Cassata, 2014), our implementation research triangulates observation, interview, and survey data to describe overall implementation of STEM-ID as well as implementation of six critical components of the curricula: engaging students in the engineering design process (EDP), math-science integration, collaborative group work, contextualized challenges, utilization of advanced manufacturing technology, and utilization of curriculum materials. Implementation data provide clear evidence that each of the critical components of STEM-ID were evident as the curricula were enacted in participating schools. Our data indicate strong implementation of four critical components (utilization of materials, math-science integration, collaborative group work, and contextualized challenges) across teachers. Engaging students in the EDP and advanced-manufacturing technology were implemented, to varying degrees, by all but two teachers. As expected, implementation of critical components mirrored overall implementation patterns, with teachers who completed more of the curricula tending to implement the critical components more fully than those who did not complete the curricula. In addition to tracking implementation of critical components, the project is also interested in understanding contextual factors that influence enactment of the curricula, including characteristics of the STEM-ID curricula, teachers, and organizations (school and district). Interview and observation data suggest a number of teacher characteristics that may account for variations in implementation including teachers’ organization and time management skills, self-efficacy, and pedagogical content knowledge (PCK). Notably, prior teaching experience did not consistently translate into higher completion rates, emphasizing the need for targeted support regardless of teachers' backgrounds. This research contributes valuable insights into the challenges and successes of implementing engineering curricula in diverse educational settings. 
    more » « less
  2. Pre-college engineering teachers bring unique backgrounds to their teaching practice. Many engineering teachers follow a non-traditional route to teaching engineering, often coming to engineering from teaching other subjects or from careers in other fields. Among the many variations influencing engineering teaching practices is pedagogical content knowledge (PCK), defined as the “the knowledge of, reasoning behind, and enactment of the teaching of particular topics in a particular way with particular students for particular reasons for enhanced student outcomes [1]”. This multiple case study explores the PCK of five middle school engineering teachers implementing the same middle school engineering curriculum, STEM-ID. The 18- week STEM-ID curriculum engages students in contextualized challenges that incorporate foundational mathematics and science practices and advanced manufacturing tools such as computer aided design (CAD) and 3D printing, while introducing engineering concepts like pneumatics, aeronautics, and robotics. Drawing on observation and interview data collected over the course of two semester-long implementations of STEM-ID, the study addresses the research question: What variations in PCK are evident among engineering teachers with different professional backgrounds and levels of experience? Five teachers were purposively selected from a larger group of teachers implementing the curriculum because they represent a range of professional backgrounds: one veteran engineering teacher, one former Math teacher, one former Science teacher, one former English/Language Arts teacher, and one novice teacher with a background in the software industry. The study utilizes the Refined Consensus Model of PCK to investigate connections between teacher backgrounds, personal PCK (pPCK), the personalized professional knowledge held by teachers, and enacted PCK (ePCK), the knowledge teachers draw on to engage in pedagogical reasoning while planning, teaching, and reflecting on their practice. Observation, interview, and survey data were triangulated to develop narrative case summaries describing each teacher’s PCK, which were then subjected to cross-case analysis to identify patterns and themes across teachers. Findings describe how teachers’ backgrounds translated into diverse forms of pPCK that informed the pedagogical moves and decisions teachers made as they implemented the curriculum (ePCK). Regardless of the previous subject taught (math, science, or ELA), teachers routinely drew upon their pPCK in other subjects as they facilitated the engineering design process. Teachers with previous experience teaching math or science tended to be more likely than others to foreground the integration of math or science within the curriculum. Comparison of ePCK observed as teachers implemented the curriculum revealed that, in spite of having a more fully developed pPCK in teaching engineering, the veteran engineering teacher did not exhibit more sophisticated ePCK than novice engineering teachers. In addition to contributing to the field’s understanding of engineering teachers’ PCK, these findings hold implications for the recruitment, retention, and professional development of engineering teachers. 
    more » « less
  3. The Florida State University (FSU) Computer Science Integrated with Mathematics in Middle Schools (CSIMMS) project explores the feasibility and effectiveness of integrating Computer Science (CS) into middle school general mathematics courses. Through Design Based Research, we developed and tested 13 teaching modules that integrate CS concepts into general middle school mathematics courses, grades 6, 7, and 8, beginning in 2017. In this paper, we discuss our experience with integrating computer science into middle school mathematics and report our preliminary findings. 
    more » « less
  4. Prior evidence suggests that active, student-centered learning environments can positively influence students’ perceptions of STEM career pathways, and that engineering activities can provide motivational contexts for learning math concepts. However, specific benefits to student proficiency in mathematics via engineering design activities are less well established, with some studies pointing to greater student improvement in mathematical practices than content comprehension. Previous studies also note that math standards can be effectively aligned with hands-on activities, but obstacles may include a lack of teacher confidence with engineering concepts and student aversion of math during engineering activities. This paper details an investigation of the prevalence of mathematics in middle school and high school engineering, particularly with regards to a study of thirty popular activities on the virtual library Teach Engineering. Results show that standards-based math content is clearly integrated into most of the reviewed activities, with math tasks comprising about one-third of the total activity time on average. Notably, the math tasks occur almost exclusively during (e.g., measuring) or after (e.g., plotting data) the hands-on phase of each activity; in other words, math was not used to inform design decisions or make predictions. The study suggests that more readily deployable engineering curricula that utilize math at the front-end of activities may be needed for better integration of all STEM disciplines and to more authentically demonstrate the utility of mathematics in the engineering field. 
    more » « less
  5. STEM integration has become a national and international priority, but our understanding of student learning experiences in integrated STEM courses, especially those that integrate life sciences and engineering design, is limited. Our team has designed a new high school curriculum unit that focuses on neural engineering, an emerging interdisciplinary field that brings together neuroscience, technology, and engineering. Through the implementation of the unit in a high school engineering design course, we asked how incorporating life sciences into an engineering course supported student learning and what challenges were experienced by the students and their teacher. To address these questions, we conducted an exploratory case study consisting of a student focus group, an interview with the teacher, and analysis of student journals. Our analysis suggests that students were highly engaged by the authentic and collaborative engineering design process, helping solidify their self-efficacy and interest in engineering design. We also identified some challenges, such as students’ lower interest in life sciences compared to engineering design and the teacher lacking a life sciences background. These preliminary findings suggest that neural engineering can provide an effective context to the integration of life sciences and engineering design but more scaffolding and teacher support is needed for full integration. 
    more » « less