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The impact of modeling-eliciting activities on high school student design performance

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International Journal of Technology and Design Education
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Modeling allows students to become more effective designers. High school technology and engineering students engage in engineering design challenges as part of traditional instructional practices. Model-eliciting activities (MEA) present students with opportunities to elicit mathematical thinking that facilitates modeling. Students (n = 266) from four high schools completed a MEA and design challenge procedure. The research design utilized a quasi-experimental method, post-test only, with homogenous matching comparison groups based on possible confounding variables. A rubric was used to measure student design performance. Students in the comparison group (n = 124) completed a traditional design challenge and were assessed on their design performance. Students in the treatment group (n = 142) completed a MEA, a traditional design challenge and were assessed on their design performance. An analysis of covariance (ANCOVA) was used in order to discover if the difference in average design challenge rubric score from comparison group (42.56) to the treatment group (45.18) was statistically significant. A one-way multiple analysis of covariance (MANCOVA) was used to indicate if the differences in student average scores in each rubric category were significant. The ANCOVA did not reveal evidence supporting the research question with regard to overall design performance. The Pillai’s Trace MANCOVA test results were significant. Four design rubric categories were found to be significantly different: Criteria, Proposal, Test/Evaluate, and Communicate. The findings in this study suggest that MEAs significantly support design-based classroom activities. While overall student design performance was reported to show no significant increase, aspects of design displayed significant improvement. Technology and engineering teachers should examine MEAs as potential curriculum enhancements in their design-based classrooms.
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Vol.:(0123456789)
International Journal of Technology and Design Education (2021) 31:255–280
https://doi.org/10.1007/s10798-019-09557-x
1 3
The impact ofmodeling‑eliciting activities onhigh school
student design performance
TannerJ.Human1 · NathanMentzer2
Accepted: 2 December 2019 / Published online: 11 December 2019
© Springer Nature B.V. 2019
Abstract
Modeling allows students to become more effective designers. High school technology and
engineering students engage in engineering design challenges as part of traditional instruc-
tional practices. Model-eliciting activities (MEA) present students with opportunities to
elicit mathematical thinking that facilitates modeling. Students (n = 266) from four high
schools completed a MEA and design challenge procedure. The research design utilized a
quasi-experimental method, post-test only, with homogenous matching comparison groups
based on possible confounding variables. A rubric was used to measure student design
performance. Students in the comparison group (n = 124) completed a traditional design
challenge and were assessed on their design performance. Students in the treatment group
(n = 142) completed a MEA, a traditional design challenge and were assessed on their
design performance. An analysis of covariance (ANCOVA) was used in order to discover
if the difference in average design challenge rubric score from comparison group (42.56)
to the treatment group (45.18) was statistically significant. A one-way multiple analysis of
covariance (MANCOVA) was used to indicate if the differences in student average scores
in each rubric category were significant. The ANCOVA did not reveal evidence supporting
the research question with regard to overall design performance. The Pillai’s Trace MAN-
COVA test results were significant. Four design rubric categories were found to be signifi-
cantly different: Criteria, Proposal, Test/Evaluate, and Communicate. The findings in this
study suggest that MEAs significantly support design-based classroom activities. While
overall student design performance was reported to show no significant increase, aspects
of design displayed significant improvement. Technology and engineering teachers should
examine MEAs as potential curriculum enhancements in their design-based classrooms.
Keywords Modeling· Design· Engineering education· Technology education· STEM
education
* Tanner J. Huffman
huffmant@tcnj.edu
1 Integrative STEM Education, The College ofNew Jersey, Ewing, NJ, USA
2 Technology Leadership andInnovation andCurriculum andInstruction, Purdue University,
WestLafayette, IN, USA
Content courtesy of Springer Nature, terms of use apply. Rights reserved.
... First, Objective 1 focuses on establishing agreed upon key concepts and sub-concepts for engineering learning (knowledge and practice) within the grade bands of early learning, elementary, and middle school. This will include conducting three modified Delphi studies with a panel of experts in early learning (P-2), elementary (3)(4)(5), and middle school (6)(7)(8) to answer Research Question 1 (what engineering learning is most appropriate within the grade bands of early childhood, elementary, and middle school?). The results of these studies will then be used to inform Objective 2 which focuses on determining Engineering Literacy Expectations that will provide benchmarks in each grade band towards the goal of engineering literacy as defined by the Framework for P-12 Engineering Learning. ...
... REPS is a three-year collaboration between The College of New Jersey, Purdue University, and the American Society of Engineering Education. As a Research initiative, REPS will investigate what types of engineering learning are most appropriate for early learning (P-2) experiences, elementary (3)(4)(5), and middle school (6)(7)(8) students (what we wish to learn) in alignment with the high school expectations set forth in the Framework for P-12 Engineering Learning (the theoretical basis that will allow necessary insights) through a DBiR methodology (how the knowledge will be discovered). Accordingly, the proposed project will engage teachers, administrators, researchers, professional engineers, engineering educators, and P-8 engineering education experts in the broader P-12 engineering education community to articulate the expectations for engineering learning for P-8 students that is authentic to engineering as a discipline. ...
... Grade-band specific implementation guides that detail the engineering learning most appropriate for early learning (P-2) experiences, elementary (3)(4)(5), and middle school (6)(7)(8) • Use the taxonomy to draft the Engineering Literacy ...
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The REPS project seeks to investigate how to best implement engineering learning as defined by the Framework for P-12 Engineering Learning. As put forth in the framework, “associated grade-band specific implementation guides will leverage the content of this report to describe and propose appropriate engineering learning across the grades for all children to engage in rigorous and authentic learning experiences to think, act, and learn like an engineer". The Framework set the conceptual organization for P-12 engineering learning and provided preliminary Engineering Literacy Expectations and Engineering Performance Matrices for high school learners. Leveraging this roadmap provided in the Framework, REPS completes the vision by adding the Preschool (P)-Grade 8 components. The REPS project engages the broader P-12 engineering education community in articulating expectations for engineering learning for early learning, elementary, and middle school students to serve as the connecting elements necessary for authentic engineering learning efforts across the grades. The REPS project brings to bear the combined expertise of educators, professional engineers, and researchers in the field of engineering education to refine and complete a consensus on the nature of engineering literacy development for all students from preschool through high school.
... Nowday, learning mathematics using only word problem is not a matter of mathematical modeling. Mathematical modeling also is approved as an suitable instructional strategy to the STEM education and can use to attain various student-learning achievement [26]. Mathematical modeling also is very important the strategy of students come to follow real-world that are unfamiliar with students. ...
... Based on Huffman [26] state that mathematical modeling is the most of the interesting topics in mathematics education that has been studied and disseminated more extremely as long as the last decades. This show that mathematical modeling are good and interesting topic to use in mathematical learning. ...
... This show that mathematical modeling are good and interesting topic to use in mathematical learning. According to Huffman [26] state that in a mathematical modeling situation, pure mathematics miss some of its power. This is relevant with this research that students in SD IT Bina Insani Kayuagung very interesting modeling task but they cannot solve the task because modeling task is new for them. ...
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This study aimed to obtain modeling task to learning mathematics on Elementary School using growth of population context. It used method of development research which consists of three stage, i.e. firstly analysis, secondly design, and lastly evaluation. On the step of analysis, i.e. firstly analysis of student, secondly analysis of curriculum and lastly analysis of mathematical modeling were conducted. On the step of design and product of mathematical modeling tasks were implemented (Hypothetical Learning Trajectory). Then the last stage utilized a evaluation of formative design, i.e., firstly, self-evaluation, secondly, one-to-one, thirdly, expert review, fourthly, small group, and lastly, field tests. The criteria of success of this research were produce local instruction theory of mathematical modeling tasks for elementary school which was valid and practical for learning mathematics. The subjects in this study were three students of SDIT Bina Insani of Ogan Komering Ilir. Data were collected and analyzed utilizing method of analysis of descriptive, i.e., firstly, walkthrough by Experts. They comment on the prototype in term of content and competencies of students. Then, secondly, analyze student's solution and comment on one-to-one and small group activities to get practicality; and lastly, explaining student's solution and comment on the field test to get potential effect. Based on the validation, practicality evaluation, and try-out, We conclude that the designed mathematical modeling task using growth of population context for mathematical learning in elementary school was valid, practical and useful.
... The model is a mathematical description of genuine situations that are rooted within specific systems of practice, and the modeling is the representation of the process that requires numerous testing and revision cycles [42]. The MEA framework has been used in engineering classrooms to design engineering tasks at the K-12 level [43] and university level [44], [45] as the framework supports various engineering practices and problem-solving practices [46]. ...
... As reported by Huffman and Mentzer [45], the structure of the framework enables course activities to further students' understanding of the use of mathematical concepts necessary for testing and optimization in engineering problems. Furthermore, Huffman and Mentzer [43] assert that the practice cycle of testing, evaluating, and revising contained in the framework can aid students in attending to the testing and evaluation procedures essential in engineering problems. The use of the framework to create engineering problems or revise existing online engineering problems has the potential to leverage the natural connections between engineering and mathematics analysis and modeling. ...
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This mixed-methods study focused on advanced student engagement, mathematics competence, and the influence of teachers in classrooms that used 3D printing to teach mathematics. Quantitative methods were used to understand changes in student perceptions of competence, engagement, and feelings regarding group work. Qualitative methods were used to explore teacher self-efficacy in teaching using Prototype Problem Solving and 3D modeling. The results indicated positive changes in student disengagement. It also highlighted the influence of teachers in implementing new pedagogy in the classroom as significant differences were found between groups of students based on school. The teacher participants indicated that in addition to learning how to use 3D modeling and printing in their classrooms, using Prototype Problem Solving Activities and the professional development that they received in this program inspired them to provide more creative opportunities when teaching mathematics in a heterogeneous classroom.
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This is a new report from the National Academies of Sciences, Engineering and Medicine edited by Brett Moulding, Nancy Songer, and Kerry Brenner. The report discusses empirical foundations, conclusions and recommendations focused on the idea that centering science instruction around investigation and design can improve instruction in middle and high schools and help students learn to make sense of phenomena in the world around them. As current approaches constrain the opportunities afforded to students, changes to instructional approaches will require significant and sustained work by teachers, administrators, and policy makers. The report is also available by free pdf at https://www.nap.edu/catalog/25216/science-and-engineering-for-grades-6-12-investigation-and-design
Chapter
In Science and the Modern World (1925), philosopher Alfred North Whitehead identified “the invention of invention” as the greatest invention of the late nineteenth century. Invention ceased to be an accidental or rare event and became a methodologically pursued and economically promoted process. In American Genesis (1989), historian Thomas P. Hughes even went so far as to compare the achievements of such inventors as Thomas Edison and Henry Ford to those of Renaissance artists. During the late twentieth century something similar happened with technological design, a human activity much more directly related to the Renaissance. According to the lead story in an early twenty-first-century issue of Business Week: When people talked about innovation in the ‘90s, they invariably meant technology. When people speak about innovation today, it is more than likely they mean design. Consumers, who are choking on choice, look at design as the new differentiator. In a sea of look-alike products and services, design creates the “Wow!” factor. Managers, facing fierce global competition, look to design for the kind of innovation that generates organic growth, new revenues, and wider profit margins. (Nussbaum, 2005: 62)
Chapter
I am making a bookcase from wooden planks. Each shelf has to be cut to the right length. Marking the distance along the plank with a tape measure, I use a pencil and set-square to draw a straight line across it. After these preliminaries, I set the plank on a trestle, lift my left leg, and kneel with as much of my weight as I can upon it, while keeping my balance on the ground with my right foot. The line to be cut slightly overhangs the right end of the trestle. Then, stooping, I place the palm of my left hand on the plank just to the left of the line, grasping it around the edge by the fingers. Taking up a saw with my right hand, I wrap my fingers around the handle—all, that is, except the index finger, which is extended along the flat of the handle, enabling me to fine-tune the direction of the blade.
Chapter
A few years ago, I was talking about an examination entry by a sixteen-year-old pupil with his teacher. The pupil had designed and made a “panic alarm” in case he was attacked late at night. In a technical sense it was very well done indeed with proper consideration of the alarm’s weight, power supply, loudness, ease of action, and so on. If anyone had attacked that boy, everyone would have heard about it. I asked his teacher whether the pupil had considered the issue of why such an alarm was needed in his neighborhood. The teacher looked puzzled by the question as he obviously thought it irrelevant; why such a panic alarm was needed (in terms of the wider values exhibited by those in the pupil’s locality) was not part of the examination-marking scheme. However, I wondered if this alarm was the best solution to the problem he faced. Here was the dilemma. His school technology-examination regime did not give any credit for considering the values that impacted on the problem. However, by not considering why he was afraid at night due to few late-night buses or limited and poor street-lighting, his solution was, in some senses restricted. Maybe the sixteen-year-old could not do much himself about the wider context of supplying maybe free buses or better street-lighting. However, the well-crafted and technically sound panic alarm provided only a partial solution to the youth’s problem, as it certainly did not reduce his fear. In some ways, the merely “technical” solution increased it.
Chapter
The difference between the mathematical mind (esprit de geometrie) and the perceptive mind (ēsprit de finesse): the reason that mathematicians are not perceptive is that they do not see what is before them, and that, accustomed to the exact and plain principles of mathematics, and not reasoning till they have well inspected and arranged the principles, they are lost in matters of perception where the principles do not allow for such arrangement … These principles are so fine and so numerous that a very delicate and very clear sense is needed to perceive them, and to judge rightly and justly when they are perceived, without for the most part being able to demonstrate them in order as in mathematics; because it would be an endless matter to undertake it. We must see the matter at once, at one glance, and not by process of reasoning, at least to a certain degree … Mathematicians wish to treat matters of perception mathematically, and make themselves ridiculous … the mind … does it tacitly, naturally, and without technical rules. (Pascal in Dreyfus, 1660/1979)