Engineering based problem solving in the middle school : design and construction with simple machines

Incorporating engineering concepts into middle school curriculum is seen as an effective way to improve students’ problem-solving skills. A selection of findings is reported from a science, technology, engineering and mathematics (STEM)-based unit in which students in the second year (grade 8) of a three-year longitudinal study explored engineering concepts and principles pertaining to the functioning of simple machines. The culminating activity, the focus of this paper, required the students to design, construct, test, and evaluate a trebuchet catapult. We consider findings from one of the schools, a co-educational school, where we traced the design process developments of four student groups from two classes. The students’ descriptions and explanations of the simple machines used in their catapult design are examined, together with how they rated various aspects of their engineering designs. Included in the findings are students’ understanding of how their simple machines were simulated by the resources supplied and how the machines interacted in forming a complex machine. An ability to link physical materials with abstract concepts and an awareness of design constraints on their constructions were apparent, although a desire to create a ‘‘perfect’’ catapult despite limitations in the physical materials rather than a prototype for testing concepts was evident. Feedback from teacher interviews added further insights into the students’ developments as well as the teachers’ professional learning. An evolving framework for introducing engineering education in the pre-secondary years is proposed.

A Vision-Based Micro-Newton Static Force Sensor Using a Displacement-Amplifying Compliant Mechanism (DaCM)

A micro-newton static force sensor is presented here as a packaged product. The sensor, which is based on the mechanics of deformable objects, consists of a compliant mechanism that amplifies the displacement caused by the force that is to be measured. The output displacement, captured using a digital microscope and analyzed using image processing techniques, is used to calculate the force using precalibrated force-displacement curve. Images are scanned in real time at a frequency of 15 frames per second and sampled at around half the scanning frequency. The sensor was built, packaged, calibrated, and tested. It has simulated and measured stiffness values of 2.60N/m and 2.57N/m, respectively. The smallest force it can reliably measure in the presence of noise is about 2 mu N over a range of 1.4mN. The off-the-shelf digital microscope aside, all of its other components are purely mechanical; they are inexpensive and can be easily made using simple machines. Another highlight of the sensor is that its movable and delicate components are easily replaceable. The sensor can be used in aqueous environment as it does not use electric, magnetic, thermal, or any other fields. Currently, it can only measure static forces or forces that vary at less than 1Hz because its response time and bandwidth are limited by the speed of imaging with a camera. With a universal serial bus (USB) connection of its digital microscope, custom-developed graphical user interface (GUI), and related software, the sensor is fully developed as a readily usable product.

Wheels and axles.

Las máquinas ofrecen la ventaja mecánica de que permiten utilizar menos fuerza para hacer la misma cantidad de trabajo. El objetivo de este recurso es llamar la atención de los alumnos de primaria de la importancia que tienen los objetos que nos rodean en los principios de la física básica y animarlos a explorar su entorno en busca de estos principios. Introduce a los más jóvenes, de una forma sencilla y clara, en el conocimiento de las máquinas simples proporcionando información básica sobre las ruedas y los ejes describiendo los diferentes tipos, usos, beneficios y la forma en cómo las utilizamos en nuestra vida cotidiana. Tiene glosario.

Wedges and ramps.

Las máquinas ofrecen la ventaja mecánica de que permiten utilizar menos fuerza para hacer la misma cantidad de trabajo. El objetivo de este recurso es llamar la atención de los alumnos de primaria de la importancia que tienen los objetos que nos rodean en los principios de la física básica y animarlos a explorar su entorno en busca de estos principios. Introduce a los estudiantes, de una forma sencilla y clara, en la ciencia y la tecnología de las cuñas y rampas como máquinas simples. Explica lo que estas máquinas simples hacen y por qué son tan útiles en nuestra vida diaria. Entre los ejemplos más conocidos de cuñas están las uñas, agujas de coser, tijeras, palillos de dientes, el hacha, y los diferentes tipos de cinceles. Incluso la cremallera es una cuña.

Screws.

El objetivo de este recurso es llamar la atención de la importancia que tienen los objetos que nos rodean en los principios de la física básica y animar a explorar el entorno en busca de estos principios. Se ofrece a los alumnos de primaria una introducción breve y clara de los tornillos: lo que son, sus partes, cómo funcionan y cómo las usamos para aplicar las fuerzas. Contiene ejemplos conocidos de aplicaciones en el mundo que nos rodea, así como las ocultas en los objetos cotidianos. Las palabras nuevas de vocabulario se definen en un glosario.

Levers.

El objetivo de este recurso es llamar la atención de la importancia que tienen los objetos que nos rodean en los principios de la física básica y animar a explorar el entorno en busca de estos principios. Se ofrece a los alumnos de primaria una introducción breve y clara de las palancas: lo que son, sus partes, cómo funcionan y cómo las usamos para elevar objetos pesados. Contiene ejemplos conocidos de aplicaciones en el mundo que nos rodea, así como las ocultas en los objetos cotidianos. Las palabras nuevas de vocabulario se definen en un glosario.

Wheels.

El objetivo de este recurso es llamar la atención de la importancia que tienen los objetos que nos rodean en los principios de la física básica y animar a explorar el entorno en busca de estos principios. Se ofrece a los alumnos de primaria una introducción breve y clara de las ruedas: lo que son, sus partes, cómo funcionan y cómo las usamos para aplicar las fuerzas. Contiene ejemplos conocidos de aplicaciones en el mundo que nos rodea, así como las ocultas en los objetos cotidianos. Las palabras nuevas de vocabulario se definen en un glosario.

Pulleys.

El objetivo de este recurso es llamar la atención de la importancia que tienen los objetos que nos rodean en los principios de la física básica y animar a explorar el entorno en busca de estos principios. Se ofrece a los alumnos de primaria una introducción breve y clara de las poleas: lo que son, sus partes, cómo funcionan y cómo las usamos para aplicar las fuerzas. Contiene ejemplos conocidos de aplicaciones en el mundo que nos rodea, así como las ocultas en los objetos cotidianos. Las palabras nuevas de vocabulario se definen en un glosario.

Estudo de sistemas com dinâmica pouco suave: brinquedos envolvendo este tipo de modelo

This work aims to study the movement periodically interrupted realized by four handmade toys. Such movement can be studied by nonlinear dynamics, but this topic is not covered in the general undergraduate courses in Physics. The study presented aim to observe, search, identify and measure physical quantities characteristic of toys according to the information provided by the dynamic, in this case, the formalism of moment of forces and energy. It also allows an approach to non-formal education in physics, since the measures and instruments differ from formal laboratory approach. These toys are unknown examples of simple machines studied in Mechanics and allow to illustrate passive walkers in Robotics

Broad Concerns about Nanotechnology Patents: Symptoms and Diagnosis

We discuss the concerns that the patenting activity in the new nanotechnologies could blur the line between what is considered a discovery and what can be considered as an invention. We find that the nature of nanotechnology products, research, and the development agendas in science and engineering fields that include biomimetics pose a challenge to the present practice of including chemicals as eligible patent subject matter. After revisiting the historical development of patent law and noting its divergence from the developments in science and technology, we introduce the distinction between simple and complex machines as these relate to chemistry and nanotechnology. This distinction poses the question of what is the logical category of inventions that fall within patentable subject matter given that patent law was conceived to cover simple machines, not complex ones.

Cases and practical remarks in surgery, with sketches of machines, simple in their construction, easy in their application, and of approved use ... /

Mode of access: Internet.

Minimization of Incompletely Specified Sequential Machines

A simple yet efficient method for the minimization of incompletely specified sequential machines (ISSMs) is proposed. Precise theorems are developed, as a consequence of which several compatibles can be deleted from consideration at the very first stage in the search for a minimal closed cover. Thus, the computational work is significantly reduced. Initial cardinality of the minimal closed cover is further reduced by a consideration of the maximal compatibles (MC's) only; as a result the method converges to the solution faster than the existing procedures. "Rank" of a compatible is defined. It is shown that ordering the compatibles, in accordance with their rank, reduces the number of comparisons to be made in the search for exclusion of compatibles. The new method is simple, systematic, and programmable. It does not involve any heuristics or intuitive procedures. For small- and medium-sized machines, it canle used for hand computation as well. For one of the illustrative examples used in this paper, 30 out of 40 compatibles can be ignored in accordance with the proposed rules and the remaining 10 compatibles only need be considered for obtaining a minimal solution.

State Minimization of Incompletely Specified Sequential Machines

A simple procedure for the state minimization of an incompletely specified sequential machine whose number of internal states is not very large is presented. It introduces the concept of a compatibility graph from which the set of maximal compatibles of the machine can be very conveniently derived. Primary and secondary implication trees associated with each maximal compatible are then constructed. The minimal state machine covering the incompletely specified machine is then obtained from these implication trees.

A Simple Label Switching Algorithm for Semisupervised Structural SVMs

In structured output learning, obtaining labeled data for real-world applications is usually costly, while unlabeled examples are available in abundance. Semisupervised structured classification deals with a small number of labeled examples and a large number of unlabeled structured data. In this work, we consider semisupervised structural support vector machines with domain constraints. The optimization problem, which in general is not convex, contains the loss terms associated with the labeled and unlabeled examples, along with the domain constraints. We propose a simple optimization approach that alternates between solving a supervised learning problem and a constraint matching problem. Solving the constraint matching problem is difficult for structured prediction, and we propose an efficient and effective label switching method to solve it. The alternating optimization is carried out within a deterministic annealing framework, which helps in effective constraint matching and avoiding poor local minima, which are not very useful. The algorithm is simple and easy to implement. Further, it is suitable for any structured output learning problem where exact inference is available. Experiments on benchmark sequence labeling data sets and a natural language parsing data set show that the proposed approach, though simple, achieves comparable generalization performance.

Synthetic molecular machines for active self-assembly : prototype algorithms, designs, and experimental study

Computer science and electrical engineering have been the great success story of the twentieth century. The neat modularity and mapping of a language onto circuits has led to robots on Mars, desktop computers and smartphones. But these devices are not yet able to do some of the things that life takes for granted: repair a scratch, reproduce, regenerate, or grow exponentially fast–all while remaining functional.

This thesis explores and develops algorithms, molecular implementations, and theoretical proofs in the context of “active self-assembly” of molecular systems. The long-term vision of active self-assembly is the theoretical and physical implementation of materials that are composed of reconfigurable units with the programmability and adaptability of biology’s numerous molecular machines. En route to this goal, we must first find a way to overcome the memory limitations of molecular systems, and to discover the limits of complexity that can be achieved with individual molecules.

One of the main thrusts in molecular programming is to use computer science as a tool for figuring out what can be achieved. While molecular systems that are Turing-complete have been demonstrated [Winfree, 1996], these systems still cannot achieve some of the feats biology has achieved.

One might think that because a system is Turing-complete, capable of computing “anything,” that it can do any arbitrary task. But while it can simulate any digital computational problem, there are many behaviors that are not “computations” in a classical sense, and cannot be directly implemented. Examples include exponential growth and molecular motion relative to a surface.

Passive self-assembly systems cannot implement these behaviors because (a) molecular motion relative to a surface requires a source of fuel that is external to the system, and (b) passive systems are too slow to assemble exponentially-fast-growing structures. We call these behaviors “energetically incomplete” programmable behaviors. This class of behaviors includes any behavior where a passive physical system simply does not have enough physical energy to perform the specified tasks in the requisite amount of time.

As we will demonstrate and prove, a sufficiently expressive implementation of an “active” molecular self-assembly approach can achieve these behaviors. Using an external source of fuel solves part of the the problem, so the system is not “energetically incomplete.” But the programmable system also needs to have sufficient expressive power to achieve the specified behaviors. Perhaps surprisingly, some of these systems do not even require Turing completeness to be sufficiently expressive.

Building on a large variety of work by other scientists in the fields of DNA nanotechnology, chemistry and reconfigurable robotics, this thesis introduces several research contributions in the context of active self-assembly.

We show that simple primitives such as insertion and deletion are able to generate complex and interesting results such as the growth of a linear polymer in logarithmic time and the ability of a linear polymer to treadmill. To this end we developed a formal model for active-self assembly that is directly implementable with DNA molecules. We show that this model is computationally equivalent to a machine capable of producing strings that are stronger than regular languages and, at most, as strong as context-free grammars. This is a great advance in the theory of active self- assembly as prior models were either entirely theoretical or only implementable in the context of macro-scale robotics.

We developed a chain reaction method for the autonomous exponential growth of a linear DNA polymer. Our method is based on the insertion of molecules into the assembly, which generates two new insertion sites for every initial one employed. The building of a line in logarithmic time is a first step toward building a shape in logarithmic time. We demonstrate the first construction of a synthetic linear polymer that grows exponentially fast via insertion. We show that monomer molecules are converted into the polymer in logarithmic time via spectrofluorimetry and gel electrophoresis experiments. We also demonstrate the division of these polymers via the addition of a single DNA complex that competes with the insertion mechanism. This shows the growth of a population of polymers in logarithmic time. We characterize the DNA insertion mechanism that we utilize in Chapter 4. We experimentally demonstrate that we can control the kinetics of this re- action over at least seven orders of magnitude, by programming the sequences of DNA that initiate the reaction.

In addition, we review co-authored work on programming molecular robots using prescriptive landscapes of DNA origami; this was the first microscopic demonstration of programming a molec- ular robot to walk on a 2-dimensional surface. We developed a snapshot method for imaging these random walking molecular robots and a CAPTCHA-like analysis method for difficult-to-interpret imaging data.