Students act as R&D entrepreneurs, learning ways to research variables affecting the …
Students act as R&D entrepreneurs, learning ways to research variables affecting the market of their proposed (hypothetical) products. They learn how to obtain numeric data using a variety of Internet tools and resources, sort and analyze the data using Excel and other software, and discover patterns and relationships that influence and guide decisions related to launching their products. First, student pairs research and collect pertinent consumer data, importing the data into spreadsheets. Then they clean, organize, chart and analyze the data to inform their product production and marketing plans. They calculate related statistics and gain proficiency in obtaining and finding relationships between variables, which is important in the work of engineers as well as for general technical literacy and decision-making. They summarize their work by suggesting product launch strategies and reporting their findings and conclusions in class presentations. A finding data tips handout, project/presentation grading rubric and alternative self-guided activity worksheet are provided. This activity is ideal for a high school statistics class.
The purpose of this task is for students to interpret two distance-time …
The purpose of this task is for students to interpret two distance-time graphs in terms of the context of a bicycle race. There are two major mathematical aspects to this: interpreting what a particular point on the graph means in terms of the context, and understanding that the "steepness" of the graph tells us something about how fast the bicyclists are moving.
Students act as if they are biological engineers following the steps of …
Students act as if they are biological engineers following the steps of the engineering design process to design and create protein models to replace the defective proteins in a child’s body. Jumping off from a basic understanding of DNA and its transcription and translation processes, students learn about the many different proteins types and what happens if protein mutations occur. Then they focus on structural, transport and defense proteins during three challenges posed by the R&D; bio-engineering hypothetical scenario. Using common classroom supplies such as paper, tape and craft sticks, student pairs design, sketch, build, test and improve their own protein models to meet specific functional requirements: to strengthen bones (collagen), to capture oxygen molecules (hemoglobin) and to capture bacteria (antibody). By designing and testing physical models to accomplish certain functional requirements, students come to understand the relationship between protein structure and function. They graph and analyze the class data, then share and compare results across all teams to determine which models were the most successful. Includes a quiz, three worksheets and a reference sheet.
Students learn how to manipulate the behavior of water by using biochar—a …
Students learn how to manipulate the behavior of water by using biochar—a soil amendment used to improve soil functions. As a fluid, water interacts with soil in a variety of ways. It may drain though a soil’s non-solid states, or its “pores”; lay above the soil; or move across cell membranes via osmosis. In this experiment, students solve the specific problem of standing water by researching, designing, and engineering solutions that enable water to drain faster. This activity is designed for students to explore how biochar helps soils to act as “sponges” in order to retain more water.
This course covers sensing and measurement for quantitative molecular/cell/tissue analysis, in terms …
This course covers sensing and measurement for quantitative molecular/cell/tissue analysis, in terms of genetic, biochemical, and biophysical properties. Methods include light and fluorescence microscopies; electro-mechanical probes such as atomic force microscopy, laser and magnetic traps, and MEMS devices; and the application of statistics, probability and noise analysis to experimental data.
This task asks students to glean contextual information about bird eggs from …
This task asks students to glean contextual information about bird eggs from a collection of measurements of said eggs organized in a scatter plot. In particular, students are asked to identify a correlation and use it to make interpolative predictions, and reason about the properties of specific eggs via the graphical presentation of the data.
Describe a bivariate relationship's linearity, strength, and direction. In other words, plotting …
Describe a bivariate relationship's linearity, strength, and direction. In other words, plotting things that take two variables into consideration and trying to see whether there's a pattern with how they relate.
BLOSSOMS stands for Blended Learning Science or Math Studies. It is a …
BLOSSOMS stands for Blended Learning Science or Math Studies. It is a project sponsored by MIT LINC (Learning International Networks Consortium) a consortium of educators from around the world who are interested in using distance and e-Learning technologies to help their respective countries increase access to quality education for a larger percentage of the population.BLOSSOMS Online
In this task, output is given from a computer-generated simulation, generating size-100 …
In this task, output is given from a computer-generated simulation, generating size-100 samples of data from an assumed school population of 2000 students under hypotheses about the true distribution of yes/no voters.
The purpose of this task is to assess a student's ability to …
The purpose of this task is to assess a student's ability to compute and interpret an expected value. Notice that interpreting expected value requires thinking in terms of a long-run average.
Students learn how engineers gather data and model motion using vectors. They …
Students learn how engineers gather data and model motion using vectors. They learn about using motion-tracking tools to observe, record, and analyze vectors associated with the motion of their own bodies. They do this qualitatively and quantitatively by analyzing several examples of their own body motion. As a final presentation, student teams act as engineering consultants and propose the use of (free) ARK Mirror technology to help sports teams evaluate body mechanics. A pre/post quiz is provided.
This book will initiate you into an esoteric world. You will learn …
This book will initiate you into an esoteric world. You will learn and apply the methods of thought that mathematicians use to verify theorems, explore mathematical truth and create new mathematical theories. This will prepare you for advanced mathematics courses, for you will be better able to understand proofs, write your own proofs and think critically and inquisitively about mathematics.
Students find the volume and surface area of a rectangular box (e.g., …
Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box from the original box material, students discover that the cubical box has less surface area than the original, and thus, a cube is a more efficient way to package things. Students then consider why consumer goods generally aren't packaged in cube-shaped boxes, even though they would require less material to produce and ultimately, less waste to discard. To display their findings, each student designs and constructs a mobile that contains a duplicate of his or her original box, the new cube-shaped box of the same volume, the scraps that are left over from the original box, and pertinent calculations of the volumes and surface areas involved. The activities involved provide valuable experience in problem solving with spatial-visual relationships.
To display the results from the previous activity, each student designs and …
To display the results from the previous activity, each student designs and constructs a mobile that contains a duplicate of his or her original box, the new cube-shaped box of the same volume, the scraps that are left over from the original box, and pertinent calculations of the volumes and surface areas involved. They problem solve and apply their understanding of see-saws and lever systems to create balanced mobiles.
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