Students explore the motion of molecules and the ways in which they interact.

Il volume rappresenta la tappa finale della prima stagione di implementazione del Progetto ABACUS (giugno 2019 - settembre 2020), sostenuta dal finanziamento pubblico garantito dalla Regione Siciliana e dalla Presidenza del Consiglio dei Ministri. In tal senso, la pubblicazione raccoglie sia una sezione di materiali di discussione critica sul percorso progettuale e sui primi esiti maturati, sia una ricca parte di contributi tematici offerti da referenti istituzionali, studiosi ed esperti, docenti accademici e ricercatori, professionisti e rappresentanti di organismi del Terzo settore Sono state così affrontate ed esaminate differenti tematiche e problematiche socio-culturali e socio-economiche, e prospettive e approcci metodologico-operativi tra loro affini e convergenti, che si sviluppano a cavallo delle politiche sociali, giovanili e culturali, della progettazione sociale e culturale, dell'innovazione sociale e della diversità culturale, in differenti contesti socio-territoriali siciliani e italiani, con una particolare attenzione per quelle iniziative che rappresentano casi paradigmatici in cui le istanze istituzionali, della ricerca, dell'educazione e della formazione si incontrano con le aspettative dei pubblici differenziati e, specialmente, delle giovani generazioni, anche sull'orizzonte della innovazione dell'occupazione giovanile.

This problem is the fifth in a series of seven about ratios. In the first problem students define the simple ratios that exist among the three candidates. It opens an opportunity to introduce unit rates. The subsequent problems are more complex. In the second problem, students apply their understanding of ratios to combine two pools of voters to determine a new ratio. In the third problem, students apply a known ratio to a new, larger pool of voters to determine the number of votes that would be garnered.

This is the sixth problem in a series of seven that use the context of a classroom election. While it still deals with simple ratios and easily managed numbers, the mathematics surrounding the ratios are increasingly complex.

This is the last problem of seven in a series about ratios set in the context of a classroom election. Since the number of voters is not known, the problem is quite abstract and requires a deep understanding of ratios and their relationship to fractions.

This is the first and most basic problem in a series of seven problems, all set in the context of a classroom election. Every problem requires students to understand what ratios are and apply them in a context. The problems build in complexity and can be used to highlight the multiple ways that one can reason about a context involving ratios.

This is the second in a series of tasks that are set in the context of a classroom election. It requires students to understand what ratios are and apply them in a context. The simple version of this question just asked how many votes each gets. This has the extra step of asking for the difference between the votes.

This problem, the third in a series of tasks set in the context of a class election, is more than just a problem of computing the number of votes each person receives. In fact, that isnŐt enough information to solve the problem. One must know how many votes it takes to make one half of the total number of votes. Although the numbers are easy to work with, there are enough steps and enough things to keep track of to lift the problem above routine.

This is the fourth in a series of tasks about ratios set in the context of a classroom election. What makes this problem interesting is that the number of voters is not given. This information isnŐt necessary, but at first glance some students may believe it is.

As the standards in statistics and probability unfold, students will not yet know the rules of probability for compound events. Thus, simulation is used to find an approximate answer to these questions. In fact, part b would be a challenge to students who do know the rules of probability, further illustrating the power of simulation to provide relatively easy approximate answers to wide-ranging problems.

In this example, students are asked to research the effects of Wal-Mart on small town economies, relate those effects to their own town, and draw a conclusion based on those effects.

In this activity, students participate in a series of timed relay races using their skeletal muscles. The compare the movement of skeletal muscle and relate how engineers help astronauts exercise skeletal muscles in space.

After students have complete the associated activity to collect and graph acceleration data from walking human subjects, they learn more about gait analysis---the study of human motion, which is used as biometric data for human medical diagnostics and (non-human) comparative biomechanics. They learn about the steps that comprise the universal process of engineering analysis—data collection, data analysis, mathematical modeling and reporting—and consider how these steps could be applied to analyze a person's gait, which prepares them to conduct the second associated activity.

This activity provides students with a first look at water tension and its role in the life of a water strider.

This activity provides students with a first look at water tension and its role in the life of a water strider.

This task is meant to be a straight-forward assessment task of graph reading and interpreting skills. This task helps reinforce the idea that when a variable represents time, t=0 is chosen as an arbitrary point in time and positive times are interpreted as times that happen after that.

Students observe and discuss a simple model of a wet scrubber to understand how this pollutant recovery method functions in cleaning industrial air pollution.

People use energy in all aspects of their lives for cooking, lighting and entertainment. Much of this energy use takes place in buildings, such as our homes. To save money and reduce the impact on our environment, many people are reducing their energy use. One way is to hire engineers to perform home energy audits to understand the ways we use energy and identify ways we can conserve energy. In this activity, students act as energy conservation engineers and identify the ways energy is conserved or wasted. They also learn many ways to personally conserve energy everyday.

Students use inclined planes as they recreate the difficult task of raising a monolith of rock to build a pyramid. They compare the push and pull of different-sized blocks up an inclined plane, determine the angle of inclination, and learn the changes that happen when the angle is increased or decreased.

This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. It helps students see the purpose of using parentheses.