Dealing with Data in High School Mathematics and Science

The materials are broken up into modules however leadership training is incorporated throughout the entire 9 day course. In addition instructors continually model presentation styles and approaches that will be studied in this course.

Title of Activity Overview and Objectives Math/Science Concepts Review of Teaching Materials Participants should bring with them any teaching materials used for their students. These might include textbooks, activities, NCTM, NSTA, and State Standards.   Day 1 (Summer Institute)     Introduction & Grounding to Classroom Practice Interconnections and interdependence of mathematics and sciences a key theme throughout. Examine initial pedagogical questions including a vignette.   Grandma Ruth This activity demonstrates the relationship between circumference of a person’s fist and the length of the foot. Curve fitting and finding relationships It’s a Dense Matter This activity explores the concepts of density and slope by data collection and physical interpretation of the mathematical model. Rate of Change Ordered pairs Linear relationships Density Data interpretation Experimental Design Measurement Computer-Based Resources Try out some management, productivity, and support resources. Tie philosophy to national and state standards TI-Connect TI Educational Resources from Web NCTM Standards NSTA Standards State Specific Standards Day 1 Debrief Highlight important points of the day and encourage critical reflection on learning and practical issues Question and answer time   Day 2 (Summer Institute)     Achoooo! This activity investigates the logistic model within the context of the biological spreading of an illness. Logistic Growth Mathematical modeling across science disciplines Simulation as a modeling tool Investigating Motion This activity uses the CBR2 to explore the classic rate of change situation: position vs time. It also shares differences of viewpoints about the form of equations, variables used, and meaning of slope coefficients Explore the classic rate of change situation: position vs time. Motion: classic rate of change Equations in mathematics form and physics form Physical meaning of slope Ball Bounce This activity uses the CBR2 to explore kinematics of projectiles and general mathematical modeling involving parabolic functions and damped rebound and exponential decay. Mathematical and physical meanings of derivative Relationships between different plots of d vs t and v vs t Exponential decay as a concept and as related to a physical situation Prediction/hypothesis and testing Introduction to Research on Use of Data Collection Devices Participants discuss the pedagogical implications for the use of data collection devices in the teaching and learning of mathematics and science via an article that summarizes research on this type of technology (Lapp & Cyrus, 2000)   Day 2 Debrief Highlight important points of the day and encourage critical reflection on learning and practical issues Question and answer time   Day 3 (Summer Institute)     EasyTemp Probe This activity introduces the participant to the EasyTemp probe for the TI-84 Plus. This probe allows the student to set up various data collection experiments for temperature without the need for the CBL2 interface. Rate of Change as a Theme: temperature vs time Hey! Newton's Cool This is an introductory exercise that helps students visualize the properties of heating and cooling liquids while beginning to understand the concept of exponential decay. Heat Transfer Exponential decay A Tale of Two Temperatures Students discover the relationship between Fahrenheit and Celsius temperature. Linear relationships Unit Conversion Inverse function Purging the Pool Plunge This activity teaches students how depth and pressure are related. Relationship between depth and pressure Linear functions Inverse functions Sensor and Material Display Display and briefly describe the variety of sensors and materials that are available for explorations.   Explorations A variety of materials are available Allow participants to explore their own needs, ask their own questions, find their own answers with appropriate help, stretch their limits.   Day 3 Debrief Highlight important points of the day and encourage critical reflection on learning and practical issues Question and answer time   Day 4 (Summer Institute)     Presentation of Results Participants present results from experiments conducted during the first three days of the institute. Share mathematical and scientific observations along with pedagogical implications. Being Dense About Density: A Classroom Vignette Participants discuss issues surrounding technology implementation and education reform within the context of a classroom vignette about density, modeling, and graphical representations.   Charge It In this activity students collect voltage data from a discharging capacitor using the CBL2 data collection system and a voltage sensor. The capacitor will be connected to another circuit element called a resistor, which is used to control the rate at which the capacitor discharges. The voltage data you collect will be used to develop an exponential model. Voltage Exponential Models Light to Dark In this activity, students use a light sensor and a CBL2 to explore exponential decay and light transmission and absorption using a light intensity sensor and transparencies to simulate light transmission in water. Light transmission and absorption Exponential decay and its meaning Computer-based Resources Participants use TI-Interactive to explore data analysis on the web. Analysis of data Day 4 Debrief Highlight important points of the day and encourage critical reflection on learning and practical issues Question and answer time   Day 5 (Summer Institute)     Exploring pH Participants use a CBL2 and pH sensor to explore concepts from chemistry. pH in science and as a logarithmic value in mathematics Titration and mathematical models of titration curve Look at more difficult mathematical modeling and the meaning of this in science and mathematics Ways of Knowing: Statistics and Dealing with Error This activity examines issues surrounding error and accuracy of measurement. Dealing with error and precision of measurements in math and science Preparation for follow-up assignments Participants begin to work on assignments that will be due at the first follow-up meeting.   Day 6 (First Day of the First Follow-up Session)     Tic-Toc In this activity participants explore mathematical models for basic periodic motion. Periodic motion Mathematical modeling Function transformation Pedagogical Discussion Participants discuss issues surrounding technology implementation and education reform within the context of a classroom vignette and examination of student work.   Spring into Action Participants explore damped harmonic motion of an oscillating spring by combining a periodic and exponential model in the curve fitting of data. Another sensor set-up with a more complicated analysis involving the combination of two different mathematical models. Preparation for Final Follow-up Participants begin discussion of ideas for their final presentations that will take place during the last follow-up session. They work in groups to discuss ideas, but the final presentations will be their own individual work.   Day 7 (Second Day of the First Follow-up Session)     Under Pressure: Boyle’s Law Students use power regression to model inverse variation as it relates to pressure and volume Inverse variation Relationship between volume and pressure Preparation for Final Presentations Participants use the remaining time to work on and get advice for the final presentation they will give on Days 8 and 9   Day 8 (First Day of the Second Follow-up Session)     Participant Presentations     Day 9 (Second Day of the Second Follow-up Session)     Participant Presentations