A UNIT FOR STATISTICAL ANALYSIS AND DISPLAY

**UNIT GOALS:** Pre-Service teachers will explore and gain a deeper understanding of the statistical concepts of central tendencies, data displays and dispersion. The math content will be linked with environmental data to enhance the students’ understanding of the interrelationships of mathematics and science. They will realize the versatility of several manipulatives, spreadsheets, graphing calculators, and interactive software.

** GRADE LEVEL: ** 13-15, (Mathematics for Pre-service Teachers); procedures are easily adapted for pre-algebra

** GENERAL SUBJECT AREA(S):**

- Mathematics
- Science

**CONCEPTS LEARNED ACROSS ALL UNIT MODULES:**

- Statistical measures of central tendency and dispersion
- Use of spreadsheets
- Estimation skills
- Displays of environmental data

**Praxis(0016):**__Curriculum components__- Appropriate materials and technology__Problem solving__- Investigate and understand content
- Formulate problems for everyday situations
- Verify and interpret results
- Build student confidence
- Solve problems that are developmentally appropriate
__Probability and Statistics__- Counting
- Organizing
- Representing
- Interpreting data
__Hand-held calculators and computers__- Spreadsheet and computer based interactive tools used in problem solving and concept development__Classroom management and motivation__- Problem solving
- Experimentation
- Small group instruction
- Whole group construction
- Efficient instruction

__Analysis of students’ work__- Use of rubrics__Use of manipulatives and developmentally appropriate materials____Content-specific pedagogy__- Theories necessary for implementing sound representations of numeric and algebraic concepts__Science as inquiry__- Development of ability to:- ask questions
- investigate
- observe
- construct explanations
- and communicate results
**Praxis(0069):**__Organize data into an appropriate presentation__- Use of spreadsheets and computer based interactive tools for organizing data__Read and analyze data presented in various forms__- Solve problems involving average
- Draw conclusions from data
**MSDE Teacher Technology Standards (draft):**- Access, evaluate and process information efficiently and effectively
- Apply information accurately and appropriately
**MSPAP 6-8:**__Environmental Science__- Students will use scientific skills and process to explain the interactions of environmental factors (living and non-living) and analyze their impact from a local to a global perspective.__Life Science__- Students will use scientific skills and processes to explain the dynamic nature of living things, their interactions, and the results from the interactions that occur over time.__Algebra, Patterns, and Functions__- Students will algebraically represent, model, analyze, and solve mathematical and real-world problems involving patterns and functional relationships.__Statistics and Probability__- Students will collect, organize, display, analyze and interpret data to make decisions and predictions and will use experimental methods and theoretical reasoning to determine probabilities to make predictions.__Number Relationships and Computation__- Students will describe, represent and apply numbers and their relationships and will estimate and compute using mental strategies and paper/pencil.__Processes of Mathematics__- Students will use reasoning to solve problems in mathematics, be able to communicate the processes used and the solution(s) while making connections within mathematics, to other disciplines, and to the real world.

- Web accessible computers
- Spreadsheet software
- Graphing calculators
- Overhead projection devices for calculator and computer

- Technology enriched learning and real world problem investigations
- Guided discovery learning with immediate feedback
- Computer based estimation and computation
- Visualization investigations

**UNIT AUTHORS:**

- John August, Mount St. Mary's College
- Loren Coffey, Mount St. Mary's College
- Nancy Lewis, Mount St. Mary's College
- Jen Ramult, Mount St. Mary's College

Modules: 1 2 3 4