Reasoning about and making sense of statistics and probability are essential to students future success. This volume belongs to a series that supports NCTM's Focus in High School Mathematics: Reasoning and Sense Making by providing additional guidance for making reasoning and sense making part of the mathematics experiences of all high school students every day. Six investigations illustrate how to help high school students develop their skills in working with data. The investigations emphasize the roles of reasoning and sense making in defining a statistical question and collecting, analyzing, and interpreting data to answer it. The authors examine the key elements of statistical reasoning identified in Focus in High School Mathematics: Reasoning and Sense Making and elaborate on the associated reasoning habits. The investigations show how students can use these habits in analyzing data sets, constructing and comparing representations of data, and using samples and simulations to gather data. They reason about distributions of data and how to use measures of center, lines of best fit, and other tools and techniques to detect trends, make predictions, and determine the allowable scope of conclusions. The development of statistical reasoning must be a high priority for school mathematics. This book offers a blueprint for emphasizing statistical reasoning and sense making in the high school curriculum.

Focus in High School Mathematics: Statistics and Probability

Science & Math

Kranendonk, Henry

Shaughnessy, Michael J.

Chance, Beth

Mathematics

Natl Council of Teachers of

"Teacher's Module," see 2nd scan for detailed info; includes CD

Making Sense of Statistical Studies: Teacher's Module

Peck, Roxy

Starnes, Daren

Morita, June

American Statistical Association

Focus on Statistics consists of 19 investigations in statistics for grades 9–12. It is written to help classroom teachers implement key statistical concepts in their classrooms.Included in the 19 investigations are three exploratory investigations that encourage students to collect and analyzetheir own data. In Investigation 4, students collect data from the Census at School website involving the amount ofhomework for different grade levels. In Investigation 8, students collect data on two quantitative variables involving thelength of time for dominoes to fall. In Investigation 18, students use the Census at School website to collect and comparedata pertaining to stress levels for students in the US and New Zealand.Each investigation explicitly contains the four components of the problem-solving process presented in the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE) Report: A Pre-K–12 Curriculum Framework (www.amstat.org/education/gaise). The GAISE framework emphasizes hands-on learning of statistics by using four steps: formulating a statistical question that can be answered with data; designing and implementing a plan to collect appropriate data; analyzing the collected data by graphical and numerical methods; and interpreting the results of the analysis in the context of the original question.A second component of the GAISE framework is comprised of three levels of statistical development: A, B, and C. These levels are independent of age and grade level. Students progress through these levels as they continue to have more experiences with concepts of statistics and probability.Each investigation encourages student involvement through the use of student worksheets. These worksheets provide guidance as students, working in groups, follow the four statistical problem-solving steps.Focus on Statistics is designed so each lesson can stand alone. Our goal is to provide you with a resource to give you and your students data analysis experiences that bring the essential concepts in statistics to life. It also is designed to give you flexibility. Several investigations can be completed in one to two 50-minute class periods.

Focus on Statistics: Investigations for the Integration of Statistics into Grades 9-12 Mathematics Classrooms

Brown, Sara

Hopfensperger, Patrick

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