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Probability and Statistics (Grades 3-5) Workshop DAY 1 Dr. Leah Shilling-Traina. Community of Learners. Complete 3 X 5 notecard: Name Email Where do you teach? Number of years teaching & grade levels Favorite mathematics topic Why are you here?
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Standards in mathematics education represent the goals we set for our students. They are value judgments about what we would like our students to know and be able to do.
They are chosen through a complex process that is fed by societal expectations, past practice, research information, and visions of the professionals in the field… They represent our priorities.
--- Hiebert, J. (2003). What Research Says About the NCTM Standards
a) collect and organize data, using observations, measurements, surveys, or experiments;
b) construct a line plot, a picture graph, or a bar graph to represent the data; and
c) read and interpret the data represented in line plots, bar graphs, and picture graphs and write a sentence analyzing the data.
a) describe mean, median, and mode as measures of center;
b) describe mean as fair share;
c) find the mean, median, mode, and range of a set of data; and
d) describe the range of a set of data as a measure of variation.
3.18 The student will investigate and describe the concept of probability as chance and list possible results of a given situation.
4.13 The student will
a) predict the likelihood of an outcome of a simple event; and
b) represent probability as a number between 0 and 1, inclusive.
5.14 The student will make predictions and determine the probability of an outcome by constructing a sample space.
Focusing on the big ideas also means that teachers use strategies for advancing all students’ mathematical thinking (Fraivillig, 2001) by:
1. formulating questions
2. collecting data
3. analyzing data
4. interpreting results
*Guidelines for Assessment and Instruction in Statistics Education for Pre K-12 Education
Can you give an example of an event that would have probability 0? Probability 1?
Thank you for coming to this workshop and sharing with us your thoughts, ideas, and experiences—but moreover, THANK YOU for everything that you do in the classroom each and every day!
And remember… "Good teaching is more a giving of right questions than a giving of right answers." - Josef Albers