Chapter 15

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Making Sense of Our WorldThrough Technology, Data Analysis and Probability

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Mathematical Routine:Human Calculator

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Conversation in Mathematics

• Discuss how technology is used to support problem solving for this student.

• What connections is he able to make?

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Technology Integrations

• Pedagogy

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Technologically Supported Tasks during the Launch

• Simulations• Games• Problem-solving software• Internet - to collect data

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Using Technological Tools during the explore

• Calculators / graphing calculators• Spreadsheets• Virtual manipulatives• Web quests & other internet sites

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Using Technological Tools during the summarize

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Data Analysis and Probability

• Content

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Sorting and Classifying

• One or two attributes• Which doesn’t belong and why• Guess my Rule

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Collecting Data

• Use authentic questions• Collect data over time

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• Tally Charts

• frequency table

• Graphs (line plot, pictograph, bar graph, histogram, circle graph/pie chart, stem-leaf plot)

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Analyzing & Interpreting Graphs

• What does this graph tell us?• Central Tendency: mean, median, mode

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Average Problems

• The mean weight of 12 boulders is 25 pounds. Adding another boulder increases the mean weight to 29 pounds. How much does the 13th boulder weigh?

• The mean of a list of seven numbers is 45. If two numbers are added to the list, the mean becomes 37. What is the mean of the two numbers that I added to the list?

• Construct a set of ten numbers with a mean of 7, a median of 6 and a mode of 3.

Author unknown

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Probability

• Theoretical & Experimental• Simple Events• Independent & Dependent Events

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Games to Explore Probability

• Fair/not fair games• Possible sums of a 2 dice toss• Mystery bags

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