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Mathematics — Study and Teaching
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1.

Literacy Across the Curriculum Professional Development Planner and Resource Package

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A comprehensive resource package designed to assist educators in teaching reading in the content areas.
Visual MaterialsBookVHS
2002
Ivy (By Request)
2.

Hop to It!: Generalizing Patterns

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Uses an eighth grade TIMSS item to probe student thinking and to develop a lesson concerning frog jumps in which students look for patterns, find a general rule, and express the rule using a variable.
VHS
1999
Ivy (By Request)
3.

Inference for One Mean [electronic resource]

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Covers inference about the mean of a single distribution, with emphasis on paired samples. Also covers the "t" confidence interval and test.
Online
1989
4.

Experimental Design [electronic resource]

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Covers the advantages of planned data collection over anecdotal evidence or available data. Distinguishing between observational studies and experiment, it focuses on basic design principles including comparison, randomization and replication.
Online
1989
5.

Describing Relationships [electronic resource]

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Covers scatterplots and their variations, smoothing scatterplots of response versus explanatory variable by median trace, linear relationships, and least squares regression lines.
Online
1989
6.

Describing Distributions [electronic resource]

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Deals with numerical measures of specific aspects of distribution, such as center (mean, median), spread (percentiles, boxplots, standard deviation), and resistance.
Online
1989
7.

Correlation [electronic resource]

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Covers correlation and its properties and the relation between correlation and regression. Use the relationship between a baseball player's salary and his home run statistics, to show how to derive and interpret the correlation coefficient.
Online
1989
8.

Confidence Intervals [electronic resource]

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Deals with the reasoning behind confidence intervals, z-intervals for the mean of a normal distribution, and the behavior of confidence intervals. Examples are chosen from population surveys to demonstrate how margin of error and confidence levels are interpreted.
Online
1989
9.

Case Study [electronic resource]

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Presents a case study that illustrates the major aspects of statistical thinking, including planning data collection, analysis by graphs and informal inference, and additional data collection in response to partial success.
Online
1989
10.

Comparing Two Means [electronic resource]

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Deals with two-sample t confidence intervals and tests for comparing means.
Online
1989
11.

Blocking and Sampling [electronic resource]

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Covers further principles of design, including two or more factors and blocking. Topics include sample surveys, the danger of bias and random sampling.
Online
1989
12.

Binomial Distributions [electronic resource]

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Deals with the law of large numbers and presents additional rules for means and variances of random variables. Also covers binomial distributions for sample counts.
Online
1989
13.

Random Variables [electronic resource]

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Covers random variables, including the multiplication rule for independent events, discrete and continuous random variables, and the mean and variance of a random variable.
Online
1989
14.

The Question of Causation [electronic resource]

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Deals with the association between categorical variables displayed in a two-way table. Illustrates Simpson's paradox, the numerous relations among variables that underlie an observed association, and how evidence of causation is obtained. Examples siting the relationship between smoking and lung cancer are used.
Online
1989
15.

Picturing Distributions [electronic resource]

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Illustrates stemplots and histograms, demonstrating the importance of pattern deviations in examples drawn from meterology, traffic control and television programming.
Online
1989
16.

Normal Distributions [electronic resource]

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Covers density curves as smoothed histograms (mean, median, percentiles for density curves) and normal distributions (general shape, locating the mean and standard deviation, the 68-95-99.7 rule).
Online
1989
17.

Normal Calculations [electronic resource]

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Covers standardization and calculation of normal relative frequencies from tables, and assessment of normality by normal quantile plots. Emission standards and cholesterol studies are chosen as examples of normal calculations at work.
Online
1989
18.

Multidimensional Data Analysis [electronic resource]

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Covers the impact of computing technology on statistics, especially graphics for displaying multidimensional data. Examples are chosen from computing technology at Bell Communications Research.
Online
1989
19.

Inference for Relationships [electronic resource]

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Covers inference for simple linear regression, emphasizing slope and prediction.
Online
1989
20.

Models for Growth [electronic resource]

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Deals with mathematical models for simple kinds of growth over time. Linear growth is explained with a review of the geometry of straight lines and an introduction to least squares, exponential growth, prediction, and extrapolation.
Online
1989