Contextualized Learning in Hawkes’ Beginning Statistics Corequisite Course

Students in your corequisite course have most likely seen these lessons before—some even two or three times. Yet, it’s just not sticking, and students are feeling frustrated.

What can you do?

Contextualize the prerequisite content for your corequisite students.

Updates to the Beginning Statistics + Integrated Review courseware include new Making Connections and Looking Ahead sections in review lesson modules. These sections provide examples and videos connecting the foundational concepts to the credit-bearing material.

The Making Connections section informs students at the beginning of the lesson why they need to learn the upcoming review content.

Check out the example from the “The Real Number Line and Inequalities” lesson:

begr-2-r-6-intro

Students then walk through the instructional content of the lesson to get familiar with the concepts. At the end, they encounter the new Looking Ahead section, which shows students how to apply what they’ve learned and how it will help them understand the next lesson:

begr-2-r-6-outro


 

Explore another example from our “Area” lesson. Before students delve into the material, they get a brief introduction:

begr6-r-1-intro

Once students are acquainted with the lesson, they can look ahead to what’s next:

begr-6-r-1-outro1

With this contextualized approach to learning, students will gain a greater sense of why they’re being taught this information, making it more important to them.


begripad 3d

 

Interested in seeing more of this course? Contact us today at info@hawkeslearning.com or 1-800-426-9538 to get free access to the student courseware!

Sensor data collection for class projects

RPi-Logo-Stacked-SCREEN

Collect data with sensors for classroom exploration.

Involving students in the first step of the data collection process promotes engagement and interest.

It’s hard to collect accurate data in the real world. Students must learn to be aware of different variables that impact readings and to harness their critical thinking skills to troubleshoot often.


Raspberry Pi
Raspberry Pi is a small, microcomputer processor with an average cost of $25-$35. This simplistic device can be outfitted with different sensors, including those that measure temperature, moisture, humidity, and so much more.

Without a keyboard or monitor, the Raspberry Pi can be set up in any location in a classroom and take measurements of sensor data at requested intervals.

Once collected, data can be downloaded and used for analysis.

Hawkes is using these devices to set up several experiments to provide a live data feed for free use, and you can too!


Here are 3 ideas for experiments that we have in the works using Raspberry Pi:

1. Bamboo growth
Follow how quickly different bamboo plants are growing and what impacts their growth. You can also check out the cool sensor data PiPlanter is collecting, including soil humidity and ambient light, to create a clever irrigation device!

2. Air quality control
Track carbon monoxide emissions and see how the readings change as distance to humans varies.

3. Temperature
Assess temperature in different locations of the room. Watch out for variables such as air conditioning drafts, sunlight, and proximity to people and computers.


DIS3

 

The impact of sensors and data collection in today’s world is covered in the NEW Discovering Statistics and Data text.

Get your free exam copy today!

You focus on teaching. Let us provide the data.

The new Discovering Statistics and Data text offers 36 (and counting!) real data sets for free download.

Data Set Obesity

The companion website to the new Discovering Statistics and Data textbook, stat.hawkeslearning.com, supplies updated and relevant data sets, instructions on computational technologies, and access to data visualization tools and websites.

These large data sets expose students to the kind of real-world data they will encounter in their future careers. With so many variables and data points included, students must learn to work the data and make meaning from all the information provided.

This free online resource from trusted sources shows how interesting exploring data can be. Students will learn to work with raw data and draw meaningful conclusions.

Exercises in the new Discovering Statistics and Data textbook refer to the data sets provided on this curated website.

Teaching a corequisite statistics course?
The new Discovering Statistics and Data + Integrated Review emphasizes the importance of data in today’s world and is designed to provide all developmental math content needed to support statistics learners.

Request a free exam copy here.

DIS3

5 Ways to Get Students Interested in Statistics

Creating a universally engaging classroom environment can be challenging, but having the right tools that make lesson content relevant to students helps! Below are 5 ways to get your students more excited about statistics:

1. Interesting Data
Finding data on topics students think are fun, like beers and breweries across the country, might pique interest. Use this spreadsheet from the U.S. Census to show them socioeconomic trends they may witness themselves in their own demographic (or age bracket).

2. Visualization Tools
Seeing is believing. The free online resource Gapminder offers a graphical simulator depicting 5 dimensions of real-world data in 2D. Students can change the relationships between demographic, economic, and societal variables animated over time to see some pretty neat relationships in motion.

3. Applications Challenge
Knowing the immediate value of the lesson they’re learning gives students more encouragement to commit the content to memory. Asking students to find their own data sets on their favorite sports team or something they connect with might engage their interest and help them truly grasp the concepts.

5 ways to makes stats more relevent

4. Games
You know statistics can (and is!) fun, and who doesn’t like to win? Interacting with a game and trying to win it make learning more exciting. View some examples of statistics games here.

5. Simulations
Help students grasp key concepts through simulations that hold their attention! Use simulations in class and encourage students to work through as a group to liven up the lecture time. Check out fun simulations here.

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EXPLORE MORE ENGAGING APPLICATIONS OF STATISTICS


 

Discover relationships with this data visualization teaching tool.

Statistics instructors, have you explored Gapminder yet? It’s one of our favorite data visualization resources! It’s a free site offering many videos and tools, including a graphical simulator depicting 5 dimensions of real-world data in 2D.

Check out how you can use this tool in your classroom to show students the changing relationships between demographic, economic, and societal variables animated over time.

Change the variables to include life expectancy, average income, population, unemployment rate, CO2 emissions, amount of cell phone users, and more. Pinpoint specific historical events to discover their impact through data visualization.

 

  • Correlating development data
    Select Chart and compare different indicators, such as Life Expectancy and Income. What correlations can be found?
  • Analyzing trends
    Try choosing Life Expectancy and analyzing changes over time (select Time for the x axis.) Track selected countries by selecting them, clicking the Trails box, and playing the animation.
  • Mapping development indicators
    Select Map and look for patterns by selecting different development indicators for the countries.

Discovering Statistics and Data cover

 

Along with many downloadable data sets and computational technology instructions, this data visualization tool is available on our free web resource, stat.hawkeslearning.com.

This tool is also integrated within our new text, Discovering Statistics and Data, to bring students toward a deeper understanding of statistics and how we can tell stories through data analysis.

Let us know if you want an exam copy at 1-800-426-9538 or sales@hawkeslearning.com!

 

 


FREE TO USE! CC-BY GAPMINDER.ORG.

SHOWING A FREE VISUALIZATION FROM GAPMINDER.ORG, CC-BY LICENSE.

 

Integrate Developmental Math with Statistics in Corequisite Course

Cover of Discovering Statistics and Data Plus Integrated ReviewDiscovering Statistics and Data Plus Integrated Review leads students through the study of statistics with an introduction to data.

It pays homage to the technology-driven data explosion by helping students understand the context behind future statistical concepts to be learned. Students are introduced to what data is, how we measure it, where it comes from, how to visualize it, and what kinds of career opportunities involve its analysis and processing.

 

This integrated course enhances curriculum-level statistics with applicable review skills to shorten the prerequisite sequence without compromising competency. Target specific remediation needs for just-in-time supplementation of foundational concepts.

Table of Contents:

Chapter 0: Strategies for Academic Success

0.1 How to Read a Math Textbook
0.2 Tips for Success in a Math Course
0.3 Tips for Improving Math Test Scores
0.4 Practice, Patience, and Persistence!
0.5 Note Taking
0.6 Do I Need a Math Tutor?
0.7 Tips for Improving Your Memory
0.8 Overcoming Anxiety
0.9 Online Resources
0.10 Preparing for a Final Math Exam
0.11 Managing Your Time Effectively

Chapter 1.R: Integrated Review

1.R.1 Problem Solving with Whole Numbers
1.R.2 Introduction to Decimal Numbers
1.R.3 Exponents and Order of Operations

Chapter 1: Statistics and Problem Solving

1.1-1.8 Introduction to Statistical Thinking

Chapter 2.R: Integrated Review

2.R.1 Introduction to Fractions and Mixed Numbers
2.R.2 Decimal Numbers and Fractions
2.R.3 Decimals and Percents
2.R.4 Comparisons and Order of Operations with Fractions
2.R.5 Estimating and Order of Operations with Decimal Numbers
2.R.6 Fractions and Percents

Chapter 2: Data, Reality, and Problem Solving

2.1 The Lords of Data
2.2 Data Classification
2.3 Time Series Data vs. Cross-Sectional Data
Chapter 2 Review Chapter 2 Review

Chapter 3.R: Integrated Review

3.R.1 Reading Graphs
3.R.2 Constructing Graphs from a Database
3.R.3 The Real Number Line and Absolute Value

Chapter 3: Visualizing Data

3.1 Frequency Distributions
3.2 Displaying Qualitative Data Graphically
3.3 Constructing Frequency Distributions for Quantitative Data
3.4 Histograms and Other Graphical Displays of Quantitative Data
3.5 Analyzing Graphs
Chapter 3 Review Chapter 3 Review

Chapter 4.R: Integrated Review

4.R.1 Addition with Real Numbers
4.R.2 Subtraction with Real Numbers
4.R.3 Multiplication and Division with Real Numbers
4.R.4 Simplifying and Evaluating Algebraic Expressions
4.R.5 Evaluating Radicals

Chapter 4: Describing and Summarizing Data From One Variable

4.1 Measures of Location
4.2 Measures of Dispersion
4.3 Measures of Relative Position, Box Plots, and Outliers
4.4 Data Subsetting
4.5 Analyzing Grouped Data
4.6 Proportions and Percentages
Chapter 4 Review Chapter 4 Review

Chapter 5.R: Integrated Review

5.R.1 The Cartesian Coordinate System
5.R.2 Graphing Linear Equations in Two Variables
5.R.3 Slope-Intercept Form
5.R.4 Point-Slope Form

Chapter 5: Discovering Relationships

5.1 Scatterplots and Correlation
5.2 Fitting a Linear Model
5.3 Evaluating the Fit of a Linear Model
5.4 Fitting a Linear Time Trend
5.5 Scatterplots for More Than Two Variables
Chapter 5 Review Chapter 5 Review

Chapter 6.R: Integrated Review

6.R.1 Multiplication with Fractions
6.R.2 Division with Fractions
6.R.3 Least Common Multiple (LCM)
6.R.4 Addition and Subtraction with Fractions
6.R.5 Addition and Subtraction with Mixed Numbers
6.R.6 Union and Intersection of Sets

Chapter 6: Probability, Randomness, and Uncertainty

6.1 Introduction to Probability
6.2 Addition Rules for Probability
6.3 Multiplication Rules for Probability
6.4 Combinations and Permutations
6.5 Bayes Theorem
Chapter 6 Review Chapter 6 Review

Chapter 7.R: Integrated Review

7.R.1 Order of Operations with Real Numbers
7.R.2 Solving Linear Inequalities in One Variable
7.R.3 Compound Inequalities

Chapter 7: Discrete Probability Distributions

7.1 Types of Random Variables
7.2 Discrete Random Variables
7.3 The Discrete Uniform Distribution
7.4 The Binomial Distribution
7.5 The Poisson Distribution
7.6 The Hypergeometric Distribution
Chapter 7 Review Chapter 7 Review

Chapter 8.R: Integrated Review

8.R.1 Area
8.R.2 Solving Linear Equations: ax + b = c
8.R.3 Working with Formulas

Chapter 8: Continuous Probability Distributions

8.1 The Uniform Distribution
8.2 The Normal Distribution
8.3 The Standard Normal Distribution
8.4 Applications of the Normal Distribution
8.5 Assessing Normality
8.6 Approximation to the Binomial Distribution
Chapter 8 Review Chapter 8 Review

Chapter 9: Samples and Sampling Distributions

9.1 Random Samples
9.2 Introduction to Sampling Distributions
9.3 The Distribution of the Sample Mean and the Central Limit Theorem
9.4 The Distribution of the Sample Proportion
9.5 Other Forms of Sampling
Chapter 9 Review Chapter 9 Review

Chapter 10.R: Integrated Review

10.R.1 Absolute Value Equations
10.R.2 Absolute Value Inequalities

Chapter 10: Estimation: Single Samples

10.1 Point Estimation of the Population Mean
10.2 Interval Estimation of the Population Mean
10.3 Estimating the Population Proportion
10.4 Estimating the Population Standard Deviation or Variance
Chapter 10 Review Chapter 10 Review

Chapter 11.R: Integrated Review

11.R.1 Translating English Phrases and Algebraic Expressions
11.R.2 Applications: Scientific Notation

Chapter 11: Hypothesis Testing: Single Samples

11.1 Introduction to Hypothesis Testing
11.2a Testing a Hypothesis about a Population Mean with Sigma Known
11.2b Testing a Hypothesis about a Population Mean with Sigma Unknown
11.2c Testing a Hypothesis about a Population Mean using P-values
11.3 The Relationship Between Confidence Interval Estimation and Hypothesis Testing
11.4a Testing a Hypothesis about a Population Proportion
11.4b Testing a Hypothesis about a Population Proportion using P-values
11.5 Testing a Hypothesis about a Population Standard Deviation or Variance
11.6 Practical Significance vs. Statistical Significance
Chapter 11 Review Chapter 11 Review

Chapter 12: Inferences about Two Samples

12.1a Inference about Two Means: Independent Samples with Sigma Known
12.1b Inference about Two Means: Independent Samples with Sigma Unknown
12.2 Inference about Two Means: Dependent Samples (Paired Difference)
12.3 Inference about Two Population Proportions
Chapter 12 Review Chapter 12 Review

Chapter 13: Regression, Inference, and Model Building

13.1 Assumptions of the Simple Linear Model
13.2 Inference Concerning the Slope
13.3 Inference Concerning the Model’s Prediction
Chapter 13 Review Chapter 13 Review

Chapter 14: Multiple Regression

14.1 The Multiple Regression Model
14.2 The Coefficient of Determination and Adjusted R-Squared
14.3 Interpreting the Coefficients of the Multiple Regression Model
14.4 Inference Concerning the Multiple Regression Model and Its Coefficients
14.5 Inference Concerning the Model’s Prediction
14.6 Multiple Regression Models with Qualitative Independent Variables
Chapter 14 Review Chapter 14 Review

Chapter 15: Analysis of Variance (ANOVA)

15.1 One-Way ANOVA
15.2 Two-Way ANOVA: The Randomized Block Design
15.3 Two-Way ANOVA: The Factorial Design
Chapter 15 Review Chapter 15 Review

Chapter 16: Looking for Relationships in Qualitative Data

16.1 The Chi-Square Distribution
16.2 The Chi-Square Test for Goodness of Fit
16.3 The Chi-Square Test for Association
Chapter 16 Review Chapter 16 Review

Chapter 17: Nonparametric Tests

17.1 The Sign Test
17.2 The Wilcoxon Signed-Rank Test
17.3 The Wilcoxon Rank-Sum Test
17.4 The Rank Correlation Test
17.5 The Runs Test for Randomness
17.6 The Kruskal-Wallis Test
Chapter 17 Review Chapter 17 Review

Appendix

A.1 Name that Distribution
A.2 Direct Mail
A.3 Type II Errors
A.4 Games of Chance
A.5 Comparing Two Population Variances
A.6 Statistical Process Control

 


Interested in exploring this course?

 

Contact us today at sales@hawkeslearning.com or 1-800-426-9538.