# Statway

Statway is an accelerated statistics course that combines college-level statistics with developmental math supports.

# Statway

Statway is a set of statistical reasoning courses that are designed to teach mathematics skills that are essential for a growing number of occupations and are needed for decision-making under conditions of uncertainty.

Statway includes a set of 1-2 term offerings that are designed to meet a range of developmental and college-level student needs. See below for full course descriptions.

All Statway courses are taught using a unique pedagogical approach that promotes collaborative learning and addresses socio-emotional factors that affect student success. They also employ innovative curricula supported by aligned assessments and an online student platform. The curriculum provides students with a firm conceptual statistical understanding that allows them to use statistical tools and quantitative reasoning intelligently in their daily lives, as per the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education.

### Availability

Currently available

### Goal – College-Level Credit

The goal of the Statway Pathway is for students placed in developmental math to complete their developmental math requirements and a college-level statistics course in only two terms*.

### Learning Outcomes

Students completing Statway will understand that data analysis is a process that begins with the formulation of a question that can be addressed with appropriate data, followed by the development of a thoughtful plan for identifying and collecting the necessary data. Students will know how data can be displayed and summarized in informative ways, and they will understand how the data can be used to draw conclusions in the presence of uncertainty.

The learning outcomes of Statway are grounded in statistical and mathematical reasoning. The reasoning occurs around major statistical topics reflected in the 11 modules:

1. Module 1 focuses on the statistical analysis process and methodology.
2. Module 2 focuses on distributions, including center and variability, and data visualization.
3. Module 3 focuses on scatterplots, correlation, and regression.
4. Module 4 focuses on patterns in data and exponential models.
5. Module 5 focuses on two-ways tables and conditional probability.
6. Module 6 focuses on probability, probability distributions, binomial distributions, Z-scores, and normal distributions.
7. Module 7 focuses on sampling distributions, confidence intervals, and hypothesis tests for a population proportion.
8. Module 8 focuses on sampling distributions of differences in two proportions, confidence intervals, and hypothesis tests for the difference in two population proportions.
9. Module 9 focuses on sampling distributions of sample means, T-distributions and statistics, confidence intervals, hypothesis tests for population means, paired samples, and independent samples, and one-way ANOVA.
10. Module 10 focuses on chi-square statistics and analyses.
11. Module 11 focuses on modeling, proportions, and inequalities.

### Materials

This offering uses two textbooks and an online homework platform that includes supplemental materials, exercises, and quizzes that support the learning outcomes in each module.

### Implementation

This offering is typically implemented with 7 contact hours total (4 contact hours in the first term and 3 contact hours in the second) and provides 3 transfer-level credits over two semesters/terms.

*Accelerated Implementation. The goal of an Accelerated implementation is for students placed in developmental math to complete their developmental math requirements and a college-level statistics course in only one term. The accelerated implementation is not an official offering, but is supported by Carnegie Math Pathways. Implementation is typically a one-term course with higher contact hours. We have suggested logistics and strong success data for those interested in this implementation strategy.

### Note

This offering will also be available for fully-online instruction in Fall 2018.

Fall 2018

### Goal – College-Level Credit

The Statway college-level offering is a one-term, college-level statistics course that addresses all the college-level learning outcomes of the Statway Pathway, and incorporates the same pedagogical strategies, including Productive Persistence.

### Learning Outcomes

The course covers all major topics typically contained in a college-level statistics course. It consists of seven modules:

1. Statistical analysis process, data visualization, measures of center, shape, and spread
2. Probability, probability distribution, and normal distribution
3. Sampling distribution, confidence intervals, and hypothesis testing for sample proportions
4. Sampling distribution, confidence intervals, and hypothesis testing for sample means
5. Two-sample tests, ANOVA, and choosing an appropriate test
6. Correlation and regression
7. Chi-square

### Materials

There is a student workbook (for in-class lessons) and an online homework platform that includes supplemental materials, exercises, and quizzes that support the learning outcomes in each module.

### Implementation

The course is a 3 transfer-level credit course.

Fall 2018

### Goal – College-Level Credit

The goal of the Statway Corequisite offering is to provide a one-term, college-level statistics course for all students, with targeted supports built using the Carnegie Math Pathways design principles to provide effective scaffolding for students who need additional support. This offering consists of the one-term, college-level statistics course and a corresponding corequisite component. The corequisite component develops students’ statistical and algebraic reasoning skills in support of the learning outcomes of the college-level statistics course. This offering addresses all the learning outcomes of Statway, and incorporates the same pedagogical strategies.

### Learning Outcomes

The college-level course covers all major topics typically addressed in a college-level statistics course. It consists of seven modules:

1. Statistical analysis process, data visualization, measures of center, shape, and spread
2. Probability, probability distribution, and normal distribution
3. Sampling distribution, confidence intervals, and hypothesis testing for sample proportions
4. Sampling distribution, confidence intervals, and hypothesis testing for sample means
5. Two-sample tests, ANOVA, and choosing the appropriate test
6. Correlation and regression
7. Chi-square

The corequisite component addresses the foundational concepts and skills necessary for achieving the college-level learning objectives, and is designed to optimize support for the college-level learning objectives when it is needed.

### Materials

For the college-level component, there is a student workbook (for in-class lessons) and an online homework platform that includes supplemental materials, exercises, and quizzes that support the learning outcomes in each module. Additionally, there is a pool of corequisite resources that correspond to each lesson from which faculty can choose, depending on their desired learning objectives and student needs. The corequisite resources address topics in both statistical and algebraic thinking that relate to the ensuing or prior lesson. These materials also include preparatory lesson materials and review/practice problems.

### Implementation

The college-level component is designed as a 3 transfer-level credit course. The corequisite materials are designed to support a 1, 2, or 3 contact hour corequisite course depending on student and program needs. Corequisite “must have” materials will be labeled to inform the development of 1- or 2-hour corequisite components.

Fall 2018

### Goal – Preparation for Statway

The goal of Statway Fundamentals is to bolster students’ proficiency with the prerequisite mathematical skills and understanding, such as basic arithmetic, needed for success in the Statway Pathway.

### Learning Outcomes

The learning outcomes are currently under development, but will include at least basic conceptual understandings from arithmetic, algebra, and numeracy.

### Materials

This offering consists of an online pool of mini-lessons and practice problems from which faculty can construct their own course (stand-alone or corequisite), depending on the desired learning objectives and student needs.

### Implementation

This offering is designed to be flexible. For example, it could be administered as:

1. a stand-alone, prerequisite course to Statway, with 1-3 contact hours, or
2. a corequisite taught in conjunction with the first term of Statway, with 1-3 contact hours.

### Availability

Currently available

### Goal – Transition to College Algebra

The Pathways Bridge Materials are a set of lessons that colleges can use to provide Quantway or Statway students with a bridge to college algebra, business math, or pre-calculus courses. These materials have been collaboratively designed by network faculty using the instructional design principles of the Pathways curricula.

### Learning Outcomes

We have created 8 lessons around the following topics:

• Linear equations and inequalities, including systems
• Functions
• Exponent rules
• Polynomials expressions, including quadratic equations and factoring
• Rational expressions

### Materials

The 8 lessons are available online to be printed for students.

(CC BY-SA 4.0)

### Implementation

These lessons are designed to be implemented in any way that they are needed. For example, they can be administered at the end of a Pathway or integrated within a Pathway.