# Algebra

## Contents

### Algebra LearnLab course description

The Algebra LearnLab course is described here.

The Algebra LearnLab course involves teaching high school Algebra I using the textbook and tutoring system of Carnegie Learning. The curriculum combines software-based, individualized computer lessons with collaborative, real-world problem-solving activities. Students spend about 40% of their class time using the software, and the balance of their time engaged in classroom problem-solving activities. Three Pittsburgh-area high schools are currently participating as PSLC Algebra LearnLab sites, offering a diverse student population, and additional high schools around the country are anticipated for future participation.

See a list of course topics below.

### Algebra & Geometry LearnLab Course Committee

The Math Course Committee meets monthly and is led by Albert Corbett (corbett@andrew.cmu.edu).

Teachers (and perhaps researchers) can find answers to questions on the FAQ for teachers.

### Algebra Learnlab Studies

- Improving skill at solving equations through better encoding of algebraic concepts (Booth, Siegler, Koedinger & Rittle-Johnson)
- Handwriting Algebra Tutor (Anthony, Yang & Koedinger)
- Lab study proof-of-concept for handwriting vs typing input for learning algebra equation-solving (completed)
- Effect of adding simple worked examples to problem-solving in algebra learning (completed, analysis in progress)
- In vivo comparison of Cognitive Tutor Algebra using handwriting vs typing input (in progress)

- Collaborative Extensions to the Cognitive Tutor Algebra: Scripted Collaborative Problem Solving (Rummel, Diziol, McLaren, & Spada)
- Collaborative Extensions to the Cognitive Tutor Algebra: A Peer Tutoring Addition (Walker, McLaren, Koedinger, & Rummel)
- Robust Learning in Culturally and Personally Relevant Algebra Problem Scenarios (DiBiano, Petrosino, Greeno, & Sherman)
- Improving student affect through adding game elements to mathematics LearnLabs (Baker, Aleven)

These studies are also organized within research clusters that address common issues across a variety of academic content domains: Coordinative Learning, Interactive Communication, and Refinement and Fluency.

### Algebra I topics

- Organizing Single Variable Data
- Simplifying Linear Expressions
- Finding Linear Equations from Graphs
- Solving Linear Equations and Inequalities
- Standard Form
- Slope Intercept Form
- Mathematical Modeling
- Linear Expressions and Equations
- Quadratic Expressions and Equations
- Solving Systems of Linear Equations Algebraically and Graphically
- Solving and Graphing Equations Involving Absolute Values
- Problem Solving using Proportional Reasoning
- Analyzing Data and Making Predictions
- Powers and Exponents