1. Fluency in precision teaching involves measuring a combination of accuracy and speed in performing tasks, going beyond just measuring correct answers.
2. Assessing academic skills includes measuring accuracy and speed in answering basic facts, with an instructional hierarchy focusing on building accuracy, increasing fluency, promoting generalization, and adapting.
3. Size and saliency in the instructional hierarchy refer to the amount of content being taught and the level of explicit instruction, which gradually reduces as teaching progresses.
4. Tape problems are an effective intervention for building fluency in math, where the child solves problems before the answer is provided, improving accuracy and speed.
5. Teaching strategies significantly impact students' problem-solving approaches, with research showing differences between American and Taiwanese students in problem-solving strategies.
6. A focused and systematic approach to math intervention, with targeted sessions based on specific skills, can effectively enhance students' basic math skills.
7. Transitioning from using basic facts as outcome variables to utilizing state test scores for evaluation can show long-term improvement in student performance.
8. Collaborating with school districts and prioritizing individual assessment over time tests can lead to significant growth in student performance over time.