Intervention in Middle and High School should include these major components:
Conceptual Learning Experiences: Conceptual understanding is knowing more than isolated facts and methods. The successful student understands mathematical ideas and has the ability to transfer their knowledge into new situations and apply it to new contexts. Conceptual understanding includes:
Purposeful questions
Tasks that promote reasoning and problem solving
Guided Practice using manipulatives or models
Explicit Vocabulary Instruction: Needs to be tiered to the context of mathematics so students are likely to identify relationships between word meaning and mathematical concepts. High- quality vocabulary instruction helps students retain word meaning and become fluent in word use. Explicit vocabulary instruction exposes students to word meaning multiple times through rich and varied activities to relevant information about the word.
Fluency and Basic Math Facts: Fluency develops as a result of many opportunities to practice mathematics with a high degree of success. Fluency and accuracy with math facts is an important prerequisite to higher level math problem solving skills. When students are fluent with basic facts, they are more motivated to persevere on difficult tasks and are more likely to be more confident when learning new math skills.