Mathematics

Midland ISD's K-12 Mathematics Framework

Midland ISD will provide equitable, rigorous, research-based mathematics instruction that develops confident and capable mathematical thinkers. Through direct, explicit, and carefully sequenced instruction, students will develop the conceptual understanding and procedural fluency needed to solve problems and apply mathematics in real-world situations. Mathematics instruction will build coherently across lessons, units, and grade levels so that all students graduate college, career, or military ready.

1. We believe in direct, explicit, and systematic mathematics instruction. 

Teachers connect new learning to prior knowledge and present mathematics in carefully sequenced, manageable steps so students develop conceptual understanding and procedural fluency. Instruction includes clear explanations and modeling, interactive questioning, frequent checks for understanding, guided and independent practice, timely feedback, purposeful scaffolds, and retrieval practice. Teachers adjust and gradually reduce scaffolds based on student responses so students build understanding, independence, and ownership of their learning.

2. We believe conceptual understanding and procedural fluency develop together. 

Students use representations—models, diagrams, tables, graphs, and equations— along with mathematical language and number sense to connect concepts and procedures to understand how and why mathematics works. Conceptual understanding supports the development of accurate and efficient procedures, while procedural practice strengthens fluency and reinforces understanding. Teachers intentionally provide opportunities for students to represent, explain, compare, and justify mathematical ideas so they make connections and use strategies flexibly. 

3. We believe purposeful practice builds fluency and automaticity. 

Students engage in daily, purposeful practice with previously learned facts and skills. Fluency means solving accurately, efficiently, and flexibly; automaticity means recalling essential facts and carrying out familiar procedures with minimal effort. Practice is spaced over time and interleaved with prior learning so students regularly retrieve and apply what they have learned. Teachers monitor progress and adjust practice based on student needs. Automaticity reduces demands on working memory, allowing students to focus more fully on reasoning, problem solving, and new learning. 

4. We believe mathematical learning should transfer to new situations. 

Students communicate their reasoning through meaningful mathematical discourse and written justification. They apply their understanding to unfamiliar problems, varied contexts, and real-world situations. As understanding and fluency develop, students learn to select and adapt strategies independently. This transfer prepares students to solve new problems rather than rely on a familiar format or memorized procedure.