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MM 1 Midterm
| Term | Definition |
|---|---|
| Purpose of the three-phase lesson format | To support equitable teaching and mathematical proficiency for all learners. |
| Before Lesson Phase Goals | Activate prior knowledge, ensure the problem is understood, and establish clear expectations. |
| Ensuring the Problem is Understood (Before Phase) | Ensure students know what the task entails without explaining how to solve it. |
| Letting Go (During Phase) | Stepping back to encourage productive struggle, allowing mistakes, and using probing questions instead of giving answers. |
| Active Listening Without Evaluation (After Phase) | Making student thinking visible to peers without the teacher serving as the sole evaluator of correctness. |
| Three Reads Protocol | A language-focused routine where students read a problem three times with different lenses to understand it without being told how to solve it. |
| Which One Doesn't Belong (WODB) | A 2x2 grid of items where each element has a valid reason why it does not belong, encouraging diverse justifications. |
| Worked Examples | Solved, partially solved, or incorrect tasks used to bring to light alternative strategies, common errors, or new content. |
| Three-Act Math | A full-lesson mathematical modeling task spanning three acts: engaging visual/hook, identifying variables/solution path, and reveal/discussion. |
| Learning Centers | Stations or concrete locations used during the lesson's during phase where students focus on different ways to make sense of a concept. |
| Low floor and high ceiling | A task design where everyone can engage at the start and the problem extends to challenge anyone. |
| Reversibility questions | Turning a closed problem around by providing the answer and asking students to find the equation. |
| Formative Assessment | Measuring student understanding and assists teachers in finding where instruction needs retaught (projects, worksheets, exit tickets, etc) |
| Summative Assessment | Evaluates overall progress after instruction (end of unit test, standardized test, etc) |
| Activating Prior Knowledge (Before Phase) | Remind students of previous learning and connect to personal experience regarding the mathematical goal. |
| Establishing Clear Expectations (Before Phase) | Inform students how they will work and what products they must prepare for the after phase. |
| During Lesson Phase | The bulk of a problem-based lesson where students explore the task alone, with partners, or in small groups. |
| Flexible Grouping | Varying the size and makeup of small groups purposefully; avoids ability grouping to support equitable teaching. |
| After Lesson Phase | Facilitating meaningful mathematical discourse where students share, justify, challenge, and compare solutions. |
| Mathematical Routines | Short experiences (10-15 minutes) with a specific structure designed to strengthen student fluency, reasoning, and sense-making. |
| Number Talks | A brief (5-15 minute) mental math routine focused on developing procedural efficiency, flexibility, and accuracy through reasoning. |
| Number Strings | A sequence of carefully selected problems revealed one at a time to highlight a specific strategy or big idea. |
| Splat! | A visual routine where part of the quantities is covered up, requiring mathematical reasoning to determine what is hidden. |
| Estimation 180 | Sequenced daily visual estimation problems designed to help students build estimation strategies and determine reasonable ranges. |
| Open questions | Broad-based questions that invite meaningful responses from students at many developmental levels. |
| Differentiating tasks | Altering a task to meet students' learning needs without lowering its cognitive demand. |
| Choice tasks (Parallel tasks) | Story problems where students choose the values they want to use to increase motivation and self-direction. |
| Differentiating by structure | Providing different levels of guidance, such as open-ended, slightly structured, or highly structured task cards. |