| Concepts or Big Ideas |
Outcomes |
Activity Sequence |
Evaluation levels |
|
Reflective - Being curious and willingly openminded to consider explaining ideas with mathematics based on evidence and reasoning against previous ideas is meaningful, because the more people explore and ask questions the more they understand. |
- Able to solve mathematical problems.
- Recognzes patterns.
- Talk about problems and desire to justify solutions.
- Join together ideas and projects to make new ones.
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Exemplary - Attribute his or her success to being open-minded, objective, focusing on the task, creating alternate possible strategies and solutions, persevering till a solution is achieved, and having self-efficacy to being able to select appropriate strategies, to solve problems, and communicate solutions with supporting explanations. (open-minded, objective, focused, creative, perserverence, self-efficacy, reasonable effort.) |
| Value mathematics - Mathematics is a powerful tool that requires evidence and objectivity to be used to describe and prediict everyday occurances. |
- Explore mathematical ideas.
- Like interesting problems.
- Initiate their own ideas.
- Like to use mathematical manipulatives.
- Insistent on evidence to formulate explanations, make decisions, and will seek proof to verify ideas and make decisions.
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| Responsible - Taking action is necessary for personal understanding and learning. |
- Initiate their own ideas.
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| Values communication - Effective communicate enables others to understand problems, solve them, and accurately conceptualize ideas. |
- Use mathematical ideas to describe or predict events in his or her life.
- Observe other and work with others.
- Follow prompts or suggestion?
- Desires to explain their understanding, reasoning, and procedures.
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| Persistent, grit - Sometimes you have to think for awhile before an idea comes so you can understand an idea despite obstacles, warnings or setbacks. |
- Follow through on an idea to completion or begin one construction and only abandon it when another appears more promising.
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| Self-efficacy - Everyone has the ability to recognize patterns, create solutions, and solve problems. They need to select good strategies and keep trying or know how and where to seek help to be successful. |
- Are confident in their ability to achieve success and explain solutions.
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Dr. Robert Sweetland's notes