Performance outcomes and expectations for students of mathematics.

  1. Students are able to demonstrate conceptual understanding by their ability to make connections, draw inferences, see relationships and use multiple representations which are accurate and effective.

  2. Students are able to demonstrate the ability to read mathematics, create appropriate mathematical models, graphs, equations or diagrams, for verbally presented problems. As the read, they understand the syntax of algebra and can follow a sequence of logically connected mathematical statements.

  3. Students are able to demonstrate the ability to write mathematics with clarity, precision, accuracy and effectiveness using appropriate symbols and correct algebraic notation. As they write, they should be able to create a well-reasoned presentation of results, answers alone are not enough.

  4. Students are able to demonstrate the ability to communicate mathematics orally using mathematical language which appropriately and accurately models the problem or situation under consideration. When other speaking, they are engaged listeners.

  5. Students are able to demonstrate a positive and inquiring attitude toward the process of -learning mathematics thinking independently and creatively, taking risks willingly, admitting to not knowing when confused; relishing challenges, seeking alternate solutions to problems, persevering when confronted with challenges, maintaining quality workmanship.

  6. Students are able to demonstrate that they are able to assume the responsibility for they are learning-editing their own work, knowing how to test results for reasonability, using calculators and computers effectively as tools for investigation, reflecting on their learning, becoming good self-assessors.

  7. Students are able to demonstrate commitment and responsibility to collaborative learning by being well prepared for each class (if not with reasonable solutions then good questions about the problems), and assisting classmates in arriving at clear understanding, having the confidence to look to peers for clarification and edification.

  8. Students are aware that their learning has residue potential: they see utility, beauty, something that may enrich their lives.

To get an A grade - students have to meet the above expectations. Their insights are illuminating and perceptive, their communication skills are effective in clarifying complex issue for their peers, they are leaders in classrooms, and their written work provides exemplars for others .

For a B grade - students have to meet most of the above expectations. Their insights are substantial their communication skills effective and appropriate, and their written work thorough and complete.

For a C grade - students have to meet some but not all of the above expectations. Their understanding is adequate but lacking of depth, their communication skills are in variety and not always expressed with clarity, and their work is flawed in some aspect.

For a D grade - students have to meet few of the above expectations. Their understanding is their communication ineffective, they do not take advantage of the Harness pedagogy, and their work is attempted but their results are flawed. Most often, they would benefit by repeating the course, or moving to different area of mathematics.