The document outlines the key learning components in NROC's open mathematics curriculum, including topic home pages to orient learners, warm-ups to test prior knowledge, multimedia presentations to introduce concepts, worked examples to explain procedures, practice problems with feedback, an integrated textbook for comprehensive coverage, reviews to self-test understanding, collaborative projects, tutor simulations for guidance, puzzles to reinforce concepts playfully, and formative/summative assessments to guide progress.

1. “ Opening” Mathematics for All Learners An overview of learning components within NROC’s open mathematics curriculum.

2. The topic home page orients learners to the objective and learning activities.

3. Warm-ups provide pre-assessment to test prior knowledge and recommend review.

4. Presentations offer a media-rich conceptual introduction to the topic with illustrated examples. Different presenters appear throughout the course to appeal to different students.

5. Worked examples are step-by-step explanations of procedures and strategies for solving problems.

6. Practice problems - symbolic and word - are designed in adaptive sets, and offer students immediate feedback.

7. An integrated textbook provides comprehensive coverage of topics with additional explanations, manipulatives and examples.

8. Review offers the learner an opportunity to self-test their understanding prior to moving to the next topic.

9. Projects are collaborative assignments in the project-based learning tradition to solve real-world problems.

10. Tutor simulations offer students directed guidance in problem solving.

11. Puzzles give learners a chance to play with and reinforce math concepts in a fun, no-fault environment.

12. Formative and summative assessment is designed to guide a learner’s progress. Semester exams provide additional summative assessment.