I am glad that I attended this workshop by the Academy of Inquiry-Based Learning because it gave me lots of new ideas for my College Algebra course. It also helped to excite and re-energize, as well as renew my love for teaching. It was helpful to be around like-minded people and know that I am on the right track in doing what is best for my students.

**Here are some ideas from the workshop that I either have already implemented or plan to implement:**

- Write four problems on the Board and then have students sign-up to present solutions. The student who signs up for the least number of problems gets to do it. If they make a mistake while at the Board, they get one pass before someone else gets to try it. Consider a minimum number of presentations per student each semester.
- Students need a chance to reflect on what they’ve just read, learned, viewed, discussed, etc. Each group needs to have a deliverable. e.g., after a student presentation, ask students to work in small groups for a minute and write down a question, comment, or concern. Or ask students to turn in a summary of what other students said.
- Ask students to present multiple representations. e.g., if a group finishes early, ask them to solve the problem differently.
- Have an agenda on the Board and list objectives at the beginning of each section.
- Encourage students to use flashcards.
- Kinesthetic use of the whiteboard in the classroom (moving around the room, pointing, etc.)
- Consider giving students a choice of what problem they wish to work.
- Use a feedback/exit ticket.

**Specific ideas for my classes:**

- Use a ‘Function Continuity at a Point’ workshop to develop a formal definition of continuity.
- Include ideas for flashcards at the end of each section of my notes. Also, add vocabulary activities to the notes.
- Having students work in groups in my Business Calculus (Math 1370) course went very well. How can I pare down the material to have time for even more group work in the future? Consider what applications for which there is time?
- Remember to have my Calculus II (Math 1770) students do presentations on Integration Techniques again in the future. Remember to ask students to have handouts prepared for their presentations.
- Continue using mastery-based online quizzes.
- Add examples to College Algebra (Math 1415) notes of the examples of the algebra needed for calculus.
- Watch videos in class and have a small group discussion. It could be especially useful for my Statistics (Math 1340) classes.
- Include the ‘Mathematics of Weight Loss’ activities I created in my classes.
- Bring back the ‘Study Skills Survey’ after each test.
- Use the picture I took of the Hermosa Beach Pier to introduce Right Angle Trigonometry in my Trigonometry (Math 1435) classes.

**First day of class suggestions:**

- Place students in groups by using numbers to match. Or consider having name cards made in advance to assign students on the first day randomly.
- Tell students about my background and how it relates to my preparation for teaching the course.
- Send students email before the course starts.
- Ask students to answer the following two questions, and then discuss in small groups, report out in a large group discussion, do a gallery walk, etc.:
- I most effectively complete mathematics when…
- Two objects are congruent if…, what is algebra?, etc.

- Consider doing a Hedbanz Game.
- Ask students what they have gotten better at in the past.

**Some general comments:**

- An instructor needs to teach in a format in which they are comfortable and prepared.
- It is important to be aware of gender roles in the classroom.
- I still need to watch myself from saying too much.

To stay accountable for what I learned during this workshop, I have developed documentation of how I am incorporating IBL Methods into all of my courses:

**Math 1415 – Precalculus I: College Algebra**