Table of Contents

AY 300 - Fall 2012: Third Day Lesson Plan

Preface

Today's class will discuss teaching math and effective group strategies.

GOALS

Ask everyone to write down their section times, so the instructors know.

Section Sharing (15 min)

If anyone has had section already, have them informally share their section experience. Some questions include:

During this (and after), open the floor up for general questions and sharing about how sections are going. We will do this every week for the rest of the semester.

Teaching Math (45 min)

Math Anxiety

What to do to counter it:

Lecture tutorials:

Do Lecture tutorial example

BREAK (5 min)

TALC (10 min)

Cover the main points of TALC: what to do, what not to do, common pitfalls, it's easy to be lazy and destroy the effectiveness of TALC, etc.

History of TALC:

Rules of TALC:

  1. GSIs DON'T give out answers.
    • This is rule #1 for a reason.
    • Students will try and bend it. (“I know you can't give me the answer, but can you tell me if this makes any sense?”) Use the same strategy right back at them.
  2. GSIs won't look at your paper.
    • Crystal-clear: there should never be any exceptions to this, ever.
    • Feel free to ask the student to come to the board and work out their steps. But have them leave the homework at home. If they get the same answer… they'll probably realize they didn't even need you!
  3. Board work gets PRIORITY help.
    • Always encourage use of the board.
  4. NO COPYING: Homework must be written up independently.
    • Scan the room and constantly erase any completed problems.
    • Get those pens and paper away from the boards!
  5. TALC Tax: Getting help from a GSI means that you be asked to give help to other students.
  6. GSI busy? Ask students.
    • Remember who did what problem, and point students to each other if someone is curious about an old problem.

TALC tips:

What NOT to do in TALC:

Dealing with problem students (and GSIs):

Abuse of TALC / cheating:

Examples:

Copies of handouts:

Group Work Strategies (45 min)

  1. (5 min) Comment on the use of group work and active learning. (Cite research.)
  2. (5 min) Ask the class what are pitfalls of group work (“Think back to group work that went poorly. Why did it fail?”). Make a list on the board and tie into some of the strategies below.
  3. (10 min) Go over some of the tried-and-true group work strategies.
  4. (25 min = 10 min + 15 min) Give each group (of 3 or 4 people) one group work strategy. Have them brainstorm (10 min) how they would incorporate the activity into a section. Have them think of the types of questions that would be asked, the activities done at each group table, etc. Then have each group share with the class (15 min). Repeat if time allows.

Why group work?

  1. Group work appeals to many learning styles. Group work provides a sense of shared purpose that can increase motivation.
  2. Group work introduces students to the insights and values of their peers.
  3. Life after college will involve group work.
  4. Listening to lecture and taking notes will carry the students only so far in their development. Learning cannot be passive.
  5. We (as college instructors) should be encouraging and developing students' ability to do higher-order thinking.

Main things to comment on:

  1. Be sure to introduce the activity with crystal clear instructions. Ambiguity leads to either poor group work or individuals going off and doing their thing.
  2. The quality of the group work depends sensitively on the activity and questions asked. In this respect, I think all the worksheets on the EBRB could benefit from a considerable overhaul. We should push for more open-ended questions and questions that actually involve group discussion. The focus on problem solving results in individual working; new strategies are needed for this, like
    1. Only hand out one worksheet per group.
    2. Have the students write their answers on a large sheet of paper, work entirely at one of the whiteboards, or have some sort of whiteboard at each table (…).
    3. Anything else?
  3. Good group work activities take time, often more time than just lecturing. However, the added work results in added gains for the students.
  4. A “Q&A” part of section can involve a lot of peer learning, if you get good at enabling the students to answer each other's questions. This requires more sophistication than just asking the smartest student to say the right answer; you have to ask the question in a way such that all of the students have a chance to grapple with the question initially posed.
  5. “I paid all this $$ to be taught by professors and graduate students, not listen to classmates who don't know as much.” Let students know that benefits of group work. They will resist at first, but proper use of group work will show the students they are learning just as much (usually more) than if you were lecturing.
  6. “Students don't like working in groups.” Students are used to working individually. Or students might fear that some group members will not pull their weight. Again, explaining the rational for group work is key, as well as providing checks for students who do not contribute.
  7. Get feedback often.

Suggestions to your students (adapted from McKeachie):

  1. Be sure everyone contributes to discussions and to tasks.
  2. Don't jump to conclusions too quickly. Be sure that minority ideas are considered.
  3. Don't assume consensus because no one has opposed an idea of offered an alternative. Check agreement with each group member verbally, not just by a vote.
  4. Set goals—immediate, intermediate, and long-term—but don't be afraid to change them as you progress. (These should be obvious in sections.)
  5. For bigger multi-part tasks: Allocate tasks to be done. Be sure that each person knows what he or she is to do. Check this before beginning.

Also note that section size and objectives influence the best choice of strategy:

Here are a slew of group work activities to try. (And guess what? Two of your assignments will be to implement one of these in your sections!)

  1. The Interactive Lecture
    • The “biggest” form of group work, where the whole class works as one big group (and you're a group member).
    • Can be used with worksheets and/or demos.
    • Continuously call on a variety of students to explain answers. If you don't want to call on individual students (cold calling), you might call on particular groups (“This group, what do you think?”)
    • This style tends to keep all students engaged and on task.
  2. Concept Mapping
    • A concept map illustrates the connection between terms, ideas, or concepts, which creates higher-level learning. Concepts and terms are written in bubbles and lines are drawn connecting related concepts. With each line, the relation is identified.
    • Students in groups can be given a partially completed concept map and a list of terms that they need to fill in the blanks with. Alternatively, students can work at filling in the relations between various concepts.
  3. Jigsaw Projects
    • Each group contributes to a specific part of the assignment. When members have completed their task, all groups shuffle so that one person from each original group is in each new group. Each person then shares their answer and explanation with the rest of the group.
    • Requires EVERY person in section to be responsible for knowing why the answer is what it is.
    • Good way of covering an entire worksheet worth of questions in a short amount of time.
    • Make sure you assess that groups understand why their answer is what it is.
  4. KWL
    • Stands for “what I Know, what I Want to know, and what I Learned. It happens in three parts.
      • (Part 1) To introduce a new topic, have the students list what they know about the topic before you start discussion. Collect these lists or have them share.
      • (Part 2) Using these lists, you can modify the remainder of the section to address misconceptions and erroneous understanding. Run section employing whatever demos, activities, etc. you want to use.
      • (Part 3) At the end of the unit, have students list what they have learned. You might ask them to identify the three most important concepts, answer some questions, or just free-write. Collect these lists or have them share.
  5. Choreographed Group Tasks
    • Example: Suppose you hand out a worksheet that has six questions. Go through the first two questions of a worksheet on the board (with varying amounts of feedback from students). Then have students work on the next two questions (which are similar but different to the earlier questions) in groups. Then have the class explain to you how to solve question 5 (and do so on the board). Ask for a volunteer to do question 6.
    • Students learn in different ways, so variety is a good thing.
  6. Activity Stations
    • Break the class into a few stations (3 is ideal), where one station deals with one aspect of what you want to cover in section that day.
    • Have the class break into groups of three, one for each station.
    • Each group spends 15 minutes at each station, then rotates.
    • Each station could be either a demo, hands-on activity, some worksheet questions.
    • Instructor must be very careful with timing so they can make it around to each group every 15 minutes to assess.
  7. Open-ended Questions / Case Studies (e.g., Think Like an Astronomer)
    • One thing that makes discussion difficult in science courses is that most of our questions have a single “correct” answer. Asking open-ended questions can encourage students to think about how concepts fit together.
    • Requires that the question is at the appropriate level of the class. Takes more time to prepare.
    • Anything that allows for interpretation is ripe for discussion.
    • e.g., You have a sealed box (of doughnuts) in the front of the class. Have students in groups device experiments to determine what is in the box (without opening it). Then tie this into how astronomers might detect dark matter, etc.
    • e.g., Give each group a budget and a catalog that includes costs of telescopes, mirrors, equipment, launching into space, etc. Have them come up with a plan to build a telescope at some particular wavelength (having to weigh whether it is in space, what resolution it will have, etc.).
    • e.g., Have students reproduce the thought process of famous astronomers and scientists (e.g., Hubble's discover of other galaxies and the realization of the size of the universe).
  8. Send-A-Problem
    • Have each group try to solve a different problem related to material covered in section/lecture.
    • Each group them gives their problem and suggested solution to a different group, which then evaluates the solution and offers corrections.
    • That group then gives their altered solution to another group, who provides the final evaluation.
    • Good for lengthy 7a/7b type problems or problems involving multiple steps. Has groups practice group thinking and comparing/discriminating among multiple solutions.

Homework

  1. Draft a lesson plan. Bring a copy to the next class. We'll discuss techniques for improving your lessons plans then.
  2. We spent time talking about active learning and group work in Ay300. Pick one of the various techniques or group-learning activities and implement it in your next section. Be sure to answer the questions for this week's teaching log before the next class. Also, bring your teaching log with you to class. They will be checked (and the questions discussed).
  3. Send Therese and Jonnie some homework questions from your class. We will have you practice answering questions about these assignments at the board.

Planning Section (remaining time)