About Logical Reasoning
Welcome! We're excited that you are interested in teaching Logical Reasoning at BEAM 6.
Why Logical Reasoning?
How do we help students use deductive reasoning to understand mathematics? Answering this question is the goal of the Logical Reasoning classes.
Our logic classes help students develop skills in deductive reasoning, case analysis, working methodically, and proof by contradiction. Additionally, students learn to carefully read mathematical writing to understand new kinds of math problems. These are key skills for their future success in mathematics.
Students will choose between three or four Logical Reasoning classes, each based on a different type of logic puzzle as a "hook" for the students. In each class, students begin by developing their skills on the chosen logic puzzle, and then they transition to doing math questions that use those same skills. By drawing explicit connections between the two types of work, we hope that students will develop new ways of thinking about the situations they encounter.
BEAM 6 is a flexible program and fairly new, so there is a great deal of room for improvisation and creativity in the logic classes. We hope that you will help us develop these courses and to grow them out over time.
The Logical Reasoning course begins by solving classic logic puzzles which provide the core skills of the class: deductive reasoning, case analysis, working methodically, and careful reading. We also want to lay the groundwork for proof by contradiction: the idea that you can try a case and go until you see a contradiction; then you can return and rule out that case.
As students gain these skills on logic puzzles, they will transition to solving math problems using those same skills. By explicitly drawing out the relationship between the puzzles and the problems, we hope that students will see how clear logical reasoning plays a deep role in mathematics.
Although we've developed a basic outline for sample classes, we don't have detailed lesson plans or handouts for students. You will have the flexibility (and responsibility) for developing your day-to-day lesson plans, selecting problems, and creating handouts. We just provide an outline, so that all students get the core skills. Indeed, if you have an idea for doing things differently, please suggest it!
More on Class Content
Although the courses all end up in a similar place, there will be several flavors of the course, each based around different puzzles. Allowing students to choose their course based on the type of logic puzzle it does will build their engagement. Additionally, we can experiment and see if specific types of puzzles better facilitate student learning. We have three ideas for types of logic puzzles that might be a good fit, but you can propose others! You may click on any of the links below for more details about how the puzzles will fit into the class.
Ready to Apply?
Our applications all involve giving a course description about how you would teach your course. For the Logical Reasoning course, please include:
- A short description of how you would teach a particular logic puzzle. Each of the links above contains a puzzle you should use in your proposal. If you are proposing something else, please include a specific puzzle and then discuss how you would go over it within the course.
- A short description of how you would teach a particular math problem. You may use the math problem provided in the descriptions or choose your own. How would you draw connections between solving this problem and solving the logic puzzle you chose?
In addition, we ask that you send us a copy of your CV or resume, or a short summary of your education and work experience. (In particular, please don't spend hours polishing your CV on our account if you do not have one ready!)
Once we have received your application, our hiring committee will review it and then get back to schedule an interview if we feel you're a good fit.
Ready to apply? Want to preview the application? Please click the button below!