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Teaching Math Classically
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INTRODUCTION
Teaching Math Classically—Introduction: How to Teach Mathematics Well (Preview Content) -
LESSONSLesson 1: The State of Math Education in America (Preview Content)3 Topics|1 Quiz
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Lesson 2: How to Improve Math Education in the US (Preview Content)3 Topics|1 Quiz
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Lesson 3: The Trivium and Mathematics Education3 Topics|1 Quiz
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Lesson 4: The Grammar of Mathematics3 Topics|1 Quiz
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Lesson 5: Mathematics, Memory, and Retained Learning3 Topics|1 Quiz
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Lesson 6: Cultivating a Reflective and Collaborative Faculty3 Topics|1 Quiz
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Lesson 7: Strategies for Reforming a Math Program3 Topics|1 Quiz
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Lesson 8: Teaching Math with Socratic Dialogue—Part 13 Topics|1 Quiz
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Lesson 9: Teaching Math with Socratic Dialogue—Part 23 Topics|1 Quiz
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Lesson 10: Rhetoric in the Mathematics Classroom3 Topics|1 Quiz
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Lesson 11: Taking a Liturgical Audit3 Topics|1 Quiz
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Lesson 12: Constructing Mathematical Arguments3 Topics|1 Quiz
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Lesson 13: Mathematical Proofs Students Should Know2 Topics|1 Quiz
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Lesson 14: The Beauty of Math and Poetic Instruction3 Topics|1 Quiz
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Lesson 15: Teaching Math as Storytelling3 Topics|1 Quiz
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Lesson 16: Essential Elements for Teaching Math2 Topics|1 Quiz
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Lesson 17: Mathematics as a Humanities Subject4 Topics|1 Quiz
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INTERVIEWSInterview: Andrew Elizalde on Math Education
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Interview: Andrew Elizalde on How He Became Interested in Mathematics1 Topic
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Interview: Andrew Elizalde on His Journey into Classical Education1 Topic
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Interview: Bill Carey on Teaching Math Classically
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END OF COURSE TESTEnd of Course Test: Teaching Math Classically1 Quiz
Lesson 16,
Topic 3
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Discussion Questions
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- What appeals to you most about the idea of teaching in the poetic mode? If you are more comfortable with an analytical pedagogy, what steps can you take to get better at telling a story? How can you convert the objectives you want to reach into the climaxes of an ongoing story?
- In what ways can you take the idea of “rehumanizing” math and expand it in your classroom? What are some methods to reengage your students’ imaginations?
- How does Andrew’s illustration of the twelfth-century astronomers beginning to use trigonometry give you ideas for teaching by telling a story? What are the tensions he creates, then resolves? How does he keep the “story” going over several days or lessons?
- To take up Andrew’s challenge: Is there one concept you can identify whose history would make a good story? Is there a particular application of math that you could work backwards from to the time when people first began to understand how to use it?