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Class Time Reconsidered Derek Bruff Vanderbilt University @derekbruff / derekbruff.org

Class Time Reconsidered

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Presentation given at the University of Denver Mathematics Department, October 25, 2013. Be sure to check the notes for links about the examples seen in the slides.

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Page 1: Class Time Reconsidered

Class Time Reconsidered

Derek Bruff

Vanderbilt University

@derekbruff / derekbruff.org

Page 2: Class Time Reconsidered

Considering that a tiny acorn can grow into a

mighty oak tree, which of the following

contributes the majority of the mass of the

tree?

A. Soil

B. Air

C. Water

D. Sunlight

Warm-Up

Page 3: Class Time Reconsidered

Times for

Telling(Schwartz & Bransford, 1998)

Page 4: Class Time Reconsidered

The Flipped ClassroomThe Flipped ClassroomThe Flipped ClassroomThe Flipped Classroom

Page 5: Class Time Reconsidered

Class TimeClass TimeClass TimeClass Time

Transfer Assimilate

Traditional ApproachTraditional ApproachTraditional ApproachTraditional Approach

Before ClassBefore ClassBefore ClassBefore Class After ClassAfter ClassAfter ClassAfter Class

Page 6: Class Time Reconsidered

Class TimeClass TimeClass TimeClass Time

Transfer Assimilate

Transfer Assimilate

Traditional ApproachTraditional ApproachTraditional ApproachTraditional Approach

Flipped ApproachFlipped ApproachFlipped ApproachFlipped Approach

Before ClassBefore ClassBefore ClassBefore Class After ClassAfter ClassAfter ClassAfter Class

Page 7: Class Time Reconsidered

Class TimeClass TimeClass TimeClass Time

Transfer Assimilate

Transfer Assimilate

Traditional ApproachTraditional ApproachTraditional ApproachTraditional Approach

Flipped ApproachFlipped ApproachFlipped ApproachFlipped Approach

Before ClassBefore ClassBefore ClassBefore Class After ClassAfter ClassAfter ClassAfter Class

(Asynchronous) (Asynchronous)(Synchronous)

Page 8: Class Time Reconsidered

Class TimeClass TimeClass TimeClass Time

Transfer Assimilate

First

Exposure

Practice &

Feedback

Traditional ApproachTraditional ApproachTraditional ApproachTraditional Approach

Flipped ApproachFlipped ApproachFlipped ApproachFlipped Approach

Before ClassBefore ClassBefore ClassBefore Class After ClassAfter ClassAfter ClassAfter Class

(Asynchronous) (Asynchronous)(Synchronous)

Page 9: Class Time Reconsidered

Class TimeClass TimeClass TimeClass Time

Transfer Assimilate

First

Exposure

Practice &

Feedback

Traditional ApproachTraditional ApproachTraditional ApproachTraditional Approach

Flipped ApproachFlipped ApproachFlipped ApproachFlipped Approach

Before ClassBefore ClassBefore ClassBefore Class After ClassAfter ClassAfter ClassAfter Class

(Asynchronous) (Asynchronous)(Synchronous)

Further

Exploration

Page 10: Class Time Reconsidered

AN EXAMPLEAN EXAMPLEAN EXAMPLEAN EXAMPLE

Page 11: Class Time Reconsidered

First Exposure – Pre-Class Reading

Page 12: Class Time Reconsidered

Practice & Feedback – Clicker

Questions

Three cards are placed in a hat—one card is blue on both

sides, one is red on both sides, and one has a blue side and a

red side. A card is drawn at random from the hat and you see

that one side is blue. What’s the probability that the other

side is blue?

A. 1/3

B. 1/2

C. 2/3

D. 3/4

Page 13: Class Time Reconsidered

Further Exploration – Problem Sets

The historical probabilities that a birth event results in

identical or fraternal twins are about 1/300 and 1/125,

respectively. Given that Elvis Presley had a twin brother

who died at birth, what is the probability that Elvis was an

identical twin? Assume that boys are as likely to be born,

in general, as girls. (Hint: This is the same probability that

a birth event results in identical twin boys given that we

know it results in twin boys.)

Page 14: Class Time Reconsidered

First Exposure(Walvoord & Anderson, 2009)

Page 15: Class Time Reconsidered

Screencasts

Grand Valley State University Math Department

Page 16: Class Time Reconsidered

Textbooks

Page 17: Class Time Reconsidered

Connections

Scaffolding

Points

Page 18: Class Time Reconsidered

Pre-Class Reading Quizzes

Page 19: Class Time Reconsidered

Reading Response Essays

Page 20: Class Time Reconsidered

Practice &

Feedback(aka Sense-Making)

Page 21: Class Time Reconsidered

Instructor Poses Question (<1 Min)

Students Answer Independently

(1-3 Min)

Instructor Views Results (<1 Min)

If Most Answer Correctly,

Briefly Discuss Question (1-3 Min)

If Most Answer Incorrectly,

Backtrack (5+ Min)

If Students Are Split, Have Students Discuss

in Pairs and Revote(1-5 Min)

Instructor Leads Classwide Discussion

(2-15 Min)

Peer

Instruction

Page 22: Class Time Reconsidered

Misconception Questions

Your sister calls to say she’s having twins.

Which of the following is more likely? (Assume

she’s not having identical twins.)

A. Twin boys

B. Twin girls

C. One girl and one boy

D. All are equally likely.

Page 23: Class Time Reconsidered

Application Questions

Adam Lucas, Mills College

Page 24: Class Time Reconsidered

True or False: If A is an m x nmatrix, then the dimension of

the row space of A plus the dimension of the nullspace of A

equals n.

23%

18%

32%

27% A. True – High Confidence

B. True – Low Confidence

C. False – Low Confidence

D. False – High Confidence

Synthesis Questions

Actual response data from last week!

Page 25: Class Time Reconsidered

Doodles + Camera Phones

Page 26: Class Time Reconsidered

Rubrics + Google Docs

Page 27: Class Time Reconsidered

All-Skate

Page 28: Class Time Reconsidered

Further

Exploration

Page 29: Class Time Reconsidered

Q&A via Piazza

Page 30: Class Time Reconsidered

Social Bookmarking via Diigo

Page 31: Class Time Reconsidered

Application Projects

Page 32: Class Time Reconsidered

Application Projects

Page 33: Class Time Reconsidered

Social Pedagogies(Bass & Elmendorf, 2009)

Page 34: Class Time Reconsidered

The The The The unFlippedunFlippedunFlippedunFlipped ClassroomClassroomClassroomClassroom

Page 35: Class Time Reconsidered

Derek Bruff

@derekbruff / derekbruff.org

[email protected]

Flickr (CC) Photo Credits

• "Oak Tree," MunstiSue

• “mentos + diet coke,” the Cobras

• “final exam” (flipped), dcJohn

• “Super 8,” Eric Hart

• “Stats,” Derek Bruff

• “Numbers,” Luis Argerich

• “Chain of Addiction,” Evan Leeson

• “College Halls,” Derek Bruff

• “Little Shredder,” clappstar

• “IMG_9936e2,” Abby Bischoff

• “Skates,” marythom

• “Spiral out, keep going,” Tawcan

• “The Calm After the Show,” Thomas

Hawk