Slide 1

Flipping the Classroom: Beginners to Advanced Sophia Georgiakaki AMATYC 2014

Slide 2

Why Flip? 3 credits not enough time to cover content Success rates 42% or lower Students claim to understand lecture in class but cannot figure out problems at home

Slide 3

What I Needed: Increase lecture time (learning time) Increase practice time Supervise problem solving Increase success rates

Slide 4

What Is Needed to Flip: Access to course material outside of class Incentives for students

Slide 5

Two Kinds of Audiences MATH090 Pre-Algebra MATH095 Beginning Algebra LAB HOUR HAVE SEEN THE CONTENT BEFORE DO NOT GO ONLINE VOLUNTARILY LOW RETENTION

Slide 6

Two Kinds of Audiences MATH100/132/181/200/202 MOST ARE LEARNING THE MATERIAL FOR THE FRIST TIME GO ONLINE OFTEN AND FOR MULTIPLE REASONS HIGH RETENTION

Slide 7

Beginners Flip Pre-lecture Exercises Pre-lecture Notes Complete Lecture Notes Readings Writing/Journal Entries

Slide 8

Advanced Flip Videos of Problem Solving Flip-books Web-comics YouTube Channel MyOpenMath

Slide 9

Pre-lecture Exercises Pre-Algebra Show that the difference of two whole numbers is not always a whole number Use N=8 to show that N/N=1 give two more examples of N/N=1

Slide 10

Pre-lecture Exercises Beginning/Pre- Algebra We received four boxes of supplies; each box contains 4 shampoos (4s), 5 conditioners (5c), 3 masks (3m), and 9 hair sprays (9h); what are the quantities of items delivered?

Slide 11

Pre-lecture Exercises Beginning/Pre- Algebra Use prime factorization to simplify 220/330; use prime factorization to simplify (2x 2 y 4 )/(6x 5 y) Find a factor pair of (-24) that adds to 10

Slide 12

Pre-lecture Exercises Intermediate Algebra Evaluate (x-2)/(x+3) for x=3,2,1,0,-1,-2,-3 Evaluate the polynomial 2x 2 +3x5 forx=a+3, x=x+3, x=-x, x=x+h

Slide 13

Pre-lecture Exercises College Algebra Evaluate (x-2)/(x-3) for x=3.1,3.01,3.001,2.9,2.99,2.999 x=1000, 1000000, 1000000000 x=-1000,-1000000,-1000000000

Slide 14

Pre-lecture Exercises College Algebra Preview Exercises Find the ordered pairs (0,_) and (_,0) satisfying 4x-3y-4=0 Solve for y: x = 5/y + 4 f(x)=a(x 4 -3x 2 -4), f(3)=-150; a=?

Slide 15

Pre-lecture Exercises Precalculus Plot the points (r,) in a polar coordinate system for = 0,/6,/3,/2,2/3,5/6, r-= 1 - cos

Slide 16

Pre-lecture Notes Provide Incomplete Notes Students review them before they come in We complete them together in class More time for actual problem solving and applications Organized and correctly laid out

Slide 17

I N T A E L R G M E E B D R I A A T E

Slide 18

Slide 19

D I S C R E T E

Slide 20

Slide 21

STAT IST ICSSTAT IST ICS

Slide 22

Slide 23

Complete Lecture Notes Instructor fills-in pre-lecture notes (Tablet PC or ELMO) Scan to PDF Publish on Bb Easy review (instructors/students) Available to those who miss class

Slide 24

Readings Algebra/Discrete/Statistics Read key parts of next section Answer basic questions (optional) or fill in parts of incomplete notes Solve easiest exercises

Slide 25

Readings Algebra Reading 1: Bring Course Outline How many pts for a C? Pg 1, Sets of Numbers, Exercise 1 Pg 2, The Real Number Line, Exercise 2 Pg 4, Important Mathematical Terms, Exercise 7

Slide 26

Readings Algebra Reading 2: Page 23, Distinction between Terms and Factors, Exercise 1 Page 26, Evaluating Expressions, Exercise 5a Page 27, Evaluating Formulas, Exercises 6(b)(c)(d)

Slide 27

Readings Discrete Read definitions section 4.1 Examples 4.1:1,2,3,4,5,6,7,8,9 with solutions Theorem 4.1.1 with proof Read definitions & theorems section 4.2 Examples 4.2:1,2,3,4 with solutions Theorem 4.2.2 with proof

Slide 28

Readings Pre-Algebra Readings across sections Each chapter has 4 6 readings Instructors choose one reading for grade and one for extra credit Some readings are Per-Algebra topics; others are advanced topics

Slide 29

Readings Pre-Algebra Topics (Chapter) Vectors in One Dimension (2) Absolute Value Equations (2) Order in Scientific Notation (3) Unit Rates (3) Average (3) Trigonometric Circle (4) Probability (4)

Slide 30

Readings Pre-Algebra Topics (Chapter) Percent Fractions (4) Sequences (5) Direct Proportion (5) Properties of Exponents (5) Percent Ratios (6) Right Triangle Trig (7) Area Ratios (7)

Slide 31

Readings Pre-Algebra Topics (Chapter) Distance Formula & Eqn of Circle (7) Graphing Inequalities (7) Presentation of Data (8) Relative Frequency Distributions (9) Variance and Standard Deviation (9) Area Under Probability Curve (9) Multiplication Rule of Probabilities (9)

Slide 32

Readings in Pre-Algebra Students reading level Answers provided in the book (should we or should we not?) Must start in class Ideally, finish in class Model proper reading Pick best fit activity

Slide 33

Writing/Journal Entries Guided reading notes (pre-lecture) Critical thinking questions (post-lecture) In-depth thinking of material Topics for in-class discussion

Slide 34

Writing/Journal Entries Pre-Algebra Part of every homework Guided entries short & targeted Emphasis on vocabulary and terminology May be assigned before or after topics are covered

Slide 35

Writing/Journal Entries How can Journal Entries flip? Guided entries related to future/repeating topics Journals as reflections to readings Critical thinking questions related to two or more topics

Slide 36

Writing/Journal Entries Pre-Algebra Product Used in Division Check (1) Product & Prime Factors (1) Product of Integers w/ Opposite Signs (2) Product of Two Decimals (3) Product of Fractions (4) Product of Identical Factors (5)

Slide 37

Writing/Journal Entries Pre-Algebra Decimals as Fractions (3) Base-ten Fractions (4) Percent Fractions (4) Percent Ratios (7) Percent Proportions (8) Percent Probability (9)

Slide 38

Writing/Journal Entries College Algebra / Precalculus: Sign diagram & polynomial inequalities Sign diagram & rational inequalities Sign diagram & graph of polynomial Sign diagram & multiplicity of zeros Sign diagram & graph of rational function

Slide 39

Writing/Journal Entries College Algebra / Precalculus: Even/Odd Functions Even/Odd and hyperbolic sine/cosine Even/Odd and trigonometric functions Range of sine/cosine in right triangles Range of sine/cosine in coordinate system Range of sine/cosine in Unit Circle Tangent and cotangent axes

Slide 40

Do These Work? They require reading and writing Reading skills? Math skills? Organizational skills? Writing skills? Attention span? Brain processes?

Slide 41

Multimedia Vs. Print Which is a better messenger? How available is each one? How much of each? Should reading be eliminated altogether? Will students do the work? What is the audience?

Slide 42

Multimedia & Flip Responsibility on students Commitment Meeting time not productive if homework has not been done Interactive activities must be included The more immediate, the better

Slide 43

Slide 8: Advanced Flip Videos of Problem Solving Flip-books Web-comics YouTube Channel MyOpenMath

Slide 44

First Videos: Podcasts Podcasts of problem solving only Free Software (JING) 5 min max Fast, short, better View as many times as needed Stop/resume/rewind My students were listening to my teaching

Slide 45

Slide 46

Slide 47

Slide 48

Podcasts: Did They Work? For some only Notes and videos paired up BUT Multimedia / text were separate Reading the notes? Viewing the videos? Linking the video to the appropriate notes?

Slide 49

Sorry, I Missed Class Sophia: Read the book Read the notes View the videos Work on book problems (solutions) Work on the practice quiz Go to Learning Center Student: Can you show me?

Slide 50

Podcasts: whats missing? Videos for all 50 hwk problems Organizational skills Problem #29 is related to which video? Note taking while watching If absent, ability (and willingness) to find material online Material was NOT GROUPED

Slide 51

Flip-books

Slide 52

Slide 53

Flip-books: All in One WHAT IS ALL? Text (Notes), Audio/Video Interactive, Feedback Short and right to the point Had to invest in commercial software FREE to students

Slide 54

Flip-books: Drawbacks Not all students viewed flip-books Several were unable to keep track of course schedule Internet needed to view Most homework still on paper Those who left it for last minute were overwhelmed

Slide 55

Web-comics

Slide 56

Web-comics Commercial software (cheaper) Student alterations allowed Fill blanks/balloons, create story & videos More appealing/fun final product Easy to use HAS IT ALL: Text/Notes, Audio/Video Hyperlinks, Interactive, Feedback

Slide 57

Web-comics: Yes? More fun & easy to learn Hyperlinks Video Audio Book form Reuse same videos

Slide 58

Web-comics: No? Fun and interesting math stories are challenging! Story made comics lengthy Illustration made them lengthier Grade assigned was necessary Okay for Early Childhood students

Slide 59

YouTube Channel Pre-lecture: View videos Take notes / answer questions Bring to class for grade Post-lecture: Ask me a question Ask for clarification Ask about specific hwk problem

Slide 60

YouTube Channel Most links are private Most links correspond to specific, in-class activities or homework problems Able to assist asynchronously and over the weekend Instructor must be willing to stay connected during off-hours

Slide 61

Slide 62

YouTube Channel Create a Channel by registering in YouTube (email address) Creating videos is super easy Phone / Webcam / Screenshots Make your videos short Uploading to YouTube is very easy

Slide 63

YouTube Channel Decide how wide of an audience you want to have Decide how to market your videos (in-class only or wide audience?) Students will watch if they have a reason to

Slide 64

MyOpenMath (MOM) OER Part of Kaleidoscope Project 2011 Used in my sections starting in Spring 2012 Used in ALL Intermediate Algebra sections at TC3 starting in Spring 2014

Slide 65

MyOpenMath (MOM) Video tutorials with workbook Algorithmically generated practice problems immediately following tutorial Algorithmically generated homework problems Automated Gradebook

Slide 66

MyOpenMath (MOM) We supplement with Incomplete notes Complete notes Customized courses per instructor YouTube Channel Library support Customized homework problems Practice tests / Review assignments

Slide 67

MyOpenMath (MOM) 100% flipped (hybrid/online) Videos (mandatory and graded) Complete practice problems Fill out notes and bring to class Complete homework in class Come to class with questions

Slide 68

MyOpenMath (MOM) Partially flipped (fastrack & majority of sections) View certain videos ahead of time Fill-out part of incomplete notes or workbook Complete rest of notes in class Start homework in class Bring homework questions to class

Slide 69

MyOpenMath (MOM) Traditional Instruction Hide videos Hide incomplete notes Use for homework practice only

Slide 70

MyOpenMath (MOM) No need to re-invent the wheel Thousands of videos available Ability to add videos Ability to add exercises Keep content organized Keep the order you want Customize to instruction style

Slide 71

Slide 72

Slide 73

Slide 74

Slide 75

Slide 76

Slide 77

Success Rates Spring 2011 Publishers Software Sophias fully online: 23% Overall: 37.5% Fall 2011 OER Non-Flipped (no MOM) Sophias fully online: 6% Overall: 48%

Slide 78

Success Rates Spring 2012 MOM Sophias fully online: 31% Overall: 51% Fall 2012 MOM Sophias fully online: 50% Overall: 51%

Slide 79

Success Rates Summer 2013 Customized MOM Sophias in-class: 83% Fall 2013 Customized MOM Sophias combined: 75%

Slide 80

Success Rates Spring 2014 Customized MOM to all sections Overall Success: 53% Avg Past Springs Success: 42% Summer 2014 Customized MOM to all sections Success: 67%

Slide 81

Why Do I Flip? I need less time to lecture I have more time to demonstrate practice problems I can supervise problem solving I have better success rates

Slide 82

Do You Want To See? Go to www.myopenmath.comwww.myopenmath.com Register for my practice course: Course ID: 466 Enrollment Key: welcome Look around and play

Slide 83

Do You Want More? Go to www.myopenmath.comwww.myopenmath.com Request instructor account Email me with questions: georgis@tc3.edu

Slide 84

Think of the Possibilities! Sophia Georgiakaki georgis@tc3.edu Looking Forward to More